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An Improved Dynamic Matrix Control Algorithm and Its Application in Cold Helium Temperature Control of a Modular High-Temperature Gas-Cooled Reactor (mHTGR)

Author

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  • Zhendong Wu

    (Institute of Nuclear and New Energy Technology, Collaborative Innovation Centre of Advanced Nuclear Energy Technology, Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Tsinghua University, Beijing 100084, China)

  • Zhe Dong

    (Institute of Nuclear and New Energy Technology, Collaborative Innovation Centre of Advanced Nuclear Energy Technology, Key Laboratory of Advanced Reactor Engineering and Safety of Ministry of Education, Tsinghua University, Beijing 100084, China)

  • Jilan Zhang

    (Huaneng Nuclear Energy Technology Research Institute, Shanghai 200126, China)

Abstract

As a model predictive control (MPC) technique, dynamic matrix control (DMC) has gained widespread industrial adoption due to its straightforward model construction and clear physical interpretation. However, its effectiveness relies on the accuracy of the predictive model, where measurement inaccuracies or excessive noise in step-response coefficients may significantly degrade control performance. This study enhances robustness of DMC by implementing finite impulse response (FIR) filters on measured step-response coefficients while providing theoretical proof of its stability. The improved algorithm is applied to cold helium temperature control of the modular High-Temperature Gas-Cooled Reactor (mHTGR). A cascade control structure is adopted, where the inner loop uses a PID controller to ensure system stability, while the outer loop uses DMC to adjust the setpoint of the hot helium temperature, thereby controlling the cold helium temperature. Numerical simulation results demonstrate significant improvements in temperature control performance and enhanced robustness of the modified DMC method.

Suggested Citation

  • Zhendong Wu & Zhe Dong & Jilan Zhang, 2025. "An Improved Dynamic Matrix Control Algorithm and Its Application in Cold Helium Temperature Control of a Modular High-Temperature Gas-Cooled Reactor (mHTGR)," Energies, MDPI, vol. 18(9), pages 1-17, April.
  • Handle: RePEc:gam:jeners:v:18:y:2025:i:9:p:2145-:d:1639565
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    References listed on IDEAS

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    1. Li Wang & Yuanli Cai & Xin Zan & Taseer Muhammad, 2022. "Distributed Double-Layered Dynamic Matrix Control for Large-Scale System," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-15, May.
    2. Jiang, Di & Dong, Zhe, 2019. "Practical dynamic matrix control of MHTGR-based nuclear steam supply systems," Energy, Elsevier, vol. 185(C), pages 695-707.
    3. Di Jiang & Zhe Dong & Miao Liu & Xiaojin Huang, 2018. "Dynamic Matrix Control for the Thermal Power of MHTGR-Based Nuclear Steam Supply System," Energies, MDPI, vol. 11(10), pages 1-15, October.
    4. Jiang, Di & Dong, Zhe, 2020. "Dynamic matrix control for thermal power of multi-modular high temperature gas-cooled reactor plants," Energy, Elsevier, vol. 198(C).
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