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Critical Limitations of Wind Turbine Power Curve Warranties
A. Albers
Deutsche WindGuard Consulting GmbH, Oldenburger Straße 65, D-26316 Varel, Germany
E-mail: a.albers@windguard.de, Tel: (++49) (0)4451/9515-15, Fax: (++49) (0)4451/9515-29
Summary
Wind turbine power curve warranties of
many turbine suppliers became subject to
increasing limitations over recent years. This
more and more questions the economic
value of power curve warranties. Some of
the technical risks linked to the limitations
remain hidden for non-experts, e.g. for tur-
bine purchasers and sales people. Of par-
ticular importance are limitations on the va-
lidity of the warranted power curve to certain
environmental conditions and turbine condi-
tions, which often mean that the warranted
power curve is not valid for the average
conditions expected at a certain wind farm
site, leading to too optimistic yield expecta-
tions. Turbine suppliers should warrant site
specific power curves rather than generic
power curves to overcome this situation.
The expected revision of the power curve
testing standard IEC 61400-12-1 provides
guidance on how power curves can be bet-
ter adjusted to site specific conditions and
how uncertainties of power curves due to
the impact of environmental conditions can
be treated. Other critical factors of power
curve warranties are mainly related to limita-
tions on the allowed period for verifying the
fulfilment of the warranty, to limitations on
the selection of test turbines, to the right of
the turbine supplier to optimise the turbines
before the verification, to limitations on the
testing procedure, to an often found artificial
increase of the uncertainty of verification
tests and thus to an effective (and hidden)
lowering of the warranty level, to improper
compensation rules and to unreasonable
high limitations of the liabilities of power
curve warranties.
1 Introduction
A trend has been observed over the past
few years that warranties on wind turbine
power curves became subject to increasing
limitations. Often, neither turbine purchas-
ers, nor sales people of turbine suppliers are
aware of the risks and consequences linked
to such limitations. The reported findings
and recommendations are based on experi-
ence from activities as technical adviser in
contract negotiations with a variety of turbine
suppliers. Another technical basis of the
observed effects are several power curves
tests as performed for verifying power curve
warranties, as well as experience as official
expert in court cases.
2 Limitation on Verification Period, Test
Turbines and Announcement of Tests
A power curve warranty is expected to pro-
vide a guarantee that the power output of all
contractual wind turbines as function of wind
speed is kept at an agreed level for the war-
ranty period. Thus, a verification of the war-
ranty should be possible at each turbine,
where a power curve test is possible, and
within the entire warranty period. Also a
repetition of the power curve test should be
possible for the owner after some time for
the case that doubts on the power curve
arise. However, this is not the case in the
standard warranties as presented by many
turbine suppliers. The test period is often
limited to a short period after commissioning
of e.g. one year, and sometimes the verifica-
tion test is allowed only once. Thus, the
warranty gets useless for the owner in the
case that the power performance decreases
with time. Furthermore, the possible test
turbines are often contractually fixed. By
this, verifications at other turbines, where
doubts about the power curve may arise, are
not possible for the owner.
Critical in this respect is also the fact that
many standard warranties provide only a
warranty on the mean power curve of all
turbines of a wind farm as tested on a set of
exemplary machines. No compensation for a
significant lack of the power curve of outlier
machines is provided in this case. The war-
ranties should rather provide a power curve
warranty for single turbines in addition to the
warranty for the mean of the turbines, while
the warranty level may be reduced for the
single turbines compared to the level related
to the mean power curve of all turbines. The
lowering of the warranty level for single tur-
bines can be oriented on the higher uncer-
tainty of power curve tests for single turbines
compared to the uncertainty of a mean
power curve as measured at a set of tur-
bines. Instead, most of today’s standard
warranties include a lowering of the warranty
level for the mean power curve as tested at
a set of turbines on the basis of the uncer-
tainty of a single power curve test.
Another limitation of many standard warran-
ties is the obligation of the owner to inform
the turbine supplier about power curve tests.
Sometimes, the turbine supplier has explic-
itly the right to optimise the power curve
before the power curve verification starts.
This regulation makes it nearly impossible
for the owner to proof a breach of the power
curve warranty, which was present before
such an optimisation. The right to optimise
the power curve before the verification of the
warranty seems justified only if the condition
of the turbine is not in the responsibility of
the turbine supplier. Otherwise, e.g. in case
of the presence of full service contracts be-
tween the owner and the turbine supplier,
the warranted power curve should always be
reached without optimisation by the turbine
supplier prior to a power curve test, and the
owner should have the right to perform blind
tests.
3 Limitation on General Verification
Procedure
Most power curve warranties require verifi-
cation tests being performed on the basis of
the standard IEC 61400-12-1 [1]. This
seems being justified as IEC 61400-12-1 is
so far the only international standard on
power curve tests and as the general proce-
dure outlined in this standard is well ac-
cepted.
However, the standard IEC 61400-12-1 has
practical shortcomings: Tests according to
this standard are expensive as met masts
reaching hub height are required. In com-
plex terrain, the method is applicable only if
a site calibration with additional masts has
been performed prior to the installation of
the turbines. Furthermore, only turbines at
the boarder of wind farms can be tested.
These shortcomings are a true burden for
turbine owners to perform verifications of the
warranted power curve at all, and some-
times power curve tests are just impossible.
Thus, alternative procedures for the verifica-
tion of power curves should be seriously
considered for power curve warranties, at
least for cases, where an application of the
standard IEC 61400-12-1 is difficult. In many
cases, advanced nacelle anemometry ac-
cording to the draft standard CD IEC 61400-
12-2 [2] is a proper power curve verification
procedure. Also the application of lidars on
nacelles for power curve testing is expected
to become a good alternative power curve
verification procedure in the near future [3].
Especially offshore, where the application of
met masts is extremely expensive, power
curve verifications may be feasible also on
the basis of wind measurements with a
scanning lidar mounted on the turbine sup-
port structure at the tower foot. This proce-
dure is very close to the draft revision of the
standard IEC 61400-12-1 [4].
All of the alternative power curve verification
procedures are still linked to higher uncer-
tainties than the application of IEC 61400-
12-1. This should be no reason for the tur-
bine supplier to reject these methods, as the
warranty level is normally reduced by the
uncertainty of the power curve verification.
On the other hand, the owner can consider
the alternative verification procedures as
trade-off of the provided warranty level and
the effort for power curve verifications.
It is pointed out that the author has success-
fully implement alternative verification pro-
cedures in power curve warranties.
4 Limitation on Special Test Conditions
A clear trend has been observed over the
past few years that power curve verification
procedures as defined in standard warran-
ties require more and more special test con-
ditions, often far beyond the requirements
defined in IEC 61400-12-1 and sometimes in
contradiction to some requirements defined
in IEC 61400-12-1.
Many standard warranties require additional
data filtering on atmospheric conditions, like
on turbulence intensity, wind shear, vertical
flow inclination, air density, air temperature
and wind direction. This seems justified from
the viewpoint of the turbine supplier, who
may intend to warrant the power curve only
under well defined environmental conditions
(warranty of generic power curve). However,
the consequence for the turbine owner can
be that the power curve tested under such
special atmospheric conditions may not be
representative for the wind farm site any-
more and may thus be of limited value for
economic considerations (e.g. wind re-
source assessments). Sometimes, the addi-
tional data filtering leads to very idealised
measured power curves, which are just too
optimistic for economic considerations, i.e.
the warranty level is indirectly lowered by
the filtering. In other cases, the definition of
special test conditions seems being quite
arbitrary, and the intention of the turbine
supplier to well define the testing conditions
is clearly not met. Figure 1 illustrates the
effect of special data filters as defined in
power curve warranties on the measurement
results in terms of the annual energy pro-
duction (AEP). The influence on the AEP
varies approximately from -3 % to +3 %, but
in the majority of the cases, the AEP is im-
proved by the special data filtering, i.e. the
verified power curve tends being overopti-
mistic for the wind farm site.
In order to overcome the conflict of warrant-
ing a power curve for well defined conditions
(intention of turbine supplier) and getting a
warranted power curve representative for
the wind farm site (intention of owner), war-
ranted power curves should be defined site
specific rather than generic. The new draft
revision of the standard IEC 61400-12-1 [4]
provides methodologies to normalise power
curve data in terms of the turbulence inten-
sity and wind shear to pre-defined site spe-
cific conditions [5]. In terms of the air den-
sity, such data normalisation is common
practice since a long time. Potential short-
comings of the normalisation procedures are
covered by additional uncertainties, which
again reduce the warranty level. This should
be acceptable for the turbine supplier and
for the owner. Another advantage of data
normalisation about data filtering is that the
extension of the measurement period, as
sometimes caused by data filtering, is
avoided.
-3
-2
-1
0
1
2
3
4
0 5 10 15 20 25 30
test number [-]
AEPspecialfilter-AEPIECfilter[%]
Figure 1: Influence of special data filtering
as defined in power curve warranties on the
measurement results in terms of the annual
energy production (AEP). Shown is the AEP
of the power curve under special data filter-
ing minus the AEP of the power curve fil-
tered according to IEC 61400-12-1 in per-
cent for 26 test cases.
Other special testing conditions defined in
some standard power curve warranties are
related to certain conditions of the tested
turbines. The justification of such turbine
conditions must be checked case by case: It
is mostly plausible to exclude special turbine
conditions from power curve tests, for which
the turbine supplier is not responsible, e.g.
situations with improper grid conditions or
noise reduced operation. Other special con-
ditions, like e.g. automatic load reduction,
may be considered as the turbine condition
representative for the wind farm site and
should thus not be excluded from power
curve tests. A few standard warranties re-
quire even the cut-in hysteresis to be ex-
cluded from power curve verifications. This
is completely unjustified, as the cut-in hys-
teresis can be well measured and forms a
normal, although turbulence dependent, part
of the power curve. Excluding the cut-in
hysteresis leads to a systematic improve-
ment of measured power curves in favour of
turbine suppliers. Many standard warranties
require the application of database B ac-
cording to IEC 61400-12-1 instead of data-
base A (main result according to current
version of IEC 61400-12-1). Database A
includes the high wind cut-off hysteresis,
while database B excludes the cut-off hys-
teresis from power curve tests. The use of
database B is supported by the fact that
often not much data is present in the wind
speed range where the high wind hysteresis
takes place, what can lead to quite arbitrary
measurement results. On the other hand,
database B does not cover potential prob-
lems of a turbine to keep rated power at high
wind speeds and can lead to overoptimistic
AEP calculations. Furthermore, the arbitrari-
ness of database A is expressed by a higher
statistical uncertainty of the measurement,
what reduces automatically the warranty
level. Thus database A should be accept-
able for the turbine supplier and for the
owner.
Some standard power curve warranties in-
clude special conditions on the terrain at the
test site, which by far exceed the require-
ments defined in the standard IEC 61400-
12-1. Most of these requirements are rather
arbitrary, what is expressed by the fact how
different these additional requirements are
among the turbine suppliers and how often
such requirements are changed by certain
turbine suppliers. Sometimes, the additional
requirements make a power curve verifica-
tion impossible, what invalidates the whole
power curve warranty. Additional require-
ments on the terrain conditions are justified
only at extreme sites.
Some standard power curve warranties
have additional requirements on the posi-
tioning of met masts beyond the require-
ments defined in IEC 61400-12-1, like posi-
tioning the mast upwind of the turbine in the
main wind direction or in short distances to
the turbine. Such additional requirements
normally intend to improve the correlation of
wind speeds measured at the met mast and
present at the test turbine. However, in
complex terrain positioning of the mast up-
wind of the test turbine can be an improper
choice leading to systematic errors of the
site calibration. Furthermore, lowering the
distance between mast and turbine is some-
times not practicable. Thus, the feasibility
and appropriateness on additional require-
ments on mast positions must be judged for
each wind farm site separately.
Certain standard power curve warranties
contain additional requirements on the de-
sign of met masts, exceeding the require-
ments defined in IEC 61400-12-1. Most of
these requirements are intended to improve
the measurement accuracy, can be easily
fulfilled and do not change the measured
power curve in a certain direction. However,
there are more critical requirements, like e.g.
requesting the masts not exceeding hub
height, leading to small systematic im-
provements of the measured power curves
in the case that masts reaching exactly hub
height cannot be realised.
5 Critical Aspects of Criteria of Fulfil-
ment of Power Curve Warranties
There are still power curve warranties exist-
ing, where the treatment of the uncertainties
of power curve verification tests is not de-
fined. Experience as court adviser shows,
that courts normally count the uncertainty of
the verification procedure in favour of the
turbine supplier if the treatment of the uncer-
tainty is not contractually agreed otherwise.
As the uncertainties of power curve verifica-
tions are considerable, the treatment of the
uncertainties should always be defined in
the warranty.
Most standard power curve warranties in-
clude a reduction of the warranty level by
the uncertainty of the power curve verifica-
tion. This principle is justified as the turbine
supplier cannot be hold responsible for the
uncertainty of the power curve verification.
However, most standard warranties include
a reduction of the warranty level by one
standard uncertainty of the power curve
verification. By assuming a Gaussian distri-
bution for the uncertainty assessment, this
regulation implicitly means that the true
power curve of the test turbine does not
reach the warranted power curve by a prob-
ability of 84 % as condition for a breach of
the power curve warranty. The choice of the
probability of 84 % is rather arbitrary. Refer-
ence [6] shows examples where clear short-
comings of power curves were present al-
ready in the case of power curve tests
where the true power curve does not reach
the warranted power curve by a probability
of only 70 %. The probability of 70 % is
equal to the case that the deviation of the
measured and warranted power curve is
0.52 times the standard uncertainty of the
test. Thus, the warranty level provided by
power curve warranties should be reduced
only by 0.52 times the standard uncertainty
rather than by the full standard uncertainty.
Some standard power curve verifications
include minimum uncertainties to be as-
sumed for the assessment of the verified
power curve. Some of these assumptions
are very conservative and do lack any tech-
nical reasoning. Such conservative uncer-
tainty assumptions lead to an improper,
systematic and hidden lowering of the war-
ranty level. The uncertainty assumptions
should rather be as realistic as possible.
The standard IEC 61400-12-1 suggests a
methodology how to accumulate different
uncertainties of power curve measurements
to an uncertainty in terms of the annual en-
ergy production. The exact formulation is
given by formula E.4 of the standard IEC
61400-12-1. IEC 61400-12-1 includes fur-
ther an approximation of formula E.4 given
by formula E.5. Formula E.5 systematically
increases the uncertainty in terms of the
AEP over formula E.4 by about 10 %. De-
spite the fact that formula E.4 represents the
exact formulation, some standard power
curve warranties require formula E.5 to be
applied for the calculation of the uncertainty
in terms of the AEP. This is considered as
being extremely unfair and reduces system-
atically the warranty level (clearly hidden for
non-experts).
Most standard power curve warranties re-
quire the measured power curves being
extrapolated to the cut-off wind speed for the
comparison with the warranted power curve
in terms of the AEP. This procedure is fair
only if the cut-off wind speed is realistic,
especially if the measured power curve is
required being evaluated according to data-
base B (high wind cut-off hysteresis not
included in measurement). Most cut-off wind
speeds given by turbine suppliers do not
refer to 10-minute periods, i.e. most turbines
effectively cut-off at wind speeds referring to
10-minute periods as relevant for wind re-
source assessments below the cut-off wind
speeds given by turbine suppliers. In addi-
tion, most warranted power curves do not
represent the high wind cut-off hysteresis of
the turbine but are rather extended to the
cut-off wind speed relevant for an averaging
period below 10 minutes (re-cut-in not rep-
resented at all). Extending the measured
power curve to this less representative cut-
off wind speed leads to a reduction of the
deviation of the measured and warranted
power curve. This can be critical at high
wind sites. Another problem of this practice
is that the uncertainty calculation according
to IEC 6140-12-1 refers only to the non-
extended measured power curve, i.e. the
uncertainty assumed for the reduction of the
warranty level or for the evaluation of the
criteria of fulfilment of the warranty does not
fully match the compared AEP’s. A more
appropriate procedure is to perform the AEP
calculations for the measured power curve
and the warranted power curve only up to
the wind speed covered by the measured
power curve. By this, the AEP calculations
are treated equally for both power curves,
no speculation of the true power curve in the
wind speed range not covered by the power
curve has to be made, and the calculated
uncertainty matches to the AEP-calculation.
Another critical aspect of most standard
power curve warranties is that the criterion
of fulfilment is defined for the mean of the
measured power curves (normally for the
mean AEP) by taking the mean uncertainty
of the power curve tests into account, i.e.
the power curve warranty is fulfilled if the
mean of the measured power curves plus
the mean standard uncertainty of the power
curve tests exceeds the warranted power
curve in terms of the AEP. In fact, the mean
of the measured power curves is linked to a
slightly lower uncertainty than the mean
uncertainty of single power curve measure-
ments, because some uncertainty compo-
nents are independent between the single
measurements (e.g. uncertainty of site ef-
fects). Thus, the criterion on the mean
power curve should rather be evaluated as
follows:
● The single uncertainty components
should be cumulated between the single
power curve measurements in a physi-
cally meaningful way in terms of the AEP
by considering for each component the
correlation among the measurements.
● Based on this cumulating of uncertain-
ties, a weighted AEP should be calcu-
lated such from the single measurements
that a minimum uncertainty results for the
weighted AEP, rather than just calculat-
ing the arithmetic average of the meas-
ured power curves in terms of the AEP.
This weighted AEP and the associated
uncertainty should be relevant for the
evaluation of the criterion of fulfilment of
the warranty.
It is pointed out that both of the above
measures are linked to a (small) reduction of
the uncertainty of the mean AEP, i.e. the
warranty level is slightly increased com-
pared to the less sophisticated procedure of
most standard warranties.
As is explained in chapter 2, an appropriate
power curve warranty should cover also
significant shortcomings of power curves of
single turbines in addition to a warranty on
the mean of the turbines. In terms of the
criterion of fulfilment of the warranty of the
power curves of single turbines, it makes
sense to account the uncertainty of each
single power curve test for each individual
machine. As this uncertainty is normally
higher than the above described uncertainty
of the mean power curve, the warranty level
for individual turbines is automatically re-
duced.
6 Critical Aspects of Compensation
Rules
Some standard power curve warranties pro-
vide compensation in case of underperfor-
mance only for the warranty period. This is
very critical for turbine owners if the war-
ranty period is only in the range of 2 to 5
years, because then the warranty covers
only underperformance for a small fraction
of the expected lifetime of the turbines.
Thus, compensation should be provided by
the power curve warranty for the entire pe-
riod where the underperformance is present,
even if this period exceeds the warranty
period. However, it is considered being fair
that the fulfilment of the power curve war-
ranty can be verified by the owner only
within the warranty period.
Another shortcoming of most standard
power curve warranties is that compensation
for underperformance is paid only after un-
successful trials of optimisation of the power
curve by the turbine supplier. The key issue
of this regulation is that the optimisation of
the power curve and the re-measurement to
proof the optimisation can take very long.
Furthermore, quite often problems with the
acceptance and interpretation of measure-
ment results by the turbine owner and by the
turbine supplier are observed. Thus, some-
times compensation gets due only after
years of measurements and discussions
(sometimes never), while the turbine owner
is suffering from underperformance of the
wind farm. In order to overcome this, com-
pensation should be payable by the turbine
supplier as soon as the owner proofs under-
performance according to the procedures
defined in the warranty, i.e. the compensa-
tion period should start with the start of the
relevant measurements of the owner, inde-
pendent from possible re-measurements or
optimisation by the turbine supplier. Com-
pensation should be payable until the tur-
bine supplier proofs by the procedures de-
fined in the warranty that the warranted
power curve is met.
A further shortcoming of many standard
power curve warranties is that the compen-
sation for underperformance is kept propor-
tional to the true energy yield in reference
periods. If then the warranted power curve
and the warranted availability level are not
reached at the same time, the compensation
for the underperformance of power curves is
lowered by a too low availability (see illustra-
tion in Figure 2). Thus, the compensation for
underperformance in terms of the power
curve should be kept proportional to the true
energy yield scaled by the ratio of the war-
ranted and true availability if both warranties
are not met at the same time. Alternatively,
the compensation for underperformance in
terms of the availability should be kept pro-
portional to the true energy yield scaled by
the ratio of the warranted and true power
curve. Another, less sophisticated, method
is to compensate underperformance in
terms of the power curve as a lump sum
proportional to the expected energy yield.
Another often observed critical aspect of
power curve warranties is a very low maxi-
mum liability, e.g. of only 5 % of the turbine
purchase price. Under such low liability lev-
els, the warranty cannot be expected to
compensate true significant underperfor-
mance in terms of the power curve. The
liability should cover at least 20 % of the
turbine purchase price.
0.0
0.2
0.4
0.6
0.8
1.0
1.2
0.0 0.2 0.4 0.6 0.8 1.0 1.2
time [-]
powerlevel[-]
warranted power level warranted availability level
true power level true availability level
covered by power curve warranty
coveredby
avail.warranty
not covered
Figure 2: illustration of problem of scaling
compensation for underperformance in
terms of power curve and availability propor-
tional to the true energy yield
7 Conclusions
● Many regulations offered these days by
turbine suppliers in standard power curve
warranties are deemed being unbal-
anced.
● Many power curve warranties are hardly
capable to significantly reduce the risk of
turbine owners linked to power curve un-
derperformance. The associated risks
should be considered in economic con-
siderations, e.g. in uncertainties of wind
resource assessments and when com-
paring prices of wind turbines.
● Wind turbine suppliers should rather
warrant a site specific power curve,
which is adjusted to the conditions ex-
pected in a certain wind farm, rather than
generic power curves, which are valid
only under idealised conditions. This
would contribute to more realistic yield
expectations of wind farms.
8 References
[1] IEC 61400-12-1, Wind turbines - Part
12-1: Power performance measure-
ments of electricity producing wind tur-
bines, 2005
[2] IEC 61400-12-2 Committee Draft, Wind
turbines - Part 12-2: Power performance
measurements of electricity producing
wind turbines based on nacelle anem-
ometry, 2008
[3] Wagner R., Pedersen TF., Courtney M.,
Gottschall J., Antoniou I., Møller R.,
Pedersen SM., Le N., Mouritzen AS.,
Velociter T., Bardon M.; Power perform-
ance measured using a nacelle-based
lidar, proceedings of EWEA 2011, Brus-
sels
[4] IEC 61400-12-1, Edition 2 Committee
Draft, Wind turbines - Part 12-1: Power
performance measurements of electricity
producing wind turbines, September
2011
[5] Albers A.; Turbulence and Shear Nor-
malisation of Wind Turbine Power Curve
Data, proceedings of EWEC 2010, War-
saw
[6] Albers A.; Relative and Integral Wind
turbine Power Performance Evaluation,
proceedings of EWEC 2004, London

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power-curve-wind guard

  • 1. Critical Limitations of Wind Turbine Power Curve Warranties A. Albers Deutsche WindGuard Consulting GmbH, Oldenburger Straße 65, D-26316 Varel, Germany E-mail: a.albers@windguard.de, Tel: (++49) (0)4451/9515-15, Fax: (++49) (0)4451/9515-29 Summary Wind turbine power curve warranties of many turbine suppliers became subject to increasing limitations over recent years. This more and more questions the economic value of power curve warranties. Some of the technical risks linked to the limitations remain hidden for non-experts, e.g. for tur- bine purchasers and sales people. Of par- ticular importance are limitations on the va- lidity of the warranted power curve to certain environmental conditions and turbine condi- tions, which often mean that the warranted power curve is not valid for the average conditions expected at a certain wind farm site, leading to too optimistic yield expecta- tions. Turbine suppliers should warrant site specific power curves rather than generic power curves to overcome this situation. The expected revision of the power curve testing standard IEC 61400-12-1 provides guidance on how power curves can be bet- ter adjusted to site specific conditions and how uncertainties of power curves due to the impact of environmental conditions can be treated. Other critical factors of power curve warranties are mainly related to limita- tions on the allowed period for verifying the fulfilment of the warranty, to limitations on the selection of test turbines, to the right of the turbine supplier to optimise the turbines before the verification, to limitations on the testing procedure, to an often found artificial increase of the uncertainty of verification tests and thus to an effective (and hidden) lowering of the warranty level, to improper compensation rules and to unreasonable high limitations of the liabilities of power curve warranties. 1 Introduction A trend has been observed over the past few years that warranties on wind turbine power curves became subject to increasing limitations. Often, neither turbine purchas- ers, nor sales people of turbine suppliers are aware of the risks and consequences linked to such limitations. The reported findings and recommendations are based on experi- ence from activities as technical adviser in contract negotiations with a variety of turbine suppliers. Another technical basis of the observed effects are several power curves tests as performed for verifying power curve warranties, as well as experience as official expert in court cases. 2 Limitation on Verification Period, Test Turbines and Announcement of Tests A power curve warranty is expected to pro- vide a guarantee that the power output of all contractual wind turbines as function of wind speed is kept at an agreed level for the war- ranty period. Thus, a verification of the war- ranty should be possible at each turbine, where a power curve test is possible, and within the entire warranty period. Also a repetition of the power curve test should be possible for the owner after some time for the case that doubts on the power curve arise. However, this is not the case in the standard warranties as presented by many turbine suppliers. The test period is often limited to a short period after commissioning of e.g. one year, and sometimes the verifica- tion test is allowed only once. Thus, the warranty gets useless for the owner in the case that the power performance decreases with time. Furthermore, the possible test turbines are often contractually fixed. By this, verifications at other turbines, where doubts about the power curve may arise, are not possible for the owner. Critical in this respect is also the fact that many standard warranties provide only a warranty on the mean power curve of all turbines of a wind farm as tested on a set of exemplary machines. No compensation for a significant lack of the power curve of outlier machines is provided in this case. The war- ranties should rather provide a power curve warranty for single turbines in addition to the warranty for the mean of the turbines, while the warranty level may be reduced for the single turbines compared to the level related to the mean power curve of all turbines. The lowering of the warranty level for single tur- bines can be oriented on the higher uncer- tainty of power curve tests for single turbines
  • 2. compared to the uncertainty of a mean power curve as measured at a set of tur- bines. Instead, most of today’s standard warranties include a lowering of the warranty level for the mean power curve as tested at a set of turbines on the basis of the uncer- tainty of a single power curve test. Another limitation of many standard warran- ties is the obligation of the owner to inform the turbine supplier about power curve tests. Sometimes, the turbine supplier has explic- itly the right to optimise the power curve before the power curve verification starts. This regulation makes it nearly impossible for the owner to proof a breach of the power curve warranty, which was present before such an optimisation. The right to optimise the power curve before the verification of the warranty seems justified only if the condition of the turbine is not in the responsibility of the turbine supplier. Otherwise, e.g. in case of the presence of full service contracts be- tween the owner and the turbine supplier, the warranted power curve should always be reached without optimisation by the turbine supplier prior to a power curve test, and the owner should have the right to perform blind tests. 3 Limitation on General Verification Procedure Most power curve warranties require verifi- cation tests being performed on the basis of the standard IEC 61400-12-1 [1]. This seems being justified as IEC 61400-12-1 is so far the only international standard on power curve tests and as the general proce- dure outlined in this standard is well ac- cepted. However, the standard IEC 61400-12-1 has practical shortcomings: Tests according to this standard are expensive as met masts reaching hub height are required. In com- plex terrain, the method is applicable only if a site calibration with additional masts has been performed prior to the installation of the turbines. Furthermore, only turbines at the boarder of wind farms can be tested. These shortcomings are a true burden for turbine owners to perform verifications of the warranted power curve at all, and some- times power curve tests are just impossible. Thus, alternative procedures for the verifica- tion of power curves should be seriously considered for power curve warranties, at least for cases, where an application of the standard IEC 61400-12-1 is difficult. In many cases, advanced nacelle anemometry ac- cording to the draft standard CD IEC 61400- 12-2 [2] is a proper power curve verification procedure. Also the application of lidars on nacelles for power curve testing is expected to become a good alternative power curve verification procedure in the near future [3]. Especially offshore, where the application of met masts is extremely expensive, power curve verifications may be feasible also on the basis of wind measurements with a scanning lidar mounted on the turbine sup- port structure at the tower foot. This proce- dure is very close to the draft revision of the standard IEC 61400-12-1 [4]. All of the alternative power curve verification procedures are still linked to higher uncer- tainties than the application of IEC 61400- 12-1. This should be no reason for the tur- bine supplier to reject these methods, as the warranty level is normally reduced by the uncertainty of the power curve verification. On the other hand, the owner can consider the alternative verification procedures as trade-off of the provided warranty level and the effort for power curve verifications. It is pointed out that the author has success- fully implement alternative verification pro- cedures in power curve warranties. 4 Limitation on Special Test Conditions A clear trend has been observed over the past few years that power curve verification procedures as defined in standard warran- ties require more and more special test con- ditions, often far beyond the requirements defined in IEC 61400-12-1 and sometimes in contradiction to some requirements defined in IEC 61400-12-1. Many standard warranties require additional data filtering on atmospheric conditions, like on turbulence intensity, wind shear, vertical flow inclination, air density, air temperature and wind direction. This seems justified from the viewpoint of the turbine supplier, who may intend to warrant the power curve only under well defined environmental conditions (warranty of generic power curve). However, the consequence for the turbine owner can be that the power curve tested under such special atmospheric conditions may not be representative for the wind farm site any- more and may thus be of limited value for economic considerations (e.g. wind re- source assessments). Sometimes, the addi- tional data filtering leads to very idealised measured power curves, which are just too
  • 3. optimistic for economic considerations, i.e. the warranty level is indirectly lowered by the filtering. In other cases, the definition of special test conditions seems being quite arbitrary, and the intention of the turbine supplier to well define the testing conditions is clearly not met. Figure 1 illustrates the effect of special data filters as defined in power curve warranties on the measurement results in terms of the annual energy pro- duction (AEP). The influence on the AEP varies approximately from -3 % to +3 %, but in the majority of the cases, the AEP is im- proved by the special data filtering, i.e. the verified power curve tends being overopti- mistic for the wind farm site. In order to overcome the conflict of warrant- ing a power curve for well defined conditions (intention of turbine supplier) and getting a warranted power curve representative for the wind farm site (intention of owner), war- ranted power curves should be defined site specific rather than generic. The new draft revision of the standard IEC 61400-12-1 [4] provides methodologies to normalise power curve data in terms of the turbulence inten- sity and wind shear to pre-defined site spe- cific conditions [5]. In terms of the air den- sity, such data normalisation is common practice since a long time. Potential short- comings of the normalisation procedures are covered by additional uncertainties, which again reduce the warranty level. This should be acceptable for the turbine supplier and for the owner. Another advantage of data normalisation about data filtering is that the extension of the measurement period, as sometimes caused by data filtering, is avoided. -3 -2 -1 0 1 2 3 4 0 5 10 15 20 25 30 test number [-] AEPspecialfilter-AEPIECfilter[%] Figure 1: Influence of special data filtering as defined in power curve warranties on the measurement results in terms of the annual energy production (AEP). Shown is the AEP of the power curve under special data filter- ing minus the AEP of the power curve fil- tered according to IEC 61400-12-1 in per- cent for 26 test cases. Other special testing conditions defined in some standard power curve warranties are related to certain conditions of the tested turbines. The justification of such turbine conditions must be checked case by case: It is mostly plausible to exclude special turbine conditions from power curve tests, for which the turbine supplier is not responsible, e.g. situations with improper grid conditions or noise reduced operation. Other special con- ditions, like e.g. automatic load reduction, may be considered as the turbine condition representative for the wind farm site and should thus not be excluded from power curve tests. A few standard warranties re- quire even the cut-in hysteresis to be ex- cluded from power curve verifications. This is completely unjustified, as the cut-in hys- teresis can be well measured and forms a normal, although turbulence dependent, part of the power curve. Excluding the cut-in hysteresis leads to a systematic improve- ment of measured power curves in favour of turbine suppliers. Many standard warranties require the application of database B ac- cording to IEC 61400-12-1 instead of data- base A (main result according to current version of IEC 61400-12-1). Database A includes the high wind cut-off hysteresis, while database B excludes the cut-off hys- teresis from power curve tests. The use of database B is supported by the fact that often not much data is present in the wind speed range where the high wind hysteresis takes place, what can lead to quite arbitrary measurement results. On the other hand, database B does not cover potential prob- lems of a turbine to keep rated power at high wind speeds and can lead to overoptimistic AEP calculations. Furthermore, the arbitrari- ness of database A is expressed by a higher statistical uncertainty of the measurement, what reduces automatically the warranty level. Thus database A should be accept- able for the turbine supplier and for the owner. Some standard power curve warranties in- clude special conditions on the terrain at the test site, which by far exceed the require- ments defined in the standard IEC 61400- 12-1. Most of these requirements are rather arbitrary, what is expressed by the fact how different these additional requirements are among the turbine suppliers and how often such requirements are changed by certain turbine suppliers. Sometimes, the additional requirements make a power curve verifica-
  • 4. tion impossible, what invalidates the whole power curve warranty. Additional require- ments on the terrain conditions are justified only at extreme sites. Some standard power curve warranties have additional requirements on the posi- tioning of met masts beyond the require- ments defined in IEC 61400-12-1, like posi- tioning the mast upwind of the turbine in the main wind direction or in short distances to the turbine. Such additional requirements normally intend to improve the correlation of wind speeds measured at the met mast and present at the test turbine. However, in complex terrain positioning of the mast up- wind of the test turbine can be an improper choice leading to systematic errors of the site calibration. Furthermore, lowering the distance between mast and turbine is some- times not practicable. Thus, the feasibility and appropriateness on additional require- ments on mast positions must be judged for each wind farm site separately. Certain standard power curve warranties contain additional requirements on the de- sign of met masts, exceeding the require- ments defined in IEC 61400-12-1. Most of these requirements are intended to improve the measurement accuracy, can be easily fulfilled and do not change the measured power curve in a certain direction. However, there are more critical requirements, like e.g. requesting the masts not exceeding hub height, leading to small systematic im- provements of the measured power curves in the case that masts reaching exactly hub height cannot be realised. 5 Critical Aspects of Criteria of Fulfil- ment of Power Curve Warranties There are still power curve warranties exist- ing, where the treatment of the uncertainties of power curve verification tests is not de- fined. Experience as court adviser shows, that courts normally count the uncertainty of the verification procedure in favour of the turbine supplier if the treatment of the uncer- tainty is not contractually agreed otherwise. As the uncertainties of power curve verifica- tions are considerable, the treatment of the uncertainties should always be defined in the warranty. Most standard power curve warranties in- clude a reduction of the warranty level by the uncertainty of the power curve verifica- tion. This principle is justified as the turbine supplier cannot be hold responsible for the uncertainty of the power curve verification. However, most standard warranties include a reduction of the warranty level by one standard uncertainty of the power curve verification. By assuming a Gaussian distri- bution for the uncertainty assessment, this regulation implicitly means that the true power curve of the test turbine does not reach the warranted power curve by a prob- ability of 84 % as condition for a breach of the power curve warranty. The choice of the probability of 84 % is rather arbitrary. Refer- ence [6] shows examples where clear short- comings of power curves were present al- ready in the case of power curve tests where the true power curve does not reach the warranted power curve by a probability of only 70 %. The probability of 70 % is equal to the case that the deviation of the measured and warranted power curve is 0.52 times the standard uncertainty of the test. Thus, the warranty level provided by power curve warranties should be reduced only by 0.52 times the standard uncertainty rather than by the full standard uncertainty. Some standard power curve verifications include minimum uncertainties to be as- sumed for the assessment of the verified power curve. Some of these assumptions are very conservative and do lack any tech- nical reasoning. Such conservative uncer- tainty assumptions lead to an improper, systematic and hidden lowering of the war- ranty level. The uncertainty assumptions should rather be as realistic as possible. The standard IEC 61400-12-1 suggests a methodology how to accumulate different uncertainties of power curve measurements to an uncertainty in terms of the annual en- ergy production. The exact formulation is given by formula E.4 of the standard IEC 61400-12-1. IEC 61400-12-1 includes fur- ther an approximation of formula E.4 given by formula E.5. Formula E.5 systematically increases the uncertainty in terms of the AEP over formula E.4 by about 10 %. De- spite the fact that formula E.4 represents the exact formulation, some standard power curve warranties require formula E.5 to be applied for the calculation of the uncertainty in terms of the AEP. This is considered as being extremely unfair and reduces system- atically the warranty level (clearly hidden for non-experts). Most standard power curve warranties re- quire the measured power curves being extrapolated to the cut-off wind speed for the comparison with the warranted power curve
  • 5. in terms of the AEP. This procedure is fair only if the cut-off wind speed is realistic, especially if the measured power curve is required being evaluated according to data- base B (high wind cut-off hysteresis not included in measurement). Most cut-off wind speeds given by turbine suppliers do not refer to 10-minute periods, i.e. most turbines effectively cut-off at wind speeds referring to 10-minute periods as relevant for wind re- source assessments below the cut-off wind speeds given by turbine suppliers. In addi- tion, most warranted power curves do not represent the high wind cut-off hysteresis of the turbine but are rather extended to the cut-off wind speed relevant for an averaging period below 10 minutes (re-cut-in not rep- resented at all). Extending the measured power curve to this less representative cut- off wind speed leads to a reduction of the deviation of the measured and warranted power curve. This can be critical at high wind sites. Another problem of this practice is that the uncertainty calculation according to IEC 6140-12-1 refers only to the non- extended measured power curve, i.e. the uncertainty assumed for the reduction of the warranty level or for the evaluation of the criteria of fulfilment of the warranty does not fully match the compared AEP’s. A more appropriate procedure is to perform the AEP calculations for the measured power curve and the warranted power curve only up to the wind speed covered by the measured power curve. By this, the AEP calculations are treated equally for both power curves, no speculation of the true power curve in the wind speed range not covered by the power curve has to be made, and the calculated uncertainty matches to the AEP-calculation. Another critical aspect of most standard power curve warranties is that the criterion of fulfilment is defined for the mean of the measured power curves (normally for the mean AEP) by taking the mean uncertainty of the power curve tests into account, i.e. the power curve warranty is fulfilled if the mean of the measured power curves plus the mean standard uncertainty of the power curve tests exceeds the warranted power curve in terms of the AEP. In fact, the mean of the measured power curves is linked to a slightly lower uncertainty than the mean uncertainty of single power curve measure- ments, because some uncertainty compo- nents are independent between the single measurements (e.g. uncertainty of site ef- fects). Thus, the criterion on the mean power curve should rather be evaluated as follows: ● The single uncertainty components should be cumulated between the single power curve measurements in a physi- cally meaningful way in terms of the AEP by considering for each component the correlation among the measurements. ● Based on this cumulating of uncertain- ties, a weighted AEP should be calcu- lated such from the single measurements that a minimum uncertainty results for the weighted AEP, rather than just calculat- ing the arithmetic average of the meas- ured power curves in terms of the AEP. This weighted AEP and the associated uncertainty should be relevant for the evaluation of the criterion of fulfilment of the warranty. It is pointed out that both of the above measures are linked to a (small) reduction of the uncertainty of the mean AEP, i.e. the warranty level is slightly increased com- pared to the less sophisticated procedure of most standard warranties. As is explained in chapter 2, an appropriate power curve warranty should cover also significant shortcomings of power curves of single turbines in addition to a warranty on the mean of the turbines. In terms of the criterion of fulfilment of the warranty of the power curves of single turbines, it makes sense to account the uncertainty of each single power curve test for each individual machine. As this uncertainty is normally higher than the above described uncertainty of the mean power curve, the warranty level for individual turbines is automatically re- duced. 6 Critical Aspects of Compensation Rules Some standard power curve warranties pro- vide compensation in case of underperfor- mance only for the warranty period. This is very critical for turbine owners if the war- ranty period is only in the range of 2 to 5 years, because then the warranty covers only underperformance for a small fraction of the expected lifetime of the turbines. Thus, compensation should be provided by the power curve warranty for the entire pe- riod where the underperformance is present, even if this period exceeds the warranty period. However, it is considered being fair that the fulfilment of the power curve war-
  • 6. ranty can be verified by the owner only within the warranty period. Another shortcoming of most standard power curve warranties is that compensation for underperformance is paid only after un- successful trials of optimisation of the power curve by the turbine supplier. The key issue of this regulation is that the optimisation of the power curve and the re-measurement to proof the optimisation can take very long. Furthermore, quite often problems with the acceptance and interpretation of measure- ment results by the turbine owner and by the turbine supplier are observed. Thus, some- times compensation gets due only after years of measurements and discussions (sometimes never), while the turbine owner is suffering from underperformance of the wind farm. In order to overcome this, com- pensation should be payable by the turbine supplier as soon as the owner proofs under- performance according to the procedures defined in the warranty, i.e. the compensa- tion period should start with the start of the relevant measurements of the owner, inde- pendent from possible re-measurements or optimisation by the turbine supplier. Com- pensation should be payable until the tur- bine supplier proofs by the procedures de- fined in the warranty that the warranted power curve is met. A further shortcoming of many standard power curve warranties is that the compen- sation for underperformance is kept propor- tional to the true energy yield in reference periods. If then the warranted power curve and the warranted availability level are not reached at the same time, the compensation for the underperformance of power curves is lowered by a too low availability (see illustra- tion in Figure 2). Thus, the compensation for underperformance in terms of the power curve should be kept proportional to the true energy yield scaled by the ratio of the war- ranted and true availability if both warranties are not met at the same time. Alternatively, the compensation for underperformance in terms of the availability should be kept pro- portional to the true energy yield scaled by the ratio of the warranted and true power curve. Another, less sophisticated, method is to compensate underperformance in terms of the power curve as a lump sum proportional to the expected energy yield. Another often observed critical aspect of power curve warranties is a very low maxi- mum liability, e.g. of only 5 % of the turbine purchase price. Under such low liability lev- els, the warranty cannot be expected to compensate true significant underperfor- mance in terms of the power curve. The liability should cover at least 20 % of the turbine purchase price. 0.0 0.2 0.4 0.6 0.8 1.0 1.2 0.0 0.2 0.4 0.6 0.8 1.0 1.2 time [-] powerlevel[-] warranted power level warranted availability level true power level true availability level covered by power curve warranty coveredby avail.warranty not covered Figure 2: illustration of problem of scaling compensation for underperformance in terms of power curve and availability propor- tional to the true energy yield 7 Conclusions ● Many regulations offered these days by turbine suppliers in standard power curve warranties are deemed being unbal- anced. ● Many power curve warranties are hardly capable to significantly reduce the risk of turbine owners linked to power curve un- derperformance. The associated risks should be considered in economic con- siderations, e.g. in uncertainties of wind resource assessments and when com- paring prices of wind turbines. ● Wind turbine suppliers should rather warrant a site specific power curve, which is adjusted to the conditions ex- pected in a certain wind farm, rather than generic power curves, which are valid only under idealised conditions. This would contribute to more realistic yield expectations of wind farms. 8 References [1] IEC 61400-12-1, Wind turbines - Part 12-1: Power performance measure- ments of electricity producing wind tur- bines, 2005 [2] IEC 61400-12-2 Committee Draft, Wind turbines - Part 12-2: Power performance measurements of electricity producing wind turbines based on nacelle anem- ometry, 2008 [3] Wagner R., Pedersen TF., Courtney M., Gottschall J., Antoniou I., Møller R.,
  • 7. Pedersen SM., Le N., Mouritzen AS., Velociter T., Bardon M.; Power perform- ance measured using a nacelle-based lidar, proceedings of EWEA 2011, Brus- sels [4] IEC 61400-12-1, Edition 2 Committee Draft, Wind turbines - Part 12-1: Power performance measurements of electricity producing wind turbines, September 2011 [5] Albers A.; Turbulence and Shear Nor- malisation of Wind Turbine Power Curve Data, proceedings of EWEC 2010, War- saw [6] Albers A.; Relative and Integral Wind turbine Power Performance Evaluation, proceedings of EWEC 2004, London