W-element RLGC matrices calculation for power distribution planes modeling using MCTL matrix method

The ever-increasing demands of advanced computing and communication have been driving the semiconductor technology to change with each passing day following Moore’s law. As a consequence, advanced electronic packages have been developed and predictive modeling of Power Distribution Network (PDN) becomes more and more important. In this paper, we present an efficient methodology for predictive modeling of multilayered PDNs. This methodology is based on Multi-Conductor Transmission Line (MCTL) which will be modeled by W-Elements. Equations of RLGC Matrices will be given and effective self and mutual inductance will be proposed to efficiently describe the inductive interactions among coupled signal lines. Test structures were designed and simulated up to 50 GHz. A good correlation was obtained between model and full-wave solver based on the method of Moments. The proposed model substantially reduces the CPU run time and memory resources that requires only few seconds and small memory for which the EM solver would have taken several minutes, or even hours, and much more memory.