A behavioural dynamic model for constant power loads in single-phase AC systems. (September 2021)

• Record Type: Journal Article
• Authors: Griñó, Robert; Ortega, Romeo; Fridman, Emilia; Zhang, Jin; Mazenc, Frédéric
• Is Part Of: Automatica. Volume 131(2021)
• Publication Date: 2021-09
• Subjects: AC electrical networks -- Constant power load -- Behavioural model -- Stability -- Delay-differential equations; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2021.109744
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: Constant power loads (CPLs) in power systems have a destabilizing effect that gives rise to significant oscillations or to network collapse, motivating the development of new methods to analyse their effect in AC and DC power systems. A sine qua non condition for this analysis is the availability of a suitable mathematical model for the CPL. In the case of DC systems power is simply the product of voltage and current, hence a CPL corresponds to a first–third quadrant hyperbola in the loads voltage–current plane. The same approach is applicable for balanced three-phase systems that, after a rotation of the coordinates to the synchronous frame, can be treated as a DC system. Modelling CPLs for single-phase (or unbalanced poly-phase) AC systems, on the other hand, is a largely unexplored area because in AC systems (active and reactive) power involves the integration in a finite window of the product of the voltage and current signals. In this paper we propose a simple dynamic model of a CPL that is suitable for the analysis of single-phase AC systems. We give conditions on the tuning gains of the model that guarantee the CPL behaviour is effectively captured.