Patent ID: 8326594

Claim:
A method for analyzing a model of a balanced power distribution system, comprising the steps of: transforming a model of the balanced power distribution system with zero impedance branches to an equivalent model of the balanced power distribution system with non-zero impedance branches, wherein: shunt impedances, injected currents and powers at slave buses of zero impedance branches are integrated into master buses, and related voltage and current transformation implicitly expressed in the zero-impedance branches are combined with adjacent branch impedances in the equivalent model, an equivalent bus admittance matrix for each bus in the equivalent model, except the slave buses of zero-impedance branches is constructed, and shunt compensations and constant impedance loads are added to the self-admittance elements of the corresponding buses to be modeled; generating decoupled power mismatch equations for each bus in the equivalent model; determining power mismatches using the power mismatch equations; comparing the power mismatches to a predetermined threshold; and solving iteratively for each bus and if the comparing is true, the power mismatch equations to obtain a bus voltage magnitude correction and a bus phase angle correction until the comparing is false, or a predetermined number of iterations is reached, wherein the steps are performed in a processor.