Redo Example 11.12 with the assumption the generator is supplying \(100+j 10\) MVA to the infinite bus.

Example 11.12

For the system from Example 11.3, assume the synchronous generator is replaced with an induction generator and shunt capacitor in order to represent a wind farm with the same initial real and reactive power output as in Example 11.3. The induction generator parameters are \(\mathrm{H}=0.9\) per unit-seconds, \(\mathrm{R}_{a}=0.013, \mathrm{X}_{a}=\) \(0.067, \mathrm{X}_{m}=3.8, \mathrm{R}_{1}=0.0124, \mathrm{X}_{1}=0.17\) (all per unit using the 100 MVA system base). This system is modeled in PowerWorld Simulator case Example 11_11.

(a) Use the previous equations to verify the initial conditions of \(\mathrm{S}=-0.0111, \mathrm{E}_{r}^{\prime}=\) 0.9314, \(\mathrm{E}_{i}^{\prime}=0.4117, \mathrm{I}_{r}=0.7974, \mathrm{I}_{i}=0.6586\).

(b) Plot the terminal voltage for the fault sequence from Example 11.6.