Rigorous DC Solution of Partial Element Equivalent Circuit Models

This paper presents a rigorous dc solution of 3-D Partial Element Equivalent Circuit models. Despite the decoupling of magnetic and electric fields at dc, the correct solution is not trivial. The proposed one is based on a two-step process where first the magnetostatic problem is solved; then, the electrostatic problem is faced by using the solution of the magnetostatic problem as boundary conditions and enforcing the neutrality of disconnected objects. A systematic partition computation is presented which is based on graph algorithms. Applications to the dc analysis of multiple connected and/or disconnected conductors demonstrate the accuracy of the proposed method when compared to the steady state analysis under step excitation.