Circuit Oriented Electromagnetic Modeling Using the PEEC Techniques

Chapter 5Inductance Computations

The availability of computers had a large impact on inductance computations. We should recognize that the computations of inductances were a tedious task in the precomputer era due to the fact that they may involve integration over volumes in space. Hence, a very important aspect of early inductance work was to make the computation with a slide rule as simply as possible. References to the early work on inductance computations are given in Ref. [1] and also in Ref. [2].

In contrast, the computation of partial inductances is not a large job today. Inductance computation has been a key part of the partial element equivalent circuit (PEEC) method from its beginning [3]. Of course, the concepts have evolved over the recent years as apparent from this chapter. Much work has been done by many researchers, for example, Refs [2, 4–7]. The satisfying aspect of the approach presented in this chapter is that a large class of important problems can be solved using this technique. For this reason, we treat this subject in detail.

The PEEC solution method is very flexible as is apparent. The approach makes inductance computations possible for many conductors in different configurations. Related approaches for PEEC inductance computations have been developed over the years. Such an example is a set of equal length parallel wires as they may occur on chips [8] ...