Network Representation of Conducting Regions in 3-D Finite-Element Description of Electrical Machines

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 using the electric vector potential T, as well as conductance models, for which the nodal equations refer to a nodal element description by means of the scalar potential V. Network models for multiply connected regions are derived for both Omega-T-T <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</sub> and A-T-T <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</sub> formulations. A network representation of the edge value of potential T <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</sub> is suggested. Convergence of the iterations of the T-T <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</sub> method may be accelerated by supplementing equations for the edge values of T <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</sub> .