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Electric power is to be generated by installing a hydraulic turbine-generator at a site 120 m below the free surface of a large water reservoir that can supply water at a rate of 1500 kg/s steadily. Determine the power generation potential.

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Answer:

The electric power generation is 1765.8 kW.

Step-by-step explanation:

Potential head is converted to the kinetic energy at the turbine and finally to the electric energy. Assume no loss of head and energy through the hydraulic turbine system. Take direct energy conservation for electric power generation.

Step1

Given:

Potential head is 120 m.

Mass flow rate is 1500 kg/s.

Calculation:

Step2

Potential head or the electric power is calculated as follows:


P=\dot{m}gH


P=1500*9.81*120

P = 1765800 watt.

Or,

P = 1765.8 kW.

Thus, the electric power generation is 1765.8 kW.

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