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Presumably you are asking about hydroelectric power, as opposed to thermal (steam) power?

The kilowatt is used to measure power. This is the rate at which energy is generated, so it would require a continuous supply of water to generate energy at a rate of 1000 kW.

However, you can determine the rate at which water must flow through a turbine to generate energy at a constant rate of 1000 kW. The relevant equation is:

P = (g i) h

Where P = power (W), g = acceleration due to gravity (9.81 m/s2), i = rate of flow of water (kg/s), and h = head of water (m).

So, if we assume a head of water as, say, 1000 m, then we can determine the rate of flow of water to generate 1000 000 W, as follows:

i = P / (g h) = 1000 000 / (9.81 x 1000) = 102 kg/s

This assumes that the turbo-generator set is 100% efficient which, of course, isn't the case. Assuming the turbo-generator set is, say, 75%, then the flow rate would need to be (102 / 0.75) = 136 kg/s.

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13y ago

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