Method of Multiple Reference Frames Applied to the Analysis of Symmetrical Induction Machinery

A method of analyzing the constant-speed performance of a symmetrical induction machine with applied stator phase voltages of any periodic form is presented. Symmetrical components are not used in this analysis. Instead, it is shown that by employing a series of reference frames, dc circuit theory may be used to determine the performance of induction machines. Since phasor and complex impedance concepts are not incorporated, the theory of multiple reference frames permits a convenient and simple method of analyzing steady-state modes of unbalanced or nonsinusoidal operation which have heretofore been limited to analysis by the method of symmetrical components. Also, this method establishes a rigorous approach to the analysis of constant-speed electrical transients of induction machinery.