New coupled EM and circuit simulation flow for integrated spiral inductor by introducing symbolic simplified expressions

Micro-electronics component and circuit design requires long computation time; to reduce this time, the use of simplification techniques has been introduced. In order to obtain a first validation of the method, a first test case is presented; the simplification techniques have been applied to the analytical expression of Y parameters of an inductor equivalent circuit. The resulting expressions have been used in the fitting process in order to reproduce the behaviour of a simulated inductor. Five different optimization algorithms, both deterministic (Powell and Direct) and stochastic (Crs, Crs Enhanced and optIA) have been tested for the fitting. The result of the introduction of the simplification techniques has been the reduction of the running time during the fitting. From an optimization point of view, the best results have been obtained by the stochastic algorithms Crs, and opt. IA. © 2008 IEEE.