发表机构
Tata Consultancy Services Research（塔塔咨询服务研究）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种无需精确阻抗信息的基于优化的固定时间控制算法，利用固定时间稳定性和控制李雅普诺夫函数分析，结合二次规划求解，在IEEE-33节点网络上验证了电压在固定时间内收敛到安全限值，优于现有鲁棒控制方法。
AI 中文摘要
本文介绍了一种基于优化的固定时间控制算法，用于解决辐射状且平衡的配电网络的电压调节问题。所提出的算法不需要精确的网络阻抗（电阻和电抗）的先验知识，但保证电压在固定时间窗口内收敛到预定义的安全限值。我们采用固定时间稳定性（FxTs）和控制李雅普诺夫函数（CLF）的结果来分析底层算法的稳定性和鲁棒性，然后利用二次规划（QP）方法对其进行综合。我们首先解析地给出控制增益和设计参数的充分条件，这些条件可以确保在固定时间内实现电压调节。随后，我们将现有的电压调节问题转化为等价的基于QP的优化框架，并将上述条件转化为寻找电压稳定可行解。我们在IEEE-33节点配电网络上实证验证了所提算法的有效性，并将其性能与其他现有的鲁棒控制方法进行了比较。
英文摘要
This letter introduces an optimization-based fixed time control algorithm for solving the voltage regulation problem of a radial and balanced power distribution network. The proposed algorithm requires no prior knowledge of the exact network impedance (resistance and reactance), yet guarantees voltage convergence to the predefined safe limit within a fixed time-window. We embrace results from Fixed-time stability (FxTs) and Control Lyapunov function (CLF) to analyze the stability and robustness of the underlying algorithm and then synthesize it leveraging the Quadratic Programming (QP) approach. We first analytically provide sufficient conditions on the control gains and the design parameters, that can ensure voltage regulation in fixed-time. Thereafter we transform the existing voltage regulation problem into an equivalent QP-based optimization framework and translate the aforesaid conditions to find feasible solutions for voltage stability. We empirically verify the efficacy of our proposed algorithm on the IEEE-33 bus distribution network and compare its performance against other existing robust control methods.
Comments8 pages, 6 figures
