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A generating station for a power system consists of five synchronous generators with an identical speed drop of 60 MW/Hz. All five generators equally share a 1000 MW load (200 MW each) with a system frequency of 60 Hz.

Calculate the no-load frequency for each of the generators.

Answer :

Final answer:

The no-load frequency for each generator in the power station is 63.33 Hz, as calculated using the speed drop of 60MW/Hz and the individual generator load of 200MW.

Explanation:

In this question, we are asked to calculate the no-load frequency for each of the generators in the power station. To do that, first we need to understand that the speed drop rate refers to the change in the generator speed as the load changes. In our case, it's 60 MW/Hz. So, when the generator is running at no load, the load power change should be 200 MW, which is the load for one generator.

Using the speed drop rate, we can calculate the change in frequency: Δf = ΔLoad / Speed Drop Rate = 200MW / 60 MW/Hz = 3.33 Hz. Thus, the no-load frequency would be the system frequency plus the aforementioned change, which is 60 Hz + 3.33 Hz = 63.33 Hz. So, the no-load frequency for each generator is 63.33 Hz.

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