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Load following control of a pressurized water reactor via finite-time super-twisting sliding mode and extended state observer techniques

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  • Hui, Jiuwu
  • Yuan, Jingqi

Abstract

The problem of load following of a pressurized water reactor (PWR) has been extensively investigated in the last decades. However, most of the pre-existing controllers proposed in the literature rely on full system state measurements. This paper proposes a finite-time super-twisting sliding mode controller based on an extended state observer (FTSTSMC-ESO) for the load following of the PWR in the presence of compound disturbances, without assuming full system state measurements. First, a description of the PWR system with two-points kinetics equations is given. Then, an ESO that provides exact estimates of the compound disturbances simultaneously with the unmeasured states (relative density of delayed neutron precursor, average fuel temperature, temperature of the coolant, xenon concentration, and iodine concentration) is designed by employing the measurements of the PWR system. With the use of information from the ESO, a FTSTSMC is proposed to improve the load following performance and deal with the estimation errors of the ESO, while at the same time limiting the axial power difference of the PWR core. Theoretical analysis indicates that the stability of the proposed whole load following control system can be guaranteed by means of Lyapunov stability theory. Finally, simulation results reveal that the proposed FTSTSMC-ESO scheme can achieve satisfactory estimation performance and better load following performance in comparison with a proportional-integral-derivative (PID) controller, an active disturbance rejection controller (ADRC), and an extended state observer-based sliding mode controller (ESO-SMC).

Suggested Citation

  • 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).
  • Handle: RePEc:eee:energy:v:241:y:2022:i:c:s0360544221030851
    DOI: 10.1016/j.energy.2021.122836
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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. 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. 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.
    4. 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.
    5. Zhang, Tao & Ma, Ying & Li, Angfei, 2021. "Scenario analysis and assessment of China’s nuclear power policy based on the Paris Agreement: A dynamic CGE model," Energy, Elsevier, vol. 228(C).
    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. Jaskólski, Marcin & Reński, Andrzej & Minkiewicz, Tomasz, 2017. "Thermodynamic and economic analysis of nuclear power unit operating in partial cogeneration mode to produce electricity and district heat," Energy, Elsevier, vol. 141(C), pages 2470-2483.
    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. Song, Dongran & Yang, Jian & Dong, Mi & Joo, Young Hoon, 2017. "Model predictive control with finite control set for variable-speed wind turbines," Energy, Elsevier, vol. 126(C), pages 564-572.
    13. 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.
    14. Elsisi, Mahmoud & Bazmohammadi, Najmeh & Guerrero, Josep M. & Ebrahim, Mohamed A., 2021. "Energy management of controllable loads in multi-area power systems with wind power penetration based on new supervisor fuzzy nonlinear sliding mode control," Energy, Elsevier, vol. 221(C).
    15. 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).
    16. 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).
    17. Wang, Pengfei & Chen, Zhi & Liao, Longtao & Wan, Jiashuang & Wu, Shifa, 2020. "A multiple-model based internal model control method for power control of small pressurized water reactors," Energy, Elsevier, vol. 210(C).
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