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A behavioural dynamic model for constant power loads in single-phase AC systems
Automatica ( IF 6.4 ) Pub Date : 2021-06-10 , DOI: 10.1016/j.automatica.2021.109744
Robert Griñó , Romeo Ortega , Emilia Fridman , Jin Zhang , Frédéric Mazenc

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.



中文翻译:

单相交流系统恒功率负载的行为动态模型

电力系统中的恒定功率负载 (CPL) 具有不稳定效应,会导致显着振荡或网络崩溃,从而推动开发新方法来分析它们在交流和直流电力系统中的影响。一个必要条件此分析的条件是 CPL 的合适数学模型的可用性。在直流系统的情况下,功率只是电压和电流的乘积,因此 CPL 对应于负载电压 - 电流平面中的第一到第三象限双曲线。相同的方法适用于平衡三相系统,在将坐标旋转到同步坐标系后,可以将其视为直流系统。另一方面,为单相(或不平衡多相)交流系统建模 CPL 是一个很大程度上未开发的领域,因为在交流系统中(有功和无功)功率涉及电压和无功乘积的有限窗口中的积分。电流信号。在本文中,我们提出了一个简单的 CPL 动态模型,适用于分析单相交流系统。

更新日期:2021-06-10
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