Extracting the inductance of complex interconnect topologies is a formidable task, and simulating the resulting dense partial inductance matrix is even more difficult. Furthermore, it is well known that simply discarding smallest terms to sparsify the inductance matrix can render the partial inductance matrix indefinite and result in an unstable circuit model. In this paper, we describe a methodology for incrementally generating a sparse partial inductance matrix based on using moments about s=0 to determine when a sufficient number of mutual inductances have been captured. The minimally required mutual inductances are extracted for a provably stable model.
Zhijiang He, Mustafa Celik, Lawrence T. Pileggi