Exercise:

Can you write down the nonlinear algebraic equations corresponding to the real and reactive balance equations at each node for the system shown below ? The numerical values of the "known quantities" are indicated on the figure.

Can you formulate the iterative algorithm to find out the unknown quantities, i.e., the bus voltage phasors at buses 2 and 3, and the bus voltage phasor angle at bus 4, using the fixed point iterative method? Note that the bus voltage phasor at bus 1, voltage magnitude and real power injection at bus 4 is indicated on the figure.