A Measure of Dynamic Performance of a One-machine System

Abstract

The small signal performance of a synchronous machine connected to the infinite bus through a balanced phase transmission line is described by a set of differential equations of the form px＝Ax. The analysis includes the effect of an impedance load and a series capacitor as well as control equipment. Once the A-matrix is obtained, the integral squared error of each state variable is calculated by Liapunov's direct method. From the observation of trends in their variation against system parameters, and in connection with the results of the time domain analysis, the integral squared error of the dominant mode is adopted as a performance index. A sample one-machine system is studied by using the index.