3. The daily load factor of a given entity is defined as the total daily energy served to that entity divided by theproduct (peak demand)*(duration of the time interval). For a daily load factor, the duration of the time interval is 24.
(A) Find the daily load factor of Tempe AZ if the demand in MW is given by PP = -250sin(πt/12)+288where t is given in hours and the argument of the sine function is in radians. Assume that 0 ≤ t ≤ 24 h.
(B) Several ASU EEE577 students have devised a way to store bulk energy between 5 am and 7 am. They will storea fixed power 10 MW over this period namely 5 ≤ t ≤ 7 h. That power demand will come from the electric utilitycompany. And, they will recover 100% of the energy stored at a rate of exactly 10 MW over the interval 17 ≤ t ≤19 h. Note the use of the 24 hour clock: e.g., t = 17 refers to 5:00 pm. If these students implement their energystorage and recovery invention, find the load factor with their invention operative.
(C) Note that the energy storage device described in (B) is rated at 10 MW. This rating is the power rating. Theenergy storage device also has an energy rating - find that energy rating.
(D) The same students experiment with their device, and they improve the design so that an improved rated powerlevel of 12 MW may be stored over the interval 5 ≤ t ≤ 7 h (and 12 MW is recovered over 17 ≤ t ≤ 19 h). Againfind the daily load factor and the required energy rating of the storage device.