At a hydroelectric power plant- the water pressure head is at a height of 300 m and the water flow available is 100 m 3 s -1- If the turbine generator efficiency is 60 - estimate the electric power available from the plant g -9-8 m s -2-

Height of water pressure head, h = 300 m Volume of water flow per second, V = 100 m3/s Efficiency of turbine generator, n = 60 Acceleration due to grav ...

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Standard XII

Economics

Sources of Energy

At a hydroele...

Question

At a hydroelectric power plant, the water pressure head is at a height of 300 m and the water flow available is 100 m³s⁻¹. If the turbine generator efficiency is 60%, estimate the electric power available from the plant (g= 9.8 m s⁻²).

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Solution

Height of water pressure head, h = 300 m

Volume of water flow per second, V = 100 m³/s

Efficiency of turbine generator, n = 60% = 0.6

Acceleration due to gravity, g = 9.8 m/s²

Density of water, ρ = 10³ kg/m³

Electric power available from the plant = η × hρgV

= 0.6 × 300 × 10³ × 9.8 × 100

= 176.4 × 10⁶ W

= 176.4 MW

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At a hydroelectric power plant, the water pressure head is at a height of 300 m and the water flow available is 100 m3 s−1. If the turbine generator efficiency is 60%, estimate the electric power available from the plant (g= 9.8 m s−2).

At a hydroelectric power plant, the water pressure head is at a height of 300 m and the water flow available is 100 m³s⁻¹. If the turbine generator efficiency is 60%, estimate the electric power available from the plant (g= 9.8 m s⁻²).