Boundary-integral method for calculating poloidal axisymmetric AC magnetic fields


Boundary-integral method for calculating poloidal axisymmetric AC magnetic fields

Priede, J.; Gerbeth, G.

This paper presents a novel boundary-integral equation (BIE) method for the calculation of poloidal axisymmetric magnetic fields applicable in a wide range of AC frequencies. The method is based on the vector potential formulation and it uses the Green's functions of Laplace and Helmholtz equations for the exterior and interior of conductors, respectively. In such a way, a coupled system of two complex surface-boundary equations is obtained that reduces the problem of finding the field distribution in the whole space to the determination of the vector potential and its normal derivative on the surface only. This reduction comes at the price of an increased complexity of the Green's function for the axisymmetric Helmholtz equation whose calculation is discussed in detail. The method is verified by comparing with the analytical solution for a sphere in a uniform external AC field. Application of the method is demonstrated for a simple model inductor.

  • IEEE Transactions on Magnetics 42(2006)2,Part 2, 301-308

Permalink: https://www.hzdr.de/publications/Publ-6821
Publ.-Id: 6821