Gauss-Newton Method for Fast Analysis of PDNs with Arbitrarily Shaped Power-Ground Plane Pairs

A Gauss-Newton (G-N) based method is developed for the analysis of power delivery networks (PDN) with arbitrarily shaped parallel-plate power/ground plane pairs. The proposed method allows for power integrity (PI) assessment in a few iteration steps, providing significant speed-up in comparison to alternative methods. The proposed method is tested on a practical example which includes a 16-pin ball-grid array (BGA) device and the results are observed in good agreement with those obtained from a numerical electromagnetic (EM) simulator.