异构逆变器并联系统改进Gershgorin圆稳定性判据及其多维谐振特性分析  

Improved Gershgorin-Circle Stability Criterion and Multi-Dimensional Resonance Characteristics Analysis for Heterogeneous Inverter Paralleled System

作　　者：林鸿彬 葛平娟 徐海亮 吴瀚 张伟杰 Lin Hongbin;Ge Pingjuan;Xu Hailiang;Wu Han;Zhang Weijie(College of New Energy China University of Petroleum(East China),Qingdao 266580 China)

机构地区：[1]中国石油大学(华东)新能源学院,青岛266580

出　　处：《电工技术学报》2024年第8期2265-2280,共16页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金(52077222);山东省自然科学基金(ZR2020ME202)资助项目。

摘　　要：以新能源为主体的新型电力系统正逐步呈现出异构逆变器并联系统特征,即以跟网型与构网型两类逆变器共存的形式呈现。为了全面准确地分析异构逆变器并联系统的稳定性问题,充分计及逆变器间、逆变器与电网间的交互影响,该文建立多逆变器的交互导纳矩阵模型。同时,提出一种基于Gershgorin圆定理的多机稳定性判据,通过引入距离向量函数简化分析过程。然后,基于改进的稳定性判据提出一种参数灵敏度计算方法,并量化分析了系统关键作用因子对异构系统稳定性的影响程度。最后,通过时域仿真算例与实验,验证了理论分析的有效性和稳定性判据的有效性。The modern power system has undergone a significant transformation with the high penetration of new energy sources and power electronic equipment.A distinctive feature of the power supply system dominated by new energy sources is the emergence of the heterogeneous inverter paralleled system(HIPS),characterized by the coexistence of grid-following(GFL)and grid-forming(GFM)inverters.Compared to a single-type multi-inverter paralleled system,HIPS needs to consider the device interactions and uncertainties introduced by differences between inverters.This paper focuses on the multi-dimensional resonance characteristics of HIPS and investigates the effects of interactions between different inverter types on system stability by establishing the HIPS interaction admittance matrix model.Since the GFL is synchronized by a phase-locked loop(PLL)and the GFM is self-synchronized by a power-synchronized loop(PSL),the effects of PLL,PSL,and delay are comprehensively considered when establishing the HIPS interaction admittance matrix.It enables accurate modeling of different inverter types.An improved Gershgorin-circle stability criterion(GCSC)is proposed.The introduction of a distance vector function F simplifies the analyzing process.A parameter sensitivity calculation method based on GCSC is proposed,and the stability effects of key action factors on HIPS are quantitatively analyzed.Finally,the effectiveness of the theoretical analysis and stability criterion is verified by time-domain simulation arithmetic and experiments.If the distance vector F is less than zero,the system is judged unstable.This method can determine system stability and visually analyze the oscillation point of the system.Compared to traditional methods such as the Nyquist criterion and modal analysis method,the GCSC reduces algorithm running time to 26%and CPU usage to 17%.The following conclusions can be drawn.(1)The high-frequency resonant instability of the grid-following inverter paralleled system(GFLs)in a weak grid is primarily caused by the instab

关 键 词：构网型逆变器 跟网型逆变器 异构逆变器并联系统 Gershgorin圆定理 参数灵敏度分析 

分 类 号：TM464[电气工程—电器]