Stability Calculation of Power Systems Having Shunt Loads

Abstract

The small signal performance of a multimachine power system is described by a set of differential equations of the form ＝Ax. The analysis includes the effect of local shunt loads and margin of stability defined in the eigenvalue-plane. The construction of the A-matrix involves an equivalent circuit of a transmission network, a hybrid reference frame and an axis transformation based on Park's transformation. Once the A-matrix is obtained, standard computer programs may be used for studying the dynamic stability characteristics of the power system. Root-locus analysis is adapted to get information on the dynamic stability of a sample model.