2020/10/24 by Amirreza Silani, Michele Cucuzzella, Silani, Amirreza +5
Engineering · #FOS: Electrical engineering #FOS: Mathematics #Microgrid Control and Optimization #Optimal Power Flow Distribution #Optimization and Control (math.OC) #Power System Optimization and Stability #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2010.12791
openalex publication_date 2020/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we present new (stochastic) passivity properties for Direct\nCurrent (DC) power networks, where the unknown and unpredictable load demand is\nmodelled by a stochastic process. More precisely, the considered power network\nconsists of distributed generation units supplying ZIP loads, i.e., nonlinear\nloads comprised of impedance (Z), current (I) and power (P) components.\nDifferently from the majority of the results in the literature, where each of\nthese components is assumed to be constant, we consider time-varying loads\nwhose dynamics are described by a class of stochastic differential equations.\nFinally, we prove that an existing distributed control scheme achieving current\nsharing and (average) voltage regulation ensures the asymptotic stochastic\nstability of the controlled network.\n