SlideShare a Scribd company logo
1 of 81
JAMES ATKINSON
UNIVERSITY OF EXETER: STUDENT ID: 640040686
SUPERVISOR: DR. HELEN SMITH
A WAVE RESOURCE
ASSESSMENT FOR THE ISLES
OF SCILLY
i
Contents
List of Figures..............................................................................................................................iii
List of Tables ............................................................................................................................... iv
Acknowledgements ...................................................................................................................... v
Abstract......................................................................................................................................vi
Table of Notation........................................................................................................................ vii
1 Introduction.......................................................................................................................... 1
1.1 The Isles of Scilly............................................................................................................ 1
1.2 Current Infrastructure....................................................................................................1
1.3 Wave Resource.............................................................................................................. 2
1.4 Project Aims.................................................................................................................. 3
2 Dataset.................................................................................................................................4
3 Data Validation ..................................................................................................................... 9
3.1 Introduction.................................................................................................................. 9
3.2 Method......................................................................................................................... 9
3.3 Results........................................................................................................................ 13
3.3.1 Comparison of Spectral Data................................................................................. 13
3.4 Conclusion................................................................................................................... 15
4 Wave Resource ................................................................................................................... 16
4.1 Intro............................................................................................................................ 16
4.2 Method....................................................................................................................... 16
4.2.1 Joint Occurrence Tables, Energy Yield and Power Calculations ................................ 16
4.2.2 Temporal Variation............................................................................................... 17
4.2.3 Directional Analysis .............................................................................................. 18
4.2.4 Spatial Variation................................................................................................... 18
4.2.5 Spectral Analysis................................................................................................... 20
4.3 Results........................................................................................................................ 21
4.3.1 Joint Occurrence Tables andAnnual Energy Yield ................................................... 21
4.3.2 Temporal Variation............................................................................................... 23
4.3.3 Directional Analysis .............................................................................................. 29
4.3.4 Spatial Variation................................................................................................... 34
4.3.5 Spectral Analysis................................................................................................... 35
4.4 Conclusion................................................................................................................... 37
5 Extreme Wave Analysis........................................................................................................ 38
5.1 Intro............................................................................................................................ 38
5.2 Method....................................................................................................................... 38
ii
5.2.1 Extreme Value Analysis and the 100-Year Wave ..................................................... 38
5.2.2 Storm Analysis...................................................................................................... 39
5.3 Results........................................................................................................................ 40
5.3.1 100-Year Wave..................................................................................................... 40
5.3.2 Storm Analysis...................................................................................................... 42
5.3.3 Spatial Variation during Storm Conditions.............................................................. 44
5.4 Conclusion................................................................................................................... 45
6 Local Constraints................................................................................................................. 46
6.1 Introduction................................................................................................................ 46
6.2 Constraints.................................................................................................................. 46
6.2.1 Infrastructure and Grid constraints........................................................................ 46
6.3 Environmental Impact.................................................................................................. 48
6.3.1 Physical................................................................................................................ 48
6.3.2 Biological ............................................................................................................. 48
6.3.3 Social................................................................................................................... 50
7 Conclusion.......................................................................................................................... 51
8 Discussion and Limitations................................................................................................... 53
9 References.......................................................................................................................... 54
10 Appendix......................................................................................................................... 56
10.1 Joint Occurrence Tables andAnnual Yield...................................................................... 56
Extreme Wave Analysis Plots................................................................................................... 63
10.2 Wave Roses................................................................................................................. 68
11 Supervision Record Forms................................................................................................ 71
iii
List of Figures
Figure 2-1; Details of the 12 hindcast outputlocations around the Isles of Scilly............................... 5
Figure 2-2; Maps the location of the 12 hindcast locations.............................................................. 6
Figure 2-3; Details the 7 buoys used for validation. Source; (van Nieuwkoopet al., 2013) ................. 6
Figure 2-4; Validation results from the original hindcast study. Source; (van Nieuwkoopet al., 2013) 7
Figure 2-5; Bias betweenmodelledvaluesandobservedvaluesfromPRIMaREwave buoyD.(van
Nieuwkoop et al., 2013) ................................................................................................................ 7
Figure 2-6; Results from regression analysis previously conducted, (van Nieuwkoop et al., 2013) ......8
Figure 3-1; Shows location of WaveNet buoy and local bathymetry;................................................ 9
Figure 3-2; Compares uncorrected annual means over hindcast period with spectral data for 2015 13
Figure 3-3; Compares corrected annual means over hindcast period with spectral data for 2015 .... 13
Figure 3-4; Showsuncorrectedandcorrectedminimum, maximumandaverage meansforeach
month with spectral data plotted for comparison......................................................................... 14
Figure 3-5; Showsuncorrectedandcorrectedmonthlysignificantheightswithspectral dataplotted
for comparison........................................................................................................................... 14
Figure 3-6; Showsuncorrectedandcorrectedmonthlyenergyperiodswithspectral dataplottedfor
comparison................................................................................................................................ 15
Figure 4-1; Power per meter of wave for each sea state................................................................ 17
Figure 4-2; Condensed table showing hours occurrence each year of each sea state at location 4 ... 19
Figure 4-3; Hours occurrence each year of each sea state at location 1.......................................... 21
Figure 4-4; Annual energy generated per meter of wave for each sea state at location 1 ................ 21
Figure 4-5; Hours occurrence each year of each sea state at location 4.......................................... 22
Figure 4-6; Annual energy generated per meter of wave for each sea state at location 4 ................ 22
Figure 4-7; Time series of power at location 1 .............................................................................. 24
Figure 4-8; Time series of power at location 4 .............................................................................. 24
Figure 4-9; Monthly averages over hindcast period at location 1................................................... 25
Figure 4-10; Monthly averages over hindcast period at location 4 ................................................. 25
Figure 4-11; Minimum, maximum and mean monthly average power per meter of wave ............... 26
Figure 4-12; Minimum, maximum and mean monthly average significant height............................ 26
Figure 4-13; Minimum, maximum and mean monthly average energy periods............................... 27
Figure 4-14; Annual mean power over hindcast period ................................................................. 27
Figure 4-15; Seasonal variation at location 1 ................................................................................ 28
Figure 4-16; Seasonal variation at location 14............................................................................... 28
Figure 4-17; Hourly occurrence of sea states from 0-180 degrees.................................................. 29
Figure 4-18; Hour occurrence table of sea states between 180-360 degrees .................................. 30
Figure 4-20; Wave rose for locations 1-4...................................................................................... 32
Figure 4-21; Map with wave roses superimposed ......................................................................... 33
Figure 4-22; Spatial variation of mean power............................................................................... 34
Figure 4-23; Spectral data plotted for each Hm0 and Tm-10 pair................................................... 35
Figure 4-24; Spectral data plotted by direction............................................................................. 36
Figure 5-1; Frequency distribution of significant heights at location 4 ................................ 38
Figure 5-2; Extreme significant heights with 95% confidence bounds at location 1 ......................... 41
Figure 5-3; Extreme significant heights with 95% confidence bounds at location 4 ......................... 41
Figure 5-4; Most energetic sea states recorded each year throughout the hindcast period ............. 42
Figure 5-5; Largest significant heights recordedeach year throughout the hindcast period............. 43
Figure 5-6; Spatial variation during extreme conditions................................................................. 44
Figure 6-1; Available substation capacity on Bryher and St Martins................................................ 47
iv
Figure 6-2; Available substation capacity at St Mary's ................................................................... 47
Figure 6-3; Geological survey....................................................................................................... 48
Figure 6-4; Marine designation and marine species and habitat concentrations ............................. 49
Figure 6-5; Mean annual power and marine designations ............................................................. 50
List of Tables
Table 2-1; Table of proposed correction factors.............................................................................. 8
Table 3-1; Spectral data for a single sea state............................................................................... 10
Table 4-1; Summary statistics for all location................................................................................ 23
Table 4-2; Summary table of power by direction........................................................................... 31
Table 5-1; Summary table of extreme conditions experienced at all locations ................................ 43
Table 6-1; Local constraint data sources....................................................................................... 46
v
Acknowledgements
Firstly, I would like to thank my supervisor Dr. Helen Smith for her continued support and
advice throughout the duration of this dissertation. Her help and advice has contributed to
the success of this report.
I would also like to thank Johanna van Nieuwkoop-McCall, Prof. George Smith and Lars
Johanning who, along with Dr. Helen Smith, produced the hindcast dataset analysed in this
report and whose research and work within the marine renewables industry continues to
lead the way and gain international recognition.
Special thanks should also be given to Julian Pearce, Senior Officer of Physical Assets and
Natural Resources within the Isles of Scilly council, for his continued patience and readiness
to share information and resources.
vi
Abstract
Due to their exposed location in the Atlantic Ocean, the Isles of Scilly experience some of
the UK’s largest waves. This report studies the variation in wave power at 12 locations
around the Isles by analysing a 23-year hindcast dataset. The dataset was produced using
the ERA-Interim global reanalysis dataset provided by the European Centre for Medium-
Range Weather Forecasts, (ECMWF). Knowledge of temporal and spatial variation, extreme
wave conditions and local constraints is essential for locating wave energy converters.
There is a large temporal and spatial variation around the Isles of Scilly. Locations to the
south-west of Isles experience a mean annual power of 37.5kW/m whilst on the sheltered
eastern side the mean annual power is as little as 6.7kW/m. At the most energetic sites
monthly mean power can vary from 3-7kW/m during summer months to over 100kW/m in
winter months. Extreme wave analysis shows there is potential for a 1 in 100 year wave to
have a significant height of almost 20m.
However, although there is an abundant wave resource the biologically diverse marine
environment, exposed location and unique setting of the Isles of Scilly can produce different
problems.
vii
Table of Notation
1
1 Introduction
1.1 The Isles of Scilly
The Isles of Scilly are a small archipelago located 28 miles off the south-west tip of Cornwall.
The Isles consist of over 190 islets composed of granite rock dating back over 300 million
years. There are five inhabited islands and a permanent population of 2,203 residents at the
2011 census, (ONS, 2011).
The exposed location within the Atlantic Ocean has created a complex ecosystemof
significant cultural and environmental importance. The Isles and surrounding area are a
designated Marine Special Area of Conservation, (SAC), and there are 11 Marine
Conservation Zones around the Isles. The Islands themselves are a designated Area of
Outstanding Natural Beauty, Heritage Coast and 26 Sites of Specific Scientific Interest cover
34% of the Islands, (Natural England, 2013). Thus, highlighting the sensitive and complex
environment.
1.2 CurrentInfrastructure
In order to meet electricity requirements, the Isles rely on a single 33kV electricity
transmission line connected to the mainland. The 55km cable was installed by South
Western Electricity Board in 1988 and is currently owned and maintained by Western Power
Distribution, the current Distribution Network Operator for the South-West. The cable has a
capacity of 7.5MW, and can be used to back-feed 4MW to the mainland if required. This
rarely occurs and would primarily be from the 5.7MW backup power station on St Mary’s,
during times of blackout. The cable was exposed by the 2013/14 winter storms and is due
for replacement, at an estimated replacement cost of £25million, (Isles of Scilly Council,
2014).
St Mary’s, Tresco and St Martins are on a shared distribution network, and are effectively a
self-contained micro-grid. Bryher and St Agnes are on spurs from this loop and the lack of
opportunity to back feed has required two local back up power stations on the Islands. (Isles
of Scilly Council, 2007).
2
Energy supply to the Isles of Scilly is restricted by the Islands’ peripheral location preventing
the local population access to certain energy sources. The 2011 census showed 40% of local
residents do not have central heating systems and electricity is currently used to meet a
large proportion of demand, including heating and cooking. Since the installation of the
cable, locals can receive the Economy 7 tariff which is widely used due to the use of electric
storage heaters. There is an early evening peak load of 4.5MW and a night time Economy 7
peak load of 4.5MW.
1.3 Wave Resource
Due to their exposed location in the Atlantic, the Isles experience some of the UK’s largest
waves. Earlier this year, (February 2016), the Isles were hit by storm Imogen and waves with
a significant height of over 13.5m were recorded, (Met Office, 2016). In an assessment of
the wave and tidal resource by the South West of England Regional Development Agency,
results found that throughout the South West region; “in water depths of around 50 m, the
all-year average wave power varies between 38 kW/m at exposed locations near the Isles of
Scilly and 19 kW/m in more sheltered sites near Lundy Island,” (SWRDA, 2004).
Utilising the abundant wave energy resource could help reduce dependence on electricity
supply from the mainland, help to cut carbon emissions and help the Isles meet their long
term goal of self-sustainability. As well as the positive environmental impacts the
development of wave energy projects could help to diversify the local economy. At the
moment At least 80% of the Islands economic income stems directly from tourism.
Currently there is only one wave energy project in planning around the Isles. 40 South
Energy have proposed a small project near St Mary’s airport with the installation of 3,
200kW devices. However, this project was first suggested in 2013 and is still awaiting
consent. Two of three devices have already been sold to an investment company and 40
South Energy have stated that they hope at least part of the third device can be owned by
the local community, (40 South Energy, 2016).
Wave power provides an opportunity for the Isles of Scilly to implement sustainable
technologies without having a significant visual impact on the surrounding landscape.
3
1.4 ProjectAims
There has been little in depth research into the wave resource around the Isles of Scilly with
no academic journals existing on the topic. This report aims to study a 23-year hindcast
dataset produced by the University of Exeter in order to;
 Quantify the available power around the Isles.
 Analyse the temporal and spatial variation around the Isles.
 Analyse extreme wave conditions.
 Identify suitable locations by studying the wave climate and local constraints.
 Assess the feasibility of using wave power to meet all the Isles electricity demand.
4
2 Dataset
The University has produced a 23-year hindcast dataset using the spectral wave model
SWAN, (Simulating WAves Nearshore). SWAN is a third-generation wave model for
obtaining accurate estimates of fundamental wave parameters in large bodies of water
including; coastal areas, lakes, and estuaries. The model accounts for all processes that
generate, dissipate or redistribute wave energy. These include deep water processes of
wind input, whitecapping dissipation, and quadruplet nonlinear interaction. As well as
shallow water processes including, bottom friction dissipation, depth induced breaking and
triad wave-wave interactions, (Ris, Holthuijsen and Booij, 1994).
This section briefly summarises the main methodology of the original hindcast study, for full
details on the model set-up, sensitivity study and data validation please refer to the
following paper; “Wave resource assessment along the Cornish coast (UK) from a 23-year
hindcast dataset,” (van Nieuwkoop et al., 2013).
The model was set-up to cover the area of 4 to 7 degrees west and 49 to 51 degrees north,
encompassing the whole Cornwall coast and the Isles of Scilly. The model ran in non-
stationary mode and the wind and wave inputs were provided by the ECMWF, (European
Centre for Medium-Range Weather Forecasting), dataset. ECMWF runs the ERA-Interim, a
global atmospheric reanalysis utilising the wave model WAM, (Hasselmann et al. 1988).
Before the study was conducted a sensitivity study was done to determine the optimal
model settings. Results were compared to a reference simulation using default SWAN
settings and to recorded buoy data for two hindcast periods. The most significant change
occurred when the default whitecapping settings were changed. Settings were changed to
reduce dissipation at lower frequencies and increase dissipation at higher frequencies.
Other changes to default settings were found to have a negligible effect. SWAN models used
in Sections 3.2 and 4.2.4 of this report have used the similar settings to the original study.
In addition to locations around Cornwall, analysed in the original study, hourly readings
were produced at 12 locations around the Isles of Scilly over the 23-year hindcast period
from 1st Jan 1989 to 31st Dec 2011. Output parameters included; Hm0, Tm-10, Tm01, the mean
direction, time and date for each sea state. Details and positions of the output locations are
5
shown Table 2.1 and Figure 2.2. Output locations are referred to throughout the report as
‘Hindcast Locations 1-12’, or simply Locations 1-12 were acceptable.
Figure 2-1; Details of the 12 hindcast output locations around the Isles of Scilly
Location Latitude Longitude Depth
1 -6.2490 49.9714 53.5
2 -6.3460 49.8743 60.1
3 -6.4100 49.8563 62.7
4 -6.4640 49.8833 54.6
5 -6.4280 49.9255 56.2
6 -6.4010 49.9507 67.7
7 -6.3730 49.9624 53.7
8 -6.3490 49.9759 50.8
9 -6.4530 49.9561 84.9
10 -6.4170 49.9741 77.7
11 -6.3880 49.9975 78.0
12 -6.3650 50.0110 80
6
Figure 2-2; Maps the location of the 12 hindcast locations
Data outputs were validated against buoy measurements at 7 locations over available time
periods.
Figure 2-3; Details the 7 buoys used for validation. Source; (van Nieuwkoop et al., 2013)
In each comparison three statistical analysis techniques were applied and studied; the
relative bias, the root mean squared error, (RMSE), and the scatter index, (defined as the
7
standard deviation of the difference between modelled and observed data, normalised by
the mean of the observations). Results are shown in Figures 2.4 and 2.5.
Figure 2-4; Validation results from the original hindcast study. Source; (van Nieuwkoop et al., 2013)
Computed values of Hm0 overall were underestimated by a few centimetres. Figure.2.5
shows relatively large negative bias for very steep or long waves and a large positive bias for
small waves less than 1m.
All bias for the calculation of Tm-10 is negative. The smallest bias is found on steep waves and
the largest bias is found for long small waves. The model performs best for medium height
waves between 0.5 and 3m and wave periods between 4 and 10 seconds but tends to
significantly underestimate larger waves.
The relationship between modelled data and observed data from the PRIMaRE wave buoy D
was studied and correction factors for both Hm0 and Tm-10 were calculated using regression
techniques. Figure 2.6 shows the error between modelled and computed data. Hm0 bias is
modelled as a quadratic in order to increase Hm0 for larger waves and reduce Hm0 for smaller
Figure 2-5; Bias between modelled values and observed values from PRIMaRE wave buoy D. (van Nieuwkoop et al., 2013)
8
waves. There is a linear relationship between Tm-10 bias and is therefore modelled as a
constant.
Figure 2-6; Results from regression analysis previously conducted, (van Nieuwkoop et al., 2013)
Table 2-1; Table of proposed correction factors.
Hm0 Correction Factor y = -0.01x2 -0.08x +0.11
Tm-10 Correction Factor y = -1.2
For more information, please refer Appendix A of the original study, (van Nieuwkoop et al.,
2013).
9
3 Data Validation
3.1 Introduction
This section aims to test the validity of the data for use at the 12 hindcast locations around
the Isles and assess the difference between uncorrected and corrected datasets.
3.2 Method
In order to assess the validity, spectral data from a nearby wave buoy has been analysed.
Data is from the 'SW Isles of Scilly WaveNet Site' and has been provided by Cefas, (Cefas,
2016). Data collection commenced on 11th October 2014. The buoy is still operational and
data has been downloaded and analysed until 1st March 2016. The buoy is situated at a
water depth of 90m and is located to the South of the Isles of Scilly at a 49°51'.01N,
6°32'.61W, as shown in Fig.3.1.
Figure 3-1; Shows location of WaveNet buoy and local bathymetry;
10
Spectral data represents the sea state at a given moment of time, i.e. assumes that the sea
state is stationary. The WaveNet spectral data is recorded with a time step of 30 minutes
and shows the period, spectral density, wave direction and wave spread for 13 frequencies
at each time step. Data for a single time step is shown in Table 3.1.
Table 3-1; Spectral data for a single sea state
The power per meter of wave, (W/m), can be calculated using the omni-directional wave
power formulae, (EMEC, 2009):
Where the group velocity can be calculated as;
11
Where k = 2π/ λ and has been calculated using an iterative Matlab script based on the
dispersion relationship;
The significant height and energy period have also been calculated from the moments of the
spectrum, where;
For example, m1 and m-1 can be calculated as;
The significant height and energy period are calculated as;
The power, significant height and energy period were calculated for each sea state within
the available period and analysed for comparison.
In order to compare the power output at the WaveNet site to the corrected and
uncorrected hindcast datasets a SWAN model was set up in order to determine the spatial
relationship between Hindcast Location 4 and the WaveNet site. Location 4 has been chosen
for comparison as its exposed location and geographical proximity to the WaveNet site
suggest conditions should be most similar to the WaveNet site.
The model was run in stationary mode using settings similar to the original hindcast study.
44 different sea states were analysed to approximate the spatial correlation between the
two sites. The sea states modelled are shown in section 4.2.4 Figure 4.2. The hourly
12
occurrence of each sea state is known, (see section 4.2), this was used to calculate the
spatial correlation between Location 4 and the WaveNet buoy site.
Results from the SWAN model show the power per meter of wave is on average 12 percent
greater at the WaveNet site than Hindcast Location 4. The significant height is on average 8
percent greater at the WaveNet site and the energy period is on average 3 percent smaller
as the WaveNet site.
These results were used to adjust the spectral data to match conditions at Location 4. The
mean power per meter of wave for 2015 at the WaveNet site, is 40.67 kW/m. When
adjusted to match conditions at Location 4 the mean power is 36.50 kW/m.
The modified spectral data was then compared to both the corrected and uncorrected
hindcast datasets. Annual and monthly averages of power, significant height and energy
periods have been compared to the spectral data for both the corrected and uncorrected
datasets. Figures 3.3 and 3.4 show the annual means over the hindcast period compared to
the 2015 annual mean calculated from the spectral data. Figures 3.4 to 3.6 show the
minimum, maximum and mean monthly averages of; power output, significant height and
energy period. Monthly means of the spectral data have been plotted for comparison.
13
3.3 Results
3.3.1 Comparison of Spectral Data
The overall annual mean for the uncorrected data is 29 kW/m whilst for the corrected
hindcast data the annual mean is 37.63. Results show that an annual mean power of 36.5
kW/m, calculated from the spectrum, is right at the top of the range for uncorrected data,
however it is close to the mean for the corrected dataset.
Figure 3-3; Compares corrected annual means over hindcast period with spectral data for 2015
Figure 3-2; Compares uncorrected annual means over hindcast period with spectral data for 2015
14
When compared to the uncorrected hindcast dataset, the average power from the spectral
data throughout December is greater than any December over the entire 23-year hindcast
period. When compared to the corrected data, all monthly averages fit within the expected
range.
Figure 3-4; Shows uncorrected and corrected minimum, maximum and average means for each month with spectral data
plotted for comparison
There is little difference between corrected and uncorrected significant heights and the
spectral data fits within the range of both datasets.
Figure 3-5; Shows uncorrected and corrected monthly significant heights with spectral data plotted for comparison
15
When plotted against the energy period for the uncorrected dataset, the spectral data falls
outside the expected range almost every month. Although this is possible, it is unlikely as in
other regions of the UK, 2015 was a normal year (Met Office, 2016b#). The original
validation study showed that the hindcast data consistently underestimates the energy
period, this can also be seen here. However, when hindcast data has been corrected there is
a very strong correlation between the energy periods calculated from the spectrum and the
hindcast energy periods.
Figure 3-6; Shows uncorrected and corrected monthly energy periods with spectral data plotted for comparison
The results from SWRDA, 2004, determined that the average power for exposed locations
around the Isles of Scilly is approximately 38kW/m. This fits extremely well with the spectral
data and the corrected hindcast dataset. However, the uncorrected dataset provides an
average wave power of only 29kW/m, which is well below what is expected.
3.4 Conclusion
Unfortunately, as there is no freely available buoy data in the region that covers the
hindcast period, it is difficult to correlate the dataset. However, based on the spectral data,
validation from the original study and results from the SWRDA assessment, it is clear that
the uncorrected datasets consistently underestimate Tm-10 and underestimate Hm0 for
larger waves. Therefore, the resource assessment will be carried out using only the
corrected hindcast dataset. It is worth noting here that corrected data may still contain
errors and should be used as a guide only and not the final assessment for any WEC
developments.
16
4 Wave Resource
4.1 Intro
This section aims to quantify and analyse the available wave resource and study the
temporal, directional and spatial variation around the Isles.
4.2 Method
Characterization of the wave energy resource is achieved by analysing the corrected 23-year
hindcast dataset. Matlab has been used for all data analysis as it is a powerful tool for
grouping and presenting data in a number of ways. Due to the geographical proximity of a
number of the hindcast locations, full results will not be presented for all locations in the
main body of text, summary tables with all locations included will be shown where
necessary.
4.2.1 Joint OccurrenceTables, Energy Yield and Power Calculations
First data is binned into pairs of Hm0 and Tm-10 representing different sea states. This allows
for all 201,600 hourly data points at each location to be categorized within a defined
number of Hm0 and Tm-10 pairs. Hm0 and Tm-10 were originally binned in 0.5m and 0.5s
intervals respectively. However, the tables created were too large for display and the
intervals have been doubled to 1m and 1s. Joint occurrence tables were then created
showing the number of data points that fall within each bin.
From this it is possible to work out the number of hours each year that each sea state is
likely to occur by calculating the probability of each bin occurring and multiplying 8,760. By
multiplying the hours of occurrence each year by the power available per meter of wave for
each sea state, it is then possible to calculate the average annual energy generated per
meter of wave over a one-year period at each location. Both the hours of occurrence each
year and the energy generated for each sea state are shown in Figures 4.3 to 4.6. Only
locations 1 and 4 will be shown in full in the main body of text as they represent the
minimum and maximum power resource around the Isles, tables for all other locations have
been included in the appendix.
This allows WEC developers to establish whether the wave resource suits their needs and if
their device will be best placed to utilise the available energy yields at a given location.
17
As spectral data is not available at the hindcast locations, the omni-directional power can be
calculated using Hm0 and Tm-10 with the approximation equation 4.1. Cg is calculated as a
function of the Tm-10 and water depth. There can be a slight error with the approximation
equation which can typically underestimate the power resource by 1 -3%, (Robertson et al.,
2016);
(4.1)
The available power per meter of wave for each sea state has been calculated using
equation 4.1, and results are shown in Figure.4.1.
The mean power per meter of wave at each hindcast location was found by calculating the
power for each hourly time step at each location, using equation 4.1, and taking the mean.
Figure 4-1; Power per meter of wave for each sea state
4.2.2 Temporal Variation
In order to assess the feasibility of using wave power to meet the Isles energy demands, it is
important to understand the temporal variations in the available resource. Data has been
analysed on monthly, seasonal and annual time periods. Again, only locations 1 and 4 have
been shown as they represent the minimum and maximum power resource around the
Isles.
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 0.3 0.4 0.6 0.7 0.8 0.9 1.0 1.2 1.3 1.4 1.5 1.7 1.8 1.9
1.5 2.8 3.9 5.0 6.1 7.2 8.3 9.4 10.5 11.6 12.7 13.9 15.0 16.1 17.2
2.5 7.7 10.8 13.9 16.9 20.0 23.1 26.2 29.2 32.3 35.4 38.5 41.6 44.6 47.7
3.5 15.1 21.1 27.2 33.2 39.2 45.3 51.3 57.3 63.4 69.4 75.4 81.5 87.5 93.5
4.5 24.9 34.9 44.9 54.9 64.8 74.8 84.8 94.7 105 115 125 135 145 155
5.5 37.2 52.1 67.0 81.9 96.8 112 127 142 156 171 186 201 216 231
6.5 52.0 72.8 93.6 114 135 156 177 198 218 239 260 281 302 323
7.5 69.3 97.0 125 152 180 208 235 263 291 319 346 374 402 429
8.5 89.0 125 160 196 231 267 302 338 374 409 445 480 516 552
9.5 111 156 200 244 289 333 378 422 467 511 556 600 645 689
10.5 136 190 244 299 353 407 462 516 570 624 679 733 787 842
11.5 163 228 293 358 423 489 554 619 684 749 814 879 944 1010
12.5 192 269 346 423 500 577 654 731 808 885 962 1039 1116 1193
Te (s)Location 1
Mid Bin
Hmo (m)
18
This has been done by studying the following;
 Time series of wave power over the 23-year period.
 Monthly averages over the 23 year hindcast period.
 Minimum, maximum and mean monthly averages throughout the year.
 Variations in the mean annual power.
 Seasonal variations in wave power.
4.2.3 Directional Analysis
The prevailing wave direction is represented using wave roses to show the frequency of
occurrence of waves from all directions. A wave rose for locations 1, 2, 3 and 4 have been
presented in Figure.4.20. Wave roses for all other locations are attached in the Appendix
but have not been shown in the main body of text as they are very similar to location 4.
Wave roses taken from locations around the Isles have been superimposed on a map to
show the directional variation as waves move around the Isles.
Hindcast data has been binned into directional groups of 45 degree intervals to analyse the
variation in wave power from each direction. Joint occurrence tables showing the number of
hours each sea state occurs have been produced for all directional bins at location 4.
Location 4 has been chosen as it the most exposed site and represents waves that have not
been affected by any obstructions.
4.2.4 Spatial Variation
SWAN software has been used to analyse the spatial variation around the Isles. The model
covers the area from 6.5 to 6.1 degrees west and 49.7 to 50.1 degrees north, shown in
Fig.4.22, and uses the bathymetry data shown in Fig.3.1, (Digimaps, 2005). The model
results have been output every 0.005 degrees, approximately every 550 meters, creating an
81 x 81 grid. Results were also recorded at buoy locations for reference. Default settings
have been used except for the adjustments to whitecapping formulae as used in the original
hindcast study.
19
A smaller joint occurrence table was created for Hindcast Location 4, with Tm-10 binned in
two second intervals. The model was run for all 44 sea states that occur at Hindcast Location
4, shown in Fig.4.2. The modelled boundary conditions for each sea state were set so the
significant height and energy period at Hindcast Location 4 were as close to the mid bin
values, shown in Fig.4.2, as possible. This was done through an iterative process making
small changes to input boundary conditions. Wave direction and wave spread input
conditions were found by taking the mean values for all data points within bin ranges.
Figure 4-2; Condensed table showing hours occurrence each year of each sea state at location 4
The significant height and energy period were recorded at each output location. This was
then used to calculate the power at each location for each sea state. As the results were
also recorded at buoy locations the number of hours each sea state occurred is known. I.e. if
the results at location 4 showed a significant height of 3.5m and an energy period of 10
seconds, by referencing the joint occurrence table it is shown how many hours each year
that sea state occurs.
This method serves as an approximation only as positive and negative bias within each bin is
unaccounted for.
The mean power at each grid point was then plotted to create a thematic map showing the
spatial variation across the Isles.
Mid Bin 2 4 6 8 10 12 14 16
0.5 1 269 415 106 1 0 0 0
1.5 0 81 1821 1280 227 7 0 0
2.5 0 0 302 1308 527 76 1 0
3.5 0 0 0 559 478 103 4 0
4.5 0 0 0 113 418 97 8 0
5.5 0 0 0 1 224 79 8 0
6.5 0 0 0 0 71 71 5 0
7.5 0 0 0 0 6 51 5 0
8.5 0 0 0 0 0 22 2 0
9.5 0 0 0 0 0 5 2 0
10.5 0 0 0 0 0 1 1 0
11.5 0 0 0 0 0 0 1 0
12.5 0 0 0 0 0 0 0 0
Te (s)
Hmo (m)
20
4.2.5 Spectral Analysis
The spectral data from the WaveNet buoy has been used to analyse the sea states around
the Isles. All sea states have been binned into Hm0 and Tm-10 pairs and the mean spectrum for
each sea state has been plotted with frequency on the x-axis and energy density on the y-
axis. This shows the occurrence of swell and wind waves. As there is only a limited amount
of spectral data, not all sea states have been plotted. Only sea states which occur over 100
times have been plotted to ensure the mean is representative. As only the mean values
have been plotted the full variety of sea states is not shown.
The spectral data has also been binned by direction to analyse the variety the waves that
approach from various directions. As individual sea states are made up of waves from a
variety of directions, data has been plotted as a scatter diagram of frequency against
spectral density.
21
4.3 Results
4.3.1 Joint OccurrenceTables and AnnualEnergy Yield
Location 1
Location 1 is the most sheltered of the 12 hindcast locations, with significant heights only
exceeding 2.5m for 2% of the year, and never exceeding 6m over the 23 year hindcast
period. The most commonly occurring sea states are between 0-1m and 4-6s. However, the
majority energy available throughout the year occurs from sea states between 1-3meters
and 5-10seconds.
The total energy available per meter of wave each year is on average 60.5MWh
Figure 4-3; Hours occurrence each year of each sea state at location 1
Figure 4-4; Annual energy generated per meter of wave for each sea state at location 1
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 7 252 1,213 1,412 838 292 80 24 8 2 0 0 0 0
1.5 0 0 118 988 1,141 859 399 137 33 10 1 0 0 0
2.5 0 0 0 4 199 213 188 114 37 6 1 0 0 0
3.5 0 0 0 0 0 46 40 42 19 7 1 0 0 0
4.5 0 0 0 0 0 0 15 8 5 1 0 0 0 0
5.5 0 0 0 0 0 0 0 1 0 1 0 0 0 0
6.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Location 1
Mid Bin
Hmo (m)
Te (s)
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 2 109 672 956 671 269 84 27 11 2 0 0 0 0
1.5 0 1 587 6,024 8,215 7,141 3,759 1,437 382 132 13 0 0 0
2.5 0 0 0 71 3,975 4,918 4,909 3,324 1,198 212 32 0 0 0
3.5 0 0 0 0 15 2,068 2,028 2,396 1,211 458 43 0 0 0
4.5 0 0 0 0 0 20 1,234 790 519 159 0 0 0 0
5.5 0 0 0 0 0 0 0 178 41 171 32 0 0 0
6.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Hmo (m)
Te (s)Location 1
Mid Bin
22
Location 4
Location 4 is subject to larger waves, the most commonly occurring waves are between 1-2
meters and 6-7 seconds. Larger waves often hit location 4, with Hm0 exceeding 10m for a
few hours each year on average. Due to the larger waves present, a large proportion of the
available energy per meter occurs during more aggressive sea states.
Figure 4-5; Hours occurrence each year of each sea state at location 4
Figure 4-6; Annual energy generated per meter of wave for each sea state at location 4
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 1 49 220 224 190 90 16 1 0 0 0 0 0 0
1.5 0 0 81 694 1,127 809 470 180 47 7 1 0 0 0
2.5 0 0 0 1 301 734 573 344 183 65 11 1 0 0
3.5 0 0 0 0 0 136 423 312 166 80 23 3 1 0
4.5 0 0 0 0 0 0 113 276 142 72 25 6 2 0
5.5 0 0 0 0 0 0 1 89 135 60 19 7 1 0
6.5 0 0 0 0 0 0 0 4 68 57 13 5 1 0
7.5 0 0 0 0 0 0 0 0 6 39 12 5 1 0
8.5 0 0 0 0 0 0 0 0 0 10 12 2 0 0
9.5 0 0 0 0 0 0 0 0 0 0 4 2 0 0
10.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 1 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Location 4
Mid Bin
Hmo (m)
Te (s)
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 0 21 122 152 152 83 17 2 0 0 0 0 0 0
1.5 0 0 405 4,228 8,120 6,726 4,430 1,898 545 83 11 0 0 0
2.5 0 0 0 18 6,030 16,954 14,997 10,072 5,904 2,298 420 29 0 0
3.5 0 0 0 0 12 6,146 21,716 17,900 10,529 5,532 1,750 227 65 0
4.5 0 0 0 0 0 13 9,603 26,131 14,875 8,283 3,088 819 320 0
5.5 0 0 0 0 0 0 143 12,608 21,181 10,259 3,577 1,311 291 0
6.5 0 0 0 0 0 0 0 722 14,782 13,695 3,504 1,379 170 0
7.5 0 0 0 0 0 0 0 0 1,795 12,390 4,274 1,690 244 75
8.5 0 0 0 0 0 0 0 0 49 4,196 5,180 1,044 90 0
9.5 0 0 0 0 0 0 0 0 0 222 2,414 939 0 0
10.5 0 0 0 0 0 0 0 0 0 0 649 956 0 0
11.5 0 0 0 0 0 0 0 0 0 0 283 802 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 181 0 0
Hmo (m)
Te (s)Location 4
Mid Bin
23
Summary Information
The wave resource around the Isles varies considerably. The west of the Isles is exposed to
many more extreme conditions, whilst Location 1 on the east rarely sees severe conditions.
Although only locations 1 and 4 have been shown in full, the other locations experience
conditions somewhere in between.
Table 4-1; Summary statistics for all location
Location Mean Power
(kW/m)
Mean Hm0
(m)
Mean Tm-10
(s)
Annual Energy
Yield
(MWh/m)
1 6.7 1.18 6.33 60.5
2 10.7 1.32 6.69 96.1
3 30.9 2.26 7.90 273.9
4 37.5 2.44 7.96 331.8
5 31.5 2.26 7.84 279.4
6 31.7 2.24 7.94 280.7
7 21.1 1.80 7.90 188.1
8 23.6 1.94 7.85 209.7
9 36.6 2.41 7.91 324.2
10 34.7 2.35 7.89 308.1
11 34.0 2.35 7.84 301.6
12 33.4 2.35 7.78 295.6
4.3.2 Temporal Variation
Time Series of WavePower
The time series at both locations highlights the variability in the wave resource. Fluctuations
can vary from 0 to over 30 times the mean power. Location 4 regularly experiences peaks of
over 500 kW/m and on one occasion the power per meter of wave reached over 1000kW.
Whilst location 1 does not experience the same extreme conditions fluctuations are as large
proportionally.
24
Figure 4-7; Time series of power at location 1
Figure 4-8; Time series of power at location 4
25
Monthly AveragesthroughouttheHindcastPeriod
Monthly averages have been plotted in order to smooth the extreme fluctuations presented
in the time series. However, monthly power averages still fluctuate from 2kW/m to 23kW/m
at location 1 and 4kW/m to almost 200kW/m at location 4.
Figure 4-9; Monthly averages over hindcast period at location 1
Figure 4-10; Monthly averages over hindcast period at location 4
26
Variation of Monthly Averages
Powerper Meter of Wave
Fig.4.11 highlights the monthly variation of the wave resource. At location 4 the monthly
mean in July is on average 10.7kW/m, almost 8 times lower than the 82.7kW/m mean in
January. Some years there is a factor of 10 difference between summer months and winter
months.
Figure 4-11; Minimum, maximum and mean monthly average power per meter of wave
SignificantHeight
The monthly variation in significant height follows a similar pattern to the monthly variation
in power. However, as power is proportional to Hm0
2, the fluctuations are less extreme. The
mean significant height in July is half the size of January.
Figure 4-12; Minimum, maximum and mean monthly average significant height
27
Energy Period
The energy period varies less drastically than the power per meter of wave and significant
height. However, there is a clear reduction of approximately 20% throughout the year.
Figure 4-13; Minimum, maximum and mean monthly average energy periods
AnnualVariation
As well as monthly variations, there is also a large annual variation in the wave resource.
Mean power can vary significantly from one year to the next. At location 4 the annual mean
power varies from 23kW/m to 48kW/m.
Figure 4-14; Annual mean power over hindcast period
28
4.3.2.1 Seasonal Variation
Comparison of winter months, (October to March), and summer months, (April to
September), further shows temporal variation.
Figure 4-15; Seasonal variation at location 1
Figure 4-16; Seasonal variation at location 14
29
4.3.3 Directional Analysis
The wave roses presented in Fig.4.20 show that the prevailing wave direction is due west. At
location 4, 79% of waves approach the Isles from in between 225 to 315 degrees. The Isles
act as a barrier causing diffraction to occur as the waves wrap around the Isles, as shown by
Fig.4.21. The joint occurrence tables show that no large waves propagate from between 0-
180 degrees.
Figure 4-17; Hourly occurrence of sea states from 0-180 degrees
30
Figure 4-18; Hour occurrence table of sea states between 180-360 degrees
Mid Bin 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5
0.5 0 0 4 13 5 0 0 0 0 0
1.5 0 0 2 53 67 29 4 0 0 0
2.5 0 0 0 0 36 37 17 3 0 0
3.5 0 0 0 0 0 12 19 5 0 0
4.5 0 0 0 0 0 0 11 4 0 0
5.5 0 0 0 0 0 0 0 3 1 0
6.5 0 0 0 0 0 0 0 0 1 0
7.5 0 0 0 0 0 0 0 0 0 0
180-225 Degrees
Hmo (m)
Te (s)
Mid Bin 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 0 0 6 33 63 37 8 0 0 0 0 0 0 0
1.5 0 0 5 146 384 332 196 67 25 3 0 0 0 0
2.5 0 0 0 0 115 367 311 180 74 25 4 0 0 0
3.5 0 0 0 0 0 76 254 185 104 43 7 0 0 0
4.5 0 0 0 0 0 0 64 178 94 43 16 4 1 0
5.5 0 0 0 0 0 0 1 62 92 41 10 5 1 0
6.5 0 0 0 0 0 0 0 3 44 38 7 3 1 0
7.5 0 0 0 0 0 0 0 0 5 24 9 3 1 0
8.5 0 0 0 0 0 0 0 0 0 7 8 1 0 0
9.5 0 0 0 0 0 0 0 0 0 0 3 1 0 0
10.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
225-270 Degrees
Hmo (m)
Te (s)
Mid Bin 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5
0.5 0 0 13 62 99 52 9 1 0 0 0 0 0
1.5 0 0 5 141 369 365 262 113 22 3 1 0 0
2.5 0 0 0 0 69 228 215 160 108 40 7 0 0
3.5 0 0 0 0 0 36 121 117 61 36 16 3 1
4.5 0 0 0 0 0 0 28 87 47 29 9 2 1
5.5 0 0 0 0 0 0 0 21 42 18 9 2 0
6.5 0 0 0 0 0 0 0 0 22 19 6 1 0
7.5 0 0 0 0 0 0 0 0 1 14 4 2 0
8.5 0 0 0 0 0 0 0 0 0 4 4 1 0
9.5 0 0 0 0 0 0 0 0 0 0 1 0 0
10.5 0 0 0 0 0 0 0 0 0 0 0 1 0
11.5 0 0 0 0 0 0 0 0 0 0 0 1 0
270-315 Degrees
Hmo (m)
Te (s)
Mid Bin 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5
0.5 0 0 23 57 18 0 0 0 0 0
1.5 0 0 4 119 174 63 8 0 0 0
2.5 0 0 0 0 39 68 24 2 0 0
3.5 0 0 0 0 0 9 23 4 1 0
4.5 0 0 0 0 0 0 8 7 1 0
5.5 0 0 0 0 0 0 0 2 1 0
6.5 0 0 0 0 0 0 0 0 1 0
Hmo (m)
315-360 Degrees Te (s)
31
Table 4. Shows that the most powerful waves come from between 225 to 250 degrees,
these waves have travelled directly across the Atlantic and can bring powerful storms and
large swell waves.
Table 4-2; Summary table of power by direction
32
WaveRose
Wave roses for all locations except locations 1 and 2 show that the prevailing wave direction
is due west.
Figure 4-19; Wave rose for locations 1-4
33
Figure 4-20; Map with wave roses superimposed
34
4.3.4 Spatial Variation
The results from the SWAN model have been plotted in Fig.4.22. The mean power increases
to the west of the Isles as the water depth increases. There is little variation between
locations 4 to 12, except locations 7 and 8 which are closer to land.
Figure 4-21; Spatial variation of mean power
35
4.3.5 Spectral Analysis
The peak frequency for the smallest waves is over 0.2 Hz, showing that these smaller waves
are wind driven waves. Whilst the larger, more powerful waves with a frequency of 0.1Hz
and below are swell driven waves.
Figure 4-22; Spectral data plotted for each Hm0 and Tm-10 pair
36
The most energetic frequencies for waves coming from between 0-180 degrees is close to
0.2Hz. For waves approaching from 180-360 degrees the most energetic frequencies are
closer to 0.1Hz and for waves between 225-315degrees the most energetic frequencies are
below 0.1Hz.
Figure 4-23; Spectral data plotted by direction
37
4.4 Conclusion
There is a large temporal variation of the available wave power resource around the Isles.
There can be a factor of 10 difference in the average power per month within the same
year.
Locations 1 and 4 represent the maximum and minimum wave resources with all other
locations experiencing conditions in between. The majority of waves approach the Isles
from the west, with the largest waves approaching from between 225-270 degrees.
Therefore, the south-west of the Isles has the largest wave power resource and experiences
the most extreme wave conditions. Waves with a significant of up to 20m may occur within
a 100-year period. To the east of the Isles remains sheltered and has a relatively small wave
power resource.
Spectral analysis confirms that any waves approaching from between 0-180 degrees are
small wind waves. Whilst waves approaching from 180-360 are predominantly swell waves
with the most energetic waves approaching from 225-315 degrees. This supports the
hindcast data.
38
5 Extreme Wave Analysis
5.1 Intro
Modelling extreme wave conditions is vital for the design and operation of WEC’s. Any
devices and moorings should be designed to withstand the most severe conditions. This
section aims to quantify the most extreme waves that may occur in each location within a
100-year period and analyse the frequency and severity of storm conditions.
5.2 Method
5.2.1 Extreme Value Analysis and the
100-Year Wave
A number of methods and techniques exist for
the statistical analysis of extreme values within
a dataset. Extreme value distributions can be
used to analyse the tail of a parent distribution.
In this instance the parent distribution is the
significant heights at hindcast locations. The
distribution of significant heights at location 4,
with a mean of 2.44 and standard deviation of 1.42, has been plotted.
There are two main methods for characterising and extracting extreme values. The first is
the block maxima approach. This approach takes the length of study, and divides into
equally spaced blocks and extracts the maximum values from each block. The block maxima
are then fitted to their own distribution. The second approach, which tends to be the more
popular approach, is the Peaks over Threshold, (POT), method. A threshold is set, and all
data points above the threshold are extracted and can also be characterised by their own
distribution.
Each approach has a specific distribution that can be used to characterise how the data
would converge. The block maxima technique fits the generalised extreme value, (GEV),
distribution. Whilst the POT technique should be used with the generalised Pareto
distribution, (GPD), (Rootzen and Tajvidi, 2006). Due to the large temporal variation and
Figure 5-1; Frequency distribution of significant heights at location
4
39
limited data collected by the block maxima approach, the POT method fitted with the GPD
has been used.
There are a number of methods for estimating the unknown parameters of extreme value
distributions. The most commonly used are: probability weighted moments, (e.g. Hosking et
al. 1985), maximum likelihood, (e.g. Coles, 2001), and Bayesian methods, (Coles, 2001 and
Cooley et al. 2007). Due to the software used for analysis the probability weighted moments
methods has been used.
For more detail into the general methodology of statistical extreme value analysis the
following texts are of use; Coles, 2001, Beirlant et al. 2004, Hann and Ferreira, 2006.
Extreme wave analysis was conducted for all locations. However, only locations 1 and 4 are
shown in the main text, as they represent the most sheltered and exposed sites around the
Isles. All significant heights above a threshold were extracted from the hindcast data set and
modelled as an independent distribution. Data points were extracted so that two values
were never taken within the same 48-hour period, this allowed for each data point to
represent independent storms and stops particularly violent storms from dominating
results. The threshold hold was set using the WAFO toolbox, based on the dispersion index,
(variance to mean ratio), and mean residual life, (mean exceedance over threshold). WAFO
ensures that there is enough data for the extreme values to be fitted to the GPD, but not
too many that the tail of the new distribution again creates uncertainty. The thresholds for
Hindcast Locations 1 and 4 were 4.05m and 7.2m respectively.
The software was used to calculate the extreme significant heights that may occur at each
location within a 100-year period, with a 95% confidence bound, known as the 100-year
wave.
5.2.2 StormAnalysis
As well as using the WAFO toolbox, extreme conditions that occur over the 23-year hindcast
period have analysed. The number of 48 hour periods where wave conditions exceeded 100
kW/m and Hm0 exceeded 5m at locations 1 and 4 have been calculated and the most
extreme sea states that occur each year at locations 1 and 4 have been plotted. A summary
40
table of most powerful waves experienced at each location over the 23 year hindcast period
has also been produced.
The spatial variation around the Isles during storm conditions has also been plotted using
SWAN software. All sea states at Hindcast Location 4 with a power per meter of wave over
300 kW have been grouped together and studied to find the mean direction, energy period
and significant height. Hindcast Location 4 has again been used as its exposed location
means that it is subject to the largest storms and greatest significant heights. This data has
been used as the input for a SWAN model. The model covers, and is set up as in section 4.24
with different input parameters. Model results have then been plotted to highlight areas
that are significantly influenced by extreme wave conditions.
5.3 Results
5.3.1 100-Year Wave
Figures 5.2 and 5.3 show the results from the WAFO analysis. Data is summarised in
Table.5.1. As a general rule, the maximum height of a wave is approximately twice as high as
Hm0, (NOAA, 2016). Therefore, at Hindcast Location 4, observed heights of 30-40m may
occur within a 100-year time frame. This should be considered for in the design of any WEC
and mooring systems. However, the 95% confidence bounds show the increasing
uncertainty of predicting of predicting wave heights for larger return periods.
On the other hand, Hindcast Location 1 is subject to far less extreme conditions. Over a 100-
year period significant heights of 8m may occur. This equates to a Hmax of approximately
16m, less than halve the 100-year Hmax at Hindcast Location 4. This shows the variability
around the Isles and indicates the sheltered environment to the east of the Isles.
41
Figure 5-2; Extreme significant heights with 95% confidence bounds at location 1
Figure 5-3; Extreme significant heights with 95% confidence bounds at location 4
42
5.3.2 StormAnalysis
Over the 23-year hindcast period, the power per meter wave at Location 4 exceeds 100kW
for 760 48-hour periods, whilst for 565 of those Hm0 is greater than 5m. This suggests that
on average there are nearly 26 isolated occasions each year of violent conditions with Hmax
exceeding 10m. At location 1 there is only 21 occasions over the hindcast period where
conditions exceeded 100kW/m. Of those only 7 had a significant height of over 5m.
Fig.5.4 shows the most powerful sea states that occur each year over the hindcast period at
Locations 1 and 4. The most powerful sea state experienced at Location 1 was 197 kW/m, at
Location 4 a sea state of 1040 kW/m was recorded in December 1989.
Figure 5-4; Most energetic sea states recorded each year throughout the hindcast period
Fig.5.5 shows the largest value of Hm0 recorded each year. Most years at Location 4 Hm0
reaches over 8m, this is similar to the worst case predicted 100-year wave at Location 1.
43
Figure 5-5; Largest significant heights recorded each year throughout the hindcast period
Table 5-1; Summary table of extreme conditions experienced at all locations
Hindcast Location Maximum Power
Recorded Over
Hindcast Period
(kW/m)
Maximum Significant
Height Recorded
Over Hindcast Period
(m)
Significant Height
of 1 in 100 Year
Wave (m)
1 196 5.91 8.0
2 640 9.90 17.1
3 840 11.4 18.4
4 1040 12.5 19.8
5 795 11.0 18.5
6 805 11.0 18.7
7 636 9.80 14.9
8 653 10.0 16.3
9 901 11.7 17.2
10 870 11.5 18.1
11 855 11.4 19.5
12 840 11.3 18.6
44
5.3.3 Spatial Variation during Storm Conditions
There are 1792 hourly readings with a power density of over 300kW/m. The mean direction
of these powerful waves is 253 degrees with an average Hm0 of 7.13m and an average Tm-10
of 11.84s. Boundary conditions for the SWAN model have been found through an iterative
process and set so these parameters are present at Location 4. Fig.5.6 shows the spatial
variation in power during storm conditions around the Isles.
Figure 5-6; Spatial variation during extreme conditions
The most powerful waves come from between 2225-270 degrees, as shown in Table 4.2,
therefore it is generally the South-West of the Isles that is most heavily effected from severe
conditions.
45
5.4 Conclusion
The North and North-East of Isles are slightly sheltered during severe conditions. To the East
of the Isles remains protected throughout intense storms.
The 100-year wave at Location 1 is smaller than waves that regularly occur at Location 4,
again showing the variability around the Isles. Waves with in an observed height, (Hmax), may
reach 30-40m at exposed locations.
Any wave energy devices installed in the more energetic areas will have to withstand huge
forces and waves over 1MW/m.
46
6 Local Constraints
6.1 Introduction
As well as simply considering the wave climate around the Isles, it is necessary to study
possible local constraints and influences that may affect the installation of WEC’s. This
section aims to look at local grid and infrastructure constraints, as well as briefly exploring
the environmental constraints presented from such a biologically diverse area. Data has
been collected from the following sources;
Table 6-1; Local constraint data sources
Data Type Source
1:50,000 and 1:250,000 Rasta OS Maps DigiMaps, (DigiMaps, 2005)
Bathymetry Data DigiMaps, (DigiMaps, 2005)
Geological Survey DigiMaps, (DigiMaps, 2005)
GIS Cultural/Historic Designations Historic England
GIS Environmental Constraints and
Designation Boundaries
Natural England
Available Substation Capacity WPD, Generation Capacity Map, (WPD,
2016)
6.2 Constraints
6.2.1 Infrastructureand Grid constraints
Large projects may be influenced by the ability to secure a grid connection. St Mary’s,
Tresco and St Martins are on a shared distribution network loop, allowing supply to be back-
fed if there is an issue with the supply cables. Bryher and St Agnes are on spurs from this
loop, and the lack of opportunity to back feed has required the two local back up power
stations. (Isles of Scilly Council, 2014).
Substations on the Islands of St Martins, and Tresco, have limited available capacity of
between 300-450kW, as shown by the Generation Capacity Map provided by WPD.
Substations on the Island of St Agnus have an available capacity of up to 1MW, however, as
St Agnus and Bryher are on spurs from the main distribution network it is likely that any
developments connected on these Islands will require infrastructure upgrades. Substations
on the larger island of St Mary’s have an available capacity of up to 5MW. This may impact
47
on the location of future WEC’, as upgrading infrastructure or installing long subsea cables
can add significant costs to projects.
Figure 6-1; Available substation capacity on Bryher and St Martins
As aforementioned, the subsea cable can be
used to back-feed 4MW to the mainland if
required. This rarely occurs and at the
moment this would primarily be from the
5.7MW power station on St Mary’s, during
times of blackout. However, this does
represent an opportunity for any renewable
energy developments. The cable is due to
be replaced and it is unknown the size and
capacity of any future installation. However,
the Isles may consider increasing the
capacity to back-feed as this will limit the capacity of developments for the duration of the
25-50year lifetime of the new cable, estimated replacement costs of £25million mean there
is little opportunity to upgrade at a later date.
Figure 6-2; Available substation capacity at St Mary's
48
6.3 Environmental Impact
Wave energy conversion projects may conflict with existing ocean uses or strategies for
protecting marine species and habitats’, (Kim et al. 2012). Before any projects can
commence it is first essential to assess any impacts on the natural environment and
surrounding areas. These impacts will be considered in three categories; physical, biological
and social impacts.
6.3.1 Physical
This section refers to any changes that may occur to the physical landscape such as
sedimentary movement. The Isles and surrounding offshore area are composed of granite
rock that dates back 300 million years. The granite bedrock has created a unique
environment and a number of ‘Rocky Reefs’.
Figure 6-3; Geological survey
6.3.2 Biological
The waters surrounding the Isles are a biologically diverse ecosystem of European and
international importance. The whole of the Isles have been a designated Special Area of
Conservation since 2000, in compliance with the EC Habitats Directive. The main reason for
the designation is the presence of Annex 1 habitats, including a number of ‘Rocky Reefs’,
(Natural England, 2013). As well as the entire region being an SAC, there are a number of
individual Marine Conservations Zones, (MCZ’s). The maps below highlight the marine
49
designations and areas with a high concentration of marine species and habitats. A thematic
map showing the mean annual power has been superimposed to show the location of
marine designations in relation to the available power resource. Unfortunately as the
projection systems used differ between the OS map, (National Grid coordinate system), and
the thematic map, (degrees latitude and longitude), the combined image has been slightly
squashed.
Figure 6-4; Marine designation and marine species and habitat concentrations
50
Figure 6-5; Mean annual power and marine designations
6.3.3 Social
In addition to the diverse marine habitats and species the Isles are a designated Area of
Natural Beauty, Conservation Area, and the entire coastline is designated Heritage Coast.
The Isles of Scilly have the highest density of scheduled monuments, (238 monuments with
over 900 archaeological sites), in the UK and numerous protected ship wreck sites.
The Isles rely heavily on tourism throughout the year, accounting for 83% of the economy
with over 100,000 visitors per annum. It is therefore essential that any developments do not
impinge on tourist hotspots or take away from the natural beauty that tourists expect.
51
7 Conclusion
The Isles of Scilly experience the most energetic sea-states in the south-west. The annual
average power reaches nearly 38kW/m to the South West of the Isles. However, there is a
large temporal and spatial variation around the Isles. Some years the mean power during
summer months can be a factor of 10 less than during winter months and to the east of Isles
annual average power can be as low as 3-5kW/m.
Although there is an abundant wave power resource around the Isles of Scilly, the unique
character, isolation and biodiversity of the area creates some problems for the installation
of WEC’s. Locations 5 to 12 are situated in less biologically diverse waters outside of any
conservation zones. However, improvements are required to the existing infrastructure with
limited available capacity on the smaller Islands. The granite bedrock means unique mooring
solutions will be required, consisting of rock bolts or piled foundations. The nature of the
Isles means that any developments will be heavily scrutinised and the environmental impact
will rigorously assessed. This has been proven by the slow consent process for the wave
energy project proposed by 40 South Energy in 2013.
The temporal variation suggests that wave power alone will not be sufficient to meet all of
the Isles electricity demand. To cover peak demand of 4.5MW in the summer months would
require huge developments that would produce 45-50MW during the winter months, unless
large energy storage techniques were applied. Currently the subsea cable can back-feed
4MW to the mainland, this limits generation capacity as surplus generation will be unable to
be exported during times of low demand on the Isles.
Many locations will require the upgrade of insisting infrastructure. Small developments
could be spread around the Isles in order to connect to multiple substations. However, as
Bryher and St Agnes are on spurs from the main distribution network, upgrades to the
network would be necessary in order to back-feed electricity to the other Islands and to the
mainland.
The most energetic sea states approach the Isles from between 225-270 degrees. To the
north and north-by-north-east of the Isles remain slightly sheltered during extreme
conditions. However, mean power is not significantly reduced.
52
It is difficult to define ideal locations for WEC’s as there is a wide variety of different wave
energy devices, with the industry yet to consolidate on a single design. Different designs and
operating principles generally perform better in different conditions. The wide variety of
conditions around the Isles will be able to provide a suitable environment for all types.
Although less power is available near location 1, the sheltered area may be attractive to
some developers.
53
8 Discussion and Limitations
Unfortunately limited buoy data around the region creates uncertainty during validation.
The corrected hindcast dataset was used as analysis showed results were representative of
conditions typically experienced throughout the region. However, as no data within the
region is freely available that covers the hindcast period, it is difficult to ascertain complete
confidence.
Corrected data still contains error. As figure 2.6 shows, the correction factor is based on the
best fit between modelled and observed data. Therefore, individual corrected data values
still have bias but it is assumed that the positive and negative bias cancel over the total
dataset. The errors obtained from the hindcast study are likely due to the coarse resolution
of the ECMWF wave boundary and wind input. Hindcast datasets should not be used as a
final resource assessment but as an overview of the variation of conditions throughout the
modelled region.
The correction factors were calculated using simple regression techniques, and more
sophisticated techniques could be applied in the future. However, it was deemed
appropriate to only display results based on the corrected dataset. Is was considered to
display both corrected and uncorrected results, however, this created confusion and the
report lost clarity.
When modelling extreme wave conditions, removing bias from the dataset does not
necessarily remove bias from extreme wave conditions.
The quality of the thematic maps showing the spatial variation around the Isles are of a poor
resolution and quality. This is largely due to the processing power of the computer used and
the inability to deal with high resolution models and outputs.
Although there are certain limitations the report does provide a detailed study into the
wave resource around the Isles of Scilly. No project previously has assessed the resource in
this depth.
54
9 References
40 SouthEnergy,(2016). ScillyAirportWEP| 40South Energy
Beirlant,J.(2004). Statisticsof extremes.Hoboken,NJ:Wiley.
Brodtkorb,P.,Johannesson,P.,Lindgren,G.,Rychlik,I.,Rydén,J.andSjö,E. (2000). WAFO - a Matlab
toolbox foranalysisof randomwavesandloads".Proceedingsof the 10th International Offshore and
PolarEngineeringconference,Seattle,.2nded.Vol III,pp.343-350.
Cefas,(2016). SW Islesof ScillyWaveNetSite;11 October2014 to 01 April 2018; Cefas - WaveNet.
CIOSLEP,(2014). Cornwall andIslesof ScillyLocal Enterprise Partnership.Islesof Scilly:Evidence
Base.
Coles,S.(2001). An IntroductiontoStatistical Modelingof Extreme Values|StuartColes|Springer.
Cooley,D.,Nychka,D.and Naveau,P.(2007). BayesianSpatial Modelingof Extreme Precipitation
ReturnLevels.Journal of the AmericanStatistical Association,102(479), pp.824-840.
EMEC, (2016). Assessmentof WaveEnergy Resource.Firstpublishedinthe UKinby BSI.
Haan, L. and Ferreira,A.(2006). Extreme value theory.New York:Springer.
Hasselmannetal,,S.(1988). The WAM model - A third generationoceanwave predictionmodel.
Journal of Physical Oceanography,18,pp.1775-1810.
Hosking,J.,Wallis,J.andWood,E. (1985). Estimationof the GeneralizedExtreme-Value Distribution
by the Methodof Probability-WeightedMoments.Technometrics,27(3),pp.251-261.
Islesof ScillyCouncil,(2014).Infrastructure Plan;Partof the strategicplanfor the Islesof ScillyMay
2014.
Islesof ScillyCouncil,(2007). A Sustainable EnergyStratergy;PlanningandDevelopment..
(Kimetal.2012) Kim,C.,Toft,J. Catchingthe Right Wave:EvaluatingWave EnergyResourcesand
Potential CompatibilitywithExistingMarine andCoastal Uses.PLoSONE,7(11), p.e47598.
Met Office,(2016). StormImogen.[online] MetOffice.Available at:
http://www.metoffice.gov.uk/uk-storm-centre/storm-imogen[Accessed25Apr. 2016].
Met Office,(2016)a. Ocean Waves.[online] MetOffice.Available at:
http://www.metoffice.gov.uk/research/areas/ocean-forecasting/ocean-waves[Accessed25Apr.
2016].
55
Natural England,(2013). Offshore monitoringof Annex Ireef habitatpresentwithinthe Islesof Scilly
Special Areaof Conservation(SAC).ISBN 978-1-78354-036-5.
Nieuwkopp-McCall,J.,Smith,H.,Smith,P.andJohanning,L.(2016). Long-termhindcastforWave
Hub, Cornwall.Validationandanalysisof modelledresults.Universityof ExeterMarch2012. [online]
Available at:
http://www.wavehub.co.uk/downloads/Resource_Info/Long_term_hindcast_for_Wave_Hub_Univer
sity_of_Exeter_2012.pdf [Accessed23Apr. 2016].
NOAA,(2016). National OceanicandAtmosphericAdministration,SignificantWave Height.
Ris,R., Holthuijsen,L.andBooij,N.(1994). A SPECTRAL MODEL FOR WAVESIN THE NEARSHORE
ZONE.DelftUniversityof Technology,Departmentof Civil Engineering.
Robertson,B.,Bailey,H.,Clancy,D.,Ortiz,J.and Buckham, B. (2016). Influenceof wave resource
assessmentmethodologyonwave energyproductionestimates.Renewable Energy,86,pp.1145-
1160.
Rootzen,H.and Tajvidi,N.(2006). Multivariate generalizedParetodistributions.Bernoulli,[online]
12(5), pp.917-930. Available at:https://projecteuclid.org/euclid.bj/1161614952 [Accessed21Apr.
2016].
Sanil Kumar,V.and Anoop,T.(2015). Wave energyresource assessmentforthe Indian shelf seas.
RenewableEnergy,76,pp.212-219.
Sterl,A.,Komen,G.and Cotton,P.(1998). Fifteenyearsof global wave hindcastsusingwindsfrom
the EuropeanCentre forMedium-Range WeatherForecastsreanalysis:Validatingthe reanalyzed
windsandassessingthe wave climate.J.Geophys.Res.,103(C3),pp.5477-5492.
SWRDA,(2004). SouthWestof EnglandRegional DevelopmentAgency.Resources,Constraintsand
DevelopmentScenariosforWave andTidal StreamPowerinthe SouthWest of England.
Tucker,M. and Pitt,E. (2001). Wavesin oceanengineering,,Elsevier,(Appendix 1).
van Nieuwkoop,J.,Smith,H.,Smith,G.andJohanning,L.(2013). Wave resource assessmentalong
the Cornishcoast (UK) froma 23-yearhindcastdatasetvalidatedagainstbuoymeasurements.
RenewableEnergy,58,pp.1-14.
van Vledder,G.,Goda,Y., Hawkes,P.,Mansard,E., Martin, M., Mathiesen,M.,Peltier,E.and
Thompson,E.(1994). Case Studiesof Extreme Wave Analysis:A Comparative Analysis.ASCE,[online]
pp.978-992. Available at:http://cedb.asce.org/CEDBsearch/record.jsp?dockey=87369 [Accessed23
Apr.2016].
56
10 Appendix
10.1 Joint Occurrence Tables and Annual Yield
Hourlyoccurrence table andenergyyieldsforall locationsnotshowninthe mainbodyof text.For
each locationthe hourlyoccurrence table isshownfirstfollowedbythe annual energyyieldforeach
seastate.
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 121 501 944 1,083 780 358 133 49 8 2 0 0 0 0
1.5 0 0 32 540 967 826 461 182 62 12 2 0 0 0
2.5 0 0 0 1 137 361 335 199 89 23 3 1 0 0
3.5 0 0 0 0 0 41 149 121 69 21 2 0 0 0
4.5 0 0 0 0 0 0 18 48 32 17 2 0 0 0
5.5 0 0 0 0 0 0 0 8 11 5 1 0 0 0
6.5 0 0 0 0 0 0 0 0 2 3 0 0 0 0
7.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Location 2
Mid Bin
Hmo (m)
Te (s)
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 37 216 523 733 624 331 139 57 10 3 0 0 0 0
1.5 0 0 158 3,289 6,963 6,862 4,340 1,920 725 151 27 1 0 0
2.5 0 0 0 16 2,734 8,325 8,777 5,811 2,874 823 120 25 0 0
3.5 0 0 0 0 2 1,862 7,626 6,919 4,341 1,432 128 25 0 0
4.5 0 0 0 0 0 10 1,532 4,558 3,335 1,939 238 0 0 0
5.5 0 0 0 0 0 0 61 1,076 1,747 841 105 0 0 0
6.5 0 0 0 0 0 0 0 17 541 686 34 0 0 0
7.5 0 0 0 0 0 0 0 0 0 83 60 0 0 0
8.5 0 0 0 0 0 0 0 0 0 0 77 21 0 0
9.5 0 0 0 0 0 0 0 0 0 0 48 183 0 0
10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Hmo (m)
Te (s)Location 2
Mid Bin
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 0 7 193 397 301 127 23 2 0 0 0 0 0 0
1.5 0 0 13 526 1,239 951 525 186 48 8 1 0 0 0
2.5 0 0 0 1 233 724 629 379 165 48 8 1 0 0
3.5 0 0 0 0 0 109 411 331 169 63 17 3 0 0
4.5 0 0 0 0 0 0 84 230 154 63 18 4 0 0
5.5 0 0 0 0 0 0 1 60 113 50 15 3 0 0
6.5 0 0 0 0 0 0 0 3 33 39 12 3 0 0
7.5 0 0 0 0 0 0 0 0 3 16 8 1 0 0
8.5 0 0 0 0 0 0 0 0 0 2 3 1 0 0
9.5 0 0 0 0 0 0 0 0 0 0 1 0 0 0
10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Location 3
Mid Bin
Hmo (m)
Te (s)
57
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 0 3 107 269 241 117 24 2 0 0 0 0 0 0
1.5 0 0 67 3,205 8,921 7,905 4,943 1,963 556 99 14 0 0 0
2.5 0 0 0 24 4,662 16,714 16,453 11,083 5,344 1,706 319 22 0 0
3.5 0 0 0 0 7 4,945 21,058 18,995 10,725 4,366 1,262 265 15 0
4.5 0 0 0 0 0 26 7,117 21,775 16,140 7,271 2,243 509 57 0
5.5 0 0 0 0 0 0 165 8,500 17,606 8,584 2,703 542 9 0
6.5 0 0 0 0 0 0 0 507 7,140 9,306 3,040 757 131 0
7.5 0 0 0 0 0 0 0 0 999 5,108 2,889 260 0 0
8.5 0 0 0 0 0 0 0 0 49 978 1,508 501 0 0
9.5 0 0 0 0 0 0 0 0 0 22 507 235 0 0
10.5 0 0 0 0 0 0 0 0 0 0 88 96 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 153 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Hmo (m)
Te (s)Location 3
Mid Bin
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 26 154 275 271 224 99 17 1 0 0 0 0 0 0
1.5 0 0 88 629 1,104 867 533 207 53 7 1 0 0 0
2.5 0 0 0 1 233 687 590 383 201 64 9 0 0 0
3.5 0 0 0 0 0 92 391 340 185 81 24 4 1 0
4.5 0 0 0 0 0 0 66 231 149 66 20 7 1 0
5.5 0 0 0 0 0 0 0 44 116 54 16 5 0 0
6.5 0 0 0 0 0 0 0 1 38 47 10 4 0 0
7.5 0 0 0 0 0 0 0 0 1 20 8 2 0 0
8.5 0 0 0 0 0 0 0 0 0 2 6 1 0 0
9.5 0 0 0 0 0 0 0 0 0 0 1 0 0 0
10.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Location 5
Mid Bin
Hmo (m)
Te (s)
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 8 66 152 183 179 91 17 1 0 0 0 0 0 0
1.5 0 0 437 3,831 7,949 7,203 5,022 2,183 616 90 17 0 0 0
2.5 0 0 0 12 4,666 15,865 15,443 11,206 6,501 2,281 353 13 0 0
3.5 0 0 0 0 5 4,178 20,067 19,464 11,732 5,587 1,842 301 49 0
4.5 0 0 0 0 0 3 5,581 21,845 15,562 7,585 2,503 889 176 0
5.5 0 0 0 0 0 0 39 6,193 18,122 9,187 3,035 944 94 0
6.5 0 0 0 0 0 0 0 137 8,288 11,303 2,645 1,208 131 0
7.5 0 0 0 0 0 0 0 0 379 6,410 2,904 666 52 0
8.5 0 0 0 0 0 0 0 0 0 960 2,513 522 0 0
9.5 0 0 0 0 0 0 0 0 0 22 700 183 0 0
10.5 0 0 0 0 0 0 0 0 0 0 354 701 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Hmo (m)
Te (s)Location 5
Mid Bin
58
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 16 86 306 355 289 136 27 2 0 0 0 0 0 0
1.5 0 0 15 525 1,064 898 577 236 63 8 1 0 0 0
2.5 0 0 0 0 203 647 576 399 220 69 10 0 0 0
3.5 0 0 0 0 0 81 373 338 194 87 26 3 1 0
4.5 0 0 0 0 0 0 63 227 150 71 21 7 1 0
5.5 0 0 0 0 0 0 0 44 115 55 16 5 0 0
6.5 0 0 0 0 0 0 0 1 40 49 10 4 0 0
7.5 0 0 0 0 0 0 0 0 1 22 8 2 0 0
8.5 0 0 0 0 0 0 0 0 0 3 6 1 0 0
9.5 0 0 0 0 0 0 0 0 0 0 2 0 0 0
10.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Location 6
Mid Bin
Hmo (m)
Te (s)
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 5 37 169 240 231 125 29 3 0 0 0 0 0 0
1.5 0 0 73 3,201 7,667 7,463 5,433 2,486 738 104 16 0 0 0
2.5 0 0 0 7 4,062 14,938 15,063 11,670 7,126 2,457 388 14 0 0
3.5 0 0 0 0 5 3,677 19,104 19,359 12,274 6,009 1,953 273 49 0
4.5 0 0 0 0 0 10 5,301 21,524 15,717 8,089 2,660 913 119 0
5.5 0 0 0 0 0 0 39 6,261 18,061 9,470 3,051 944 103 0
6.5 0 0 0 0 0 0 0 215 8,820 11,615 2,690 1,221 118 0
7.5 0 0 0 0 0 0 0 0 417 6,908 2,919 601 52 0
8.5 0 0 0 0 0 0 0 0 0 1,209 2,590 501 0 0
9.5 0 0 0 0 0 0 0 0 0 22 845 156 0 0
10.5 0 0 0 0 0 0 0 0 0 0 413 637 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 76 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Hmo (m)
Te (s)Location 6
Mid Bin
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 35 146 360 497 546 378 116 15 1 0 0 0 0 0
1.5 0 0 10 381 883 953 829 464 153 26 5 0 0 0
2.5 0 0 0 0 95 343 460 453 300 112 23 1 1 0
3.5 0 0 0 0 0 23 138 230 192 100 31 9 1 0
4.5 0 0 0 0 0 0 23 73 99 69 24 9 1 0
5.5 0 0 0 0 0 0 0 9 40 41 13 5 1 0
6.5 0 0 0 0 0 0 0 0 5 18 7 3 0 0
7.5 0 0 0 0 0 0 0 0 0 3 5 1 0 0
8.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0
9.5 0 0 0 0 0 0 0 0 0 0 0 1 0 0
10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Location 7
Mid Bin
Hmo (m)
Te (s)
59
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 11 63 199 337 437 349 121 17 2 0 0 0 0 0
1.5 0 1 48 2,321 6,357 7,917 7,812 4,885 1,775 337 73 0 0 0
2.5 0 0 0 1 1,899 7,930 12,027 13,243 9,688 3,953 898 60 25 0
3.5 0 0 0 0 2 1,026 7,089 13,160 12,134 6,928 2,304 761 110 0
4.5 0 0 0 0 0 3 1,949 6,921 10,348 7,929 2,947 1,205 170 0
5.5 0 0 0 0 0 0 0 1,242 6,233 6,976 2,452 1,031 216 0
6.5 0 0 0 0 0 0 0 43 1,139 4,253 1,763 708 0 0
7.5 0 0 0 0 0 0 0 0 0 969 1,595 293 0 0
8.5 0 0 0 0 0 0 0 0 0 0 483 271 0 0
9.5 0 0 0 0 0 0 0 0 0 0 145 495 0 0
10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Hmo (m)
Te (s)Location 7
Mid Bin
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 23 128 367 432 432 256 61 8 1 0 0 0 0 0
1.5 0 0 19 496 972 977 769 351 99 21 3 0 0 0
2.5 0 0 0 0 148 448 526 459 278 87 15 1 0 0
3.5 0 0 0 0 0 40 195 281 189 83 26 6 0 0
4.5 0 0 0 0 0 0 36 113 127 64 21 6 0 0
5.5 0 0 0 0 0 0 0 16 61 41 12 4 1 0
6.5 0 0 0 0 0 0 0 0 12 24 7 2 0 0
7.5 0 0 0 0 0 0 0 0 0 7 5 1 0 0
8.5 0 0 0 0 0 0 0 0 0 0 2 0 0 0
9.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0
10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Location 8
Mid Bin
Hmo (m)
Te (s)
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 7 55 203 293 346 237 64 10 1 0 0 0 0 0
1.5 0 0 94 3,020 7,000 8,120 7,247 3,694 1,154 262 39 0 0 0
2.5 0 0 0 0 2,954 10,336 13,750 13,417 8,988 3,086 568 54 4 0
3.5 0 0 0 0 5 1,813 10,026 16,126 11,988 5,780 1,924 467 19 0
4.5 0 0 0 0 0 3 3,021 10,725 13,292 7,351 2,573 784 63 0
5.5 0 0 0 0 0 0 22 2,331 9,523 7,073 2,217 743 113 0
6.5 0 0 0 0 0 0 0 86 2,573 5,781 1,820 549 26 0
7.5 0 0 0 0 0 0 0 0 51 2,104 1,595 293 0 0
8.5 0 0 0 0 0 0 0 0 0 53 831 63 0 0
9.5 0 0 0 0 0 0 0 0 0 0 338 548 0 0
10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Hmo (m)
Te (s)Location 8
Mid Bin
60
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 13 100 235 218 177 96 19 2 0 0 0 0 0 0
1.5 0 0 117 716 1,082 788 460 173 46 5 1 0 0 0
2.5 0 0 0 2 311 703 577 361 183 59 9 0 0 0
3.5 0 0 0 0 0 126 412 327 183 77 21 3 0 0
4.5 0 0 0 0 0 0 97 269 150 74 23 6 1 0
5.5 0 0 0 0 0 0 2 79 141 62 18 6 1 0
6.5 0 0 0 0 0 0 0 3 64 57 14 3 0 0
7.5 0 0 0 0 0 0 0 0 6 38 10 4 0 0
8.5 0 0 0 0 0 0 0 0 0 10 10 1 0 0
9.5 0 0 0 0 0 0 0 0 0 1 4 1 0 0
10.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 1 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Location 9
Mid Bin
Hmo (m)
Te (s)
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 4 43 130 148 141 89 20 2 0 0 0 0 0 0
1.5 0 0 581 4,363 7,796 6,549 4,330 1,822 540 65 11 0 0 0
2.5 0 0 0 33 6,215 16,222 15,088 10,556 5,911 2,094 356 14 0 0
3.5 0 0 0 0 7 5,694 21,136 18,766 11,625 5,327 1,586 205 38 0
4.5 0 0 0 0 0 36 8,222 25,443 15,676 8,448 2,839 813 170 0
5.5 0 0 0 0 0 0 215 11,144 22,133 10,624 3,285 1,119 160 0
6.5 0 0 0 0 0 0 0 670 13,985 13,528 3,685 964 66 0
7.5 0 0 0 0 0 0 0 0 1,871 12,016 3,611 1,528 157 0
8.5 0 0 0 0 0 0 0 0 32 4,143 4,291 459 0 0
9.5 0 0 0 0 0 0 0 0 0 289 2,100 600 0 0
10.5 0 0 0 0 0 0 0 0 0 27 767 637 0 0
11.5 0 0 0 0 0 0 0 0 0 0 212 688 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Hmo (m)
Te (s)Location 9
Mid Bin
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 14 112 260 242 190 103 22 2 0 0 0 0 0 0
1.5 0 0 108 704 1,074 811 480 184 50 5 1 0 0 0
2.5 0 0 0 2 296 679 579 378 188 60 9 0 0 0
3.5 0 0 0 0 0 113 392 333 195 80 22 3 0 0
4.5 0 0 0 0 0 0 84 248 148 71 23 6 1 0
5.5 0 0 0 0 0 0 2 64 133 63 17 5 1 0
6.5 0 0 0 0 0 0 0 2 55 54 13 4 0 0
7.5 0 0 0 0 0 0 0 0 3 32 10 3 0 0
8.5 0 0 0 0 0 0 0 0 0 7 8 1 0 0
9.5 0 0 0 0 0 0 0 0 0 0 3 1 0 0
10.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 1 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Location 10
Mid Bin
Hmo (m)
Te (s)
61
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 4 48 144 164 152 95 23 2 0 0 0 0 0 0
1.5 0 0 538 4,293 7,737 6,738 4,525 1,942 578 69 11 0 0 0
2.5 0 0 0 31 5,929 15,684 15,152 11,055 6,080 2,112 361 9 0 0
3.5 0 0 0 0 5 5,112 20,096 19,075 12,360 5,547 1,688 223 42 0
4.5 0 0 0 0 0 26 7,087 23,525 15,499 8,129 2,877 860 132 0
5.5 0 0 0 0 0 0 209 9,127 20,862 10,855 3,172 1,084 122 0
6.5 0 0 0 0 0 0 0 438 11,944 13,029 3,379 1,062 92 0
7.5 0 0 0 0 0 0 0 0 1,011 10,078 3,341 1,203 140 0
8.5 0 0 0 0 0 0 0 0 49 2,845 3,634 480 0 0
9.5 0 0 0 0 0 0 0 0 0 111 1,666 574 0 0
10.5 0 0 0 0 0 0 0 0 0 0 737 541 0 0
11.5 0 0 0 0 0 0 0 0 0 0 35 497 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Hmo (m)
Te (s)Location 10
Mid Bin
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 1 79 269 236 176 100 22 3 0 0 0 0 0 0
1.5 0 0 120 787 1,098 797 456 167 44 5 1 0 0 0
2.5 0 0 0 4 328 694 597 371 173 52 8 0 0 0
3.5 0 0 0 0 0 121 391 338 191 74 20 3 0 0
4.5 0 0 0 0 0 1 85 243 148 67 21 6 0 0
5.5 0 0 0 0 0 0 2 63 128 58 17 4 1 0
6.5 0 0 0 0 0 0 0 3 54 52 12 3 0 0
7.5 0 0 0 0 0 0 0 0 4 29 8 3 0 0
8.5 0 0 0 0 0 0 0 0 0 7 7 1 0 0
9.5 0 0 0 0 0 0 0 0 0 0 3 1 0 0
10.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Location 11
Mid Bin
Hmo (m)
Te (s)
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 0 34 149 160 141 92 23 3 0 0 0 0 0 0
1.5 0 0 596 4,795 7,910 6,624 4,299 1,757 513 69 11 0 0 0
2.5 0 0 0 60 6,553 16,026 15,619 10,849 5,578 1,835 303 7 0 0
3.5 0 0 0 0 15 5,480 20,058 19,362 12,128 5,140 1,530 227 23 0
4.5 0 0 0 0 0 55 7,191 23,051 15,499 7,710 2,638 755 31 0
5.5 0 0 0 0 0 0 270 8,985 19,958 9,984 3,116 891 113 0
6.5 0 0 0 0 0 0 0 550 11,868 12,364 3,210 977 92 0
7.5 0 0 0 0 0 0 0 0 1,024 9,220 2,829 991 122 0
8.5 0 0 0 0 0 0 0 0 32 2,738 3,170 397 0 0
9.5 0 0 0 0 0 0 0 0 0 89 1,569 469 0 0
10.5 0 0 0 0 0 0 0 0 0 0 796 446 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 420 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Hmo (m)
Te (s)Location 11
Mid Bin
62
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 0 48 254 233 162 89 21 2 0 0 0 0 0 0
1.5 0 0 128 894 1,128 771 420 146 35 5 1 0 0 0
2.5 0 0 0 7 375 723 602 355 152 44 6 0 0 0
3.5 0 0 0 0 2 143 396 339 184 67 17 3 0 0
4.5 0 0 0 0 0 2 90 240 146 63 19 4 0 0
5.5 0 0 0 0 0 0 3 64 123 53 16 4 0 0
6.5 0 0 0 0 0 0 0 4 56 46 11 3 0 0
7.5 0 0 0 0 0 0 0 0 4 26 8 2 0 0
8.5 0 0 0 0 0 0 0 0 0 7 6 1 0 0
9.5 0 0 0 0 0 0 0 0 0 0 3 0 0 0
10.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Location 12
Mid Bin
Hmo (m)
Te (s)
2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5
0.5 0 21 141 158 130 83 22 2 0 0 0 0 0 0
1.5 0 0 636 5,450 8,122 6,411 3,954 1,536 412 63 12 0 0 0
2.5 0 0 0 115 7,504 16,689 15,755 10,394 4,921 1,574 221 5 0 0
3.5 0 0 0 0 63 6,471 20,316 19,454 11,644 4,640 1,317 205 19 0
4.5 0 0 0 0 0 117 7,647 22,771 15,280 7,182 2,308 544 0 0
5.5 0 0 0 0 0 0 429 8,998 19,312 9,127 2,954 787 84 0
6.5 0 0 0 0 0 0 0 696 12,323 11,126 2,961 842 92 0
7.5 0 0 0 0 0 0 0 0 1,213 8,362 2,663 683 105 0
8.5 0 0 0 0 0 0 0 0 0 2,863 2,783 313 0 0
9.5 0 0 0 0 0 0 0 0 0 111 1,497 287 0 0
10.5 0 0 0 0 0 0 0 0 0 0 796 446 0 0
11.5 0 0 0 0 0 0 0 0 0 0 0 344 0 0
12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Hmo (m)
Te (s)Location 12
Mid Bin
63
Extreme Wave Analysis Plots
Extreme significantwave heightsforall locations,with95% confidence bounds.
64
65
66
67
68
10.2 Wave Roses
Wave rosesfor all locations.
69
70
71
11 Supervision Record Forms
72
73

More Related Content

What's hot

Entropy generatioin study for bubble separation in pool boiling
Entropy generatioin study for bubble separation in pool boilingEntropy generatioin study for bubble separation in pool boiling
Entropy generatioin study for bubble separation in pool boilingfpstbone
 
Technical Report: Mount Bisson Property (Rare Earth Industries)
Technical Report: Mount Bisson Property (Rare Earth Industries)Technical Report: Mount Bisson Property (Rare Earth Industries)
Technical Report: Mount Bisson Property (Rare Earth Industries)Rocky Mountain Rare Metal Belt
 
Michael Johnson's AIAA Business Jet Design Report
Michael Johnson's AIAA Business Jet Design ReportMichael Johnson's AIAA Business Jet Design Report
Michael Johnson's AIAA Business Jet Design ReportMichael Johnson
 
Geophysics: Detecting Stress in Mines
Geophysics: Detecting Stress in MinesGeophysics: Detecting Stress in Mines
Geophysics: Detecting Stress in Minesali oncel
 
Publication: Space Debris: Applied Technologies and Policy Prescriptions
Publication: Space Debris: Applied Technologies and Policy PrescriptionsPublication: Space Debris: Applied Technologies and Policy Prescriptions
Publication: Space Debris: Applied Technologies and Policy Prescriptionsstephaniclark
 
2014 Namibia Science Report Final-1
2014 Namibia Science Report Final-12014 Namibia Science Report Final-1
2014 Namibia Science Report Final-1Ronald Guthrie
 
Darren Chaker RICO Lawsuit
Darren Chaker RICO LawsuitDarren Chaker RICO Lawsuit
Darren Chaker RICO LawsuitDarren Chaker
 
Scott McMillan v Darren Chaker RICO
Scott McMillan v Darren Chaker RICOScott McMillan v Darren Chaker RICO
Scott McMillan v Darren Chaker RICODarren Chaker
 
WESCO_2007Proxy
WESCO_2007ProxyWESCO_2007Proxy
WESCO_2007Proxyfinance34
 
Exeter technical report_caspiche_dec_2007
Exeter technical report_caspiche_dec_2007Exeter technical report_caspiche_dec_2007
Exeter technical report_caspiche_dec_2007Calama, Antofagasta
 
Cloud Computing Security (Final Year Project) by Pavlos Stefanis
Cloud Computing Security (Final Year Project) by Pavlos StefanisCloud Computing Security (Final Year Project) by Pavlos Stefanis
Cloud Computing Security (Final Year Project) by Pavlos StefanisPavlos Stefanis
 
US EPA BRAD TMOF
US EPA BRAD TMOFUS EPA BRAD TMOF
US EPA BRAD TMOFentogenex
 
Clostridiumbotulism
ClostridiumbotulismClostridiumbotulism
Clostridiumbotulismthuytrang246
 
Freek d. van der meer, carranza, john multi- and hyperspectral geologic rem...
Freek d. van der meer, carranza, john   multi- and hyperspectral geologic rem...Freek d. van der meer, carranza, john   multi- and hyperspectral geologic rem...
Freek d. van der meer, carranza, john multi- and hyperspectral geologic rem...Martha Condori Quispe
 
anheuser-busch A-Bproxy2007
anheuser-busch A-Bproxy2007anheuser-busch A-Bproxy2007
anheuser-busch A-Bproxy2007finance15
 
Revisiting standards of review in civil appeals 121 pages
Revisiting standards of review in civil appeals   121 pagesRevisiting standards of review in civil appeals   121 pages
Revisiting standards of review in civil appeals 121 pagesUmesh Heendeniya
 
Guide for elaboration of clinical study reports for biological product regist...
Guide for elaboration of clinical study reports for biological product regist...Guide for elaboration of clinical study reports for biological product regist...
Guide for elaboration of clinical study reports for biological product regist...Clapbio
 
Immiigration law outline, selected topics 9th circuit 590-pages
Immiigration law outline, selected topics   9th circuit   590-pagesImmiigration law outline, selected topics   9th circuit   590-pages
Immiigration law outline, selected topics 9th circuit 590-pagesUmesh Heendeniya
 

What's hot (20)

Entropy generatioin study for bubble separation in pool boiling
Entropy generatioin study for bubble separation in pool boilingEntropy generatioin study for bubble separation in pool boiling
Entropy generatioin study for bubble separation in pool boiling
 
Technical Report: Mount Bisson Property (Rare Earth Industries)
Technical Report: Mount Bisson Property (Rare Earth Industries)Technical Report: Mount Bisson Property (Rare Earth Industries)
Technical Report: Mount Bisson Property (Rare Earth Industries)
 
Michael Johnson's AIAA Business Jet Design Report
Michael Johnson's AIAA Business Jet Design ReportMichael Johnson's AIAA Business Jet Design Report
Michael Johnson's AIAA Business Jet Design Report
 
.Final Project Complete
.Final Project Complete.Final Project Complete
.Final Project Complete
 
Geophysics: Detecting Stress in Mines
Geophysics: Detecting Stress in MinesGeophysics: Detecting Stress in Mines
Geophysics: Detecting Stress in Mines
 
Publication: Space Debris: Applied Technologies and Policy Prescriptions
Publication: Space Debris: Applied Technologies and Policy PrescriptionsPublication: Space Debris: Applied Technologies and Policy Prescriptions
Publication: Space Debris: Applied Technologies and Policy Prescriptions
 
2014 Namibia Science Report Final-1
2014 Namibia Science Report Final-12014 Namibia Science Report Final-1
2014 Namibia Science Report Final-1
 
Darren Chaker RICO Lawsuit
Darren Chaker RICO LawsuitDarren Chaker RICO Lawsuit
Darren Chaker RICO Lawsuit
 
Scott McMillan v Darren Chaker RICO
Scott McMillan v Darren Chaker RICOScott McMillan v Darren Chaker RICO
Scott McMillan v Darren Chaker RICO
 
WESCO_2007Proxy
WESCO_2007ProxyWESCO_2007Proxy
WESCO_2007Proxy
 
Exeter technical report_caspiche_dec_2007
Exeter technical report_caspiche_dec_2007Exeter technical report_caspiche_dec_2007
Exeter technical report_caspiche_dec_2007
 
Cloud Computing Security (Final Year Project) by Pavlos Stefanis
Cloud Computing Security (Final Year Project) by Pavlos StefanisCloud Computing Security (Final Year Project) by Pavlos Stefanis
Cloud Computing Security (Final Year Project) by Pavlos Stefanis
 
US EPA BRAD TMOF
US EPA BRAD TMOFUS EPA BRAD TMOF
US EPA BRAD TMOF
 
Clostridiumbotulism
ClostridiumbotulismClostridiumbotulism
Clostridiumbotulism
 
Freek d. van der meer, carranza, john multi- and hyperspectral geologic rem...
Freek d. van der meer, carranza, john   multi- and hyperspectral geologic rem...Freek d. van der meer, carranza, john   multi- and hyperspectral geologic rem...
Freek d. van der meer, carranza, john multi- and hyperspectral geologic rem...
 
Schedule 7
Schedule 7Schedule 7
Schedule 7
 
anheuser-busch A-Bproxy2007
anheuser-busch A-Bproxy2007anheuser-busch A-Bproxy2007
anheuser-busch A-Bproxy2007
 
Revisiting standards of review in civil appeals 121 pages
Revisiting standards of review in civil appeals   121 pagesRevisiting standards of review in civil appeals   121 pages
Revisiting standards of review in civil appeals 121 pages
 
Guide for elaboration of clinical study reports for biological product regist...
Guide for elaboration of clinical study reports for biological product regist...Guide for elaboration of clinical study reports for biological product regist...
Guide for elaboration of clinical study reports for biological product regist...
 
Immiigration law outline, selected topics 9th circuit 590-pages
Immiigration law outline, selected topics   9th circuit   590-pagesImmiigration law outline, selected topics   9th circuit   590-pages
Immiigration law outline, selected topics 9th circuit 590-pages
 

Similar to James_Atkinson_Dissertation

NGSS%20DCI%20Combined%2011.6.13.pdf
NGSS%20DCI%20Combined%2011.6.13.pdfNGSS%20DCI%20Combined%2011.6.13.pdf
NGSS%20DCI%20Combined%2011.6.13.pdfBhavani Testone
 
Rock Oyster Feasibilty Study-2
Rock Oyster Feasibilty Study-2Rock Oyster Feasibilty Study-2
Rock Oyster Feasibilty Study-2Hayley Woodland
 
Dr Dev Kambhampati | EPA Proceedings- Hydraulic Fracturing Study- Water Resou...
Dr Dev Kambhampati | EPA Proceedings- Hydraulic Fracturing Study- Water Resou...Dr Dev Kambhampati | EPA Proceedings- Hydraulic Fracturing Study- Water Resou...
Dr Dev Kambhampati | EPA Proceedings- Hydraulic Fracturing Study- Water Resou...Dr Dev Kambhampati
 
Nov 2002 p.3
Nov 2002 p.3Nov 2002 p.3
Nov 2002 p.3King Ali
 
Ringuette_Dissertation_20140527
Ringuette_Dissertation_20140527Ringuette_Dissertation_20140527
Ringuette_Dissertation_20140527Rebecca Ringuette
 
Outhwaite-Aaron-MASc-PEAS-August-2015
Outhwaite-Aaron-MASc-PEAS-August-2015Outhwaite-Aaron-MASc-PEAS-August-2015
Outhwaite-Aaron-MASc-PEAS-August-2015Aaron Outhwaite
 
Archaeological Report - Knockhouse Lower, Co. Waterford (Ireland)
Archaeological Report - Knockhouse Lower, Co. Waterford (Ireland)Archaeological Report - Knockhouse Lower, Co. Waterford (Ireland)
Archaeological Report - Knockhouse Lower, Co. Waterford (Ireland)John Tierney
 
Hanan Einav-Levy Msc Thesis
Hanan Einav-Levy Msc ThesisHanan Einav-Levy Msc Thesis
Hanan Einav-Levy Msc ThesisHanan E. Levy
 
Architectural Survey - N7 Castletown-Nenagh Road Scheme
Architectural Survey - N7 Castletown-Nenagh Road SchemeArchitectural Survey - N7 Castletown-Nenagh Road Scheme
Architectural Survey - N7 Castletown-Nenagh Road SchemeJohn Tierney
 
0625_s14_qp_63
0625_s14_qp_630625_s14_qp_63
0625_s14_qp_63King Ali
 
A novel Lab-on-Tip nanomechanical platform for single molecule DNA sequencing
A novel Lab-on-Tip nanomechanical platform for single molecule DNA sequencingA novel Lab-on-Tip nanomechanical platform for single molecule DNA sequencing
A novel Lab-on-Tip nanomechanical platform for single molecule DNA sequencingZhuo Wang
 
0625 s03 qp_3
0625 s03 qp_30625 s03 qp_3
0625 s03 qp_3King Ali
 

Similar to James_Atkinson_Dissertation (20)

02whole
02whole02whole
02whole
 
NGSS%20DCI%20Combined%2011.6.13.pdf
NGSS%20DCI%20Combined%2011.6.13.pdfNGSS%20DCI%20Combined%2011.6.13.pdf
NGSS%20DCI%20Combined%2011.6.13.pdf
 
Rock Oyster Feasibilty Study-2
Rock Oyster Feasibilty Study-2Rock Oyster Feasibilty Study-2
Rock Oyster Feasibilty Study-2
 
Dr Dev Kambhampati | EPA Proceedings- Hydraulic Fracturing Study- Water Resou...
Dr Dev Kambhampati | EPA Proceedings- Hydraulic Fracturing Study- Water Resou...Dr Dev Kambhampati | EPA Proceedings- Hydraulic Fracturing Study- Water Resou...
Dr Dev Kambhampati | EPA Proceedings- Hydraulic Fracturing Study- Water Resou...
 
Nov 2002 p.3
Nov 2002 p.3Nov 2002 p.3
Nov 2002 p.3
 
Ringuette_Dissertation_20140527
Ringuette_Dissertation_20140527Ringuette_Dissertation_20140527
Ringuette_Dissertation_20140527
 
Outhwaite-Aaron-MASc-PEAS-August-2015
Outhwaite-Aaron-MASc-PEAS-August-2015Outhwaite-Aaron-MASc-PEAS-August-2015
Outhwaite-Aaron-MASc-PEAS-August-2015
 
WP-1762-FR
WP-1762-FRWP-1762-FR
WP-1762-FR
 
MS_Aero_Thesis
MS_Aero_ThesisMS_Aero_Thesis
MS_Aero_Thesis
 
Archaeological Report - Knockhouse Lower, Co. Waterford (Ireland)
Archaeological Report - Knockhouse Lower, Co. Waterford (Ireland)Archaeological Report - Knockhouse Lower, Co. Waterford (Ireland)
Archaeological Report - Knockhouse Lower, Co. Waterford (Ireland)
 
UKCS-23rd-round-Anergy_text
UKCS-23rd-round-Anergy_textUKCS-23rd-round-Anergy_text
UKCS-23rd-round-Anergy_text
 
QUOVADIS_NUM1_AMJ_2010
QUOVADIS_NUM1_AMJ_2010QUOVADIS_NUM1_AMJ_2010
QUOVADIS_NUM1_AMJ_2010
 
Hanan Einav-Levy Msc Thesis
Hanan Einav-Levy Msc ThesisHanan Einav-Levy Msc Thesis
Hanan Einav-Levy Msc Thesis
 
Architectural Survey - N7 Castletown-Nenagh Road Scheme
Architectural Survey - N7 Castletown-Nenagh Road SchemeArchitectural Survey - N7 Castletown-Nenagh Road Scheme
Architectural Survey - N7 Castletown-Nenagh Road Scheme
 
20120112-Dissertation7-2
20120112-Dissertation7-220120112-Dissertation7-2
20120112-Dissertation7-2
 
0625_s14_qp_63
0625_s14_qp_630625_s14_qp_63
0625_s14_qp_63
 
A novel Lab-on-Tip nanomechanical platform for single molecule DNA sequencing
A novel Lab-on-Tip nanomechanical platform for single molecule DNA sequencingA novel Lab-on-Tip nanomechanical platform for single molecule DNA sequencing
A novel Lab-on-Tip nanomechanical platform for single molecule DNA sequencing
 
JJenkinson_Thesis
JJenkinson_ThesisJJenkinson_Thesis
JJenkinson_Thesis
 
0625 s03 qp_3
0625 s03 qp_30625 s03 qp_3
0625 s03 qp_3
 
Project_Report
Project_ReportProject_Report
Project_Report
 

James_Atkinson_Dissertation

  • 1. JAMES ATKINSON UNIVERSITY OF EXETER: STUDENT ID: 640040686 SUPERVISOR: DR. HELEN SMITH A WAVE RESOURCE ASSESSMENT FOR THE ISLES OF SCILLY
  • 2. i Contents List of Figures..............................................................................................................................iii List of Tables ............................................................................................................................... iv Acknowledgements ...................................................................................................................... v Abstract......................................................................................................................................vi Table of Notation........................................................................................................................ vii 1 Introduction.......................................................................................................................... 1 1.1 The Isles of Scilly............................................................................................................ 1 1.2 Current Infrastructure....................................................................................................1 1.3 Wave Resource.............................................................................................................. 2 1.4 Project Aims.................................................................................................................. 3 2 Dataset.................................................................................................................................4 3 Data Validation ..................................................................................................................... 9 3.1 Introduction.................................................................................................................. 9 3.2 Method......................................................................................................................... 9 3.3 Results........................................................................................................................ 13 3.3.1 Comparison of Spectral Data................................................................................. 13 3.4 Conclusion................................................................................................................... 15 4 Wave Resource ................................................................................................................... 16 4.1 Intro............................................................................................................................ 16 4.2 Method....................................................................................................................... 16 4.2.1 Joint Occurrence Tables, Energy Yield and Power Calculations ................................ 16 4.2.2 Temporal Variation............................................................................................... 17 4.2.3 Directional Analysis .............................................................................................. 18 4.2.4 Spatial Variation................................................................................................... 18 4.2.5 Spectral Analysis................................................................................................... 20 4.3 Results........................................................................................................................ 21 4.3.1 Joint Occurrence Tables andAnnual Energy Yield ................................................... 21 4.3.2 Temporal Variation............................................................................................... 23 4.3.3 Directional Analysis .............................................................................................. 29 4.3.4 Spatial Variation................................................................................................... 34 4.3.5 Spectral Analysis................................................................................................... 35 4.4 Conclusion................................................................................................................... 37 5 Extreme Wave Analysis........................................................................................................ 38 5.1 Intro............................................................................................................................ 38 5.2 Method....................................................................................................................... 38
  • 3. ii 5.2.1 Extreme Value Analysis and the 100-Year Wave ..................................................... 38 5.2.2 Storm Analysis...................................................................................................... 39 5.3 Results........................................................................................................................ 40 5.3.1 100-Year Wave..................................................................................................... 40 5.3.2 Storm Analysis...................................................................................................... 42 5.3.3 Spatial Variation during Storm Conditions.............................................................. 44 5.4 Conclusion................................................................................................................... 45 6 Local Constraints................................................................................................................. 46 6.1 Introduction................................................................................................................ 46 6.2 Constraints.................................................................................................................. 46 6.2.1 Infrastructure and Grid constraints........................................................................ 46 6.3 Environmental Impact.................................................................................................. 48 6.3.1 Physical................................................................................................................ 48 6.3.2 Biological ............................................................................................................. 48 6.3.3 Social................................................................................................................... 50 7 Conclusion.......................................................................................................................... 51 8 Discussion and Limitations................................................................................................... 53 9 References.......................................................................................................................... 54 10 Appendix......................................................................................................................... 56 10.1 Joint Occurrence Tables andAnnual Yield...................................................................... 56 Extreme Wave Analysis Plots................................................................................................... 63 10.2 Wave Roses................................................................................................................. 68 11 Supervision Record Forms................................................................................................ 71
  • 4. iii List of Figures Figure 2-1; Details of the 12 hindcast outputlocations around the Isles of Scilly............................... 5 Figure 2-2; Maps the location of the 12 hindcast locations.............................................................. 6 Figure 2-3; Details the 7 buoys used for validation. Source; (van Nieuwkoopet al., 2013) ................. 6 Figure 2-4; Validation results from the original hindcast study. Source; (van Nieuwkoopet al., 2013) 7 Figure 2-5; Bias betweenmodelledvaluesandobservedvaluesfromPRIMaREwave buoyD.(van Nieuwkoop et al., 2013) ................................................................................................................ 7 Figure 2-6; Results from regression analysis previously conducted, (van Nieuwkoop et al., 2013) ......8 Figure 3-1; Shows location of WaveNet buoy and local bathymetry;................................................ 9 Figure 3-2; Compares uncorrected annual means over hindcast period with spectral data for 2015 13 Figure 3-3; Compares corrected annual means over hindcast period with spectral data for 2015 .... 13 Figure 3-4; Showsuncorrectedandcorrectedminimum, maximumandaverage meansforeach month with spectral data plotted for comparison......................................................................... 14 Figure 3-5; Showsuncorrectedandcorrectedmonthlysignificantheightswithspectral dataplotted for comparison........................................................................................................................... 14 Figure 3-6; Showsuncorrectedandcorrectedmonthlyenergyperiodswithspectral dataplottedfor comparison................................................................................................................................ 15 Figure 4-1; Power per meter of wave for each sea state................................................................ 17 Figure 4-2; Condensed table showing hours occurrence each year of each sea state at location 4 ... 19 Figure 4-3; Hours occurrence each year of each sea state at location 1.......................................... 21 Figure 4-4; Annual energy generated per meter of wave for each sea state at location 1 ................ 21 Figure 4-5; Hours occurrence each year of each sea state at location 4.......................................... 22 Figure 4-6; Annual energy generated per meter of wave for each sea state at location 4 ................ 22 Figure 4-7; Time series of power at location 1 .............................................................................. 24 Figure 4-8; Time series of power at location 4 .............................................................................. 24 Figure 4-9; Monthly averages over hindcast period at location 1................................................... 25 Figure 4-10; Monthly averages over hindcast period at location 4 ................................................. 25 Figure 4-11; Minimum, maximum and mean monthly average power per meter of wave ............... 26 Figure 4-12; Minimum, maximum and mean monthly average significant height............................ 26 Figure 4-13; Minimum, maximum and mean monthly average energy periods............................... 27 Figure 4-14; Annual mean power over hindcast period ................................................................. 27 Figure 4-15; Seasonal variation at location 1 ................................................................................ 28 Figure 4-16; Seasonal variation at location 14............................................................................... 28 Figure 4-17; Hourly occurrence of sea states from 0-180 degrees.................................................. 29 Figure 4-18; Hour occurrence table of sea states between 180-360 degrees .................................. 30 Figure 4-20; Wave rose for locations 1-4...................................................................................... 32 Figure 4-21; Map with wave roses superimposed ......................................................................... 33 Figure 4-22; Spatial variation of mean power............................................................................... 34 Figure 4-23; Spectral data plotted for each Hm0 and Tm-10 pair................................................... 35 Figure 4-24; Spectral data plotted by direction............................................................................. 36 Figure 5-1; Frequency distribution of significant heights at location 4 ................................ 38 Figure 5-2; Extreme significant heights with 95% confidence bounds at location 1 ......................... 41 Figure 5-3; Extreme significant heights with 95% confidence bounds at location 4 ......................... 41 Figure 5-4; Most energetic sea states recorded each year throughout the hindcast period ............. 42 Figure 5-5; Largest significant heights recordedeach year throughout the hindcast period............. 43 Figure 5-6; Spatial variation during extreme conditions................................................................. 44 Figure 6-1; Available substation capacity on Bryher and St Martins................................................ 47
  • 5. iv Figure 6-2; Available substation capacity at St Mary's ................................................................... 47 Figure 6-3; Geological survey....................................................................................................... 48 Figure 6-4; Marine designation and marine species and habitat concentrations ............................. 49 Figure 6-5; Mean annual power and marine designations ............................................................. 50 List of Tables Table 2-1; Table of proposed correction factors.............................................................................. 8 Table 3-1; Spectral data for a single sea state............................................................................... 10 Table 4-1; Summary statistics for all location................................................................................ 23 Table 4-2; Summary table of power by direction........................................................................... 31 Table 5-1; Summary table of extreme conditions experienced at all locations ................................ 43 Table 6-1; Local constraint data sources....................................................................................... 46
  • 6. v Acknowledgements Firstly, I would like to thank my supervisor Dr. Helen Smith for her continued support and advice throughout the duration of this dissertation. Her help and advice has contributed to the success of this report. I would also like to thank Johanna van Nieuwkoop-McCall, Prof. George Smith and Lars Johanning who, along with Dr. Helen Smith, produced the hindcast dataset analysed in this report and whose research and work within the marine renewables industry continues to lead the way and gain international recognition. Special thanks should also be given to Julian Pearce, Senior Officer of Physical Assets and Natural Resources within the Isles of Scilly council, for his continued patience and readiness to share information and resources.
  • 7. vi Abstract Due to their exposed location in the Atlantic Ocean, the Isles of Scilly experience some of the UK’s largest waves. This report studies the variation in wave power at 12 locations around the Isles by analysing a 23-year hindcast dataset. The dataset was produced using the ERA-Interim global reanalysis dataset provided by the European Centre for Medium- Range Weather Forecasts, (ECMWF). Knowledge of temporal and spatial variation, extreme wave conditions and local constraints is essential for locating wave energy converters. There is a large temporal and spatial variation around the Isles of Scilly. Locations to the south-west of Isles experience a mean annual power of 37.5kW/m whilst on the sheltered eastern side the mean annual power is as little as 6.7kW/m. At the most energetic sites monthly mean power can vary from 3-7kW/m during summer months to over 100kW/m in winter months. Extreme wave analysis shows there is potential for a 1 in 100 year wave to have a significant height of almost 20m. However, although there is an abundant wave resource the biologically diverse marine environment, exposed location and unique setting of the Isles of Scilly can produce different problems.
  • 9. 1 1 Introduction 1.1 The Isles of Scilly The Isles of Scilly are a small archipelago located 28 miles off the south-west tip of Cornwall. The Isles consist of over 190 islets composed of granite rock dating back over 300 million years. There are five inhabited islands and a permanent population of 2,203 residents at the 2011 census, (ONS, 2011). The exposed location within the Atlantic Ocean has created a complex ecosystemof significant cultural and environmental importance. The Isles and surrounding area are a designated Marine Special Area of Conservation, (SAC), and there are 11 Marine Conservation Zones around the Isles. The Islands themselves are a designated Area of Outstanding Natural Beauty, Heritage Coast and 26 Sites of Specific Scientific Interest cover 34% of the Islands, (Natural England, 2013). Thus, highlighting the sensitive and complex environment. 1.2 CurrentInfrastructure In order to meet electricity requirements, the Isles rely on a single 33kV electricity transmission line connected to the mainland. The 55km cable was installed by South Western Electricity Board in 1988 and is currently owned and maintained by Western Power Distribution, the current Distribution Network Operator for the South-West. The cable has a capacity of 7.5MW, and can be used to back-feed 4MW to the mainland if required. This rarely occurs and would primarily be from the 5.7MW backup power station on St Mary’s, during times of blackout. The cable was exposed by the 2013/14 winter storms and is due for replacement, at an estimated replacement cost of £25million, (Isles of Scilly Council, 2014). St Mary’s, Tresco and St Martins are on a shared distribution network, and are effectively a self-contained micro-grid. Bryher and St Agnes are on spurs from this loop and the lack of opportunity to back feed has required two local back up power stations on the Islands. (Isles of Scilly Council, 2007).
  • 10. 2 Energy supply to the Isles of Scilly is restricted by the Islands’ peripheral location preventing the local population access to certain energy sources. The 2011 census showed 40% of local residents do not have central heating systems and electricity is currently used to meet a large proportion of demand, including heating and cooking. Since the installation of the cable, locals can receive the Economy 7 tariff which is widely used due to the use of electric storage heaters. There is an early evening peak load of 4.5MW and a night time Economy 7 peak load of 4.5MW. 1.3 Wave Resource Due to their exposed location in the Atlantic, the Isles experience some of the UK’s largest waves. Earlier this year, (February 2016), the Isles were hit by storm Imogen and waves with a significant height of over 13.5m were recorded, (Met Office, 2016). In an assessment of the wave and tidal resource by the South West of England Regional Development Agency, results found that throughout the South West region; “in water depths of around 50 m, the all-year average wave power varies between 38 kW/m at exposed locations near the Isles of Scilly and 19 kW/m in more sheltered sites near Lundy Island,” (SWRDA, 2004). Utilising the abundant wave energy resource could help reduce dependence on electricity supply from the mainland, help to cut carbon emissions and help the Isles meet their long term goal of self-sustainability. As well as the positive environmental impacts the development of wave energy projects could help to diversify the local economy. At the moment At least 80% of the Islands economic income stems directly from tourism. Currently there is only one wave energy project in planning around the Isles. 40 South Energy have proposed a small project near St Mary’s airport with the installation of 3, 200kW devices. However, this project was first suggested in 2013 and is still awaiting consent. Two of three devices have already been sold to an investment company and 40 South Energy have stated that they hope at least part of the third device can be owned by the local community, (40 South Energy, 2016). Wave power provides an opportunity for the Isles of Scilly to implement sustainable technologies without having a significant visual impact on the surrounding landscape.
  • 11. 3 1.4 ProjectAims There has been little in depth research into the wave resource around the Isles of Scilly with no academic journals existing on the topic. This report aims to study a 23-year hindcast dataset produced by the University of Exeter in order to;  Quantify the available power around the Isles.  Analyse the temporal and spatial variation around the Isles.  Analyse extreme wave conditions.  Identify suitable locations by studying the wave climate and local constraints.  Assess the feasibility of using wave power to meet all the Isles electricity demand.
  • 12. 4 2 Dataset The University has produced a 23-year hindcast dataset using the spectral wave model SWAN, (Simulating WAves Nearshore). SWAN is a third-generation wave model for obtaining accurate estimates of fundamental wave parameters in large bodies of water including; coastal areas, lakes, and estuaries. The model accounts for all processes that generate, dissipate or redistribute wave energy. These include deep water processes of wind input, whitecapping dissipation, and quadruplet nonlinear interaction. As well as shallow water processes including, bottom friction dissipation, depth induced breaking and triad wave-wave interactions, (Ris, Holthuijsen and Booij, 1994). This section briefly summarises the main methodology of the original hindcast study, for full details on the model set-up, sensitivity study and data validation please refer to the following paper; “Wave resource assessment along the Cornish coast (UK) from a 23-year hindcast dataset,” (van Nieuwkoop et al., 2013). The model was set-up to cover the area of 4 to 7 degrees west and 49 to 51 degrees north, encompassing the whole Cornwall coast and the Isles of Scilly. The model ran in non- stationary mode and the wind and wave inputs were provided by the ECMWF, (European Centre for Medium-Range Weather Forecasting), dataset. ECMWF runs the ERA-Interim, a global atmospheric reanalysis utilising the wave model WAM, (Hasselmann et al. 1988). Before the study was conducted a sensitivity study was done to determine the optimal model settings. Results were compared to a reference simulation using default SWAN settings and to recorded buoy data for two hindcast periods. The most significant change occurred when the default whitecapping settings were changed. Settings were changed to reduce dissipation at lower frequencies and increase dissipation at higher frequencies. Other changes to default settings were found to have a negligible effect. SWAN models used in Sections 3.2 and 4.2.4 of this report have used the similar settings to the original study. In addition to locations around Cornwall, analysed in the original study, hourly readings were produced at 12 locations around the Isles of Scilly over the 23-year hindcast period from 1st Jan 1989 to 31st Dec 2011. Output parameters included; Hm0, Tm-10, Tm01, the mean direction, time and date for each sea state. Details and positions of the output locations are
  • 13. 5 shown Table 2.1 and Figure 2.2. Output locations are referred to throughout the report as ‘Hindcast Locations 1-12’, or simply Locations 1-12 were acceptable. Figure 2-1; Details of the 12 hindcast output locations around the Isles of Scilly Location Latitude Longitude Depth 1 -6.2490 49.9714 53.5 2 -6.3460 49.8743 60.1 3 -6.4100 49.8563 62.7 4 -6.4640 49.8833 54.6 5 -6.4280 49.9255 56.2 6 -6.4010 49.9507 67.7 7 -6.3730 49.9624 53.7 8 -6.3490 49.9759 50.8 9 -6.4530 49.9561 84.9 10 -6.4170 49.9741 77.7 11 -6.3880 49.9975 78.0 12 -6.3650 50.0110 80
  • 14. 6 Figure 2-2; Maps the location of the 12 hindcast locations Data outputs were validated against buoy measurements at 7 locations over available time periods. Figure 2-3; Details the 7 buoys used for validation. Source; (van Nieuwkoop et al., 2013) In each comparison three statistical analysis techniques were applied and studied; the relative bias, the root mean squared error, (RMSE), and the scatter index, (defined as the
  • 15. 7 standard deviation of the difference between modelled and observed data, normalised by the mean of the observations). Results are shown in Figures 2.4 and 2.5. Figure 2-4; Validation results from the original hindcast study. Source; (van Nieuwkoop et al., 2013) Computed values of Hm0 overall were underestimated by a few centimetres. Figure.2.5 shows relatively large negative bias for very steep or long waves and a large positive bias for small waves less than 1m. All bias for the calculation of Tm-10 is negative. The smallest bias is found on steep waves and the largest bias is found for long small waves. The model performs best for medium height waves between 0.5 and 3m and wave periods between 4 and 10 seconds but tends to significantly underestimate larger waves. The relationship between modelled data and observed data from the PRIMaRE wave buoy D was studied and correction factors for both Hm0 and Tm-10 were calculated using regression techniques. Figure 2.6 shows the error between modelled and computed data. Hm0 bias is modelled as a quadratic in order to increase Hm0 for larger waves and reduce Hm0 for smaller Figure 2-5; Bias between modelled values and observed values from PRIMaRE wave buoy D. (van Nieuwkoop et al., 2013)
  • 16. 8 waves. There is a linear relationship between Tm-10 bias and is therefore modelled as a constant. Figure 2-6; Results from regression analysis previously conducted, (van Nieuwkoop et al., 2013) Table 2-1; Table of proposed correction factors. Hm0 Correction Factor y = -0.01x2 -0.08x +0.11 Tm-10 Correction Factor y = -1.2 For more information, please refer Appendix A of the original study, (van Nieuwkoop et al., 2013).
  • 17. 9 3 Data Validation 3.1 Introduction This section aims to test the validity of the data for use at the 12 hindcast locations around the Isles and assess the difference between uncorrected and corrected datasets. 3.2 Method In order to assess the validity, spectral data from a nearby wave buoy has been analysed. Data is from the 'SW Isles of Scilly WaveNet Site' and has been provided by Cefas, (Cefas, 2016). Data collection commenced on 11th October 2014. The buoy is still operational and data has been downloaded and analysed until 1st March 2016. The buoy is situated at a water depth of 90m and is located to the South of the Isles of Scilly at a 49°51'.01N, 6°32'.61W, as shown in Fig.3.1. Figure 3-1; Shows location of WaveNet buoy and local bathymetry;
  • 18. 10 Spectral data represents the sea state at a given moment of time, i.e. assumes that the sea state is stationary. The WaveNet spectral data is recorded with a time step of 30 minutes and shows the period, spectral density, wave direction and wave spread for 13 frequencies at each time step. Data for a single time step is shown in Table 3.1. Table 3-1; Spectral data for a single sea state The power per meter of wave, (W/m), can be calculated using the omni-directional wave power formulae, (EMEC, 2009): Where the group velocity can be calculated as;
  • 19. 11 Where k = 2π/ λ and has been calculated using an iterative Matlab script based on the dispersion relationship; The significant height and energy period have also been calculated from the moments of the spectrum, where; For example, m1 and m-1 can be calculated as; The significant height and energy period are calculated as; The power, significant height and energy period were calculated for each sea state within the available period and analysed for comparison. In order to compare the power output at the WaveNet site to the corrected and uncorrected hindcast datasets a SWAN model was set up in order to determine the spatial relationship between Hindcast Location 4 and the WaveNet site. Location 4 has been chosen for comparison as its exposed location and geographical proximity to the WaveNet site suggest conditions should be most similar to the WaveNet site. The model was run in stationary mode using settings similar to the original hindcast study. 44 different sea states were analysed to approximate the spatial correlation between the two sites. The sea states modelled are shown in section 4.2.4 Figure 4.2. The hourly
  • 20. 12 occurrence of each sea state is known, (see section 4.2), this was used to calculate the spatial correlation between Location 4 and the WaveNet buoy site. Results from the SWAN model show the power per meter of wave is on average 12 percent greater at the WaveNet site than Hindcast Location 4. The significant height is on average 8 percent greater at the WaveNet site and the energy period is on average 3 percent smaller as the WaveNet site. These results were used to adjust the spectral data to match conditions at Location 4. The mean power per meter of wave for 2015 at the WaveNet site, is 40.67 kW/m. When adjusted to match conditions at Location 4 the mean power is 36.50 kW/m. The modified spectral data was then compared to both the corrected and uncorrected hindcast datasets. Annual and monthly averages of power, significant height and energy periods have been compared to the spectral data for both the corrected and uncorrected datasets. Figures 3.3 and 3.4 show the annual means over the hindcast period compared to the 2015 annual mean calculated from the spectral data. Figures 3.4 to 3.6 show the minimum, maximum and mean monthly averages of; power output, significant height and energy period. Monthly means of the spectral data have been plotted for comparison.
  • 21. 13 3.3 Results 3.3.1 Comparison of Spectral Data The overall annual mean for the uncorrected data is 29 kW/m whilst for the corrected hindcast data the annual mean is 37.63. Results show that an annual mean power of 36.5 kW/m, calculated from the spectrum, is right at the top of the range for uncorrected data, however it is close to the mean for the corrected dataset. Figure 3-3; Compares corrected annual means over hindcast period with spectral data for 2015 Figure 3-2; Compares uncorrected annual means over hindcast period with spectral data for 2015
  • 22. 14 When compared to the uncorrected hindcast dataset, the average power from the spectral data throughout December is greater than any December over the entire 23-year hindcast period. When compared to the corrected data, all monthly averages fit within the expected range. Figure 3-4; Shows uncorrected and corrected minimum, maximum and average means for each month with spectral data plotted for comparison There is little difference between corrected and uncorrected significant heights and the spectral data fits within the range of both datasets. Figure 3-5; Shows uncorrected and corrected monthly significant heights with spectral data plotted for comparison
  • 23. 15 When plotted against the energy period for the uncorrected dataset, the spectral data falls outside the expected range almost every month. Although this is possible, it is unlikely as in other regions of the UK, 2015 was a normal year (Met Office, 2016b#). The original validation study showed that the hindcast data consistently underestimates the energy period, this can also be seen here. However, when hindcast data has been corrected there is a very strong correlation between the energy periods calculated from the spectrum and the hindcast energy periods. Figure 3-6; Shows uncorrected and corrected monthly energy periods with spectral data plotted for comparison The results from SWRDA, 2004, determined that the average power for exposed locations around the Isles of Scilly is approximately 38kW/m. This fits extremely well with the spectral data and the corrected hindcast dataset. However, the uncorrected dataset provides an average wave power of only 29kW/m, which is well below what is expected. 3.4 Conclusion Unfortunately, as there is no freely available buoy data in the region that covers the hindcast period, it is difficult to correlate the dataset. However, based on the spectral data, validation from the original study and results from the SWRDA assessment, it is clear that the uncorrected datasets consistently underestimate Tm-10 and underestimate Hm0 for larger waves. Therefore, the resource assessment will be carried out using only the corrected hindcast dataset. It is worth noting here that corrected data may still contain errors and should be used as a guide only and not the final assessment for any WEC developments.
  • 24. 16 4 Wave Resource 4.1 Intro This section aims to quantify and analyse the available wave resource and study the temporal, directional and spatial variation around the Isles. 4.2 Method Characterization of the wave energy resource is achieved by analysing the corrected 23-year hindcast dataset. Matlab has been used for all data analysis as it is a powerful tool for grouping and presenting data in a number of ways. Due to the geographical proximity of a number of the hindcast locations, full results will not be presented for all locations in the main body of text, summary tables with all locations included will be shown where necessary. 4.2.1 Joint OccurrenceTables, Energy Yield and Power Calculations First data is binned into pairs of Hm0 and Tm-10 representing different sea states. This allows for all 201,600 hourly data points at each location to be categorized within a defined number of Hm0 and Tm-10 pairs. Hm0 and Tm-10 were originally binned in 0.5m and 0.5s intervals respectively. However, the tables created were too large for display and the intervals have been doubled to 1m and 1s. Joint occurrence tables were then created showing the number of data points that fall within each bin. From this it is possible to work out the number of hours each year that each sea state is likely to occur by calculating the probability of each bin occurring and multiplying 8,760. By multiplying the hours of occurrence each year by the power available per meter of wave for each sea state, it is then possible to calculate the average annual energy generated per meter of wave over a one-year period at each location. Both the hours of occurrence each year and the energy generated for each sea state are shown in Figures 4.3 to 4.6. Only locations 1 and 4 will be shown in full in the main body of text as they represent the minimum and maximum power resource around the Isles, tables for all other locations have been included in the appendix. This allows WEC developers to establish whether the wave resource suits their needs and if their device will be best placed to utilise the available energy yields at a given location.
  • 25. 17 As spectral data is not available at the hindcast locations, the omni-directional power can be calculated using Hm0 and Tm-10 with the approximation equation 4.1. Cg is calculated as a function of the Tm-10 and water depth. There can be a slight error with the approximation equation which can typically underestimate the power resource by 1 -3%, (Robertson et al., 2016); (4.1) The available power per meter of wave for each sea state has been calculated using equation 4.1, and results are shown in Figure.4.1. The mean power per meter of wave at each hindcast location was found by calculating the power for each hourly time step at each location, using equation 4.1, and taking the mean. Figure 4-1; Power per meter of wave for each sea state 4.2.2 Temporal Variation In order to assess the feasibility of using wave power to meet the Isles energy demands, it is important to understand the temporal variations in the available resource. Data has been analysed on monthly, seasonal and annual time periods. Again, only locations 1 and 4 have been shown as they represent the minimum and maximum power resource around the Isles. 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 0.3 0.4 0.6 0.7 0.8 0.9 1.0 1.2 1.3 1.4 1.5 1.7 1.8 1.9 1.5 2.8 3.9 5.0 6.1 7.2 8.3 9.4 10.5 11.6 12.7 13.9 15.0 16.1 17.2 2.5 7.7 10.8 13.9 16.9 20.0 23.1 26.2 29.2 32.3 35.4 38.5 41.6 44.6 47.7 3.5 15.1 21.1 27.2 33.2 39.2 45.3 51.3 57.3 63.4 69.4 75.4 81.5 87.5 93.5 4.5 24.9 34.9 44.9 54.9 64.8 74.8 84.8 94.7 105 115 125 135 145 155 5.5 37.2 52.1 67.0 81.9 96.8 112 127 142 156 171 186 201 216 231 6.5 52.0 72.8 93.6 114 135 156 177 198 218 239 260 281 302 323 7.5 69.3 97.0 125 152 180 208 235 263 291 319 346 374 402 429 8.5 89.0 125 160 196 231 267 302 338 374 409 445 480 516 552 9.5 111 156 200 244 289 333 378 422 467 511 556 600 645 689 10.5 136 190 244 299 353 407 462 516 570 624 679 733 787 842 11.5 163 228 293 358 423 489 554 619 684 749 814 879 944 1010 12.5 192 269 346 423 500 577 654 731 808 885 962 1039 1116 1193 Te (s)Location 1 Mid Bin Hmo (m)
  • 26. 18 This has been done by studying the following;  Time series of wave power over the 23-year period.  Monthly averages over the 23 year hindcast period.  Minimum, maximum and mean monthly averages throughout the year.  Variations in the mean annual power.  Seasonal variations in wave power. 4.2.3 Directional Analysis The prevailing wave direction is represented using wave roses to show the frequency of occurrence of waves from all directions. A wave rose for locations 1, 2, 3 and 4 have been presented in Figure.4.20. Wave roses for all other locations are attached in the Appendix but have not been shown in the main body of text as they are very similar to location 4. Wave roses taken from locations around the Isles have been superimposed on a map to show the directional variation as waves move around the Isles. Hindcast data has been binned into directional groups of 45 degree intervals to analyse the variation in wave power from each direction. Joint occurrence tables showing the number of hours each sea state occurs have been produced for all directional bins at location 4. Location 4 has been chosen as it the most exposed site and represents waves that have not been affected by any obstructions. 4.2.4 Spatial Variation SWAN software has been used to analyse the spatial variation around the Isles. The model covers the area from 6.5 to 6.1 degrees west and 49.7 to 50.1 degrees north, shown in Fig.4.22, and uses the bathymetry data shown in Fig.3.1, (Digimaps, 2005). The model results have been output every 0.005 degrees, approximately every 550 meters, creating an 81 x 81 grid. Results were also recorded at buoy locations for reference. Default settings have been used except for the adjustments to whitecapping formulae as used in the original hindcast study.
  • 27. 19 A smaller joint occurrence table was created for Hindcast Location 4, with Tm-10 binned in two second intervals. The model was run for all 44 sea states that occur at Hindcast Location 4, shown in Fig.4.2. The modelled boundary conditions for each sea state were set so the significant height and energy period at Hindcast Location 4 were as close to the mid bin values, shown in Fig.4.2, as possible. This was done through an iterative process making small changes to input boundary conditions. Wave direction and wave spread input conditions were found by taking the mean values for all data points within bin ranges. Figure 4-2; Condensed table showing hours occurrence each year of each sea state at location 4 The significant height and energy period were recorded at each output location. This was then used to calculate the power at each location for each sea state. As the results were also recorded at buoy locations the number of hours each sea state occurred is known. I.e. if the results at location 4 showed a significant height of 3.5m and an energy period of 10 seconds, by referencing the joint occurrence table it is shown how many hours each year that sea state occurs. This method serves as an approximation only as positive and negative bias within each bin is unaccounted for. The mean power at each grid point was then plotted to create a thematic map showing the spatial variation across the Isles. Mid Bin 2 4 6 8 10 12 14 16 0.5 1 269 415 106 1 0 0 0 1.5 0 81 1821 1280 227 7 0 0 2.5 0 0 302 1308 527 76 1 0 3.5 0 0 0 559 478 103 4 0 4.5 0 0 0 113 418 97 8 0 5.5 0 0 0 1 224 79 8 0 6.5 0 0 0 0 71 71 5 0 7.5 0 0 0 0 6 51 5 0 8.5 0 0 0 0 0 22 2 0 9.5 0 0 0 0 0 5 2 0 10.5 0 0 0 0 0 1 1 0 11.5 0 0 0 0 0 0 1 0 12.5 0 0 0 0 0 0 0 0 Te (s) Hmo (m)
  • 28. 20 4.2.5 Spectral Analysis The spectral data from the WaveNet buoy has been used to analyse the sea states around the Isles. All sea states have been binned into Hm0 and Tm-10 pairs and the mean spectrum for each sea state has been plotted with frequency on the x-axis and energy density on the y- axis. This shows the occurrence of swell and wind waves. As there is only a limited amount of spectral data, not all sea states have been plotted. Only sea states which occur over 100 times have been plotted to ensure the mean is representative. As only the mean values have been plotted the full variety of sea states is not shown. The spectral data has also been binned by direction to analyse the variety the waves that approach from various directions. As individual sea states are made up of waves from a variety of directions, data has been plotted as a scatter diagram of frequency against spectral density.
  • 29. 21 4.3 Results 4.3.1 Joint OccurrenceTables and AnnualEnergy Yield Location 1 Location 1 is the most sheltered of the 12 hindcast locations, with significant heights only exceeding 2.5m for 2% of the year, and never exceeding 6m over the 23 year hindcast period. The most commonly occurring sea states are between 0-1m and 4-6s. However, the majority energy available throughout the year occurs from sea states between 1-3meters and 5-10seconds. The total energy available per meter of wave each year is on average 60.5MWh Figure 4-3; Hours occurrence each year of each sea state at location 1 Figure 4-4; Annual energy generated per meter of wave for each sea state at location 1 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 7 252 1,213 1,412 838 292 80 24 8 2 0 0 0 0 1.5 0 0 118 988 1,141 859 399 137 33 10 1 0 0 0 2.5 0 0 0 4 199 213 188 114 37 6 1 0 0 0 3.5 0 0 0 0 0 46 40 42 19 7 1 0 0 0 4.5 0 0 0 0 0 0 15 8 5 1 0 0 0 0 5.5 0 0 0 0 0 0 0 1 0 1 0 0 0 0 6.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Location 1 Mid Bin Hmo (m) Te (s) 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 2 109 672 956 671 269 84 27 11 2 0 0 0 0 1.5 0 1 587 6,024 8,215 7,141 3,759 1,437 382 132 13 0 0 0 2.5 0 0 0 71 3,975 4,918 4,909 3,324 1,198 212 32 0 0 0 3.5 0 0 0 0 15 2,068 2,028 2,396 1,211 458 43 0 0 0 4.5 0 0 0 0 0 20 1,234 790 519 159 0 0 0 0 5.5 0 0 0 0 0 0 0 178 41 171 32 0 0 0 6.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Hmo (m) Te (s)Location 1 Mid Bin
  • 30. 22 Location 4 Location 4 is subject to larger waves, the most commonly occurring waves are between 1-2 meters and 6-7 seconds. Larger waves often hit location 4, with Hm0 exceeding 10m for a few hours each year on average. Due to the larger waves present, a large proportion of the available energy per meter occurs during more aggressive sea states. Figure 4-5; Hours occurrence each year of each sea state at location 4 Figure 4-6; Annual energy generated per meter of wave for each sea state at location 4 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 1 49 220 224 190 90 16 1 0 0 0 0 0 0 1.5 0 0 81 694 1,127 809 470 180 47 7 1 0 0 0 2.5 0 0 0 1 301 734 573 344 183 65 11 1 0 0 3.5 0 0 0 0 0 136 423 312 166 80 23 3 1 0 4.5 0 0 0 0 0 0 113 276 142 72 25 6 2 0 5.5 0 0 0 0 0 0 1 89 135 60 19 7 1 0 6.5 0 0 0 0 0 0 0 4 68 57 13 5 1 0 7.5 0 0 0 0 0 0 0 0 6 39 12 5 1 0 8.5 0 0 0 0 0 0 0 0 0 10 12 2 0 0 9.5 0 0 0 0 0 0 0 0 0 0 4 2 0 0 10.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 1 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Location 4 Mid Bin Hmo (m) Te (s) 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 0 21 122 152 152 83 17 2 0 0 0 0 0 0 1.5 0 0 405 4,228 8,120 6,726 4,430 1,898 545 83 11 0 0 0 2.5 0 0 0 18 6,030 16,954 14,997 10,072 5,904 2,298 420 29 0 0 3.5 0 0 0 0 12 6,146 21,716 17,900 10,529 5,532 1,750 227 65 0 4.5 0 0 0 0 0 13 9,603 26,131 14,875 8,283 3,088 819 320 0 5.5 0 0 0 0 0 0 143 12,608 21,181 10,259 3,577 1,311 291 0 6.5 0 0 0 0 0 0 0 722 14,782 13,695 3,504 1,379 170 0 7.5 0 0 0 0 0 0 0 0 1,795 12,390 4,274 1,690 244 75 8.5 0 0 0 0 0 0 0 0 49 4,196 5,180 1,044 90 0 9.5 0 0 0 0 0 0 0 0 0 222 2,414 939 0 0 10.5 0 0 0 0 0 0 0 0 0 0 649 956 0 0 11.5 0 0 0 0 0 0 0 0 0 0 283 802 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 181 0 0 Hmo (m) Te (s)Location 4 Mid Bin
  • 31. 23 Summary Information The wave resource around the Isles varies considerably. The west of the Isles is exposed to many more extreme conditions, whilst Location 1 on the east rarely sees severe conditions. Although only locations 1 and 4 have been shown in full, the other locations experience conditions somewhere in between. Table 4-1; Summary statistics for all location Location Mean Power (kW/m) Mean Hm0 (m) Mean Tm-10 (s) Annual Energy Yield (MWh/m) 1 6.7 1.18 6.33 60.5 2 10.7 1.32 6.69 96.1 3 30.9 2.26 7.90 273.9 4 37.5 2.44 7.96 331.8 5 31.5 2.26 7.84 279.4 6 31.7 2.24 7.94 280.7 7 21.1 1.80 7.90 188.1 8 23.6 1.94 7.85 209.7 9 36.6 2.41 7.91 324.2 10 34.7 2.35 7.89 308.1 11 34.0 2.35 7.84 301.6 12 33.4 2.35 7.78 295.6 4.3.2 Temporal Variation Time Series of WavePower The time series at both locations highlights the variability in the wave resource. Fluctuations can vary from 0 to over 30 times the mean power. Location 4 regularly experiences peaks of over 500 kW/m and on one occasion the power per meter of wave reached over 1000kW. Whilst location 1 does not experience the same extreme conditions fluctuations are as large proportionally.
  • 32. 24 Figure 4-7; Time series of power at location 1 Figure 4-8; Time series of power at location 4
  • 33. 25 Monthly AveragesthroughouttheHindcastPeriod Monthly averages have been plotted in order to smooth the extreme fluctuations presented in the time series. However, monthly power averages still fluctuate from 2kW/m to 23kW/m at location 1 and 4kW/m to almost 200kW/m at location 4. Figure 4-9; Monthly averages over hindcast period at location 1 Figure 4-10; Monthly averages over hindcast period at location 4
  • 34. 26 Variation of Monthly Averages Powerper Meter of Wave Fig.4.11 highlights the monthly variation of the wave resource. At location 4 the monthly mean in July is on average 10.7kW/m, almost 8 times lower than the 82.7kW/m mean in January. Some years there is a factor of 10 difference between summer months and winter months. Figure 4-11; Minimum, maximum and mean monthly average power per meter of wave SignificantHeight The monthly variation in significant height follows a similar pattern to the monthly variation in power. However, as power is proportional to Hm0 2, the fluctuations are less extreme. The mean significant height in July is half the size of January. Figure 4-12; Minimum, maximum and mean monthly average significant height
  • 35. 27 Energy Period The energy period varies less drastically than the power per meter of wave and significant height. However, there is a clear reduction of approximately 20% throughout the year. Figure 4-13; Minimum, maximum and mean monthly average energy periods AnnualVariation As well as monthly variations, there is also a large annual variation in the wave resource. Mean power can vary significantly from one year to the next. At location 4 the annual mean power varies from 23kW/m to 48kW/m. Figure 4-14; Annual mean power over hindcast period
  • 36. 28 4.3.2.1 Seasonal Variation Comparison of winter months, (October to March), and summer months, (April to September), further shows temporal variation. Figure 4-15; Seasonal variation at location 1 Figure 4-16; Seasonal variation at location 14
  • 37. 29 4.3.3 Directional Analysis The wave roses presented in Fig.4.20 show that the prevailing wave direction is due west. At location 4, 79% of waves approach the Isles from in between 225 to 315 degrees. The Isles act as a barrier causing diffraction to occur as the waves wrap around the Isles, as shown by Fig.4.21. The joint occurrence tables show that no large waves propagate from between 0- 180 degrees. Figure 4-17; Hourly occurrence of sea states from 0-180 degrees
  • 38. 30 Figure 4-18; Hour occurrence table of sea states between 180-360 degrees Mid Bin 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 0.5 0 0 4 13 5 0 0 0 0 0 1.5 0 0 2 53 67 29 4 0 0 0 2.5 0 0 0 0 36 37 17 3 0 0 3.5 0 0 0 0 0 12 19 5 0 0 4.5 0 0 0 0 0 0 11 4 0 0 5.5 0 0 0 0 0 0 0 3 1 0 6.5 0 0 0 0 0 0 0 0 1 0 7.5 0 0 0 0 0 0 0 0 0 0 180-225 Degrees Hmo (m) Te (s) Mid Bin 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 0 0 6 33 63 37 8 0 0 0 0 0 0 0 1.5 0 0 5 146 384 332 196 67 25 3 0 0 0 0 2.5 0 0 0 0 115 367 311 180 74 25 4 0 0 0 3.5 0 0 0 0 0 76 254 185 104 43 7 0 0 0 4.5 0 0 0 0 0 0 64 178 94 43 16 4 1 0 5.5 0 0 0 0 0 0 1 62 92 41 10 5 1 0 6.5 0 0 0 0 0 0 0 3 44 38 7 3 1 0 7.5 0 0 0 0 0 0 0 0 5 24 9 3 1 0 8.5 0 0 0 0 0 0 0 0 0 7 8 1 0 0 9.5 0 0 0 0 0 0 0 0 0 0 3 1 0 0 10.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 225-270 Degrees Hmo (m) Te (s) Mid Bin 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 0.5 0 0 13 62 99 52 9 1 0 0 0 0 0 1.5 0 0 5 141 369 365 262 113 22 3 1 0 0 2.5 0 0 0 0 69 228 215 160 108 40 7 0 0 3.5 0 0 0 0 0 36 121 117 61 36 16 3 1 4.5 0 0 0 0 0 0 28 87 47 29 9 2 1 5.5 0 0 0 0 0 0 0 21 42 18 9 2 0 6.5 0 0 0 0 0 0 0 0 22 19 6 1 0 7.5 0 0 0 0 0 0 0 0 1 14 4 2 0 8.5 0 0 0 0 0 0 0 0 0 4 4 1 0 9.5 0 0 0 0 0 0 0 0 0 0 1 0 0 10.5 0 0 0 0 0 0 0 0 0 0 0 1 0 11.5 0 0 0 0 0 0 0 0 0 0 0 1 0 270-315 Degrees Hmo (m) Te (s) Mid Bin 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 0.5 0 0 23 57 18 0 0 0 0 0 1.5 0 0 4 119 174 63 8 0 0 0 2.5 0 0 0 0 39 68 24 2 0 0 3.5 0 0 0 0 0 9 23 4 1 0 4.5 0 0 0 0 0 0 8 7 1 0 5.5 0 0 0 0 0 0 0 2 1 0 6.5 0 0 0 0 0 0 0 0 1 0 Hmo (m) 315-360 Degrees Te (s)
  • 39. 31 Table 4. Shows that the most powerful waves come from between 225 to 250 degrees, these waves have travelled directly across the Atlantic and can bring powerful storms and large swell waves. Table 4-2; Summary table of power by direction
  • 40. 32 WaveRose Wave roses for all locations except locations 1 and 2 show that the prevailing wave direction is due west. Figure 4-19; Wave rose for locations 1-4
  • 41. 33 Figure 4-20; Map with wave roses superimposed
  • 42. 34 4.3.4 Spatial Variation The results from the SWAN model have been plotted in Fig.4.22. The mean power increases to the west of the Isles as the water depth increases. There is little variation between locations 4 to 12, except locations 7 and 8 which are closer to land. Figure 4-21; Spatial variation of mean power
  • 43. 35 4.3.5 Spectral Analysis The peak frequency for the smallest waves is over 0.2 Hz, showing that these smaller waves are wind driven waves. Whilst the larger, more powerful waves with a frequency of 0.1Hz and below are swell driven waves. Figure 4-22; Spectral data plotted for each Hm0 and Tm-10 pair
  • 44. 36 The most energetic frequencies for waves coming from between 0-180 degrees is close to 0.2Hz. For waves approaching from 180-360 degrees the most energetic frequencies are closer to 0.1Hz and for waves between 225-315degrees the most energetic frequencies are below 0.1Hz. Figure 4-23; Spectral data plotted by direction
  • 45. 37 4.4 Conclusion There is a large temporal variation of the available wave power resource around the Isles. There can be a factor of 10 difference in the average power per month within the same year. Locations 1 and 4 represent the maximum and minimum wave resources with all other locations experiencing conditions in between. The majority of waves approach the Isles from the west, with the largest waves approaching from between 225-270 degrees. Therefore, the south-west of the Isles has the largest wave power resource and experiences the most extreme wave conditions. Waves with a significant of up to 20m may occur within a 100-year period. To the east of the Isles remains sheltered and has a relatively small wave power resource. Spectral analysis confirms that any waves approaching from between 0-180 degrees are small wind waves. Whilst waves approaching from 180-360 are predominantly swell waves with the most energetic waves approaching from 225-315 degrees. This supports the hindcast data.
  • 46. 38 5 Extreme Wave Analysis 5.1 Intro Modelling extreme wave conditions is vital for the design and operation of WEC’s. Any devices and moorings should be designed to withstand the most severe conditions. This section aims to quantify the most extreme waves that may occur in each location within a 100-year period and analyse the frequency and severity of storm conditions. 5.2 Method 5.2.1 Extreme Value Analysis and the 100-Year Wave A number of methods and techniques exist for the statistical analysis of extreme values within a dataset. Extreme value distributions can be used to analyse the tail of a parent distribution. In this instance the parent distribution is the significant heights at hindcast locations. The distribution of significant heights at location 4, with a mean of 2.44 and standard deviation of 1.42, has been plotted. There are two main methods for characterising and extracting extreme values. The first is the block maxima approach. This approach takes the length of study, and divides into equally spaced blocks and extracts the maximum values from each block. The block maxima are then fitted to their own distribution. The second approach, which tends to be the more popular approach, is the Peaks over Threshold, (POT), method. A threshold is set, and all data points above the threshold are extracted and can also be characterised by their own distribution. Each approach has a specific distribution that can be used to characterise how the data would converge. The block maxima technique fits the generalised extreme value, (GEV), distribution. Whilst the POT technique should be used with the generalised Pareto distribution, (GPD), (Rootzen and Tajvidi, 2006). Due to the large temporal variation and Figure 5-1; Frequency distribution of significant heights at location 4
  • 47. 39 limited data collected by the block maxima approach, the POT method fitted with the GPD has been used. There are a number of methods for estimating the unknown parameters of extreme value distributions. The most commonly used are: probability weighted moments, (e.g. Hosking et al. 1985), maximum likelihood, (e.g. Coles, 2001), and Bayesian methods, (Coles, 2001 and Cooley et al. 2007). Due to the software used for analysis the probability weighted moments methods has been used. For more detail into the general methodology of statistical extreme value analysis the following texts are of use; Coles, 2001, Beirlant et al. 2004, Hann and Ferreira, 2006. Extreme wave analysis was conducted for all locations. However, only locations 1 and 4 are shown in the main text, as they represent the most sheltered and exposed sites around the Isles. All significant heights above a threshold were extracted from the hindcast data set and modelled as an independent distribution. Data points were extracted so that two values were never taken within the same 48-hour period, this allowed for each data point to represent independent storms and stops particularly violent storms from dominating results. The threshold hold was set using the WAFO toolbox, based on the dispersion index, (variance to mean ratio), and mean residual life, (mean exceedance over threshold). WAFO ensures that there is enough data for the extreme values to be fitted to the GPD, but not too many that the tail of the new distribution again creates uncertainty. The thresholds for Hindcast Locations 1 and 4 were 4.05m and 7.2m respectively. The software was used to calculate the extreme significant heights that may occur at each location within a 100-year period, with a 95% confidence bound, known as the 100-year wave. 5.2.2 StormAnalysis As well as using the WAFO toolbox, extreme conditions that occur over the 23-year hindcast period have analysed. The number of 48 hour periods where wave conditions exceeded 100 kW/m and Hm0 exceeded 5m at locations 1 and 4 have been calculated and the most extreme sea states that occur each year at locations 1 and 4 have been plotted. A summary
  • 48. 40 table of most powerful waves experienced at each location over the 23 year hindcast period has also been produced. The spatial variation around the Isles during storm conditions has also been plotted using SWAN software. All sea states at Hindcast Location 4 with a power per meter of wave over 300 kW have been grouped together and studied to find the mean direction, energy period and significant height. Hindcast Location 4 has again been used as its exposed location means that it is subject to the largest storms and greatest significant heights. This data has been used as the input for a SWAN model. The model covers, and is set up as in section 4.24 with different input parameters. Model results have then been plotted to highlight areas that are significantly influenced by extreme wave conditions. 5.3 Results 5.3.1 100-Year Wave Figures 5.2 and 5.3 show the results from the WAFO analysis. Data is summarised in Table.5.1. As a general rule, the maximum height of a wave is approximately twice as high as Hm0, (NOAA, 2016). Therefore, at Hindcast Location 4, observed heights of 30-40m may occur within a 100-year time frame. This should be considered for in the design of any WEC and mooring systems. However, the 95% confidence bounds show the increasing uncertainty of predicting of predicting wave heights for larger return periods. On the other hand, Hindcast Location 1 is subject to far less extreme conditions. Over a 100- year period significant heights of 8m may occur. This equates to a Hmax of approximately 16m, less than halve the 100-year Hmax at Hindcast Location 4. This shows the variability around the Isles and indicates the sheltered environment to the east of the Isles.
  • 49. 41 Figure 5-2; Extreme significant heights with 95% confidence bounds at location 1 Figure 5-3; Extreme significant heights with 95% confidence bounds at location 4
  • 50. 42 5.3.2 StormAnalysis Over the 23-year hindcast period, the power per meter wave at Location 4 exceeds 100kW for 760 48-hour periods, whilst for 565 of those Hm0 is greater than 5m. This suggests that on average there are nearly 26 isolated occasions each year of violent conditions with Hmax exceeding 10m. At location 1 there is only 21 occasions over the hindcast period where conditions exceeded 100kW/m. Of those only 7 had a significant height of over 5m. Fig.5.4 shows the most powerful sea states that occur each year over the hindcast period at Locations 1 and 4. The most powerful sea state experienced at Location 1 was 197 kW/m, at Location 4 a sea state of 1040 kW/m was recorded in December 1989. Figure 5-4; Most energetic sea states recorded each year throughout the hindcast period Fig.5.5 shows the largest value of Hm0 recorded each year. Most years at Location 4 Hm0 reaches over 8m, this is similar to the worst case predicted 100-year wave at Location 1.
  • 51. 43 Figure 5-5; Largest significant heights recorded each year throughout the hindcast period Table 5-1; Summary table of extreme conditions experienced at all locations Hindcast Location Maximum Power Recorded Over Hindcast Period (kW/m) Maximum Significant Height Recorded Over Hindcast Period (m) Significant Height of 1 in 100 Year Wave (m) 1 196 5.91 8.0 2 640 9.90 17.1 3 840 11.4 18.4 4 1040 12.5 19.8 5 795 11.0 18.5 6 805 11.0 18.7 7 636 9.80 14.9 8 653 10.0 16.3 9 901 11.7 17.2 10 870 11.5 18.1 11 855 11.4 19.5 12 840 11.3 18.6
  • 52. 44 5.3.3 Spatial Variation during Storm Conditions There are 1792 hourly readings with a power density of over 300kW/m. The mean direction of these powerful waves is 253 degrees with an average Hm0 of 7.13m and an average Tm-10 of 11.84s. Boundary conditions for the SWAN model have been found through an iterative process and set so these parameters are present at Location 4. Fig.5.6 shows the spatial variation in power during storm conditions around the Isles. Figure 5-6; Spatial variation during extreme conditions The most powerful waves come from between 2225-270 degrees, as shown in Table 4.2, therefore it is generally the South-West of the Isles that is most heavily effected from severe conditions.
  • 53. 45 5.4 Conclusion The North and North-East of Isles are slightly sheltered during severe conditions. To the East of the Isles remains protected throughout intense storms. The 100-year wave at Location 1 is smaller than waves that regularly occur at Location 4, again showing the variability around the Isles. Waves with in an observed height, (Hmax), may reach 30-40m at exposed locations. Any wave energy devices installed in the more energetic areas will have to withstand huge forces and waves over 1MW/m.
  • 54. 46 6 Local Constraints 6.1 Introduction As well as simply considering the wave climate around the Isles, it is necessary to study possible local constraints and influences that may affect the installation of WEC’s. This section aims to look at local grid and infrastructure constraints, as well as briefly exploring the environmental constraints presented from such a biologically diverse area. Data has been collected from the following sources; Table 6-1; Local constraint data sources Data Type Source 1:50,000 and 1:250,000 Rasta OS Maps DigiMaps, (DigiMaps, 2005) Bathymetry Data DigiMaps, (DigiMaps, 2005) Geological Survey DigiMaps, (DigiMaps, 2005) GIS Cultural/Historic Designations Historic England GIS Environmental Constraints and Designation Boundaries Natural England Available Substation Capacity WPD, Generation Capacity Map, (WPD, 2016) 6.2 Constraints 6.2.1 Infrastructureand Grid constraints Large projects may be influenced by the ability to secure a grid connection. St Mary’s, Tresco and St Martins are on a shared distribution network loop, allowing supply to be back- fed if there is an issue with the supply cables. Bryher and St Agnes are on spurs from this loop, and the lack of opportunity to back feed has required the two local back up power stations. (Isles of Scilly Council, 2014). Substations on the Islands of St Martins, and Tresco, have limited available capacity of between 300-450kW, as shown by the Generation Capacity Map provided by WPD. Substations on the Island of St Agnus have an available capacity of up to 1MW, however, as St Agnus and Bryher are on spurs from the main distribution network it is likely that any developments connected on these Islands will require infrastructure upgrades. Substations on the larger island of St Mary’s have an available capacity of up to 5MW. This may impact
  • 55. 47 on the location of future WEC’, as upgrading infrastructure or installing long subsea cables can add significant costs to projects. Figure 6-1; Available substation capacity on Bryher and St Martins As aforementioned, the subsea cable can be used to back-feed 4MW to the mainland if required. This rarely occurs and at the moment this would primarily be from the 5.7MW power station on St Mary’s, during times of blackout. However, this does represent an opportunity for any renewable energy developments. The cable is due to be replaced and it is unknown the size and capacity of any future installation. However, the Isles may consider increasing the capacity to back-feed as this will limit the capacity of developments for the duration of the 25-50year lifetime of the new cable, estimated replacement costs of £25million mean there is little opportunity to upgrade at a later date. Figure 6-2; Available substation capacity at St Mary's
  • 56. 48 6.3 Environmental Impact Wave energy conversion projects may conflict with existing ocean uses or strategies for protecting marine species and habitats’, (Kim et al. 2012). Before any projects can commence it is first essential to assess any impacts on the natural environment and surrounding areas. These impacts will be considered in three categories; physical, biological and social impacts. 6.3.1 Physical This section refers to any changes that may occur to the physical landscape such as sedimentary movement. The Isles and surrounding offshore area are composed of granite rock that dates back 300 million years. The granite bedrock has created a unique environment and a number of ‘Rocky Reefs’. Figure 6-3; Geological survey 6.3.2 Biological The waters surrounding the Isles are a biologically diverse ecosystem of European and international importance. The whole of the Isles have been a designated Special Area of Conservation since 2000, in compliance with the EC Habitats Directive. The main reason for the designation is the presence of Annex 1 habitats, including a number of ‘Rocky Reefs’, (Natural England, 2013). As well as the entire region being an SAC, there are a number of individual Marine Conservations Zones, (MCZ’s). The maps below highlight the marine
  • 57. 49 designations and areas with a high concentration of marine species and habitats. A thematic map showing the mean annual power has been superimposed to show the location of marine designations in relation to the available power resource. Unfortunately as the projection systems used differ between the OS map, (National Grid coordinate system), and the thematic map, (degrees latitude and longitude), the combined image has been slightly squashed. Figure 6-4; Marine designation and marine species and habitat concentrations
  • 58. 50 Figure 6-5; Mean annual power and marine designations 6.3.3 Social In addition to the diverse marine habitats and species the Isles are a designated Area of Natural Beauty, Conservation Area, and the entire coastline is designated Heritage Coast. The Isles of Scilly have the highest density of scheduled monuments, (238 monuments with over 900 archaeological sites), in the UK and numerous protected ship wreck sites. The Isles rely heavily on tourism throughout the year, accounting for 83% of the economy with over 100,000 visitors per annum. It is therefore essential that any developments do not impinge on tourist hotspots or take away from the natural beauty that tourists expect.
  • 59. 51 7 Conclusion The Isles of Scilly experience the most energetic sea-states in the south-west. The annual average power reaches nearly 38kW/m to the South West of the Isles. However, there is a large temporal and spatial variation around the Isles. Some years the mean power during summer months can be a factor of 10 less than during winter months and to the east of Isles annual average power can be as low as 3-5kW/m. Although there is an abundant wave power resource around the Isles of Scilly, the unique character, isolation and biodiversity of the area creates some problems for the installation of WEC’s. Locations 5 to 12 are situated in less biologically diverse waters outside of any conservation zones. However, improvements are required to the existing infrastructure with limited available capacity on the smaller Islands. The granite bedrock means unique mooring solutions will be required, consisting of rock bolts or piled foundations. The nature of the Isles means that any developments will be heavily scrutinised and the environmental impact will rigorously assessed. This has been proven by the slow consent process for the wave energy project proposed by 40 South Energy in 2013. The temporal variation suggests that wave power alone will not be sufficient to meet all of the Isles electricity demand. To cover peak demand of 4.5MW in the summer months would require huge developments that would produce 45-50MW during the winter months, unless large energy storage techniques were applied. Currently the subsea cable can back-feed 4MW to the mainland, this limits generation capacity as surplus generation will be unable to be exported during times of low demand on the Isles. Many locations will require the upgrade of insisting infrastructure. Small developments could be spread around the Isles in order to connect to multiple substations. However, as Bryher and St Agnes are on spurs from the main distribution network, upgrades to the network would be necessary in order to back-feed electricity to the other Islands and to the mainland. The most energetic sea states approach the Isles from between 225-270 degrees. To the north and north-by-north-east of the Isles remain slightly sheltered during extreme conditions. However, mean power is not significantly reduced.
  • 60. 52 It is difficult to define ideal locations for WEC’s as there is a wide variety of different wave energy devices, with the industry yet to consolidate on a single design. Different designs and operating principles generally perform better in different conditions. The wide variety of conditions around the Isles will be able to provide a suitable environment for all types. Although less power is available near location 1, the sheltered area may be attractive to some developers.
  • 61. 53 8 Discussion and Limitations Unfortunately limited buoy data around the region creates uncertainty during validation. The corrected hindcast dataset was used as analysis showed results were representative of conditions typically experienced throughout the region. However, as no data within the region is freely available that covers the hindcast period, it is difficult to ascertain complete confidence. Corrected data still contains error. As figure 2.6 shows, the correction factor is based on the best fit between modelled and observed data. Therefore, individual corrected data values still have bias but it is assumed that the positive and negative bias cancel over the total dataset. The errors obtained from the hindcast study are likely due to the coarse resolution of the ECMWF wave boundary and wind input. Hindcast datasets should not be used as a final resource assessment but as an overview of the variation of conditions throughout the modelled region. The correction factors were calculated using simple regression techniques, and more sophisticated techniques could be applied in the future. However, it was deemed appropriate to only display results based on the corrected dataset. Is was considered to display both corrected and uncorrected results, however, this created confusion and the report lost clarity. When modelling extreme wave conditions, removing bias from the dataset does not necessarily remove bias from extreme wave conditions. The quality of the thematic maps showing the spatial variation around the Isles are of a poor resolution and quality. This is largely due to the processing power of the computer used and the inability to deal with high resolution models and outputs. Although there are certain limitations the report does provide a detailed study into the wave resource around the Isles of Scilly. No project previously has assessed the resource in this depth.
  • 62. 54 9 References 40 SouthEnergy,(2016). ScillyAirportWEP| 40South Energy Beirlant,J.(2004). Statisticsof extremes.Hoboken,NJ:Wiley. Brodtkorb,P.,Johannesson,P.,Lindgren,G.,Rychlik,I.,Rydén,J.andSjö,E. (2000). WAFO - a Matlab toolbox foranalysisof randomwavesandloads".Proceedingsof the 10th International Offshore and PolarEngineeringconference,Seattle,.2nded.Vol III,pp.343-350. Cefas,(2016). SW Islesof ScillyWaveNetSite;11 October2014 to 01 April 2018; Cefas - WaveNet. CIOSLEP,(2014). Cornwall andIslesof ScillyLocal Enterprise Partnership.Islesof Scilly:Evidence Base. Coles,S.(2001). An IntroductiontoStatistical Modelingof Extreme Values|StuartColes|Springer. Cooley,D.,Nychka,D.and Naveau,P.(2007). BayesianSpatial Modelingof Extreme Precipitation ReturnLevels.Journal of the AmericanStatistical Association,102(479), pp.824-840. EMEC, (2016). Assessmentof WaveEnergy Resource.Firstpublishedinthe UKinby BSI. Haan, L. and Ferreira,A.(2006). Extreme value theory.New York:Springer. Hasselmannetal,,S.(1988). The WAM model - A third generationoceanwave predictionmodel. Journal of Physical Oceanography,18,pp.1775-1810. Hosking,J.,Wallis,J.andWood,E. (1985). Estimationof the GeneralizedExtreme-Value Distribution by the Methodof Probability-WeightedMoments.Technometrics,27(3),pp.251-261. Islesof ScillyCouncil,(2014).Infrastructure Plan;Partof the strategicplanfor the Islesof ScillyMay 2014. Islesof ScillyCouncil,(2007). A Sustainable EnergyStratergy;PlanningandDevelopment.. (Kimetal.2012) Kim,C.,Toft,J. Catchingthe Right Wave:EvaluatingWave EnergyResourcesand Potential CompatibilitywithExistingMarine andCoastal Uses.PLoSONE,7(11), p.e47598. Met Office,(2016). StormImogen.[online] MetOffice.Available at: http://www.metoffice.gov.uk/uk-storm-centre/storm-imogen[Accessed25Apr. 2016]. Met Office,(2016)a. Ocean Waves.[online] MetOffice.Available at: http://www.metoffice.gov.uk/research/areas/ocean-forecasting/ocean-waves[Accessed25Apr. 2016].
  • 63. 55 Natural England,(2013). Offshore monitoringof Annex Ireef habitatpresentwithinthe Islesof Scilly Special Areaof Conservation(SAC).ISBN 978-1-78354-036-5. Nieuwkopp-McCall,J.,Smith,H.,Smith,P.andJohanning,L.(2016). Long-termhindcastforWave Hub, Cornwall.Validationandanalysisof modelledresults.Universityof ExeterMarch2012. [online] Available at: http://www.wavehub.co.uk/downloads/Resource_Info/Long_term_hindcast_for_Wave_Hub_Univer sity_of_Exeter_2012.pdf [Accessed23Apr. 2016]. NOAA,(2016). National OceanicandAtmosphericAdministration,SignificantWave Height. Ris,R., Holthuijsen,L.andBooij,N.(1994). A SPECTRAL MODEL FOR WAVESIN THE NEARSHORE ZONE.DelftUniversityof Technology,Departmentof Civil Engineering. Robertson,B.,Bailey,H.,Clancy,D.,Ortiz,J.and Buckham, B. (2016). Influenceof wave resource assessmentmethodologyonwave energyproductionestimates.Renewable Energy,86,pp.1145- 1160. Rootzen,H.and Tajvidi,N.(2006). Multivariate generalizedParetodistributions.Bernoulli,[online] 12(5), pp.917-930. Available at:https://projecteuclid.org/euclid.bj/1161614952 [Accessed21Apr. 2016]. Sanil Kumar,V.and Anoop,T.(2015). Wave energyresource assessmentforthe Indian shelf seas. RenewableEnergy,76,pp.212-219. Sterl,A.,Komen,G.and Cotton,P.(1998). Fifteenyearsof global wave hindcastsusingwindsfrom the EuropeanCentre forMedium-Range WeatherForecastsreanalysis:Validatingthe reanalyzed windsandassessingthe wave climate.J.Geophys.Res.,103(C3),pp.5477-5492. SWRDA,(2004). SouthWestof EnglandRegional DevelopmentAgency.Resources,Constraintsand DevelopmentScenariosforWave andTidal StreamPowerinthe SouthWest of England. Tucker,M. and Pitt,E. (2001). Wavesin oceanengineering,,Elsevier,(Appendix 1). van Nieuwkoop,J.,Smith,H.,Smith,G.andJohanning,L.(2013). Wave resource assessmentalong the Cornishcoast (UK) froma 23-yearhindcastdatasetvalidatedagainstbuoymeasurements. RenewableEnergy,58,pp.1-14. van Vledder,G.,Goda,Y., Hawkes,P.,Mansard,E., Martin, M., Mathiesen,M.,Peltier,E.and Thompson,E.(1994). Case Studiesof Extreme Wave Analysis:A Comparative Analysis.ASCE,[online] pp.978-992. Available at:http://cedb.asce.org/CEDBsearch/record.jsp?dockey=87369 [Accessed23 Apr.2016].
  • 64. 56 10 Appendix 10.1 Joint Occurrence Tables and Annual Yield Hourlyoccurrence table andenergyyieldsforall locationsnotshowninthe mainbodyof text.For each locationthe hourlyoccurrence table isshownfirstfollowedbythe annual energyyieldforeach seastate. 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 121 501 944 1,083 780 358 133 49 8 2 0 0 0 0 1.5 0 0 32 540 967 826 461 182 62 12 2 0 0 0 2.5 0 0 0 1 137 361 335 199 89 23 3 1 0 0 3.5 0 0 0 0 0 41 149 121 69 21 2 0 0 0 4.5 0 0 0 0 0 0 18 48 32 17 2 0 0 0 5.5 0 0 0 0 0 0 0 8 11 5 1 0 0 0 6.5 0 0 0 0 0 0 0 0 2 3 0 0 0 0 7.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Location 2 Mid Bin Hmo (m) Te (s) 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 37 216 523 733 624 331 139 57 10 3 0 0 0 0 1.5 0 0 158 3,289 6,963 6,862 4,340 1,920 725 151 27 1 0 0 2.5 0 0 0 16 2,734 8,325 8,777 5,811 2,874 823 120 25 0 0 3.5 0 0 0 0 2 1,862 7,626 6,919 4,341 1,432 128 25 0 0 4.5 0 0 0 0 0 10 1,532 4,558 3,335 1,939 238 0 0 0 5.5 0 0 0 0 0 0 61 1,076 1,747 841 105 0 0 0 6.5 0 0 0 0 0 0 0 17 541 686 34 0 0 0 7.5 0 0 0 0 0 0 0 0 0 83 60 0 0 0 8.5 0 0 0 0 0 0 0 0 0 0 77 21 0 0 9.5 0 0 0 0 0 0 0 0 0 0 48 183 0 0 10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Hmo (m) Te (s)Location 2 Mid Bin 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 0 7 193 397 301 127 23 2 0 0 0 0 0 0 1.5 0 0 13 526 1,239 951 525 186 48 8 1 0 0 0 2.5 0 0 0 1 233 724 629 379 165 48 8 1 0 0 3.5 0 0 0 0 0 109 411 331 169 63 17 3 0 0 4.5 0 0 0 0 0 0 84 230 154 63 18 4 0 0 5.5 0 0 0 0 0 0 1 60 113 50 15 3 0 0 6.5 0 0 0 0 0 0 0 3 33 39 12 3 0 0 7.5 0 0 0 0 0 0 0 0 3 16 8 1 0 0 8.5 0 0 0 0 0 0 0 0 0 2 3 1 0 0 9.5 0 0 0 0 0 0 0 0 0 0 1 0 0 0 10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Location 3 Mid Bin Hmo (m) Te (s)
  • 65. 57 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 0 3 107 269 241 117 24 2 0 0 0 0 0 0 1.5 0 0 67 3,205 8,921 7,905 4,943 1,963 556 99 14 0 0 0 2.5 0 0 0 24 4,662 16,714 16,453 11,083 5,344 1,706 319 22 0 0 3.5 0 0 0 0 7 4,945 21,058 18,995 10,725 4,366 1,262 265 15 0 4.5 0 0 0 0 0 26 7,117 21,775 16,140 7,271 2,243 509 57 0 5.5 0 0 0 0 0 0 165 8,500 17,606 8,584 2,703 542 9 0 6.5 0 0 0 0 0 0 0 507 7,140 9,306 3,040 757 131 0 7.5 0 0 0 0 0 0 0 0 999 5,108 2,889 260 0 0 8.5 0 0 0 0 0 0 0 0 49 978 1,508 501 0 0 9.5 0 0 0 0 0 0 0 0 0 22 507 235 0 0 10.5 0 0 0 0 0 0 0 0 0 0 88 96 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 153 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Hmo (m) Te (s)Location 3 Mid Bin 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 26 154 275 271 224 99 17 1 0 0 0 0 0 0 1.5 0 0 88 629 1,104 867 533 207 53 7 1 0 0 0 2.5 0 0 0 1 233 687 590 383 201 64 9 0 0 0 3.5 0 0 0 0 0 92 391 340 185 81 24 4 1 0 4.5 0 0 0 0 0 0 66 231 149 66 20 7 1 0 5.5 0 0 0 0 0 0 0 44 116 54 16 5 0 0 6.5 0 0 0 0 0 0 0 1 38 47 10 4 0 0 7.5 0 0 0 0 0 0 0 0 1 20 8 2 0 0 8.5 0 0 0 0 0 0 0 0 0 2 6 1 0 0 9.5 0 0 0 0 0 0 0 0 0 0 1 0 0 0 10.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Location 5 Mid Bin Hmo (m) Te (s) 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 8 66 152 183 179 91 17 1 0 0 0 0 0 0 1.5 0 0 437 3,831 7,949 7,203 5,022 2,183 616 90 17 0 0 0 2.5 0 0 0 12 4,666 15,865 15,443 11,206 6,501 2,281 353 13 0 0 3.5 0 0 0 0 5 4,178 20,067 19,464 11,732 5,587 1,842 301 49 0 4.5 0 0 0 0 0 3 5,581 21,845 15,562 7,585 2,503 889 176 0 5.5 0 0 0 0 0 0 39 6,193 18,122 9,187 3,035 944 94 0 6.5 0 0 0 0 0 0 0 137 8,288 11,303 2,645 1,208 131 0 7.5 0 0 0 0 0 0 0 0 379 6,410 2,904 666 52 0 8.5 0 0 0 0 0 0 0 0 0 960 2,513 522 0 0 9.5 0 0 0 0 0 0 0 0 0 22 700 183 0 0 10.5 0 0 0 0 0 0 0 0 0 0 354 701 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Hmo (m) Te (s)Location 5 Mid Bin
  • 66. 58 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 16 86 306 355 289 136 27 2 0 0 0 0 0 0 1.5 0 0 15 525 1,064 898 577 236 63 8 1 0 0 0 2.5 0 0 0 0 203 647 576 399 220 69 10 0 0 0 3.5 0 0 0 0 0 81 373 338 194 87 26 3 1 0 4.5 0 0 0 0 0 0 63 227 150 71 21 7 1 0 5.5 0 0 0 0 0 0 0 44 115 55 16 5 0 0 6.5 0 0 0 0 0 0 0 1 40 49 10 4 0 0 7.5 0 0 0 0 0 0 0 0 1 22 8 2 0 0 8.5 0 0 0 0 0 0 0 0 0 3 6 1 0 0 9.5 0 0 0 0 0 0 0 0 0 0 2 0 0 0 10.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Location 6 Mid Bin Hmo (m) Te (s) 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 5 37 169 240 231 125 29 3 0 0 0 0 0 0 1.5 0 0 73 3,201 7,667 7,463 5,433 2,486 738 104 16 0 0 0 2.5 0 0 0 7 4,062 14,938 15,063 11,670 7,126 2,457 388 14 0 0 3.5 0 0 0 0 5 3,677 19,104 19,359 12,274 6,009 1,953 273 49 0 4.5 0 0 0 0 0 10 5,301 21,524 15,717 8,089 2,660 913 119 0 5.5 0 0 0 0 0 0 39 6,261 18,061 9,470 3,051 944 103 0 6.5 0 0 0 0 0 0 0 215 8,820 11,615 2,690 1,221 118 0 7.5 0 0 0 0 0 0 0 0 417 6,908 2,919 601 52 0 8.5 0 0 0 0 0 0 0 0 0 1,209 2,590 501 0 0 9.5 0 0 0 0 0 0 0 0 0 22 845 156 0 0 10.5 0 0 0 0 0 0 0 0 0 0 413 637 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 76 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Hmo (m) Te (s)Location 6 Mid Bin 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 35 146 360 497 546 378 116 15 1 0 0 0 0 0 1.5 0 0 10 381 883 953 829 464 153 26 5 0 0 0 2.5 0 0 0 0 95 343 460 453 300 112 23 1 1 0 3.5 0 0 0 0 0 23 138 230 192 100 31 9 1 0 4.5 0 0 0 0 0 0 23 73 99 69 24 9 1 0 5.5 0 0 0 0 0 0 0 9 40 41 13 5 1 0 6.5 0 0 0 0 0 0 0 0 5 18 7 3 0 0 7.5 0 0 0 0 0 0 0 0 0 3 5 1 0 0 8.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0 9.5 0 0 0 0 0 0 0 0 0 0 0 1 0 0 10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Location 7 Mid Bin Hmo (m) Te (s)
  • 67. 59 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 11 63 199 337 437 349 121 17 2 0 0 0 0 0 1.5 0 1 48 2,321 6,357 7,917 7,812 4,885 1,775 337 73 0 0 0 2.5 0 0 0 1 1,899 7,930 12,027 13,243 9,688 3,953 898 60 25 0 3.5 0 0 0 0 2 1,026 7,089 13,160 12,134 6,928 2,304 761 110 0 4.5 0 0 0 0 0 3 1,949 6,921 10,348 7,929 2,947 1,205 170 0 5.5 0 0 0 0 0 0 0 1,242 6,233 6,976 2,452 1,031 216 0 6.5 0 0 0 0 0 0 0 43 1,139 4,253 1,763 708 0 0 7.5 0 0 0 0 0 0 0 0 0 969 1,595 293 0 0 8.5 0 0 0 0 0 0 0 0 0 0 483 271 0 0 9.5 0 0 0 0 0 0 0 0 0 0 145 495 0 0 10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Hmo (m) Te (s)Location 7 Mid Bin 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 23 128 367 432 432 256 61 8 1 0 0 0 0 0 1.5 0 0 19 496 972 977 769 351 99 21 3 0 0 0 2.5 0 0 0 0 148 448 526 459 278 87 15 1 0 0 3.5 0 0 0 0 0 40 195 281 189 83 26 6 0 0 4.5 0 0 0 0 0 0 36 113 127 64 21 6 0 0 5.5 0 0 0 0 0 0 0 16 61 41 12 4 1 0 6.5 0 0 0 0 0 0 0 0 12 24 7 2 0 0 7.5 0 0 0 0 0 0 0 0 0 7 5 1 0 0 8.5 0 0 0 0 0 0 0 0 0 0 2 0 0 0 9.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0 10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Location 8 Mid Bin Hmo (m) Te (s) 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 7 55 203 293 346 237 64 10 1 0 0 0 0 0 1.5 0 0 94 3,020 7,000 8,120 7,247 3,694 1,154 262 39 0 0 0 2.5 0 0 0 0 2,954 10,336 13,750 13,417 8,988 3,086 568 54 4 0 3.5 0 0 0 0 5 1,813 10,026 16,126 11,988 5,780 1,924 467 19 0 4.5 0 0 0 0 0 3 3,021 10,725 13,292 7,351 2,573 784 63 0 5.5 0 0 0 0 0 0 22 2,331 9,523 7,073 2,217 743 113 0 6.5 0 0 0 0 0 0 0 86 2,573 5,781 1,820 549 26 0 7.5 0 0 0 0 0 0 0 0 51 2,104 1,595 293 0 0 8.5 0 0 0 0 0 0 0 0 0 53 831 63 0 0 9.5 0 0 0 0 0 0 0 0 0 0 338 548 0 0 10.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Hmo (m) Te (s)Location 8 Mid Bin
  • 68. 60 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 13 100 235 218 177 96 19 2 0 0 0 0 0 0 1.5 0 0 117 716 1,082 788 460 173 46 5 1 0 0 0 2.5 0 0 0 2 311 703 577 361 183 59 9 0 0 0 3.5 0 0 0 0 0 126 412 327 183 77 21 3 0 0 4.5 0 0 0 0 0 0 97 269 150 74 23 6 1 0 5.5 0 0 0 0 0 0 2 79 141 62 18 6 1 0 6.5 0 0 0 0 0 0 0 3 64 57 14 3 0 0 7.5 0 0 0 0 0 0 0 0 6 38 10 4 0 0 8.5 0 0 0 0 0 0 0 0 0 10 10 1 0 0 9.5 0 0 0 0 0 0 0 0 0 1 4 1 0 0 10.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 1 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Location 9 Mid Bin Hmo (m) Te (s) 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 4 43 130 148 141 89 20 2 0 0 0 0 0 0 1.5 0 0 581 4,363 7,796 6,549 4,330 1,822 540 65 11 0 0 0 2.5 0 0 0 33 6,215 16,222 15,088 10,556 5,911 2,094 356 14 0 0 3.5 0 0 0 0 7 5,694 21,136 18,766 11,625 5,327 1,586 205 38 0 4.5 0 0 0 0 0 36 8,222 25,443 15,676 8,448 2,839 813 170 0 5.5 0 0 0 0 0 0 215 11,144 22,133 10,624 3,285 1,119 160 0 6.5 0 0 0 0 0 0 0 670 13,985 13,528 3,685 964 66 0 7.5 0 0 0 0 0 0 0 0 1,871 12,016 3,611 1,528 157 0 8.5 0 0 0 0 0 0 0 0 32 4,143 4,291 459 0 0 9.5 0 0 0 0 0 0 0 0 0 289 2,100 600 0 0 10.5 0 0 0 0 0 0 0 0 0 27 767 637 0 0 11.5 0 0 0 0 0 0 0 0 0 0 212 688 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Hmo (m) Te (s)Location 9 Mid Bin 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 14 112 260 242 190 103 22 2 0 0 0 0 0 0 1.5 0 0 108 704 1,074 811 480 184 50 5 1 0 0 0 2.5 0 0 0 2 296 679 579 378 188 60 9 0 0 0 3.5 0 0 0 0 0 113 392 333 195 80 22 3 0 0 4.5 0 0 0 0 0 0 84 248 148 71 23 6 1 0 5.5 0 0 0 0 0 0 2 64 133 63 17 5 1 0 6.5 0 0 0 0 0 0 0 2 55 54 13 4 0 0 7.5 0 0 0 0 0 0 0 0 3 32 10 3 0 0 8.5 0 0 0 0 0 0 0 0 0 7 8 1 0 0 9.5 0 0 0 0 0 0 0 0 0 0 3 1 0 0 10.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 1 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Location 10 Mid Bin Hmo (m) Te (s)
  • 69. 61 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 4 48 144 164 152 95 23 2 0 0 0 0 0 0 1.5 0 0 538 4,293 7,737 6,738 4,525 1,942 578 69 11 0 0 0 2.5 0 0 0 31 5,929 15,684 15,152 11,055 6,080 2,112 361 9 0 0 3.5 0 0 0 0 5 5,112 20,096 19,075 12,360 5,547 1,688 223 42 0 4.5 0 0 0 0 0 26 7,087 23,525 15,499 8,129 2,877 860 132 0 5.5 0 0 0 0 0 0 209 9,127 20,862 10,855 3,172 1,084 122 0 6.5 0 0 0 0 0 0 0 438 11,944 13,029 3,379 1,062 92 0 7.5 0 0 0 0 0 0 0 0 1,011 10,078 3,341 1,203 140 0 8.5 0 0 0 0 0 0 0 0 49 2,845 3,634 480 0 0 9.5 0 0 0 0 0 0 0 0 0 111 1,666 574 0 0 10.5 0 0 0 0 0 0 0 0 0 0 737 541 0 0 11.5 0 0 0 0 0 0 0 0 0 0 35 497 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Hmo (m) Te (s)Location 10 Mid Bin 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 1 79 269 236 176 100 22 3 0 0 0 0 0 0 1.5 0 0 120 787 1,098 797 456 167 44 5 1 0 0 0 2.5 0 0 0 4 328 694 597 371 173 52 8 0 0 0 3.5 0 0 0 0 0 121 391 338 191 74 20 3 0 0 4.5 0 0 0 0 0 1 85 243 148 67 21 6 0 0 5.5 0 0 0 0 0 0 2 63 128 58 17 4 1 0 6.5 0 0 0 0 0 0 0 3 54 52 12 3 0 0 7.5 0 0 0 0 0 0 0 0 4 29 8 3 0 0 8.5 0 0 0 0 0 0 0 0 0 7 7 1 0 0 9.5 0 0 0 0 0 0 0 0 0 0 3 1 0 0 10.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Location 11 Mid Bin Hmo (m) Te (s) 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 0 34 149 160 141 92 23 3 0 0 0 0 0 0 1.5 0 0 596 4,795 7,910 6,624 4,299 1,757 513 69 11 0 0 0 2.5 0 0 0 60 6,553 16,026 15,619 10,849 5,578 1,835 303 7 0 0 3.5 0 0 0 0 15 5,480 20,058 19,362 12,128 5,140 1,530 227 23 0 4.5 0 0 0 0 0 55 7,191 23,051 15,499 7,710 2,638 755 31 0 5.5 0 0 0 0 0 0 270 8,985 19,958 9,984 3,116 891 113 0 6.5 0 0 0 0 0 0 0 550 11,868 12,364 3,210 977 92 0 7.5 0 0 0 0 0 0 0 0 1,024 9,220 2,829 991 122 0 8.5 0 0 0 0 0 0 0 0 32 2,738 3,170 397 0 0 9.5 0 0 0 0 0 0 0 0 0 89 1,569 469 0 0 10.5 0 0 0 0 0 0 0 0 0 0 796 446 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 420 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Hmo (m) Te (s)Location 11 Mid Bin
  • 70. 62 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 0 48 254 233 162 89 21 2 0 0 0 0 0 0 1.5 0 0 128 894 1,128 771 420 146 35 5 1 0 0 0 2.5 0 0 0 7 375 723 602 355 152 44 6 0 0 0 3.5 0 0 0 0 2 143 396 339 184 67 17 3 0 0 4.5 0 0 0 0 0 2 90 240 146 63 19 4 0 0 5.5 0 0 0 0 0 0 3 64 123 53 16 4 0 0 6.5 0 0 0 0 0 0 0 4 56 46 11 3 0 0 7.5 0 0 0 0 0 0 0 0 4 26 8 2 0 0 8.5 0 0 0 0 0 0 0 0 0 7 6 1 0 0 9.5 0 0 0 0 0 0 0 0 0 0 3 0 0 0 10.5 0 0 0 0 0 0 0 0 0 0 1 1 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Location 12 Mid Bin Hmo (m) Te (s) 2.5 3.5 4.5 5.5 6.5 7.5 8.5 9.5 10.5 11.5 12.5 13.5 14.5 15.5 0.5 0 21 141 158 130 83 22 2 0 0 0 0 0 0 1.5 0 0 636 5,450 8,122 6,411 3,954 1,536 412 63 12 0 0 0 2.5 0 0 0 115 7,504 16,689 15,755 10,394 4,921 1,574 221 5 0 0 3.5 0 0 0 0 63 6,471 20,316 19,454 11,644 4,640 1,317 205 19 0 4.5 0 0 0 0 0 117 7,647 22,771 15,280 7,182 2,308 544 0 0 5.5 0 0 0 0 0 0 429 8,998 19,312 9,127 2,954 787 84 0 6.5 0 0 0 0 0 0 0 696 12,323 11,126 2,961 842 92 0 7.5 0 0 0 0 0 0 0 0 1,213 8,362 2,663 683 105 0 8.5 0 0 0 0 0 0 0 0 0 2,863 2,783 313 0 0 9.5 0 0 0 0 0 0 0 0 0 111 1,497 287 0 0 10.5 0 0 0 0 0 0 0 0 0 0 796 446 0 0 11.5 0 0 0 0 0 0 0 0 0 0 0 344 0 0 12.5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Hmo (m) Te (s)Location 12 Mid Bin
  • 71. 63 Extreme Wave Analysis Plots Extreme significantwave heightsforall locations,with95% confidence bounds.
  • 72. 64
  • 73. 65
  • 74. 66
  • 75. 67
  • 76. 68 10.2 Wave Roses Wave rosesfor all locations.
  • 77. 69
  • 78. 70
  • 80. 72
  • 81. 73