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Journal Articles Automatica Year : 2021

A Behavioural Dynamic Model for Constant Power Loads in Single-Phase AC Systems

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 voltagecurrent 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.
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Dates and versions

hal-03430910 , version 1 (16-11-2021)

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Robert Griñó, Romeo Ortega, Emilia Fridman, Jin Zhang, Frédéric Mazenc. A Behavioural Dynamic Model for Constant Power Loads in Single-Phase AC Systems. Automatica, 2021, ⟨10.1016/j.automatica.2021.109744⟩. ⟨hal-03430910⟩
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