Reduction of Unknowns in PEEC Structures by Exploiting Connectivity of PEEC Cells

The partial element equivalent circuit (PEEC) approach facilitates a combination of electrical circuits and electromagnetic problems because a circuit formulation of that class of problems can be achieved. The majority of the PEEC implementations use circuit solvers like SPICE or ASTAP, allowing a huge degree of freedom in the design of the circuits, which can then be analyzed. However, these solvers have to handle very large equation systems even for small structures, especially if no circuit and network topology information is exploited. In this paper, we present a method exploiting information about the circuit topology, by which we can reduce the size of the PEEC equation system to a minimum. Numerical examples are given and a validation check is accomplished, showing that the approximations that are done in this paper are feasible, and that the numerical results are in good agreement with results that are produced by a method of moments solver.