3-D Magnetic Scalar Potential Finite Element Formulation for Conducting Shells Coupled With an External Circuit

This paper presents a 3-D finite element formulation for a skin depth-independent shell element. With this formulation, thin conducting shells, which are multiply connected (i.e., having holes), and which can be coupled with an external circuit, can be modeled. This formulation takes into account the field variation through the depth due to skin effect. First, the method is described. Next, three numerical examples, including an automotive example, are presented.