An Optimization Analytical Method for Synchronous Machine Model Design From Operational Inductance Ld(s)

Abstract

This paper presents an analytical method for the optimal estimation of time constants of synchronous machine from Stand Still Frequency Response Testing (SSFR). We show that the analytical method is advantageous over the conventional one since the latter is based on curve fitting representing the variation of the operational inductance as a function of the frequency and provides inaccurate and non-unique solutions. In fact, the analytical method applies the standard theory of linear systems to locate the values of poles and zeros in the frequency response and determines the optimal order of the equivalent circuit that can model the machine accurately. The proposed method is simple, practicable, and effective. However, it needs an optimisation process based on parameter differentiation to improve the values of time constants. Based on the measured data, realistic tests are given to show the advantages of the method.

Estimation of Synchronous Machine Parameters by Stand Still Frequency Responses Testing

“…1.a. The operational inductance can be expressed in the following manner [12]: 1) can be written in the following standard form:…”

“…Second order model (two rotor circuits) Figure 1.b represents the equivalent circuit of the operational inductance of the second order model. The operational inductance of this model can be written in the following form [12]:…”