Equivalent circuits of reluctance machines

Equivalent circuits have been developed upon the recurrent voltage equations mathematically derived for reluctance machines. The application of these circuits to the analysis of induction and synchronous machines under various operating conditions has been illustrated. The essential feature of this development is to derive mathematically the voltage equations, in general form, relating the machine currents of different frequencies. These voltage equations will be designated recurrent voltage equations. Upon these recurrent voltage equations, the equivalent circuits can be constructed readily. The usefulness of the equivalent circuits developed for studying the machine operation is not only limited to reluctance machines but also extended to induction and synchronous machines as will be discussed subsequently. Many examples have been worked out, although only some are presented in this paper. Results thus obtained, after simplification, have been found in agreement with those presented by previous investigators. The equivalent circuit study is a more general and straightforward approach giving more desired information.