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A three-phase synchronous generator with rated data VM = 20 kV, SM = 100 MVA, n...

A three-phase synchronous generator with rated data VM = 20 kV, SM = 100 MVA, n = 500 rpm is driven by a turbine that can provide a maximum of 1.6 MNm.
Synchronous reactance, XS = 3Ω / phase. The armature resistance (Ra ) is neglected. In open circuit mode (P = 0), an excitation current of 300 A is required to obtain rated voltage (VM ). The machine should be phased into a strong grid, 3x20 kV, 50 Hz.
a) After the phase-in, the generator is adjusted to deliver 20 MW and 20 MVAr to the grid. Calculate the induced voltage (EF ), the excitation current (Im ) required as well as the load angle. b) Suppose that the excitation current increases by 15% while maintaining the turbine torque constant. How much does the synchronous generator emits both active and reactive power to the grid?

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