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Publishing Language: Chinese | Open Access

Modeling and solution of transient stability constrained multi-objective optimal power flow considering renewable energy

Songkai LIU1,2Liangzhi SHI1,2Pan HU1,2,3Kun GAO4Chao YANG1,2Ming WAN1,2
College of Electrical Engineering and New Energy, China Three Gorges University, Yichang 443002, China
Hubei Provincial Collaborative Innovation Center for New Energy Microgrid, Yichang 443002, China
State Grid Hubei Electric Power Co., Ltd. Research Institute, Wuhan 430077, China
Changde Power Supply Branch of State Grid Hunan Electric Power Co., Ltd., Changde 415130, China
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Abstract

In order to cope with the impact of wind power and photovoltaic uncertainty on the safe and stable operation of the power grid and to make up for the shortcomings of the traditional single-objective optimal power flow model, a transient stability constrained multi-objective optimal power flow (TSCMOOPF) model and a solution method are proposed to take into account the wind and solar uncertainty. Firstly, an ensemble learning method based on artificial neural network (ANN), deep neural network (DNN) and surprisal-driven zoneout long short-term memory (SZLSTM) are adopted to construct a wind and photovoltaic output prediction model to improve the prediction accuracy and robustness. Secondly, considering the economy and stability of the system, a multi-objective function including the minimization of active network loss, the minimization of fuel cost, and the optimization of the voltage stability index is established to construct a TSCMOOPF model. Then, an improved reference vector guided evolutionary algorithm (RVEA) is designed for the solution. Finally, simulation experiments are carried out on the improved IEEE 39-bus system. The results show that the proposed ensemble learning method performs well in wind and photovoltaic output prediction, the multi-objective optimization model ensures transient stability while active network loss and fuel cost are reduced significantly, and the improved RVEA algorithm is better than the traditional multi-objective algorithm in terms of convergence and diversity.

CLC number: TM712 Document code: A

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Electric Power Engineering Technology
Pages 105-115

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Cite this article:
LIU S, SHI L, HU P, et al. Modeling and solution of transient stability constrained multi-objective optimal power flow considering renewable energy. Electric Power Engineering Technology, 2026, 45(3): 105-115. https://doi.org/10.12158/j.2096-3203.2026.03.012

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Received: 01 July 2025
Revised: 23 September 2025
Published: 30 March 2026
© After publication of the article, the authors shall own the right of signature. 2026.

The authors can use or share the published article under the Attribution-Non Commercial 4.0 International (CC BY-NC 4.0) license.