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Efficient operation strategy for the thermal plants via hierarchical MPC based on reduced-order Koopman modeling

Author

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  • Xu, Zihang
  • Xiao, Yu
  • Yuan, Yuan
  • Xu, Xiaodong
  • Dubljevic, Stevan

Abstract

Operational efficiency has become a paramount concern in modern thermal power plants, where improved control directly translates to significant resource conservation. To address the inherent strong nonlinearities in boiler-turbine systems, this study firstly develops a novel hierarchical model predictive control (HMPC) framework based on an advanced reduced-order Koopman modeling approach. The proposed methodology combines sparse neural networks (NN) with the Generalized Sparse Identification of Nonlinear Dynamics (GSINDy) algorithm to transform nonlinear dynamics into a more tractable linear representation, while employing weighted proper orthogonal decomposition (POD) for effective dimension reduction. Compared to conventional Extended Dynamic Mode Decomposition (EDMD)-based Koopman models, our approach achieves superior prediction accuracy without substantially increasing model complexity. The resulting HMPC framework implements a two-layer control architecture: the high-layer computes optimal trajectories over extended horizons, while the low-layer ensures precise tracking through shorter intervals, with seamless coordination enabled by an innovative waysets-based communication mechanism. Comprehensive simulation studies under various load-varying scenarios demonstrate that the proposed framework outperforms traditional centralized tracking MPC in both control efficiency and dynamic response. It meets the requirement of control efficiency under load demand variations.

Suggested Citation

  • Xu, Zihang & Xiao, Yu & Yuan, Yuan & Xu, Xiaodong & Dubljevic, Stevan, 2025. "Efficient operation strategy for the thermal plants via hierarchical MPC based on reduced-order Koopman modeling," Energy, Elsevier, vol. 340(C).
  • Handle: RePEc:eee:energy:v:340:y:2025:i:c:s0360544225049138
    DOI: 10.1016/j.energy.2025.139271
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    References listed on IDEAS

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    1. Kong, Xiaobing & Abdelbaky, Mohamed Abdelkarim & Liu, Xiangjie & Lee, Kwang Y., 2023. "Stable feedback linearization-based economic MPC scheme for thermal power plant," Energy, Elsevier, vol. 268(C).
    2. Bethany Lusch & J. Nathan Kutz & Steven L. Brunton, 2018. "Deep learning for universal linear embeddings of nonlinear dynamics," Nature Communications, Nature, vol. 9(1), pages 1-10, December.
    3. Garmaev, Sergei & Fink, Olga, 2024. "Deep Koopman Operator-based degradation modelling," Reliability Engineering and System Safety, Elsevier, vol. 251(C).
    4. Wang, Zhu & Liu, Ming & Yan, Junjie, 2021. "Flexibility and efficiency co-enhancement of thermal power plant by control strategy improvement considering time varying and detailed boiler heat storage characteristics," Energy, Elsevier, vol. 232(C).
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