Asymmetric Complex-Vector Models with Application to VSC-Grid Interaction
Journal article, 2020

The properties of complex space-vector models for asymmetric three-phase systems are investigated in this article. Most importantly, three alternative methods for the stability analysis of the asymmetric closed-loop systems are presented. The end results avoid the usage of matrix manipulations. It is shown how the theory can be applied to modeling and stability analysis of a grid-connected voltage-source converter (VSC). The methods are compared using numerical examples.


Complex space vectors

converter control

complex transfer functions



Lennart Harnefors

ABB Corporate Research Center

Xiongfei Wang

Aalborg University

Shih Feng Chou

Aalborg University

Massimo Bongiorno

Chalmers, Electrical Engineering, Electric Power Engineering, Power grids and Components

Marko Hinkkanen

Aalto University

Mikko Routimo

ABB Group

IEEE Journal of Emerging and Selected Topics in Power Electronics

2168-6777 (ISSN) 2168-6785 (eISSN)

Vol. 8 2 1911-1921 8985279

Subject Categories

Computational Mathematics

Control Engineering

Other Electrical Engineering, Electronic Engineering, Information Engineering



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