Simulation of electromagnetic drive systems using graph theory

A procedure for simulating electromagnetic drive systems, based upon graph theory concepts, is presented. These systems may consist of various combinations of electrical machines, transformers, power conditioning equipment or any other electrical component. The self and mutual inductances of any electrical machine in the system can be of any form (the number of harmonics used being unlimited). In addition, a new way of representing permanent magnet excitations based upon topological considerations is given. These features have extended the capabilities of the proposed model and therefore the simulation of complex and nonconventional electrical machines has been made possible. In order to fully validate the proposed approach, a wide range of study cases has been investigated. The results of comparisons with three different test arrangements are presented and good agreement is observed between simulated and experimental results.