Mathematical Model of a Synchronous Machine under Complicated Fault Conditions

摘要

This paper presents a mathematical model of a synchronous machine when a complicated fault occurs in the external network. The equations of stator and rotor circuits are written in space vector using Clarke's transformation. The equations are subjected to mathematical manipulations based on phasor concepts, and series expansion of algebraic and differential equations, neglecting high order harmonics, in order to obtain a final model of the machine. This model of the machine is an appropriate one to obtain the negative sequence impedance of the synchronous machine.