Circuit Oriented Electromagnetic Modeling Using the PEEC Techniques

Chapter 7Nonorthogonal PEEC Models

The previous chapter is a prelude to this chapter. The fundamental techniques for constructing the nonorthogonal partial element equivalent circuit (PEEC) models are similar to the orthogonal ones. However, the compute time required for nonorthogonal structures can be significantly larger. As we learn in this chapter, the computations of the partial inductances and coefficients of potential matrices are much more challenging as well as more time consuming. Further, all nonorthogonal partial inductances are coupled, unlike orthogonal cases where only partial inductances in the same direction are coupled by partial mutual inductances. The circuit matrix will be much more dense. It is clear that a good compromise is the use of orthogonal cells in combination with nonorthogonal cells. Hence, orthogonal cells are used as much as possible. This leads to the situation where orthogonal partial elements are coupled to nonorthogonal partial elements.

Early on in the history of PEEC models, simplified nonorthogonal geometries were approximated by rectangular bars with arbitrary orientations [1–4]. Other approaches have also been proposed for nonorthogonal PEEC models using triangular cells for the problems at hand [5–7]. The quadrilateral or hexahedral ...