A network description of conducting regions in electrical machines

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Description/Abstract

The paper introduces a network description of conducting regions in electrical machines. Resistance models are considered, where loop equations are equivalent to an edge element formulation (EEM) using the electric vector potential T, as well as conductance models, for which the nodal equations refer to a nodal element description (NEM) by means of the scalar potential V. For the field of conducting currents the edge value of the vector potential T is interpreted using the language of circuit theory. The network models of simply and multiply connected conducting regions are introduced. Both thin and rod conductors are considered. Resistive models of multi-turn coils are described for which the loop equations form edge elements involving the potential T0. The models under discussion relate to the method with an electric scalar potential V and a magnetic vector potential A and to the methods using electric vector potentials T, T0, and scalar or vector magnetic potentials, i.e. Ω-T-T0, A-T-T0 formulations. Advantages of using the T−T0 formulation are highlighted.