Complexity reduction of electromagnetic systems

This chapter has two main objectives: first, to propose a computer-aided consistent and accurate description of the behavior of electromagnetic devices at various speeds or frequencies and, second, to describe procedures to generate compact electrical circuits for them, with an approximatively equivalent behavior. The extracted models should have a finite complexity as low as possible, while yielding an acceptable accuracy, as well as preserve essential characteristics, such as passivity. A successful complexity reduction can be obtained if a priori and on-the-fly reduction strategies are applied before and during the model discretization, followed by a posteriori complexity reduction.