Compact Quasi-Static PEEC Modeling of Electromagnetic Problems With Finite-Sized Dielectrics

In this article, a compact partial element equivalent circuit (c-PEEC) model is presented for characterizing the electromagnetic (EM) problems with finite-sized piecewise homogeneous dielectrics. Unlike in conventional PEEC models where dielectrics are described by massive subcircuits, the proposed c-PEEC model addresses the composite conductor-dielectric problems via circuit elements resident on conductors only. Novel null-field boundary integral equations (n-BIEs) are formulated based on the surface equivalent principle and quasi-static assumption. The elimination of the magnetic field-related equivalent sources avoids the low-frequency breakdown problem caused by the weak EM coupling at low frequencies and improves the accuracy by inhibiting the numerical errors in discretizing magnetic sources. The computational cost is significantly reduced compared with the conventional models. Furthermore, the concise configuration of the c-PEEC model extends the model-order reduction (MOR) algorithms for fundamental homogeneous models to heterogeneous integration. Three numerical examples including a resonator, a radio frequency (RF) embedded passive circuit, and an interconnection problem, are studied to validate the stability, efficiency, and accuracy of the c-PEEC model. A micro-modeling circuit is obtained from the c-PEEC model to demonstrate its compatibility with the MOR algorithms.