Modelling and stability analysis of virtual synchronous machine using harmonic state-space modelling method

The Journal of Engineering

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[1] Department of Electrical Engineering, Southwest Jiaotong University, Chengdu, Sichuan, People's Republic of China;Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, Southwest Jiaotong University, Chengdu, Sichuan, People's Republic of China;Department of Electrical Engineering, Southwest Jiaotong University, Chengdu, Sichuan, People's Republic of China;

关键词: time-varying systems;    synchronous machines;    power electronics;    state-space methods;    power system harmonics;    power grids;    damping;    eigenvalues and eigenfunctions;    linear systems;    synchronous generators;    time-domain analysis;    stability;    direct time-domain simulation results;    virtual synchronous machine;    harmonic state-space modelling method;    VSM technology;    high permeability;    distributed energy;    damping characteristics;    synchronous generator;    characteristic harmonics;    unexpected harmonics;    power electronic elements;    time-variant system;    harmonic coupling mechanism;    grid-connected VSM;    harmonic state-space modelling approach;    harmonic state-space model;    theoretical modelling method;    linear time-varying periodic model;   

DOI  :  10.1049/joe.2018.8601

来源: publisher

【 摘 要 】

A modelling and stability analysis method of a virtual synchronous machine (VSM) is proposed in this study. VSM technology is used to solve the problems caused by the high permeability of distributed energy. Though VSM has inertia and damping characteristics, it is more prone to oscillate than a synchronous generator because of the characteristic and unexpected harmonics generated by power electronic elements. The traditional linear time invariant based model is difficult to analyse a time-variant system and cannot analyse harmonic coupling mechanism accurately. This study proposes a new model of a grid-connected VSM by using the harmonic state-space modelling approach, which is a typical linear time-varying periodic model and considers different harmonics of the system. The stability of the system is analysed by eigenvalues of system matrix, which is based on the harmonic state-space model. The theoretical modelling method and stability analysis are verified by direct time-domain simulation results.

【 授权许可】

CC BY