v m

Mean wind speed [m⁄s]

v i

Wind speed [m⁄s]

k 10

Shape parameter at 10 m height agl [-]

N

Number of wind speed data

k z

Shape parameter at z meters height agl [-]

v

Wind speed [m⁄s]

σ

Standard deviation of the mean wind speed [m⁄s]

n

Power law exponent [-]

n

Useful lifetime of WT in years (20 years) [year]

v c

Cut-in wind speed [m⁄s]

F w

Water pumping capacity rate [m4⁄h]

v R

Rated wind speed [m⁄s]

v m G

Measured wind speed [m⁄s]

v F

Cut-off wind speed [m⁄s]

σ G

Standard deviation of the mean measured WS [m⁄s]

P e R

Rated electrical power [kW]

v m S

Satellite-derived wind speed [m⁄s]

P e , a v e

Average power output [kW]

σ S

Standard deviation of the mean satellite-derived WS [m⁄s]

Q w

Volumetric flow rate (m3⁄day)

f ( v )

Probability of observing wind speed v

ρ w

Water density [kg⁄m3]

g

Acceleration due to gravity[m⁄s2]

S a t i ¯

Mean value of S a t i

C

Weibull scale parameter [m⁄s]

H

Pump head [m]

k

Weibull shape parameter [-]

η

System efficiency [-]

E p f

Energy pattern factor [-]

PVC

Present value of costs [XAF]

MBE

Mean Bias Error [-]

η P U M P

Efficiency of the pump [-]

RRMSE

Relative root mean square error [%]

P o u t

Net hydraulic power output [kW]

Coefficient of determination [-]

I

Investment cost [XAF]

G r i

ithCFD of ground (measured) wind speeds

io

Nominal interest rate [%]

S a t i

ithCFD of satellite-derived wind speeds

S

Scrap value [%]

C o m

Operation and maintenance costs [%]

I

Inflation rate [%]

N

Number of non-zero wind speed data points

r

Discount rate [%]

C 10

Scale parameter at 10 m height agl [m⁄s]

COE

Cost of energy [XAF/kWh]

C z

Scale parameter at z meters height agl [m⁄s]

COW

Cost of water [XAF/m3]

E W T

Total energy output over the WT lifetime [kWh]

IOA

Index of Agreement

V w

Annual volume of water [m3/year]

RMSE

Root mean square error [-]