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Novel time domain integral equation method hybridized with the macromodels of circuits

This work presents a novel transient field-circuit simulation method based on the time-domain integral equation (TDIE) and circuit macromodels. The traditional field-circuit simulation method constructs the Kirchoff's equations for lumped circuits with SPICE models, but they cannot handle problems with unknown circuit structures. The proposed method creates parametric macromodels to represent the port constitutive relations of the unknown circuits. Then the obtained macromodel is coupled with TDIE to enable the transient field-circuit cosimulation. Numerical examples are given to demonstrate the validity of the proposed method. The proposed method is targeted to solve unknown I/O modeling issues in general signal integrity problems.