Circuit Oriented Electromagnetic Modeling Using the PEEC Techniques

Chapter 6Building PEEC Models

In this chapter, we consider how partial element equivalent circuit (PEEC) models are built. Details of the discretization or meshing are given in Chapter 8. Further, the fundamental concepts on how the capacitive and inductive cell partial elements are formed have already been introduced in Chapters 4 and 5.

As shown in Section 3.6, the weighted residual method (WRM) includes important approximations. Some details are discussed in Chapter 1 and in Section 3.6.

The first one is the division or meshing of conductors or other materials into finite blocks, bars, and surface elements for which we preassign fixed local current or charge distributions. An example is a bar shown in Fig. 6.1, where we assign the current to be uniformly in the -direction. Another example is surface cells for which we assign a uniform charge density. This uniform assignment of the local current density or charge on a cell is part of what is called the basis function.

Mathematically, in general a large number of different functions are used to represent the current and voltage distributions. The choices include delta functions, piecewise constant, piecewise linear, and Rao–Wilton–Glisson (RWG) [1] set of basis and/or weighting functions. For some applications, it has been shown how triangular cells have been used for PEEC [2, 3].

The PEEC method [4] is based on the fundamental ...