A Fast Sparse Reluctance- and Capacitance-Based Solver for the Partial Element Equivalent Circuit Method

A new technique for the reluctance method applied to the partial element equivalent circuit method for the time-domain analysis is presented which is well suited to be combined with acceleration techniques. In particular, taking advantage of the rank deficiency of the magnetic and electric field couplings, a new technique for the sparsification of reluctance and capacitance matrices is adopted. Furthermore, the multiscale block decomposition technique has been applied to fast fill these matrices. Finally, the sparse multifrontal LU factorization has been adopted to efficiently compute the global solution. Numerical results demonstrate the validity of the proposed approach in terms of speedup and accuracy.