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FRANCIS MITCHELL MS, PE
GIS PROCEDURE FOR PRELIMINARY
EVALUATION OF POTENTIAL
HYDROPOWER SITES
PRESENTATION FOR:
PRESENTED BY:
OBJECTIVE
A GIS based analysis of potential hydropower sites is
useful for planning and prioritizing development
projects for government entities, developers, and
renewable energy companies. This is a fast procedure
to quantify available potential. The preliminary
identification, and ranking of these sites provide the
justification for further in-depth studies.
SOFTWARES
QGIS
• R.Contour.Step
• R.Watershed
• R.Water.Outlet
• R.To.Vect
• R.Relief
• V.To.Rast.Attribute
• NNJOIN
• Landscape Ecology
• Zonal Statistic
EXCEL
• Visual Basic
GOOGLE EARTH
• Maps History
PROCEDURE
Data Gathering
Data Processing
Hydrologic Analysis
Hydraulic Analysis
Exhibits
DATA GATHERING
QUAD MAP AERIAL MAP LIDAR DEM
RAINFALL FLOW DATA LAND COVER SOIL MAP
EVAPORATION RIVERS WATERFALLS FAULT LINES
DATA PROCESSING
DEM
R.Contour.Step
DEM RASTER FORMAT DEM VECTOR FORMAT
DATA PROCESSING
RAINFALL DEPTH (P)
R.Contour.Step
(P) RASTER FORMAT (P) VECTOR FORMAT
THIS PROCESS IS REPEATED FOR ALL THE MONTHS
DATA PROCESSING
EVAPORATION (PET)
R.Contour.Step
(PET) RASTER FORMAT (PET) VECTOR FORMAT
THIS PROCESS IS REPEATED FOR ALL THE MONTHS
DATA PROCESSING
SOILS TYPE
R.To.Vect
SOILS RASTER FORMAT SOILS VECTOR FORMAT
ATTRIBUTES ARE MANIPULATED TO ADD HYDROLOGIC SOIL GROUP A, B, C,
D, AND SOILS STORAGE CAPACITY BASED ON CLASSIFICATION
DATA PROCESSING
LAND COVER
R.To.Vect
COVER RASTER FORMAT COVER VECTOR FORMAT
ATTRIBUTES ARE MANIPULATED TO ADD SCS-CN (CURVE NUMBER), BASED
ON LAND COVER TYPE
DATA PROCESSING
SCS-CN
NNJOIN
V.To.Rast.Attribute
VECTOR FORMAT SCS-CN VECTOR, RASTER FORMAT
ATTRIBUTES ARE MANIPULATED TO UPDATE SCS-CN (CURVE NUMBER),
BASED ON LAND COVER TYPE, AND HYDROLOGIC SOIL GROUPS
VECTOR
SOIL
VECTOR
SCS-CN
DATA PROCESSING
WATERSHEDS LIMITS
R.Watershed
DEM RASTER FORMAT RASTER FORMAT
Stream Segment
Half Basins
DATA PROCESSING
SITE BASIN
R.Water.Outlet
STREAM SEGMENT RASTER FORMAT VECTOR FORMAT
POTENTIAL SITE POTENTIAL SITE
A POINT ALONG THE STREAM SEGMENT IS SELECTED AS THE LOCATION OF
THE DIVERSION STRUCTURE, AND THE SITE BASIN POLYGON IS CREATED
DATA PROCESSING
SITE BASIN - DATA
Landscape
Ecology
or
Zonal
Statistic
POPULATE DATA FROM P, PET, SOIL, SCS-CN TO SITE ATTRIBUTE
VECTOR
SITE BASIN
RASTER
RAINFALL
RASTER
EVAPORATION
RASTER
SOIL
RASTER
SCS-CN
PARTIAL SNAPSHOT
HYDROLOGIC ANALYSIS
HYDROLOGIC CYCLE
HYDROLOGIC ANALYSIS
WATER BALANCE
PETP
AET
DFLOW
BFLOW1
BFLOW2
RUNOFF
GWLOSS
PSUB
GWL
GWF
P = AET + RUNOFF + DFLOW + GWLOSS + BFLOW1+ S
P Precipitation
PET Potential Evapotranspiration
AET Actual Evapotranspiration
RUNOFF Surface Runoff (SCS)
DFLOW Direct Flow to Stream
BFLOW1 Base Flow from Within Watershed
GWLOSS Flow Loss to Groundwater
BFLOW2 Base Flow from Outside Watershed
S Change in Groundwater Storage
DEFINITION:
RFLK
HYDROLOGIC ANALYSIS
CALIBRATION VARIABLES
PETP
AET
DFLOW
BFLOW1
BFLOW2
RUNOFF
GWLOSS
PSUB
GWL
GWF
RFLK PSUB GWF GWL
RFLK Fraction of Surface Runoff Flowing
to the Stream
PSUB Fraction of Runoff Reaching the
Groundwater Layer
GWF Fraction of Groundwater Flowing to
the Stream
GWL Fraction of Groundwater Flowing
out of the Watershed
DEFINITION:
RFLK
HYDROLOGIC ANALYSIS
RUNOFF
Excess Runoff
Soil Storage
SCS Curve Number CN
Dry Condition when (P/PET) < 0.8 – Antecedent Moisture Condition (I)
Normal Condition when 0.8 ≤ (P/PET) < 0.9 – Antecedent Moisture Condition (II)
CN(II)=CN
Wet Condition when (P/PET) ≥ 0.9 – Antecedent Moisture Condition (III)
 
)8.0(
2.0
*
2
SP
SP
RFLKRUNOFF



CN
CN
S 254
25400

)(058.010
)(2.4
)(
IICN
IICN
ICN


)(13.010
)(23
)(
IICN
IICN
IIICN


HYDROLOGIC ANALYSIS
AET
Actual Evapotranspiration
Soil Storage Ratio
Where:
STORAGE is the available soil water storage at given time
NOMINAL is the soil storage capacity for the type of soil
Precipitation Ratio
Actual Evapotranspiration
Where:
P is the monthly precipitation depth
PET is the monthly potential evapotranspiration depth
NOMINAL
STORAGE
STORAT 
PET
P
PRERAT 
PETPRERAT
STORATSTORAT
AET **
2
1
2 


















HYDROLOGIC ANALYSIS
EXMRAT
Excess Soil Moist Ratio
Water Balance
WATBAL = P - AET
Where:
P is the monthly precipitation depth
AET is the monthly actual evapotranspiration depth
For WATBAL < 0
EXMRAT = 0
Case when STORAT > 1
EXMRAT = 1 – (0.5 * (2 – STORAT)2)
Case when STORAT ≤ 1
EXMRAT = 0.5 * (STORAT)2
HYDROLOGIC ANALYSIS
EXMST, GWRECH, DELSTO
Excess Soil Moist Storage
Ground Water Recharge
Where:
PSUB could be estimated as follow
PSUB = 0.8 for Watershed with high soil permeability
PSUB = 0.3 for Watershed with low soil permeability
Change in Groundwater Storage
WATBALEXMRATEXMST *
EXMSTPSUBGWRECH *
EXMSTWATBALDELSTO 
HYDROLOGIC ANALYSIS
DFLOW, BFLOW1, GWLOSS
Direct Flow
DFLOW = EXMST - GWRECH
Ground Water Layer Final Storage
GWSTORAGE2 = GWSTORAGE1 + GWRECH
River Base Flow from Ground Water Layer
BFLOW1 = GWF * GWSTORAGE2
Where:
GWF could be estimated as follow
GWF = 0.9 for Watershed with little sustained flow
GWF = 0.2 for Watershed with reliable sustained flow
Fraction of Ground Water Flowing out of the Watershed
GWLOSS = GWSTORAGE2 * GWL
HYDROLOGIC ANALYSIS
BFLOW2, FLOW
River Base Flow from Ground Water Layer outside of Watershed
BFLOW2 = (specified values adjusted for calibration)
Ground Water Layer Initial Storage for next Month Analysis
GWSTORAGE1 = GWSTORAGE2 - BFLOW1 - GWLOSS
Upper Soil Layer Moisture Storage Capacity at end of Time Period
STORAGE = STORAGE + DELSTO
River Discharge
FLOW = (RUNOFF + DFLOW + BFLOW1 + BFLOW2) * WATERSHED AREA
(#DAYS in MONTH * 24 * 60 * 60)
The river flow for each month is calculated following this procedure. It usually takes
20 iterations (years) for the monthly flows to converge.
HYDROLOGIC ANALYSIS
CALIBRATION
CALIBRATION IS ACHIEVED BY VARYING RFLK, PSUB, GWF, GWL
HYDRAULIC ANALYSIS
TYPICAL LAYOUT OF A HYDROPOWER FACILITY
HYDRAULIC ANALYSIS
Type of Dams
Gravity Dam with Reservoir
Tyrolean Dam without Reservoir
HYDRAULIC ANALYSIS
Type of Turbines
PELTON TURBINE
HYDRAULIC ANALYSIS
Type of Turbines
TURGO TURBINE
HYDRAULIC ANALYSIS
Type of Turbines
FRANCIS TURBINE
HYDRAULIC ANALYSIS
Type of Turbines
KAPLAN TURBINE
HYDRAULIC ANALYSIS
Type of Turbines
CROSSFLOW TURBINE
HYDRAULIC ANALYSIS
Typical Turbine Efficiency
1 Turbine 2 Turbines
3 Turbines 4 Turbines
HYDRAULIC ANALYSIS
Site Classification
SITE CLASSIFICATION POWER RANGE
Pico P<= 50 KW
Micro 50 < P <= 100 KW
Mini 100 < P <= 500 KW
Small 500 < P <= 1,000 KW
Macro 1,000 < P <= 10,000 KW
Large P > 10,000 KW
HYDRAULIC ANALYSIS
Required Input
• River Monthly, Minimum, and Maximum Flow
• River Flow Exceedance Curve
• Turbine Design Flow
• Turbine Type
• Number of Turbines
• Dam Water Surface Elevation
• Reservoir Storage Area and Working Height
• Penstock Diameter, Length, and Friction Coefficient
• Canal Width, Length, and Friction Coefficient
• Power House Tailrace Elevation
• Generator Efficiency
• Powerline Efficiency
HYDRAULIC ANALYSIS
Graphical Input
TAILWATER EL.
HIGH WATER EL.
LOW WATER EL.
STORAGEHEIGHT
TURBINE
• TYPE
• NUMBER
GROSSHEAD
P = ρ g E Q H
P Power (KW)
ρ 1000 (kg/m3)
g 9.806 (m/s2)
E Efficiency
Q Flow (m3/s)
H Head (m)
HYDRAULIC ANALYSIS
Analysis Output
• Site Gross Power
• Monthly Average Power
• Yearly Minimum Power
• Yearly Maximum Power
• Site Total Energy Produced
• Site Average Efficiency
• Site Maximum Efficiency
• Penstock Head-loss Percentage
• Penstock Maximum Velocity
• Turbine Recommended Optimum Flow
• Turbine Suitability Graph
• Site Classification
HYDRAULIC ANALYSIS
Flow Exceedance
Definition:
• The “Flow Exceedance” curve or the “Percent Exceeds” curve, represent the
rating or the number of times in percent a given value of a river flow is equaled
or exceeded.
• This graph is useful for setting the turbine flow, and calculate the amount of
energy that could be produced.
HYDRAULIC ANALYSIS
Turbine Applicability
Turbine
Type
Minimum
Flow Range
(m
3
/s)
Maximum
Flow Range
(m
3
/s)
Minimum
Head
(m)
Maximum
Head
(m)
Optimum
Flow
Exceedance
(%)
Ratio Minimum
Flow to Design
Flow
(%)
Cross-Flow 0.05 10.00 2.00 200.00 10 33
Francis 0.50 900.00 10.00 400.00 25 40
Pelton 0.01 60.00 50.00 1000.00 10 20
Turgo 0.01 10.00 50.00 500.00 20 20
Kaplan 0.50 50.00 4.00 100.00 15 35
HYDRAULIC ANALYSIS
Design Flow
Set Range of River Flows
RiverFlowMin = Minimum River Flow
RiverFlowMax = Maximum River Flow
Set Project Design Flow
DesignFlow = User input based on turbine type
Set Penstock Flow
PipeFlow = DesignFlow
Set Maximum Controlling Flow
Case when PipeFlow ≤ RiverFlowMax
QMax = PipeFlow
Case when PipeFlow > RiverFlowMax
QMax = RiverFlowMax
Set Turbine(s) Unit Flow
TurbineFlow = QMax * 3
(2 * Nturbine + 1)
HYDRAULIC ANALYSIS
Penstock Losses
Entrance Loss
HL = KE V 2
2G
Bend Loss
HL = KB V 2
2G
Valve Loss
HL = KV V 2
2G
Pipe Loss
HL = L * 19.164 n 2 V 2
R 4/3 2G
Exit Loss
HL = KE V 2
2G
Penstock Efficiency
EP = H - ∑HL
H
Default Entrance Loss Coefficient
KE = 0.04 (Bell Mouth)
Default Bend Loss Coefficient
Φ = 15°
#Bends = Penstock Length / 200 m
200 m bends spacing is defaulted
Default Valve Loss Coefficient
KV = 0.17 (Gate Valve)
One valve is accounted for in VB Macro
90
*25.0

BK
HYDRAULIC ANALYSIS
Turbines Efficiency
Cross-Flow Turbine Efficiency
ET = -0.27946 + (13.068 * A) - (81.222 * A 2) + (275.787 * A 3) - (534.982 * A 4) +
(592.367 * A 5) - (348.08 * A 6) + (84.1433 * A 7)
Francis Turbine Efficiency
ET = -1.38959 + (17.6433 * A) - (70.5159 * A 2) + (174.261 * A 3) - (273.511 * A 4) +
(266.656 * A 5) - (146.992 * A 6) + (34.6991 * A 7)
Pelton Turbine Efficiency
ET = 0.00714 + (11.0712 * A) - (63.874 * A 2) + (207.119 * A 3) - (396.07 * A 4) +
(440.759 * A 5) - (262.98 * A 6) + (64.8347 * A 7)
Turgo Turbine Efficiency
ET = 0.131789 + (6.86047 * A) - (35.21 * A 2) + (105.665 * A 3) - (186.658 * A 4) +
(191.065 * A 5) - (104.956 * A 6) + (23.9621 * A 7)
Kaplan Turbine Efficiency
ET = -0.157845 + (5.16567 * A) - (12.5331 * A 2) + (18.6549 * A 3) - (16.1621 * A 4) +
(6.06582 * A 5) + (0.91835 * A 6) - (1.05123 * A 7)
Where A is the ratio of the River Flow over the Turbine Rated Flow
HYDRAULIC ANALYSIS
Water to Wire
Power Plant Efficiency
E = EP * ET * EG * EL
Where:
EP is the pipe efficiency
ET is the turbine efficiency
EG is the generator efficiency
EL is the transmission line efficiency
Power
P = ρ g E Q H
Typical Water to Wire efficiency varies from around 65% to 75%. Higher Water to Wire
efficiency is possible by using large pipes that will decrease the head-loss. However,
the increase in pipe size is not always economical.
HYDRAULIC ANALYSIS
Sample Output
FLOW PGRS PMAX PAVG PMIN TOTAL ENERGY E MAX E AVG TURBINE
(m3
/s) (KW) (KW) (KW) (KW) (KWH) % % TYPE
0.9931 379.80 280.94 103.41 24.72 905,860.33 73.97% 27.23% Mitchell
4.2000 2677.04 1755.49 1273.71 634.26 11,157,736.77 65.58% 47.58% Francis
0.2160 675.67 526.45 245.56 100.61 2,151,107.62 77.91% 36.34% Pelton
1.1967 9857.27 7958.31 4394.40 175.45 38,494,915.44 80.74% 44.58% Propeller
2.3200 1478.74 1218.10 1008.56 608.28 8,834,946.86 82.37% 68.20% Turgo
165.2000 37258.88 27487.41 18126.53 6184.26 158,788,427.59 73.77% 48.65% Kaplan
2.4520 456.84 335.84 169.55 45.71 1,485,224.10 73.51% 37.11% Ossberger
OPTIMUM OPERATING CONDITION FOR DIFFERENT TURBINE TYPE
EXHIBITS
EXHIBITS
EXHIBITS
EXHIBITS
EXHIBITS
EXHIBITS
EXHIBITS
EXHIBITS
REFERENCES
• Hydrologic Cycle Sketch
https://www.britannica.com/science/water-cycle
• Typical Run of the River Hydropower Plant Sketch
http://www.sswm.info/content/hydropower-small-scale
• Gravity Dam with Reservoir Photo by Gregory Morris – Peligre Haiti
http://glmengineers.com/pdesc_re.php?2
• Tyrolean Dam without Reservoir Photo by North Harris Trust
http://www.north-harris.org/tag/hydro-electric-schemes/
• Pelton and Turgo Cut View
http://www.eternoohydro.com/turbines/impulse-turbines.html
• Francis Turbine Cut View
http://www.eternoohydro.com/turbines/francis-turbines.html
• Kaplan Turbine Cut View
http://www.eternoohydro.com/turbines/axial-flow-turbines.html
• Cross-Flow Turbine Cut View
http://www.ossberger.de/cms/pt/hydro/ossberger-turbine/
• Water Balance Procedure
Dr. Norman H. Crawford, and Steven M. Thurin, “Hydrologic Estimates for
Small Hydroelectric Projects”. Hydrocomp, Inc. NRECA , September 1981
• Typical Components of a Hydro Facility
Creager, W. P., and J. D. Justin, “Hydroelectric Handbook”, 2nd ed. New
York: John Wiley & Sons, Inc., 1950
THANK YOU FOR YOUR TIME
FRANCIS MITCHELL MS, PE
F-MITCHELL@ATT.NET
305-979-6387

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GIS PROCEDURE FOR PRELIMINARY EVALUATION OF POTENTIAL HYDROPOWER SITES

  • 1. FRANCIS MITCHELL MS, PE GIS PROCEDURE FOR PRELIMINARY EVALUATION OF POTENTIAL HYDROPOWER SITES PRESENTATION FOR: PRESENTED BY:
  • 2. OBJECTIVE A GIS based analysis of potential hydropower sites is useful for planning and prioritizing development projects for government entities, developers, and renewable energy companies. This is a fast procedure to quantify available potential. The preliminary identification, and ranking of these sites provide the justification for further in-depth studies.
  • 3. SOFTWARES QGIS • R.Contour.Step • R.Watershed • R.Water.Outlet • R.To.Vect • R.Relief • V.To.Rast.Attribute • NNJOIN • Landscape Ecology • Zonal Statistic EXCEL • Visual Basic GOOGLE EARTH • Maps History
  • 4. PROCEDURE Data Gathering Data Processing Hydrologic Analysis Hydraulic Analysis Exhibits
  • 5. DATA GATHERING QUAD MAP AERIAL MAP LIDAR DEM RAINFALL FLOW DATA LAND COVER SOIL MAP EVAPORATION RIVERS WATERFALLS FAULT LINES
  • 7. DATA PROCESSING RAINFALL DEPTH (P) R.Contour.Step (P) RASTER FORMAT (P) VECTOR FORMAT THIS PROCESS IS REPEATED FOR ALL THE MONTHS
  • 8. DATA PROCESSING EVAPORATION (PET) R.Contour.Step (PET) RASTER FORMAT (PET) VECTOR FORMAT THIS PROCESS IS REPEATED FOR ALL THE MONTHS
  • 9. DATA PROCESSING SOILS TYPE R.To.Vect SOILS RASTER FORMAT SOILS VECTOR FORMAT ATTRIBUTES ARE MANIPULATED TO ADD HYDROLOGIC SOIL GROUP A, B, C, D, AND SOILS STORAGE CAPACITY BASED ON CLASSIFICATION
  • 10. DATA PROCESSING LAND COVER R.To.Vect COVER RASTER FORMAT COVER VECTOR FORMAT ATTRIBUTES ARE MANIPULATED TO ADD SCS-CN (CURVE NUMBER), BASED ON LAND COVER TYPE
  • 11. DATA PROCESSING SCS-CN NNJOIN V.To.Rast.Attribute VECTOR FORMAT SCS-CN VECTOR, RASTER FORMAT ATTRIBUTES ARE MANIPULATED TO UPDATE SCS-CN (CURVE NUMBER), BASED ON LAND COVER TYPE, AND HYDROLOGIC SOIL GROUPS VECTOR SOIL VECTOR SCS-CN
  • 12. DATA PROCESSING WATERSHEDS LIMITS R.Watershed DEM RASTER FORMAT RASTER FORMAT Stream Segment Half Basins
  • 13. DATA PROCESSING SITE BASIN R.Water.Outlet STREAM SEGMENT RASTER FORMAT VECTOR FORMAT POTENTIAL SITE POTENTIAL SITE A POINT ALONG THE STREAM SEGMENT IS SELECTED AS THE LOCATION OF THE DIVERSION STRUCTURE, AND THE SITE BASIN POLYGON IS CREATED
  • 14. DATA PROCESSING SITE BASIN - DATA Landscape Ecology or Zonal Statistic POPULATE DATA FROM P, PET, SOIL, SCS-CN TO SITE ATTRIBUTE VECTOR SITE BASIN RASTER RAINFALL RASTER EVAPORATION RASTER SOIL RASTER SCS-CN PARTIAL SNAPSHOT
  • 16. HYDROLOGIC ANALYSIS WATER BALANCE PETP AET DFLOW BFLOW1 BFLOW2 RUNOFF GWLOSS PSUB GWL GWF P = AET + RUNOFF + DFLOW + GWLOSS + BFLOW1+ S P Precipitation PET Potential Evapotranspiration AET Actual Evapotranspiration RUNOFF Surface Runoff (SCS) DFLOW Direct Flow to Stream BFLOW1 Base Flow from Within Watershed GWLOSS Flow Loss to Groundwater BFLOW2 Base Flow from Outside Watershed S Change in Groundwater Storage DEFINITION: RFLK
  • 17. HYDROLOGIC ANALYSIS CALIBRATION VARIABLES PETP AET DFLOW BFLOW1 BFLOW2 RUNOFF GWLOSS PSUB GWL GWF RFLK PSUB GWF GWL RFLK Fraction of Surface Runoff Flowing to the Stream PSUB Fraction of Runoff Reaching the Groundwater Layer GWF Fraction of Groundwater Flowing to the Stream GWL Fraction of Groundwater Flowing out of the Watershed DEFINITION: RFLK
  • 18. HYDROLOGIC ANALYSIS RUNOFF Excess Runoff Soil Storage SCS Curve Number CN Dry Condition when (P/PET) < 0.8 – Antecedent Moisture Condition (I) Normal Condition when 0.8 ≤ (P/PET) < 0.9 – Antecedent Moisture Condition (II) CN(II)=CN Wet Condition when (P/PET) ≥ 0.9 – Antecedent Moisture Condition (III)   )8.0( 2.0 * 2 SP SP RFLKRUNOFF    CN CN S 254 25400  )(058.010 )(2.4 )( IICN IICN ICN   )(13.010 )(23 )( IICN IICN IIICN  
  • 19. HYDROLOGIC ANALYSIS AET Actual Evapotranspiration Soil Storage Ratio Where: STORAGE is the available soil water storage at given time NOMINAL is the soil storage capacity for the type of soil Precipitation Ratio Actual Evapotranspiration Where: P is the monthly precipitation depth PET is the monthly potential evapotranspiration depth NOMINAL STORAGE STORAT  PET P PRERAT  PETPRERAT STORATSTORAT AET ** 2 1 2                   
  • 20. HYDROLOGIC ANALYSIS EXMRAT Excess Soil Moist Ratio Water Balance WATBAL = P - AET Where: P is the monthly precipitation depth AET is the monthly actual evapotranspiration depth For WATBAL < 0 EXMRAT = 0 Case when STORAT > 1 EXMRAT = 1 – (0.5 * (2 – STORAT)2) Case when STORAT ≤ 1 EXMRAT = 0.5 * (STORAT)2
  • 21. HYDROLOGIC ANALYSIS EXMST, GWRECH, DELSTO Excess Soil Moist Storage Ground Water Recharge Where: PSUB could be estimated as follow PSUB = 0.8 for Watershed with high soil permeability PSUB = 0.3 for Watershed with low soil permeability Change in Groundwater Storage WATBALEXMRATEXMST * EXMSTPSUBGWRECH * EXMSTWATBALDELSTO 
  • 22. HYDROLOGIC ANALYSIS DFLOW, BFLOW1, GWLOSS Direct Flow DFLOW = EXMST - GWRECH Ground Water Layer Final Storage GWSTORAGE2 = GWSTORAGE1 + GWRECH River Base Flow from Ground Water Layer BFLOW1 = GWF * GWSTORAGE2 Where: GWF could be estimated as follow GWF = 0.9 for Watershed with little sustained flow GWF = 0.2 for Watershed with reliable sustained flow Fraction of Ground Water Flowing out of the Watershed GWLOSS = GWSTORAGE2 * GWL
  • 23. HYDROLOGIC ANALYSIS BFLOW2, FLOW River Base Flow from Ground Water Layer outside of Watershed BFLOW2 = (specified values adjusted for calibration) Ground Water Layer Initial Storage for next Month Analysis GWSTORAGE1 = GWSTORAGE2 - BFLOW1 - GWLOSS Upper Soil Layer Moisture Storage Capacity at end of Time Period STORAGE = STORAGE + DELSTO River Discharge FLOW = (RUNOFF + DFLOW + BFLOW1 + BFLOW2) * WATERSHED AREA (#DAYS in MONTH * 24 * 60 * 60) The river flow for each month is calculated following this procedure. It usually takes 20 iterations (years) for the monthly flows to converge.
  • 24. HYDROLOGIC ANALYSIS CALIBRATION CALIBRATION IS ACHIEVED BY VARYING RFLK, PSUB, GWF, GWL
  • 25. HYDRAULIC ANALYSIS TYPICAL LAYOUT OF A HYDROPOWER FACILITY
  • 26. HYDRAULIC ANALYSIS Type of Dams Gravity Dam with Reservoir Tyrolean Dam without Reservoir
  • 27. HYDRAULIC ANALYSIS Type of Turbines PELTON TURBINE
  • 28. HYDRAULIC ANALYSIS Type of Turbines TURGO TURBINE
  • 29. HYDRAULIC ANALYSIS Type of Turbines FRANCIS TURBINE
  • 30. HYDRAULIC ANALYSIS Type of Turbines KAPLAN TURBINE
  • 31. HYDRAULIC ANALYSIS Type of Turbines CROSSFLOW TURBINE
  • 32. HYDRAULIC ANALYSIS Typical Turbine Efficiency 1 Turbine 2 Turbines 3 Turbines 4 Turbines
  • 33. HYDRAULIC ANALYSIS Site Classification SITE CLASSIFICATION POWER RANGE Pico P<= 50 KW Micro 50 < P <= 100 KW Mini 100 < P <= 500 KW Small 500 < P <= 1,000 KW Macro 1,000 < P <= 10,000 KW Large P > 10,000 KW
  • 34. HYDRAULIC ANALYSIS Required Input • River Monthly, Minimum, and Maximum Flow • River Flow Exceedance Curve • Turbine Design Flow • Turbine Type • Number of Turbines • Dam Water Surface Elevation • Reservoir Storage Area and Working Height • Penstock Diameter, Length, and Friction Coefficient • Canal Width, Length, and Friction Coefficient • Power House Tailrace Elevation • Generator Efficiency • Powerline Efficiency
  • 35. HYDRAULIC ANALYSIS Graphical Input TAILWATER EL. HIGH WATER EL. LOW WATER EL. STORAGEHEIGHT TURBINE • TYPE • NUMBER GROSSHEAD P = ρ g E Q H P Power (KW) ρ 1000 (kg/m3) g 9.806 (m/s2) E Efficiency Q Flow (m3/s) H Head (m)
  • 36. HYDRAULIC ANALYSIS Analysis Output • Site Gross Power • Monthly Average Power • Yearly Minimum Power • Yearly Maximum Power • Site Total Energy Produced • Site Average Efficiency • Site Maximum Efficiency • Penstock Head-loss Percentage • Penstock Maximum Velocity • Turbine Recommended Optimum Flow • Turbine Suitability Graph • Site Classification
  • 37. HYDRAULIC ANALYSIS Flow Exceedance Definition: • The “Flow Exceedance” curve or the “Percent Exceeds” curve, represent the rating or the number of times in percent a given value of a river flow is equaled or exceeded. • This graph is useful for setting the turbine flow, and calculate the amount of energy that could be produced.
  • 38. HYDRAULIC ANALYSIS Turbine Applicability Turbine Type Minimum Flow Range (m 3 /s) Maximum Flow Range (m 3 /s) Minimum Head (m) Maximum Head (m) Optimum Flow Exceedance (%) Ratio Minimum Flow to Design Flow (%) Cross-Flow 0.05 10.00 2.00 200.00 10 33 Francis 0.50 900.00 10.00 400.00 25 40 Pelton 0.01 60.00 50.00 1000.00 10 20 Turgo 0.01 10.00 50.00 500.00 20 20 Kaplan 0.50 50.00 4.00 100.00 15 35
  • 39. HYDRAULIC ANALYSIS Design Flow Set Range of River Flows RiverFlowMin = Minimum River Flow RiverFlowMax = Maximum River Flow Set Project Design Flow DesignFlow = User input based on turbine type Set Penstock Flow PipeFlow = DesignFlow Set Maximum Controlling Flow Case when PipeFlow ≤ RiverFlowMax QMax = PipeFlow Case when PipeFlow > RiverFlowMax QMax = RiverFlowMax Set Turbine(s) Unit Flow TurbineFlow = QMax * 3 (2 * Nturbine + 1)
  • 40. HYDRAULIC ANALYSIS Penstock Losses Entrance Loss HL = KE V 2 2G Bend Loss HL = KB V 2 2G Valve Loss HL = KV V 2 2G Pipe Loss HL = L * 19.164 n 2 V 2 R 4/3 2G Exit Loss HL = KE V 2 2G Penstock Efficiency EP = H - ∑HL H Default Entrance Loss Coefficient KE = 0.04 (Bell Mouth) Default Bend Loss Coefficient Φ = 15° #Bends = Penstock Length / 200 m 200 m bends spacing is defaulted Default Valve Loss Coefficient KV = 0.17 (Gate Valve) One valve is accounted for in VB Macro 90 *25.0  BK
  • 41. HYDRAULIC ANALYSIS Turbines Efficiency Cross-Flow Turbine Efficiency ET = -0.27946 + (13.068 * A) - (81.222 * A 2) + (275.787 * A 3) - (534.982 * A 4) + (592.367 * A 5) - (348.08 * A 6) + (84.1433 * A 7) Francis Turbine Efficiency ET = -1.38959 + (17.6433 * A) - (70.5159 * A 2) + (174.261 * A 3) - (273.511 * A 4) + (266.656 * A 5) - (146.992 * A 6) + (34.6991 * A 7) Pelton Turbine Efficiency ET = 0.00714 + (11.0712 * A) - (63.874 * A 2) + (207.119 * A 3) - (396.07 * A 4) + (440.759 * A 5) - (262.98 * A 6) + (64.8347 * A 7) Turgo Turbine Efficiency ET = 0.131789 + (6.86047 * A) - (35.21 * A 2) + (105.665 * A 3) - (186.658 * A 4) + (191.065 * A 5) - (104.956 * A 6) + (23.9621 * A 7) Kaplan Turbine Efficiency ET = -0.157845 + (5.16567 * A) - (12.5331 * A 2) + (18.6549 * A 3) - (16.1621 * A 4) + (6.06582 * A 5) + (0.91835 * A 6) - (1.05123 * A 7) Where A is the ratio of the River Flow over the Turbine Rated Flow
  • 42. HYDRAULIC ANALYSIS Water to Wire Power Plant Efficiency E = EP * ET * EG * EL Where: EP is the pipe efficiency ET is the turbine efficiency EG is the generator efficiency EL is the transmission line efficiency Power P = ρ g E Q H Typical Water to Wire efficiency varies from around 65% to 75%. Higher Water to Wire efficiency is possible by using large pipes that will decrease the head-loss. However, the increase in pipe size is not always economical.
  • 43. HYDRAULIC ANALYSIS Sample Output FLOW PGRS PMAX PAVG PMIN TOTAL ENERGY E MAX E AVG TURBINE (m3 /s) (KW) (KW) (KW) (KW) (KWH) % % TYPE 0.9931 379.80 280.94 103.41 24.72 905,860.33 73.97% 27.23% Mitchell 4.2000 2677.04 1755.49 1273.71 634.26 11,157,736.77 65.58% 47.58% Francis 0.2160 675.67 526.45 245.56 100.61 2,151,107.62 77.91% 36.34% Pelton 1.1967 9857.27 7958.31 4394.40 175.45 38,494,915.44 80.74% 44.58% Propeller 2.3200 1478.74 1218.10 1008.56 608.28 8,834,946.86 82.37% 68.20% Turgo 165.2000 37258.88 27487.41 18126.53 6184.26 158,788,427.59 73.77% 48.65% Kaplan 2.4520 456.84 335.84 169.55 45.71 1,485,224.10 73.51% 37.11% Ossberger OPTIMUM OPERATING CONDITION FOR DIFFERENT TURBINE TYPE
  • 52. REFERENCES • Hydrologic Cycle Sketch https://www.britannica.com/science/water-cycle • Typical Run of the River Hydropower Plant Sketch http://www.sswm.info/content/hydropower-small-scale • Gravity Dam with Reservoir Photo by Gregory Morris – Peligre Haiti http://glmengineers.com/pdesc_re.php?2 • Tyrolean Dam without Reservoir Photo by North Harris Trust http://www.north-harris.org/tag/hydro-electric-schemes/ • Pelton and Turgo Cut View http://www.eternoohydro.com/turbines/impulse-turbines.html • Francis Turbine Cut View http://www.eternoohydro.com/turbines/francis-turbines.html • Kaplan Turbine Cut View http://www.eternoohydro.com/turbines/axial-flow-turbines.html • Cross-Flow Turbine Cut View http://www.ossberger.de/cms/pt/hydro/ossberger-turbine/ • Water Balance Procedure Dr. Norman H. Crawford, and Steven M. Thurin, “Hydrologic Estimates for Small Hydroelectric Projects”. Hydrocomp, Inc. NRECA , September 1981 • Typical Components of a Hydro Facility Creager, W. P., and J. D. Justin, “Hydroelectric Handbook”, 2nd ed. New York: John Wiley & Sons, Inc., 1950
  • 53. THANK YOU FOR YOUR TIME FRANCIS MITCHELL MS, PE F-MITCHELL@ATT.NET 305-979-6387