Passivity properties for regulation of DC networks with stochastic load demand⁎This work is supported by the EU Project 'MatchIT' (project number 82203). Issue 2 (2020)

• Record Type: Journal Article
• Authors: Silani, Amirreza; Cucuzzella, Michele; Scherpen, Jacquelien M.A.; Yazdanpanah, Mohammad Javad
• Is Part Of: IFAC-PapersOnLine. Volume 53:Issue 2(2020)
• Page Start: 13113
• Page End: 13118
• Publication Date: 2020
• Subjects: DC power networks -- Nonlinear systems -- Stochastic modelling -- Passivity theory; Automatic control -- Periodicals; 629.805
• DOI: 10.1016/j.ifacol.2020.12.2274
• Languages: English
• ISSNs: 2405-8963

Abstract

Abstract: In this paper we present new (stochastic) passivity properties for Direct Current (DC) power networks, where the unknown and unpredictable load demand is modelled by a stochastic process. More precisely, the considered power network consists of distributed generation units supplying ZIP loads, i.e., nonlinear loads comprised of impedance (Z), current (I) and power (P) components. Differently from the majority of the results in the literature, where each of these components is assumed to be constant, we consider time-varying loads whose dynamics are described by a class of stochastic differential equations. Finally, we prove that an existing distributed control scheme achieving current sharing and (average) voltage regulation ensures the asymptotic stochastic stability of the controlled network.