Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Grid-forming control for power converters based on matching of synchronous machines

Arghir, Catalin ; Jouini, Taouba LU and Dörfler, Florian (2018) In Automatica 95. p.273-282
Abstract

We consider the problem of grid-forming control of power converters in low-inertia power systems. Starting from an average-switch three-phase power converter model, we draw parallels to a synchronous machine (SM) model and propose a novel converter control strategy which dwells upon the main characteristic of a SM: the presence of an internal rotating magnetic field. In particular, we augment the converter system with a virtual oscillator whose frequency is driven by the DC-side voltage measurement and which sets the converter pulse-width-modulation signal, thereby achieving exact matching between the converter in closed-loop and the SM dynamics. We then provide a sufficient condition asserting existence, uniqueness, and global... (More)

We consider the problem of grid-forming control of power converters in low-inertia power systems. Starting from an average-switch three-phase power converter model, we draw parallels to a synchronous machine (SM) model and propose a novel converter control strategy which dwells upon the main characteristic of a SM: the presence of an internal rotating magnetic field. In particular, we augment the converter system with a virtual oscillator whose frequency is driven by the DC-side voltage measurement and which sets the converter pulse-width-modulation signal, thereby achieving exact matching between the converter in closed-loop and the SM dynamics. We then provide a sufficient condition asserting existence, uniqueness, and global asymptotic stability of a shifted equilibrium, all in a rotating coordinate frame attached to the virtual oscillator angle. By actuating the DC-side input of the converter we are able to enforce this condition and provide additional inertia and damping. In this framework, we illustrate strict incremental passivity, droop, and power-sharing properties which are compatible with conventional power system operation requirements. We subsequently adopt disturbance-decoupling and droop techniques to design additional control loops that regulate the DC-side voltage, as well as AC-side frequency and amplitude, while in the end evaluating them with numerical experiments.

(Less)
Please use this url to cite or link to this publication:
author
; and
publishing date
type
Contribution to journal
publication status
published
subject
in
Automatica
volume
95
pages
10 pages
publisher
Pergamon Press Ltd.
external identifiers
  • scopus:85047901736
ISSN
0005-1098
DOI
10.1016/j.automatica.2018.05.037
language
English
LU publication?
no
id
8232d426-e91e-4240-afcd-be9a5f7ef9eb
date added to LUP
2019-08-02 13:49:26
date last changed
2022-04-26 03:31:22
@article{8232d426-e91e-4240-afcd-be9a5f7ef9eb,
  abstract     = {{<p>We consider the problem of grid-forming control of power converters in low-inertia power systems. Starting from an average-switch three-phase power converter model, we draw parallels to a synchronous machine (SM) model and propose a novel converter control strategy which dwells upon the main characteristic of a SM: the presence of an internal rotating magnetic field. In particular, we augment the converter system with a virtual oscillator whose frequency is driven by the DC-side voltage measurement and which sets the converter pulse-width-modulation signal, thereby achieving exact matching between the converter in closed-loop and the SM dynamics. We then provide a sufficient condition asserting existence, uniqueness, and global asymptotic stability of a shifted equilibrium, all in a rotating coordinate frame attached to the virtual oscillator angle. By actuating the DC-side input of the converter we are able to enforce this condition and provide additional inertia and damping. In this framework, we illustrate strict incremental passivity, droop, and power-sharing properties which are compatible with conventional power system operation requirements. We subsequently adopt disturbance-decoupling and droop techniques to design additional control loops that regulate the DC-side voltage, as well as AC-side frequency and amplitude, while in the end evaluating them with numerical experiments.</p>}},
  author       = {{Arghir, Catalin and Jouini, Taouba and Dörfler, Florian}},
  issn         = {{0005-1098}},
  language     = {{eng}},
  month        = {{09}},
  pages        = {{273--282}},
  publisher    = {{Pergamon Press Ltd.}},
  series       = {{Automatica}},
  title        = {{Grid-forming control for power converters based on matching of synchronous machines}},
  url          = {{http://dx.doi.org/10.1016/j.automatica.2018.05.037}},
  doi          = {{10.1016/j.automatica.2018.05.037}},
  volume       = {{95}},
  year         = {{2018}},
}