Power Generation in Hydroelectric Power Plant
The power output from a hydroelectric power plant depends on the discharge of water, available head, and system efficiency.
Power Generation Formula
The formula for power generation
in the hydroelectric power plant is given by
P = (W * Q * H * n) kW
Where, W = density of water = 9.81 kg/m3
Q = discharge of water, m3/s
H = available head,
m
n = system efficiency
The power generation in HP is given by the following formula
P = (W * Q * H * n / 75) HP
Where, W = density
of water = 1000 kg/m3
Q = discharge of
water, m3/s
H = available head,
m
n = system efficiency
Example on How to calculate power generation in hydroelectric power plant
Example 1: Taking density of water to be 1000 kg/m3, how
much power would be developed by hydroelectric generation unit, assuming 100%
efficiency with 1 m Head and 1 m3/s?
Solution:
Given Data: W = density of water = 1000 kg/m3
Q = discharge
of water = 1 m3/s
H = head = 1 m
n = efficiency = 100 %
The power generation is given by
P = W * Q * H * n
Put values in the above equation, we get
P = (1000 * 1 * 1 * 1)
(kg/m3 * m3/s * m)
= 1000 Kg*m/s
= 1000 * 9.80 Watt (1 kg*m/s = 9.80 Watt)
P
= 9.80 KW
Example 2: One million cubic meters of water is stored in a reservoir feeding a water turbine. The density of water is 993 kg/m3. If the centre of mass of water is 50 meters above the turbine and the losses are negligible, then find power produced by that volume of water?
Solution:
Given Data: W = density of water = 993 kg/m3
Q = discharge of water = 1*106/3600 m3/s
H = head = 50 m
n = efficiency = 100 % (Given that losses
are negligible)
The power generation is given by
P = W * Q * H * n
Put values in the above equation,
we get
P = 993 * 1*106/3600 * 50 * 1
= 135.3*106
Watt
P = 135.3 MW
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