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Open Access

Constructing an Energy Function for Power Systems with DFIGWT Generation Based on a Synchronous-generator-mimicking Model

Yang Liu, Chenying Xu, Zehui Lin, Kaishun Xiahou, Q. H. Wu( )
School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China
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Abstract

In this paper we construct an energy function for multi-machine power systems with doubly-fed induction generator-based wind turbine (DFIGWT) according to a synchronous-generator-mimicking (SGM) model of the DFIGWT. An SGM model is proposed to approximate the dynamics of a DFIGWT. Similar to the modelling of a synchronous generator (SG), the internal dynamics of a DFIGWT are also described with differential equations of newly constructed virtual rotor angle and internal electromotive force (EMF) in the SGM model. Moreover, the power flow of a DFIGWT is expressed by nonlinear functions of its virtual rotor angle and internal EMF. The SGM model bridges the gap between the irregular and complex modelling of DFIGWTs and the well-developed energy function construction techniques for SG models. Based on the SGM model, a numerical energy function is constructed for power systems with DFIGWT generation. Both theoretical analysis and numerical studies were undertaken to validate that the proposed energy function satisfies the necessary conditions for an energy function of a power system.

Keywords

DFIGWTenergy functionmulti-machine power systemssynchronous-generator-mimicking model

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CSEE Journal of Power and Energy Systems
Volume 8 Issue 1,
January 2022
Pages 64-75
DOI: 10.17775/CSEEJPES.2020.03420
Cite this article:
Liu Y, Xu C, Lin Z, et al. Constructing an Energy Function for Power Systems with DFIGWT Generation Based on a Synchronous-generator-mimicking Model. CSEE Journal of Power and Energy Systems, 2022, 8(1): 64-75. https://doi.org/10.17775/CSEEJPES.2020.03420

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Received: 19 July 2020
Revised: 08 December 2020
Accepted: 24 December 2020
Published: 30 April 2021
© 2020 CSEE
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