Wideband Compact PI Equivalent Circuit for Modeling On-Chip Spiral Inductors

A novel wideband nine-element PI equivalent circuit is proposed for modeling on-chip deep-submicron spiral inductors. Mathematical formulations derived by analyzing three quality factors enable fast and accurate extraction of all model elements as frequency-independent values. The model was confirmed using three spiral inductors that were realized in a 90 nm CMOS process and compared with other models to demonstrate its superior accuracy.