Transient Analysis of Salient Pole Synchronous Machine in Space Complex Vector

Abstract

This paper provides circuit equations of salient pole synchronous machine and its analytical solutions. The author expressed cross section of synchronous machine as complex plane and named it space complex plane. Voltages, currents and magnetic fluxes expressed in this complex plane, were named space voltages, space currents, and space magnetic fluxes respectively.
To distinguish ordinary complex quantities, such as complex currents of single-phase circuit, from space complex vectors, such as space complex currents, The author named them time complex vectors temporarily in this paper.
Using these space complex vectors and time complex vectors, The author analyzed salient pole synchronous machine.
For instance, calculated results of transient phenomena of 3-phase sudden short circuits of salient pole synchronous machine are showed in this paper.