The automated design of integrated spiral inductors requires efficient substrate eddy current modeling techniques for initial design space exploration. In this paper, we introduce a new multi-layer substrate modeling technique for spiral inductors based on complex image theory. Our substrate modeling approach combines explicit closed-form expressions with techniques that exploit the spiral inductor's geometry. The new approach provides up to 5 orders of magnitude performance improvement over traditional methods using field solvers while providing an average error of 0.1% for inductance and 3.9% for resistance over a wide range of inductor geometries and substrate configurations. Due to its speed, our technique provides a practical substrate modeling solution for rapid inductor automated synthesis. © 2005 IEEE.
|Original language||English (US)|
|Title of host publication||Midwest Symposium on Circuits and Systems|
|Number of pages||4|
|State||Published - Dec 1 2005|