Single Summation Expression for the Impedance of Rectangular PCB Power-Bus Structures Loaded With Multiple Lumped Elements

In this paper, a single summation expression is derived for the impedance of rectangular printed circuit board (PCB) power-bus structures populated with numerous lumped elements. This is based on a summation formula of a Fourier series, which has already been used to derive a fast summation algorithm for calculating the impedance of bare multilayer PCBs. The theoretical results obtained with the single summation agree well with the results of the common circuit theory. The single summation expression allows for a very fast and accurate impedance computation of populated PCBs