Design of Power Delivery Network Droops

Based on a simple and typical power delivery network structure, the impedance profile is expressed in a novel form through a complicated derivation and then the Fourier transform is used to calculate the timedomain impedance response. After that, an exactly analytical formula of the load voltage droop induced by an ideal current step is derived. The analytical results are exactly matched with the commercial simulation tool. The resonant frequency is derived, and its damped property is discussed. Through the properties derived from the simple structure, a more complicated power delivery network is designed in control. The step current response in timedomain is also simulated to show the voltage droops, as the design expected.