Iterative methods for reluctance based PEEC models

This paper presents the application of iterative solution techniques to large sparse equation systems derived from PEEC modeling. The PEEC method (partial element equivalent circuit) is an approach to transform conducting objects into linear networks with basic electrical elements. Such equivalent circuit models can be simulated by conventional circuit solvers such as SPICE (simulation program for integrated circuit emphasis) based on the MNA (modified nodal analysis) approach. By applying appropriate sparsification techniques sparse system matrices can be obtained, adequate for iterative solvers. By using multilevel approaches linear complexity in time and memory requirements can be achieved in the best case. The suitability of different iterative methods as applied to such systems is compared by means of examples