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1. A 2 GW synchronous generator is connected to an infinite bus through a transmission line. The infinite bus voltage (per phase) is $240kV$ (reference voltage), the inductive reactance of the transmission line is $6?$, the synchronous reactance of the generator is $X_{s}=9?$. If the generator delivers its rated power at unity power factor to the infinite bus, compute the following: a) Terminal voltage of the generator b) Equivalent field voltage c) The active and reactive power output at the generator terminals d) The maximum generator real power limit (i.e., $P_{max}$ ) e) If a capacitor with capacitive reactance of $4?$ is connected in series with the transmission line, what is the new capacity of the system? f) If a second transmission line with $X_{line2}=6?$ is connected in parallel with the original transmission line, what is the new system capacity?

Given that the Generator of rated capacity 2GW connected to the infinite grid of voltage 240KV per phase Xline = 6 ohmXs = 9 ohm(a) We have to find th