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Article

Dynamic Clustering of Operating Points for Online Equivalent Modeling of Interconnected Power Grids with Renewable Energy

School of Electric Power Engineering, South China University of Technology, Guangzhou 510641, China
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Author to whom correspondence should be addressed.
Sustainability 2026, 18(11), 5778; https://doi.org/10.3390/su18115778 (registering DOI)
Submission received: 13 May 2026 / Revised: 29 May 2026 / Accepted: 2 June 2026 / Published: 5 June 2026

Abstract

As renewable energy sources become increasingly integrated into interconnected power networks, system operating points (OPs) undergo frequent and unpredictable shifts. However, conventional delays in updating equivalent model parameters during these OP transitions often compromise modeling accuracy. To address this challenge, this study proposes an online dynamic OP clustering method for interconnected grids featuring wind and photovoltaic generation. First, an equivalent model for renewable-integrated interconnected grids is established. Subsequently, a dynamic OP clustering strategy is developed; this strategy combines an offline construction phase utilizing joint probability distributions and data clustering with an online update mechanism that dynamically adjusts cluster boundaries via membership calculations. This approach enables real-time clustering, effectively minimizing equivalence errors and adapting swiftly to ongoing network variations. Simulation results based on the China–Mongolia interconnected power grid demonstrate that the proposed method significantly outperforms traditional static approaches in both equivalence accuracy and computational adaptability. By delivering precise, real-time network equivalents, this approach provides robust support for practical grid operations, including online security assessment, optimal power dispatching, and transient stability analysis, thereby contributing to the long-term stability and sustainability of modern power systems.
Keywords: network equivalence; equivalent model; operating point; cluster strategy; renewable energy integration; sustainable power systems network equivalence; equivalent model; operating point; cluster strategy; renewable energy integration; sustainable power systems

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MDPI and ACS Style

Kang, J.; Wei, C.; Tang, W. Dynamic Clustering of Operating Points for Online Equivalent Modeling of Interconnected Power Grids with Renewable Energy. Sustainability 2026, 18, 5778. https://doi.org/10.3390/su18115778

AMA Style

Kang J, Wei C, Tang W. Dynamic Clustering of Operating Points for Online Equivalent Modeling of Interconnected Power Grids with Renewable Energy. Sustainability. 2026; 18(11):5778. https://doi.org/10.3390/su18115778

Chicago/Turabian Style

Kang, Jiaxi, Cihang Wei, and Wenhu Tang. 2026. "Dynamic Clustering of Operating Points for Online Equivalent Modeling of Interconnected Power Grids with Renewable Energy" Sustainability 18, no. 11: 5778. https://doi.org/10.3390/su18115778

APA Style

Kang, J., Wei, C., & Tang, W. (2026). Dynamic Clustering of Operating Points for Online Equivalent Modeling of Interconnected Power Grids with Renewable Energy. Sustainability, 18(11), 5778. https://doi.org/10.3390/su18115778

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