Minimizing the worst-case voltage noise for power distribution network using time-varying equivalent serial resistance

We propose an adjustment strategy for time-varying equivalent serial resistance (ESR) of the decoupling capacitor to minimize the worst-case voltage noise of power distribution network (PDN). Previous works mainly focus on how to find the optimum equivalent serial resistance to obtain the minimum voltage noise, where ESR is constant. In this paper, we first derive the closed-form expressions for the voltage response of RLC tank with the constant ESR, and analyze the conditions for input load current to create the worst-case peak voltage noise of RLC tank with the time-varying ESR. We then propose our adjustment strategy for the time-varying ESR. Experimental results show that the worst-case voltage responses generated by our method can be decreased by 30%, compared to that with the constant ESR.