Modeling and Control of Wave Propagation in a Ring With Applications to Power Grids
Modeling and Control of Wave Propagation in a Ring With Applications to Power Grids
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DOI：
10.1109/tac.2018.2889064
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发表时间：
2019-09
影响因子：
6.8
通讯作者：
L. Sirota;A. Annaswamy
中科院分区：
文献类型：
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作者：
L. Sirota;A. Annaswamy
本文关注的是使用连续的方法在电网中的摆动动力学的治疗。而不是解决的问题，在一个离散的系统中的振荡，我们使用偏微分方程作为一个传播的机电波的摆动动力学模型。一个环形几何与一维波动方程被用来分析的基础动力学。提出了一种利用内波抑制的概念来抑制系统动力学的控制方法。与弦等有边界的区域不同，任何集中输入到环中的波都会产生两个方向的波，从而防止总吸收。使用一个明智的集中控制输入的组合，它表明，可以产生一个近单向波，最小的回波。由此产生的闭环系统被证明是稳定的。示出的整体建模和控制方法是可实施的，在电网中使用相量测量单元作为传感器和灵活的交流输电系统设备，如晶闸管控制的串联补偿器，作为致动器。如何，所提出的建模和控制方法可以应用到网络的环简要讨论。数值仿真验证了理论推导的正确性。
This paper concerns the treatment of swing dynamics in a power grid using a continuous approach. Rather than addressing the problem as oscillations in a discrete system, we model the swing dynamics as a propagating electro-mechanical wave using a partial differential equation. A ring geometry with a one-dimensional wave equation is used to analyze the underlying dynamics. A control method is proposed to damp the system dynamics using the concept of Interior Wave Suppression. Unlike domains with boundaries such as strings, any concentrated input to the ring generates waves in two directions, thereby preventing total absorption. Using a judicious combination of concentrated control inputs, it is shown that a near unidirectional wave can be generated, with minimal backwaves. The resulting closed-loop system is proved to be stable. The overall modeling and control methods are shown to be implementable in a power grid using phasor measurement units as sensors and flexible ac transmission system devices, such as thyristor controlled series compensator, as actuators. How, the proposed methods of modeling and control can be applied to a network of rings is briefly discussed. Numerical simulations are carried out to validate the theoretical derivations.