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Regular Paper | Open Access

Identification of the Worst-case Static Voltage Stability Margin Interval of AC/DC Power System Considering Uncertainty of Renewables

Wanbin Liu1,2, Shunjiang Lin1,2 ( ), Yuerong Yang1,2, Mingbo Liu1,2, Qifeng Li3
School of Electric Power Engineering, South China University of Technology, Guangzhou 510640, China
Guangdong Key Laboratory of Clean Energy Technology, South China University of Technology, Guangzhou 511458, China
Department of Electrical and Computer Engineering, University of Central Florida, Orlando, FL 32816, USA
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Abstract

Calculation of static voltage stability margin (SVSM) of AC/DC power systems with lots of renewable energy sources (RESs) integration requires consideration of uncertain load growth and renewable energy generation output. This paper presents a bi-level optimal power flow (BLOPF) model to identify the worst-case SVSM of an AC/DC power system with line commutation converter-based HVDC and multi-terminal voltage sourced converter-based HVDC transmission lines. Constraints of uncertain load growth's hypercone model and control mode switching of DC converter stations are considered in the BLOPF model. Moreover, uncertain RES output fluctuations are described as intervals, and two three-level optimal power flow (TLOPF) models are established to identify interval bounds of the system worst-case SVSM. The two TLOPF models are both transformed into max–min bi-level optimization models according to independent characteristics of different uncertain variables. Then, transforming the inner level model into its dual form, max–min BLOPF models are simplified to single-level optimization models for direct solution. Calculation results on the modified IEEE-39 bus AC/DC case and an actual large-scale AC/DC case in China indicate correctness and efficiency of the proposed identification method.

Keywords

convex relaxationoptimal power flowAC/DC power systemcontrol mode switchingdual programmingmulti-level optimizationstatic voltage stability margin

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CSEE Journal of Power and Energy Systems
Volume 10 Issue 3,
May 2024
Pages 974-987
DOI: 10.17775/CSEEJPES.2022.06390
Cite this article:
Liu W, Lin S, Yang Y, et al. Identification of the Worst-case Static Voltage Stability Margin Interval of AC/DC Power System Considering Uncertainty of Renewables. CSEE Journal of Power and Energy Systems, 2024, 10(3): 974-987. https://doi.org/10.17775/CSEEJPES.2022.06390

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Received: 19 September 2022
Revised: 09 March 2023
Accepted: 29 March 2023
Published: 08 September 2023
© 2022 CSEE.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
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