Question

A power grid has a hypothetical daily load demand curve that may be represented by half a cosine wave with maximun Pm at time 0 and zero at 24 hours. A 1000-MW powerplant is available for baseload operation with a storage system that has a turnaround efficiency of 0.65. Find the peak load Pm, in megawatts, that can be accommodated by the system and the time at which the system switches from generation to storage.

For This Problem, let Pload(t) = Pm [1 – (t² / 144)] with time zero (t = 0) to be at noon when the peak load (Pm) is reached, and the load equals zero at midnight, that is, Pload(0) = Pm and Pload(±12 hrs) = 0.

Answer 1