Generalized Circuital Modeling of Electromechanical Devices

The lumped-parameters modeling of electromechanical devices in terms of equivalent circuits and rigid bodies is widely in use by long time. In fact, it permits to draw important theoretical conclusions and to obtain handy analytical results useful for dynamic analysis. Nevertheless, this approach is often presented in reduced forms, e.g., assuming a single mechanical degree-of-freedom, magnetic linearity, 3-phase symmetrical windings, etc. This paper proposes a generalized treatment suppressing several of such hypotheses, leveraging on matrix notation and lagrangian notation for mechanical aspects to provide a powerful conceptual tool for the analysis of a wide class of devices.