基于全局滑模的自适应电力系统混沌容错控制

doi:10.19595/j.cnki.1000-6753.tces.221660

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摘要

当电力系统参数变动或遭受扰动后,系统极易进入局部混沌振荡状态,局部的功角振荡可能会演化为大范围的系统振荡,最终可能造成系统解列等严重后果。因此,抑制电力系统的局部混沌振荡状态具有重要意义。为抑制七阶系统的混沌状态,增强系统的抗扰能力,采用扩张观测器对系统发电机侧与负荷侧的系统项进行观测,设计了基于全局滑模的容错控制器。本文考虑了发电机侧遭受扰动与负荷侧控制器故障的情况。为减少系统在扰动下的最大偏差与稳态误差并补偿控制器故障导致的输出幅值损失,设计了基于全局滑模的自适应容错控制器。仿真结果表明,当系统分别遭受传输故障、阶跃扰动以及控制器故障时,系统在基于自适应全局滑模的容错控制器的作用下均能有效收敛至目标轨道。

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关键词 ：电力系统, 混沌, 全局滑模, 自适应, 扩张观测器

Abstract：

When the power system suffers from external disturbance or the parameters change in a certain range, the power Angle of the system may appear disordered oscillation in a certain range, that is, the system enters a chaotic state. At present, in order to suppress the chaotic state of power system, controllers using various principles have been designed, but the disturbance and controller failure are rarely considered in the design process. To solve this problem, this paper proposes an adaptive fault-tolerant control strategy based on global sliding mode, which makes the system more stable under the action of the controller.
Firstly, according to the characteristics of the seven-dimensional system, the dynamic characteristics of the system under the change of key parameters P₀ and Q₀ are obtained by using the bifurcation diagram and phase diagram. After analysis, it can be seen that when P₀ changes from small to large, the system presents a transition phenomenon from periodic to chaotic state, and when Q₀ changes from small to large, the system presents a transition phenomenon from chaotic to periodic state. Through the analysis of chaotic characteristics, the chaotic state parameters of the system are obtained.
Secondly, in order to solve the problem that the controller could not timely obtain the changes of system items due to the disturbance, an observer was designed to observe the operation characteristics of the synchronous generator rotor and input the observation results to the input end of the controller. This paper proposes a Fault-tolerant control (FTC) strategy based on global sliding mode extended observer. In order to further reduce the fluctuation of the system under the disturbance and consider the possible failure, the method of combining fixed gain and adaptive gain is adopted in the controller. A strategy of adaptive fault-tolerant control (AFTC) based on global sliding mode observer is proposed.
The simulation results show that, under the action of FTC, the state variables of the system converge to the fixed orbit, and the output of the extended observer approximates the system term in finite time. When the system suffers from transmission faults, the stable deviations of δ_m and δ_L from the current orbit and the target orbit are 0.04 and -0.07 under the action of DSMC. Under the action of FTC and AFTC, the maximum deviation of δ_m and δ_L from the target orbit is 0.022 and 0.009, and -0.038 and -0.037, respectively. When the system is subjected to step perturbation, under the action of DSMC, the stability deviation of δ_m to the target orbit after two perturbations is 0.06 and 0.35, respectively. Under the action of FTC and AFTC, δ_m rapidly converges to the original target orbit after deviating from the original orbit, and the maximum deviation from the target orbit is 0.22 and 0.05, respectively. When the system suffers from controller failure, the stability deviation of δ_L to the target orbit is -0.20 under the action of DSMC. Under the action of FTC, the stability deviation of δ_L to the target orbit is -0.16. Under the action of AFTC, δ_L converges to the vicinity of the target orbit again, and the maximum deviation of δ_L to the target orbit is -0.11, and the stability deviation is -0.013.
By analyzing the simulation results, it can be found that all the designed controllers can eliminate the chaotic state of the system, and when the system is subjected to step disturbance, transmission fault and controller fault, the maximum offset and steady-state error of the system are small under the control of AFTC.

Key words： Power system chaos global sliding mode adaptive extended state observer

收稿日期: 2022-08-30

PACS:

TM712

基金资助:

国家自然科学基金资助项目（61803233）

通讯作者: 杨洋男,1995年生,硕士,研究方向电力系统运行与控制。E-mail：2534019091@qq.com

作者简介: 于永进男,1980年生,副教授,硕士生导师,研究方向为电力系统运行与控制。E-mail：yaydjto@163.com

引用本文:

于永进, 杨洋. 基于全局滑模的自适应电力系统混沌容错控制[J]. 电工技术学报, 0, (): 81-81. Yu Yongjin, Yang Yang. Chaos Fault-tolerant Control of Adaptive Power System Based on Global Sliding Mode. Transactions of China Electrotechnical Society, 0, (): 81-81.

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