Introducing linear magnetic materials in PEEC simulations. Principles, academic and industrial applications

In order to study impact of wiring impedances PEEC simulation method has proved to be reliable, fast, and applicable to a wide range of practical problems. However, up till now, this method is inapplicable when a piece of magnetic material is located close to one of the studied wire. In this paper we present a method that overcomes this limitation with a very little cost in computing time. Owing to it, magnetic materials can be introduced, assuming only their behavior is linear. They can be conductive or not and their permeability can be complex to account for magnetic losses. Principles of the extension are carefully established and some academic problems are solved to compare with both analytical formulation and results of FEM simulation software. To end, an industrial problem is solved to illustrate the practical interest of this extension.