含类虚拟同步发电机和柔性负荷的直流微电网大信号稳定控制方法  

Large Signal Stability Control Method of DC Microgrid with Analogous Virtual Synchronous Generator and Flexible Load

作　　者：王慧[1] 赵书强[1] 陈旭博 孟建辉[1] 田艳军 高本锋[1] Wang Hui;Zhao Shuqiang;Chen Xubo;Meng Jianhui;Tian Yanjun;Gao Benfeng(Hebei Key Laboratory of Distributed Energy Storage and Micro-Grid North China Electric Power University,Baoding 071003 China)

机构地区：[1]华北电力大学河北省分布式储能与微网重点实验室,保定071003

出　　处：《电工技术学报》2025年第3期705-716,共12页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金资助项目(51807064)。

摘　　要：直流微电网稳态工作点切换、负荷变化较大时经常会出现暂态失稳现象,属于比较典型的“大信号失稳”工况,传统基于小信号的解决方法难以应对。为此,该文提出一种考虑类虚拟同步发电机(AVSG)控制参数和柔性负荷灵活调节的稳定控制方法。首先建立直流微电网的Takagi-Sugeno(TS)模糊模型。然后,借助线性矩阵不等式(LMI)工具构建Lyapunov函数以估计目标稳态点的吸引域。若目标稳态点的最大估计吸引域(LEDA)包含初始稳态点,则系统是渐近稳定的;否则存在失稳的风险。此时,利用灵活可调的虚拟阻尼、虚拟惯量和柔性负荷等资源,让目标稳态点的LEDA直接或者间接包含初始稳态点,从而消除振荡失稳的风险。研究结果表明:基于吸引域理论改进虚拟阻尼和虚拟惯量等控制参数以及工作点运行轨迹,是一种实用且有效保障系统稳定运行的方法。最后,通过硬件在环仿真(HIL)进行了验证。To ensure the stable operation of the system,the academic community has conducted a large amount of research on small signal modeling and stability analysis of DC microgrids.However,the conclusions of small signal analysis are only valid within a local range,and the size of this range is uncertain.Therefore,methods based on small signal analysis are difficult to solve the problem of large disturbance instability in DC microgrids.When the system switches from the initial steady-state point to the target steady-state point,oscillation instability often occurs when the load changes significantly.To this end,a stable control method considering the control parameters of analogous virtual synchronous generator(AVSG) and flexible load regulation is proposed.Firstly,establish a Takagi Sugeno(TS) fuzzy model for the DC microgrid.Then,the Lyapunov function is constructed with the help of linear matrix inequality(LMI) tool to estimate the domain of attraction of the target steady-state point.If the largest estimated domain of attraction(LEDA) of the target steady-state point includes the initial steady-state point,then the system is asymptotically stable,otherwise there is a risk of instability.At this point,utilizing the flexible and adjustable virtual damping,virtual inertia,and flexible load resources within the DC microgrid,the LEDA of the target steady-state point can directly or indirectly include the initial steadystate point,thereby eliminating the risk of oscillation instability.To verify the effectiveness of the proposed method,hardware in the loop(HIL) simulation experiments have been built.The test results of control parameters show that adjusting the size of kd and Cvir until LEDA includes the initial steady-state point can avoid the risk of system oscillation instability.In addition,the test results of the operating trajectory show that by adjusting the operating trajectory of the system's operating points through flexible loads,while meeting the final load demand,the domain of attraction of the latter steady-

关 键 词：直流微电网 大信号稳定 吸引域估计 类虚拟同步发电机 柔性负荷 

分 类 号：TM71[电气工程—电力系统及自动化]