A simplified coupled model for square spiral inductor on silicon substrate

Coupled model of square spiral inductor is simplified in this work for the purpose of fast estimation of inductor performance. The inductor structure is divided into two coupled parallel multi-conductor networks without comer segments. Two-dimensional numerical method is applied to each network to extract its distributed parameters for network matrices calculation. Equivalent circuit is built after connecting the two networks. Verification with momentum and measurement results demonstrates the accuracy and scalability of this model.