电源分配网络阻抗分析及去耦电容优化

高速印制板电源分配网络（power delivery networks，PDN）受电电源端口具有瞬时电流大、目标阻抗小的特点。针对任意形状电源板的阻抗问题，提出一种基于解析式与有限差分法的互补模型，并在此基础上结合粒子群算法实现多个受电电源端口的阻抗优化。通过 Matlab 仿真，发现互补模型的结果与全波有限元法的基本吻合，计算时间则大幅缩短。测量结果表明，优化后实验板的多个受电电源端口阻抗均满足各自的目标值要求。

Impedance analysis and decoupling capacitance optimization of power delivery network

Power ports of power delivery networks(PDN) in high digital circuit are designed to satisfy the requirements of large transient current and low target impedance. In order to solve the impedance matrix of arbitrary shaped power plane, a new time-efficient complementation method, combining analytical expression with finite difference method, was proposed. Then PSO (particle swarm optimization) technique was processed to find the optimum values and positions of decoupling capacitors. Matlab simulation shows the result of the proposed method is basically consistent with that of the full-wave finite element method, but its calculation time is greatly reduced. The calculation and the measurement results both indicate that impedance of all power ports after optimization can meet the demands of their target impedance.