Sensitivity Analysis of PCB Interconnect and Package with TAN Formalism

This paper presents a mathematical method for the sensitivity analysis (SA) applied to a planar PCB. This fast SA is based on Tensorial Analysis of Network (TAN). The SA mathematical derivations are established based on the Kron's mesh impedance tensor obtained via the PCB Kron's equivalent graph topology. To illustrate the method feasibility, the proof of concept (POC), a simple microstrip PCB with lumped element models is proposed. The effects of POC parameters on the insertion loss from DC to 5 GHz are studied. The efficiency of the Kron-based SA is proved by comparing our method with ADS^® parametric simulations. The most effective parameter influencing insertion loss of the POC is found within our approach.