A New Accurate and Fast Arithmetic for On-chip Spiral Inductors

A new simple and accurate arithmetic for the low frequency inductances of spiral inductors has been presented in this paper. It gets self-inductance by adding up each turn's self-inductance and gets mutual inductance from a simplified equivalent model. The effectiveness and accuracy have been verified by HFSS8.0 simulation, the experiment measurements and other researcher's published measurements. Compared with experiment measurements, the relative errors for this arithmetic are less than 4%. Compared with HFSS8.0 simulations, the relative errors are within 3%. So it is useful for the design and optimization of passive spiral inductors.