LAUSR

Abstract This work investigates performance and optimal distributed controller design of power networks with time-delay (latency). Performance of the network is measured by the square of the system’s H2-norm. The focus of this paper is on allocating weights to interconnections in order to enhance the performance of the time-delay network and these weights serve as feedback gains in the system. We consider a stylized power system model that inspires our analysis. First, we provide an exact expression for the time-delay margin. Then, we find the performance formula as a function of the spectrum of the Laplacian matrix of the coupling graph, time-delay, and the distributed controller gains. Moreover, we formulate the weight allocation problem as an optimization problem and compare the cases where time-delay is considered and time-delay is neglected in the design process. Lastly, we show that in the presence of time-delay increasing connectivity does not necessarily improve the performance.