Consider a power utility comprising a hydro and a thermal generating unit. The thermal unit has...

  

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Consider a power utility comprising a hydro and a thermal generating unit. The thermal unit has its cost characteristic and capacity limit as follows: 30 MW ≤ P ≤ 200 MW Cs (P) = 686 +9P, + 0.035P² hr The hydro unit water discharge rate and capacity limit is as follows: qH = 200 +7.5P+0.006P acre - 0 MW ≤ PH ≤ 250 MW hr The hydro reservoir has a total water availability of 184,800 acre-ft for a 7-day scheduling horizon, during which, the system demand remains constant at 200 MW. a) Find the thermal and hydro generation schedule and the duration for which each unit should be operated so that the total system cost is minimized. b) Find the total energy generated by the hydro generator over the week. c) How much extra reservoir drawdown is required over a week, if the thermal unit decides to operate for 1 hour less than what is obtained in (i). d) If the maximum drawdown from the reservoir is restricted to 180,000 acre-ft over the 168-hour period, how long should the thermal unit operate now? Consider a power utility comprising a hydro and a thermal generating unit. The thermal unit has its cost characteristic and capacity limit as follows: 30 MW ≤ P ≤ 200 MW Cs (P) = 686 +9P, + 0.035P² hr The hydro unit water discharge rate and capacity limit is as follows: qH = 200 +7.5P+0.006P acre - 0 MW ≤ PH ≤ 250 MW hr The hydro reservoir has a total water availability of 184,800 acre-ft for a 7-day scheduling horizon, during which, the system demand remains constant at 200 MW. a) Find the thermal and hydro generation schedule and the duration for which each unit should be operated so that the total system cost is minimized. b) Find the total energy generated by the hydro generator over the week. c) How much extra reservoir drawdown is required over a week, if the thermal unit decides to operate for 1 hour less than what is obtained in (i). d) If the maximum drawdown from the reservoir is restricted to 180,000 acre-ft over the 168-hour period, how long should the thermal unit operate now?

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Okay lets solve this stepbystep a Thermal generation cost function CPth 686 9Pth 0035P... View the full answer