STUDY ON TRANSIENT STABILITY CONSTRAINED OPTIMAL POWER FLOW WITH GRID-CONNECED WIND POWER

Liu Songkai; Chen Changhe; Zhang Lei; Zhou Qian; Liu Wangjiang; Ai Yukun

doi:10.19912/j.0254-0096.tynxb.2024-2372

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Acta Energiae Solaris Sinica ›› 2026, Vol. 47 ›› Issue (5) : 278-287. DOI: 10.19912/j.0254-0096.tynxb.2024-2372

STUDY ON TRANSIENT STABILITY CONSTRAINED OPTIMAL POWER FLOW WITH GRID-CONNECED WIND POWER

Liu Songkai^1,2, Chen Changhe^1,2, Zhang Lei^1,2, Zhou Qian³, Liu Wangjiang^1,2, Ai Yukun^1,2

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Abstract

The impact of wind power uncertainty and the correlation between wind farms on the power system is analyzed while maintaining the system's security, stability, and economic efficiency. A chance constrained transient stability constrained optimal power flow （CCTSCOPF） method incorporating grid-connected wind power is proposed. Initially, building upon the analysis of wind power uncertainty and accounting for the correlation among wind farms, a Gaussian mixture model based on the density peak clustering algorithm （DPC-GMM） is employed to model the probabilistic distribution of wind power output. This approach accurately captures the probabilistic characteristics of wind power generation, thus providing a crucial foundation for model development. Subsequently, a CCTSCOPF model is formulated within the framework of chance constraints, and the unscented transform method is applied to address the stochastic variables present in the model. This facilitates the derivation of probabilistic information for the output variables, thereby enabling the deterministic transformation of the uncertainty problem. Next, the zebra optimization algorithm （ZOA） is applied to solve the CCTSCOPF model, enhancing both the search efficiency and the quality of the solutions, effectively tackling the complexities of the optimization problem. Finally, case studies based on the enhanced IEEE 39-bus system are conducted, validating the accuracy and applicability of the proposed methodology.

Key words

wind power / uncertainty / transient stability / optimal power flow / chance constrained / unscented transformation

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Liu Songkai, Chen Changhe, Zhang Lei, Zhou Qian, Liu Wangjiang, Ai Yukun. STUDY ON TRANSIENT STABILITY CONSTRAINED OPTIMAL POWER FLOW WITH GRID-CONNECED WIND POWER[J]. Acta Energiae Solaris Sinica. 2026, 47(5): 278-287 https://doi.org/10.19912/j.0254-0096.tynxb.2024-2372

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