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## Homework Statement

The daily load demand of a grid is given by P=P

_{max}* cos(pi*t/24). Here -12hrs ≤ t ≤ 12hrs. Maximum power occurs at (t=0) and minimum occurs at (t= ±12). A 10 GW hydro power plant with pump storage is available for base load operation. The turn-around efficiency of the storage system is 0.7. Find the peak load.

## Homework Equations

## The Attempt at a Solution

I found the average power in terms of P

_{max}which comes out to be: P

_{avg}=2*P

_{max}/pi. but now I couldn't figure out how to proceed. Any help will be greatly appreciated.