Synthesis of Compact Lumped Models From Electromagnetic Analysis Results

Synthesis of compact lumped (RLC) models from the results of an electromagnetic (EM) analysis of planar circuits is described. The technique requires precise EM analysis S-parameter data at two or more frequencies. Data at up to five frequencies allows synthesis of more complicated models. For each port-to-port (i.e., ldquobranchrdquo) connection, 662 potential branch models are first synthesized and tested. Branch models that best match the EM results at all nonsynthesis frequencies are selected. For structures for which a compact lumped model is appropriate, this technique yields models that often provide direct physical insight into the electrical nature of the modeled structure. For electrically large structures, the technique is extended by the use of supplemental internal EM analysis ports. The technique is closed form; iteration is not used.