Synchronous Machine Modeling Based on Shifted Frequency Analysis

Abstract

This paper describes a new synchronous machine model based on the shifted frequency analysis (SFA) method, which uses dynamic phasor variables rather than instantaneous time domain variables. Discrete-time SFA component models have a form that is similar to the EMTP component models. Dynamic phasors provide envelopes of the time-domain waveforms and can be accurately transformed back to instantaneous time values. When the frequency spectra of the signals are close to the fundamental power frequency, the SFA model allows the use of large time steps without sacrificing accuracy. This makes the SFA method particularly efficient for power system operational dynamics.