State-space d-q axis models of saturated salient pole synchronous machines

Transient d-q axis models of saturated salient pole synchronous machines, available today, are those in which either all the winding currents or all the winding flux linkages are selected as state-space variables. A general, six-winding salient pole saturated synchronous machine is discussed and it is shown that numerous alternative models, with different sets of state-space variables, may be derived. A single saturation factor approach is utilised for main flux saturation representation. Two distinct types of saturated machine models are identified and a procedure is described that enables the formation of 37 different state-space models. A number of models are given in the final developed form. The procedure and the novel models are verified by an extensive simulation study, whose main results are included. Advantages of some of the models over the existing ones and their applicability are discussed