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. Rated terminal voltage, V. ◆ Synchronous reactance, X. ◆ Maximum excitation, Emax. Stability margin, Margin.