Dynamic Finite Element Method Using Unconnected Meshes for Electric Machines.

概要

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An efficient finite element method, the sliding element method, is proposed for dynamic analysis of the electromagnetic field in electric machines. It handles motion in a convenient way by using independent and unconnected meshes which may be freely translated or rotated. The unconnected fields solutions are coupled together at the contact interface following the constrained variational principle and by using Lagrange multipliers, which ensures complete electromagnetic continuity between the unconnected fields solutions at the contact interface. An innovative implementation is also proposed for the calculation of the Lagrange multipliers using the finite difference scheme and the virtual thin element model. The adapted periodicity condition for the contact interface is also developed from the classical periodicity condition in order to reduce the analysis domain. The sliding element method is first validated by checking the electromagnetic continuity throughout the coupling interface and the effects of the periodicity conditions in an application to a magnetostatic problem for a simple model of a one pole pitch motor. A time varying problem is also examined with the same model and the results obtained at quasi stationary state are compared with those computed by the up-wind finite element method.
社団法人電気学会の論文