On Stability of Distributed-Averaging Proportional-Integral Frequency Control in Power Systems

Distributed consensus-based controllers for optimal secondary frequency regulation of microgrids and power systems have received substantial attention in recent years. This letter provides a Lyapunov-based proof that, under time-scale separation, these control schemes are stabilizing wide class lossless stable nonlinear ODE system models, weak assumptions on (i) the objective functions used allocation, (ii) graph topology describing communication between agents consensus protocol. The results illustrated via simulation detailed test system.