2023/11/20 by Yifan Wang, Wang, Yifan, Shuai Liu +5 · 2 citations
Engineering · Mathematics · #Automatic frequency control #Computer science #Control (management) #Control theory (sociology) #Convergence (economics) #Electric power system #Exponential stability #FOS: Mathematics #Frequency Control in Power Systems #Lyapunov function #Mathematical optimization #Mathematics #Microgrid Control and Optimization #Operator (biology) #Optimization and Control (math.OC) #Power (physics) #Power Balance #Power System Optimization and Stability #Robustness (evolution) #Telecommunications
paper · pdf · doi:10.48550/arxiv.2311.11681
openalex publication_date 2023/11/20 · openalex created_date 2023/11/23 · openalex updated_date 2026/07/28
The increasing penetration of renewable energy resources and utilization of energy storage systems pose new challenges in maintaining power system's stability. Specifically, the cost function of regulation no longer remains smooth, which complicates the task of ensuring nominal frequency and power balance, particularly in a distributed manner. This paper proposes a distributed proximal primal-dual (DPPD) algorithm, based on a modified primal-dual dynamics equipped with operator splitting technique, to address this nonsmooth frequency regulation problem on load side. By Lyapunov stability and invariance theory, we prove that DPPD algorithm achieves global asymptotic convergence to the optimal solution that minimizes the nonsmooth regulation cost, while restoring the frequency under constraints such as capacity limits of load and power flow. Finally, we demonstrate the effectiveness and robustness of DPPD algorithm by simulations on the IEEE 39-bus system.