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Chattering-free higher order sliding mode controller with a high-gain observer for the load following of a pressurized water reactor

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  • Hui, Jiuwu
  • Yuan, Jingqi

Abstract

The load following of nuclear power plants (NPPs) has been a contentious issue in the control field. In this paper, we propose a chattering-free higher order sliding mode control scheme with a high-gain observer for the load following of a pressurized water reactor (PWR) in the presence of lumped disturbances owing to model uncertainties and external disturbances. The mathematical model of the PWR system is first set up in the form of an affine nonlinear equation. Subsequently, a high-gain observer, which achieves accurate estimations of the unmeasured state and lumped disturbances, is designed. Based on the outputs of the high-gain observer, we develop a chattering-free higher order sliding mode controller to improve the load-following performance while dealing with lumped disturbances and estimation errors of the high-gain observer. In contrast to some previous sliding mode controllers for the load following of NPPs, the proposed controller is completely free from chattering effects because the control input is obtained after integration. The asymptotic stability of the overall control scheme is demonstrated by combining the Lyapunov stability theory with backstepping technology. Finally, the simulation results reveal that the maximum absolute power error is less than 1×104W with the proposed control scheme, 5×105W with a PID controller, and 4×105W with a conventional sliding mode controller. In addition, in contrast to the conventional sliding mode controller, the proposed control scheme produces smooth control input without the chattering phenomenon. Thus, the proposed chattering-free higher order sliding mode control scheme with a high-gain observer provides smoother control input, higher load-following accuracy, and stronger robustness against lumped disturbances than the PID controller and the conventional sliding mode controller.

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  • Hui, Jiuwu & Yuan, Jingqi, 2021. "Chattering-free higher order sliding mode controller with a high-gain observer for the load following of a pressurized water reactor," Energy, Elsevier, vol. 223(C).
    • Handle: RePEc:eee:energy:v:223:y:2021:i:c:s0360544221003157
    DOI: 10.1016/j.energy.2021.120066
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    References listed on IDEAS

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    1. Dong, Zhe & Pan, Yifei & Zhang, Zuoyi & Dong, Yujie & Huang, Xiaojin, 2018. "Dynamical modeling and simulation of the six-modular high temperature gas-cooled reactor plant HTR-PM600," Energy, Elsevier, vol. 155(C), pages 971-991.
    2. Lior, Noam, 2012. "Sustainable energy development (May 2011) with some game-changers," Energy, Elsevier, vol. 40(1), pages 3-18.
    3. Jiang, Di & Dong, Zhe, 2019. "Practical dynamic matrix control of MHTGR-based nuclear steam supply systems," Energy, Elsevier, vol. 185(C), pages 695-707.
    4. Locatelli, Giorgio & Boarin, Sara & Pellegrino, Francesco & Ricotti, Marco E., 2015. "Load following with Small Modular Reactors (SMR): A real options analysis," Energy, Elsevier, vol. 80(C), pages 41-54.
    5. Dong, Zhe & Pan, Yifei & Zhang, Zuoyi & Dong, Yujie & Huang, Xiaojin, 2017. "Model-free adaptive control law for nuclear superheated-steam supply systems," Energy, Elsevier, vol. 135(C), pages 53-67.
    6. Ma, Quan & Wei, Xinyu & Qing, Junyan & Jiao, Wen & Xu, Risheng, 2019. "Load following of SMR based on a flexible load," Energy, Elsevier, vol. 183(C), pages 733-746.
    7. Dong, Zhe & Liu, Miao & Guo, Zhiwu & Huang, Xiaojin & Zhang, Yajun & Zhang, Zuoyi, 2019. "Adaptive state-observer for monitoring flexible nuclear reactors," Energy, Elsevier, vol. 171(C), pages 893-909.
    8. Gralla, Fabienne & Abson, David J. & Møller, Anders P. & Lang, Daniel J. & von Wehrden, Henrik, 2017. "Energy transitions and national development indicators: A global review of nuclear energy production," Renewable and Sustainable Energy Reviews, Elsevier, vol. 70(C), pages 1251-1265.
    9. Dong, Zhe & Zhang, Zuoyi & Dong, Yujie & Huang, Xiaojin, 2018. "Multi-layer perception based model predictive control for the thermal power of nuclear superheated-steam supply systems," Energy, Elsevier, vol. 151(C), pages 116-125.
    10. Sayyaadi, Hoseyn & Sabzaligol, Tooraj, 2010. "Comprehensive exergetic and economic comparison of PWR and hybrid fossil fuel-PWR power plants," Energy, Elsevier, vol. 35(7), pages 2953-2964.
    11. Dong, Zhe & Pan, Yifei, 2018. "A lumped-parameter dynamical model of a nuclear heating reactor cogeneration plant," Energy, Elsevier, vol. 145(C), pages 638-656.
    12. Locatelli, Giorgio & Boarin, Sara & Fiordaliso, Andrea & Ricotti, Marco E., 2018. "Load following of Small Modular Reactors (SMR) by cogeneration of hydrogen: A techno-economic analysis," Energy, Elsevier, vol. 148(C), pages 494-505.
    13. 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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    Citations

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    Cited by:

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    2. Gerkšič, Samo & Vrančić, Damir & Čalič, Dušan & Žerovnik, Gašper & Trkov, Andrej & Kromar, Marjan & Snoj, Luka, 2023. "A perspective of using nuclear power as a dispatchable power source for covering the daily fluctuations of solar power," Energy, Elsevier, vol. 284(C).
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    4. Hui, Jiuwu & Lee, Yi-Kuen & Yuan, Jingqi, 2023. "ESO-based adaptive event-triggered load following control design for a pressurized water reactor with samarium–promethium dynamics," Energy, Elsevier, vol. 271(C).
    5. Dong, Zhe & Li, Bowen & Huang, Xiaojin & Dong, Yujie & Zhang, Zuoyi, 2022. "Power-pressure coordinated control of modular high temperature gas-cooled reactors," Energy, Elsevier, vol. 252(C).
    6. Hui, Jiuwu, 2024. "Discrete-time integral terminal sliding mode load following controller coupled with disturbance observer for a modular high-temperature gas-cooled reactor," Energy, Elsevier, vol. 292(C).
    7. Hui, Jiuwu & Lee, Yi-Kuen & Yuan, Jingqi, 2023. "Load following control of a PWR with load-dependent parameters and perturbations via fixed-time fractional-order sliding mode and disturbance observer techniques," Renewable and Sustainable Energy Reviews, Elsevier, vol. 184(C).
    8. Hui, Jiuwu & Yuan, Jingqi, 2022. "Neural network-based adaptive fault-tolerant control for load following of a MHTGR with prescribed performance and CRDM faults," Energy, Elsevier, vol. 257(C).
    9. Hui, Jiuwu & Yuan, Jingqi, 2022. "Load following control of a pressurized water reactor via finite-time super-twisting sliding mode and extended state observer techniques," Energy, Elsevier, vol. 241(C).

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