As shown in the figure, electric power is generated by installing a hydraulic tu

Question

As shown in the figure, electric power is generated by installing a hydraulic turbine generator at a site 90 m below the free surface of a huge water reservoir that can supply a water flow rate of 65 m^3/s to the turbine steadily. The density of water is 1000 kg/m^3. the combined turbine-generator efficiency of this plant is 84%. neglecting the power loss in the pipe and kinetic energy of water exiting turbine, determine a) The electric power output of this plant, in kW. b)The revenue generated by this plant per year (365 days per year) if the electric power is sold to the utility at 0.06/kWh

Explanation / Answer

(a) Rate of work done = ? *g* h * Q = 90* 65 *1000 * 9.8 = 57.33 MW efficiency = 0.84 Electric power output = 0.84 * 57.33 = 48.16 MW Power output = 48157.2 kW (b) Revenue = x * Energy generated in a year = 0.06 * 48157.2 * 24 * 365 = 25311424.32 Revenue = 25311424.32 Currency units

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