Write a Matlab code to construct the capability curve of a synchronous machine showing all limits and stability margin.
The code should be able to determine the power angle and the excitation voltage given the active and reactive generation of the machine.
The inputs to your program are the following:
- Rated synchronous generator power, S.
- Mechanical power, \(\mathrm{P}^{\mathrm{mech}}\).
- Rated terminal voltage, V.
- Synchronous reactance, \(\mathrm{X}_{s}\)
- Maximum excitation, \(\mathrm{E}^{\mathrm{max}}\)
- Stability margin, Margin.
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a) Determine the excitation voltage \(E\) per phase and the power angle.
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Please answer all parts of the questions showing all steps with
clear hand-writing. Final answers are provided in the bottom (your
answers must match them).
(a) 2.059 pu( b)60.9º (c) 1.143 pu
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