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An Interpretable Data-Driven Dynamic Operating Envelope Calculation Method Based on an Improved Deep Learning Model

Author

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  • Yun Li

    (Shenzhen Power Supply Co., Ltd., Shenzhen 518103, China)

  • Tunan Chen

    (Shenzhen Power Supply Co., Ltd., Shenzhen 518103, China
    Tsinghua Shenzhen International Graduate School, Tsinghua University, Shenzhen 518055, China)

  • Jianzhao Liu

    (Shenzhen Power Supply Co., Ltd., Shenzhen 518103, China)

  • Zhaohua Hu

    (Shenzhen Power Supply Co., Ltd., Shenzhen 518103, China)

  • Yuchen Qi

    (Tsinghua Shenzhen International Graduate School, Tsinghua University, Shenzhen 518055, China)

  • Ye Guo

    (Tsinghua Shenzhen International Graduate School, Tsinghua University, Shenzhen 518055, China)

Abstract

As the integration of distributed energy resources (DERs) continues to rise, the simultaneous import and export of energy can lead to excessive voltage violations. Therefore, calculating dynamic operating envelopes (DOEs), which represent time-varying export restrictions, is essential for ensuring the safe operation of distribution networks. Traditional methods for calculating DOEs rely on complete distribution network parameters for power-flow calculations. However, acquiring accurate parameters and network topology is often challenging, which limits the practical implementation of these traditional approaches. This paper proposes an interpretable model-free DOE calculation method that leverages smart meter data to address this issue. We train a CNN-LSTM-Attention neural network for voltage estimation, where we employ the whale optimization algorithm (WOA) to adjust hyperparameters automatically. Additionally, this paper employs the SHAP algorithm to interpret the deep learning model, providing insights into the relationship between the bus voltage and the condition of each bus, which enhances the model’s transparency and helps identify the key factors influencing voltage levels. The proposed method is validated through simulations on the IEEE 33−bus distribution network model, demonstrating favorable results.

Suggested Citation

  • Yun Li & Tunan Chen & Jianzhao Liu & Zhaohua Hu & Yuchen Qi & Ye Guo, 2025. "An Interpretable Data-Driven Dynamic Operating Envelope Calculation Method Based on an Improved Deep Learning Model," Energies, MDPI, vol. 18(10), pages 1-16, May.
  • Handle: RePEc:gam:jeners:v:18:y:2025:i:10:p:2529-:d:1655291
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    References listed on IDEAS

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    1. Ngo, Quang-Ha & Nguyen, Bang L.H. & Vu, Tuyen V. & Zhang, Jianhua & Ngo, Tuan, 2024. "Physics-informed graphical neural network for power system state estimation," Applied Energy, Elsevier, vol. 358(C).
    2. Jiang, Zhisen & Guo, Ye & Wang, Jianxiao, 2025. "Dynamic operating envelopes embedded peer-to-peer-to-grid energy trading," Applied Energy, Elsevier, vol. 377(PB).
    3. Zabihinia Gerdroodbari, Yasin & Khorasany, Mohsen & Razzaghi, Reza, 2022. "Dynamic PQ Operating Envelopes for prosumers in distribution networks," Applied Energy, Elsevier, vol. 325(C).
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