(a) Briefly discuss the importance of Dynamic and Transient Stability (b) A student was asked to...
(a) Briefly discuss the importance of Dynamic and Transient Stability (b) A student was asked to solve this problem: "A synchronous generator develops a maximum power of 500MW at a power angle of 12º. How much more power can be added suddenly without loss of stability." Part of her solution is as under: Initially 80 =12 Pe! = Pmax sindo = 500sin12°=103.95 MW using sind i (82-80) + (cos82-cosoo) = 0 substitute 82 = 7-81 sindi (it - 01-60) + (cos (TT-01) - cos8o) = 0 sindi (1 - 1-80) - cosôi - cos 0o = 0 sindi (It-01-129) - cosôi- cos12° = 0 sinổi (2.93 – 31) - cos31-0.9781=0 • Use the above to answer the following, "If the generator develops a maximum power of Rnd#(500,700) at a power angle of 10°, how much more power can be added suddenly without loss of stability": Hint: Calculate 81 and the corresponding new operating power. This power minus Peo. above is the additional power. With Casio, you can solve 81 directly, Newton Raphson is done for you • Remember to work in radians (any degrees must be converted to radians)