Question

Thank You & Definitely Thumps Up. During a power outage, two generators supply a load with the characteristics depicted in the house diagram below Generator1 Generator 2 Slope 1 MW/Hz 61 Hz 60.5 H2 Slope I MW/Hz 1.5MW .O MW kW P1 1.5 MW 2-10 MW kW (a) If the governor no-load setpoint of Generator 2 is increased to 62 Hz, calculate the load distribution and the new frequency, assuming that the total power supplied does not change? Overlay the drawing of your solution on the house diagram below (b) While the Generator 2 set point is at 62 Hz, grid power is restored and Generator 1 is disconnected from the line. What will be the power supplied by Generator 2 and how much power will be drawn from (or supplied to) the grid. Model the grid as an infinite bus operating at 60 Hz. Pgrid

Answer 1

Total power supplied, P = 2.5 MW Slope = 1 MW/Hz therefore for generator 1, P_1/61.5 - f = 1 Therefore 61.5 - f = P_1 Therefore for generator 2, P_2/62 - f = 1 therefore 62 - f = P_2 Total power, P = P_1 + P_2 = 2.5 Mw 61.5 - f + 62 - f = 2.5 2f = 61.5 + 62 - 2.5 f = 60.5 Hz = > new frequency. P_1 = 61.5 - 60.5 MW = 1 MW P_2 = (2.5 - 1)MW = 1.5 MW generator 1 is disconnected Slope = 1 MW/Hz Therefore P_2/62 -60 = 1 Therefore P_2 = 2 MW as, P_2 is +ve it is supplying power to the grid