A New Theory of Electric Machines

1 September 1966

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Power Apparatus and Systems

Vol. PAS-85 (9) , 945-951
https://doi.org/10.1109/TPAS.1966.291717

Abstract

A theory of commutating machines is presented. Besides giving a new and interesting explanation to the commutation process from both field and geometric points of view, it enables the equations to be derived by a simple application of a differential operator to the coenergy function. This differential operator is the long sought-for extension of Lagrangian theory to the commutating machine. The theory is derived by application of Maxwell's equations to a physical model, and from a more theoretic point of view, by use of the Lie derivative. It is related to the diakoptic nonholonomic theory as well as to the more restricted transformation theory. An application to a simple machine model is given to illustrate its use.

Keywords

This publication has 2 references indexed in Scilit:

Electromagnetic theory of electrical machines
Proceedings of the Institution of Electrical Engineers, 1964
Ricci-Calculus
Published by Springer Nature ,1954