A new lumped model for on-chip inductors including substrate currents

A new lumped model for on-chip planar (square, hexagonal, octagonal) inductors is presented. The model is simple, it is based on linear passive components with frequency independent parameters and accurately accounts for the substrate leakage currents in a wide frequency range. Furthermore, the model is straightforwardly implementable in circuit simulators such as, for example, SPICE.