
Modelling and stability analysis of virtual synchronous machine using harmonic state‐space modelling method
Author(s) -
Chen XuDong,
Yu SiRu,
Ge XingLai
Publication year - 2019
Publication title -
the journal of engineering
Language(s) - English
Resource type - Journals
ISSN - 2051-3305
DOI - 10.1049/joe.2018.8601
Subject(s) - harmonics , control theory (sociology) , computer science , electric power system , state space representation , permanent magnet synchronous generator , harmonic analysis , harmonic , stability (learning theory) , inertia , harmonic balance , synchronous motor , time domain , power (physics) , nonlinear system , engineering , voltage , electronic engineering , algorithm , physics , control (management) , artificial intelligence , machine learning , quantum mechanics , classical mechanics , electrical engineering , computer vision
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.