Comparison of PEEC and MOM approaches to modeling of current distribution along conductors Andrijana Kuhar, Radoslav Jankoski, Vesna Arnautovski-Toseva, Lidija Ololoska-Gagoska and Leonid Grcev Ss. Cyril and Methodius University FEIT Skopje, Macedonia kuhar@feit.ukim.edu.mk Abstract —This paper presents a validity investigation of the partial element equivalent circuit (PEEC) method by comparison to a rigorous EM model found in literature. Both methods are applied on a perfect conductor placed in a conductive medium, excited by a current source at one end. The values for the current along the conductor obtained by the developed PEEC model are compared with those calculated by applying the method of moments on the mixed potential integral equation. The root mean square error of the results is presented for a wide range of frequencies and for different parameters of the system. Keywords—Partial element equivalent circuit (PEEC) method; method of moments (MoM); rms; current distribution I. INTRODUCTION Numerical simulations of electromagnetic properties are of high industrial interest. Some of the major fields of use are designing complex grounding systems and analysis of transient potentials in them [1], [2], lightning surge analysis [3], product research and development of integrated electronic circuits (enabling prevention from electromagnetic interference (EMI)), etc. For example, international EMC regulations oblige companies that develop or assemble electric products to market products that are electromagnetically compatible with other systems in their environment. The numerical solution of field problems became accessible with the development and the availability of high performance computers. The most popular numerical techniques are: finite difference methods (FDM) [4], finite element methods (FEM) [5], and the method of moments (MoM) [6]. The somewhat newer but promising numerical technique called partial element equivalent circuit (PEEC) method [7] provides a way to transform electromagnetic problems into electric circuit theory problems which can be analyzed using widely spread SPICE like solvers. This transformation is performed by creating a heterogeneous mixed circuit from a full-wave solution of the Maxwell’s equations for an electromagnetic problem. The resulting circuit is consisted of equivalent elements (impedances, admittances and sources) that take into account the electromagnetic properties of the system. The circuit based modeling has the possibility of simple inclusion of additional circuit elements when it is used with commercial circuit simulation software. Another advantage of the PEEC method is the possibility to implement the same circuit model for both time- and frequency- domain analysis. The values for the current along the conductor obtained by the PEEC method are compared with results found in [8], calculated by applying the method of moments on the mixed potential integral equation (MPIE). The comparison of the obtained results is performed via rms error calculation [9] for different parameters of the analyzed system for a range of frequencies. II. PEEC MODEL FOR THE PERFECT CONDUCTOR A. Creating the equivalent circuit The geometry of the conductor with radius a and length L and the location of the source is presented in Fig. 1. Fig.1. Geometry of a conductor in an unbounded conductive medium. The conductor is placed in an unbounded conductive environment with relative permittivity  r set to 10 and conductivity . An equivalent electric circuit for the analyzed conductor is created from a full-wave solution of the Maxwell’s equations and by applying the boundary conditions for the electric field on its surface. Coupling between segments and propagation effects are taken into account while calculating the equivalent circuit elements. In Fig. 1, the segments notated as m and n are called inductive cells and are used for calculating the partial inductances of the system a Capacitive Partition Inductive Cell z’ z z m z n+ z m+ z m- z n- z k+ z k- I s m n k L