论文标题

使用线性化的延伸近似的智能逆变器的lyapunov稳定性

Lyapunov Stability of Smart Inverters Using Linearized DistFlow Approximation

论文作者

Saha, Shammya Shananda, Arnold, Daniel, Scaglione, Anna, Schweitzer, Eran, Roberts, Ciaran, Peisert, Sean, Johnson, Nathan G.

论文摘要

如果设定点未正确配置,则使用预设操作条件来确定真实和反应性电源注入/消耗的快速智能逆变器可以在电气配电网络中创建电压不稳定性(过电压,电压振荡等)。在这项工作中,使用\ lyapnouv分析(包括网络操作条件),使用线性分布功率流程以及基于下垂的VAR和伏特控制曲线来分析得出稳定性标准。该方法通常适用于可以表示为Lipschitz函数的控制曲线。派生的Lipschitz常数是反应性发电的智能逆变器硬件限制。本地策略源自稳定性标准,该标准允许逆变器通过仅监视本地电压来调整其控制曲线,从而避免了集中式控制或与其他逆变器共享的信息。该标准独立于智能逆变器的内部时间日期。具有和没有提议的稳定技术的逆变器的仿真结果表明,智能逆变器如何在多种情况下减轻本地电压振荡并减轻变电站的真实和反应性流动干扰。该研究的结论是关于控制策略如何抑制太阳间歇性和网络攻击引起的振荡的例证。

Fast-acting smart inverters that utilize preset operating conditions to determine real and reactive power injection/consumption can create voltage instabilities (over-voltage, voltage oscillations and more) in an electrical distribution network if set-points are not properly configured. In this work, linear distribution power flow equations and droop-based Volt-Var and Volt-Watt control curves are used to analytically derive a stability criterion using \lyapnouv analysis that includes the network operating condition. The methodology is generally applicable for control curves that can be represented as Lipschitz functions. The derived Lipschitz constants account for smart inverter hardware limitations for reactive power generation. A local policy is derived from the stability criterion that allows inverters to adapt their control curves by monitoring only local voltage, thus avoiding centralized control or information sharing with other inverters. The criterion is independent of the internal time-delays of smart inverters. Simulation results for inverters with and without the proposed stabilization technique demonstrate how smart inverters can mitigate voltage oscillations locally and mitigate real and reactive power flow disturbances at the substation under multiple scenarios. The study concludes with illustrations of how the control policy can dampen oscillations caused by solar intermittency and cyber-attacks.

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