基于固定时间滑模控制的直驱风电场次同步振荡抑制  

Sub-synchronous oscillation suppression in direct-drive wind farms based on fixed-time sliding mode control

作　　者：王敏[1,2] 奚鑫泽 黄英博 那靖 WANG Min;XI Xin-ze;HUANG Ying-bo;NA Jing(Yunnan Key Laboratory of Intelligent Control and Application,Kunming University of Science and Technology,Kunming 650500,China;Faculty of Mechanical and Electrical Engineering,Kunming University of Science and Technology,Kunming 650500,China;Electric Power Research Institute of Yunnan Power Grid Co.,Ltd.,Kunming 650217,China)

机构地区：[1]昆明理工大学云南省智能控制与应用重点实验室,昆明650500 [2]昆明理工大学机电工程学院,昆明650500 [3]云南电网有限责任公司电力科学研究院,昆明650217

出　　处：《控制与决策》2025年第3期918-926,共9页Control and Decision

基　　金：国家自然科学基金项目(62433012,62273169,62373174);云南省基础研究计划项目(202201AW070005,202101BE070001-060).

摘　　要：针对直驱风电场弱交流电网诱发的次同步振荡问题,提出一种基于固定时间滑模控制的次同步振荡抑制方法.首先,根据直驱风电场弱交流电网的扰动方程,研究次同步振荡的发生机理,并对不同强度弱交流电网下的次同步振荡特性进行分析;然后,构建网侧变流器电流跟踪误差动态方程,并在滑动变量中采用双曲正切函数代替符号函数,避免传统固定时间终端滑模控制存在的奇异性问题;最后,通过设计固定时间非奇异终端滑模控制,保证电流误差在固定时间内收敛至0附近的邻域内,并利用李雅普诺夫定理验证闭环系统的固定时间稳定性.通过对比仿真验证了所提出控制方法能够在固定时间内实现直驱风电场在不同强度弱交流电网运行工况下对次同步振荡的有效抑制.To address the problem of sub-synchronous oscillations induced by the weak alternating current(AC)grid of direct-drive wind farms,this paper proposes a fixed-time sliding mode control to achieve sub-synchronous oscillation suppression.Firstly,according to the disturbance equation of the weak AC grid of a direct-drive wind farm,the mechanism of sub-synchronous oscillations is studied,and the characteristics of sub-synchronous oscillations are analyzed under different strengths of weak AC grids.Furthermore,the dynamic equation of the grid-side converter current tracking error is established,and the hyperbolic tangent function is used instead of the sign function in the sliding variable to tackle the singularity problem encountered in the traditional fixed-time terminal sliding mode control.Finally,a fixed-time non-singularity terminal sliding mode control method is proposed,in which the current error can be driven to a neighbourhood around zero in the fixed-time.The theoretical analysis is conducted to prove the fixed-time stability of a closed-loop system via the Lyapunov theory.Comparative numerical simulation is carried out to demonstrate that the sub-synchronous oscillations of the direct-drive wind farms can be suppressed in a fixed-time under different strengths of weak AC grid working scenarios.

关 键 词：直驱风电场 固定时间滑模控制 次同步振荡 弱交流电网 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]