Load PowerWorld Simulator case Example 6_11; this case is set to perform a single iteration of the Newton-Raphson power flow each time Single Solution is selected. Verify that initially the Jacobian element \(J_{33}\) is 104.41. Then, give and verify the value of this element after each of the next three iterations (until the case converges).

Example 6_11

Determine the dimension of the Jacobian matrix for the power system in Example 6.9. Also calculate \(\Delta \mathrm{P}_{2}(0)\) in Step 1 and \(\mathrm{Jl}_{24}(0)\) in Step 2 of the first Newton-Raphson iteration. Assume zero initial phase angles and 1.0 per-unit initial voltage magnitudes (except \(V_{3}=1.05\) ).