The Short-Circuit Modes of a Synchronous Machine

Time-domain matrix methods coupled with convenient linear transformations are used to obtain expressions for the winding currents of a synchronous machine subjected to a symmetrical three-phase short circuit. For the case of a rotor having two windings in quadrature, the system matrix eigenvalues are found in terms of winding-time constants. For this particular machine, the nature of the short-circuit modes and the relationship between them is demonstrated and the effect on these modes of winding-parameter variations is examined.