Open PowerWorld Simulator case Problem 12_11, which includes a transient stability representation of the system. Each generator is modeled using a two-axis machine model, an IEEE Type 1 exciter and a TGOV 1 governor with \(\mathrm{R}=0.04\) per unit (a summary of the generator models is available by selecting either Stability Case Info, Transient Stability Generator Summary which includes the generator MVA base, or Stability Case Info, Transient Stability Case Summary). The contingency is the loss of the generator at bus PEAR69, which initially has \(65 \mathrm{MW}\) of generation. Analytically determine the steady-state frequency error in \(\mathrm{Hz}\) following this contingency. Use PowerWorld Simulator to confirm this result; also determine the magnitude and time of the largest bus frequency deviation.