Multilayer power delivery network modeling with modified Kron's method (MKM)

An efficient and unconventional modelling approach is established for the investigation of power delivery network (PDN) constituted by a multilayer printed circuit board (PCB) structure. The proposed model is applied to the power integrity (PI) analysis through a PDN structure with power/ground planes, vias and decoupling capacitors. The modelling methodology is based on the tensorial analysis of network (TAN) by using the modified Kron's method (MKM). The model computational algorithm is implemented as a Python program. First, the frequency dependent input impedance of the proposed multilayer PDN computed from the MKM is compared with 3D electromagnetic full wave simulations from DC to 2-GHz. Then, the instantaneous and spectrum of the distributed powers through the PDN are compared by considering a switched unit step input feeding voltage. As expected, a good prediction of the input impedance and power distribution is obtained. The proposed MKM numerical computation is beneficial compared to the 3D full wave simulation in terms of processing time and memory.