Nuclear Engineering and Technology

Korean Nuclear Society (한국원자력학회)
권호 표지
DOI QR코드

DOI QR Code

Robust power control design for a small pressurized water reactor using an H infinity mixed sensitivity method

  • Yan, Xu (School of Nuclear Science and Technology, Xi'an Jiaotong University) ;
  • Wang, Pengfei (School of Nuclear Science and Technology, Xi'an Jiaotong University) ;
  • Qing, Junyan (School of Nuclear Science and Technology, Xi'an Jiaotong University) ;
  • Wu, Shifa (School of Nuclear Science and Technology, Xi'an Jiaotong University) ;
  • Zhao, Fuyu (School of Nuclear Science and Technology, Xi'an Jiaotong University)
  • Received : 2019.01.09
  • Accepted : 2019.12.31
  • Published : 2020.07.25
Download PDF
⟨ Previous Next ⟩

Abstract

The objective of this study is to design a robust power control system for a small pressurized water reactor (PWR) to achieve stable power operations under conditions of external disturbances and internal model uncertainties. For this purpose, the multiple-input multiple-output transfer function models of the reactor core at five power levels are derived from point reactor kinetics equations and the Mann's thermodynamic model. Using the transfer function models, five local reactor power controllers are designed using an H infinity (H∞) mixed sensitivity method to minimize the core power disturbance under various uncertainties at the five power levels, respectively. Then a multimodel approach with triangular membership functions is employed to integrate the five local controllers into a multimodel robust control system that is applicable for the entire power range. The performance of the robust power system is assessed against 10% of full power (FP) step load increase transients with coolant inlet temperature disturbances at different power levels and large-scope, rapid ramp load change transient. The simulation results show that the robust control system could maintain satisfactory control performance and good robustness of the reactor under external disturbances and internal model uncertainties, demonstrating the effective of the robust power control design.

Keywords

References

  1. J. Yang, J.L. Sun, W.G. Yang, R. Shu, ACPR100 concept design of multipurpose compact Reactor, Atomic Energy Sci. Technol. 48 (2014) 1844-1849.
  2. W.M. Stacey, Nuclear Reactor Physics, John Wiley & Sons, 2007, pp. 162-167.
  3. L. Liu, X.C. Luan, S. Rao, G.Y. Jin, Y.U. Tao, Application of fuzzy robust control method in power control of nuclear reactors, Atomic Energy Sci. Technol. 47 (2013) 624-629. https://doi.org/10.7538/yzk.2013.47.04.0624
  4. W.Y. Wu, Design and Simulation of Reactor Power Controller Based on QFT Theory, North China Electric Power University, Beijing (China), 2013 (In Chinese).
  5. G. Li, F.Y. Zhao, Flexibility control and simulation with multi-model and LQG/LTR design for PWR core load following operation, Ann. Nucl. Energy 56 (2013) 179-188. https://doi.org/10.1016/j.anucene.2013.01.035
  6. G. Li, Modeling and LQG/LTR control for power and axial power difference of load-follow PWR core, Ann. Nucl. Energy 68 (2014) 193-203. https://doi.org/10.1016/j.anucene.2014.01.022
  7. G.R. Ansarifar, H.R. Akhavan, Robust nonlinear control for nuclear reactors using sliding mode observer to estimate the xenon concentration, Nucl. Sci. Technol. 27 (2016) 28. https://doi.org/10.1007/s41365-016-0050-5
  8. L.T. Liao, P.F. Wang, Study of multi-model internal model robust control for a small pressurized water reactor core, Autom. Instrum. 33 (2018) 76-94.
  9. M. Zaidabadi nejad, G.R. Ansarifar, Robust feedback-linearization control for axial power distribution in pressurized water reactors during load-following operation, Nucl. Engineering. Technol. 50 (2018) 97-106. https://doi.org/10.1016/j.net.2017.10.013
  10. S.M.H. Mousakazemi, N. Ayoobian, Robust tuned PID controller with PSO based on two-point kinetic model and adaptive disturbance rejection for a PWR-Type reactor, Prog. Nucl. Energy 111 (2019) 183-194. https://doi.org/10.1016/j.pnucene.2018.11.003
  11. P.F. Fan, Y.H. Fan, Y.F. Yu, Hybrid sensitivity control for air-launched cruise missile hinfinity, Comput. Mod. 7 (2013) 105-108.
  12. K. Suzuki, J. Shimazaki, Y. Shinohara, Application of H control theory to power control of a nonlinear reactor model, Nucl. Sci. Eng. 115 (1993) 241-251.
  13. S. Chi, N.Z. Cho, $H_{\infty}$ control theory applied to xenon control for load-following operation of a nuclear reactor, Nucl. Technol. 137 (2002) 127-138. https://doi.org/10.13182/NT00-31
  14. J. Sun, G. Xia, F. Sun, Application of H infinity control method in power control of nuclear reactors, Appl. Technol. 32 (2005) 46-48 (In Chinese).
  15. B.E. Sedhom, A.Y. Hatata, M.M. El-Saadawi, H.E. Abd-Raboh, Robust adaptive H-infinity based controller for islanded microgrid supplying non-linear and unbalanced loads, IET Smart Grid 2 (2019) 420-435. https://doi.org/10.1049/iet-stg.2019.0024
  16. R. Gerasimos, S. Pierluigi, A. Sul, Nonlinear H-infinity control for switched reluctance machines, Nonlinear Eng. 9 (2020) 14-27. https://doi.org/10.1515/nleng-2017-0114
  17. S.V. Madhavi, G.T.R. Das, A robust H-infinity controller for an isolated boost converter used in fuel cell application, J. Electric. Syst. 15-2 (2019) 197-212.
  18. B. Zhou, S. Xie, J. Hui, H-infinity control for T-S aero-engine wireless networked system with scheduling, IEEE Access 7 (2019) 115662-115672. https://doi.org/10.1109/ACCESS.2019.2935015
  19. M.Z.M. Tumari, A.S.R.A. Subki, M.S.M. Aras, M.A. Kasno, M.A. Ahmad, M.H. Suid, H-infinity controller with graphical LMI region profile for liquid slosh suppression, Telkomnika 17 (5) (2019) 2636-2642. https://doi.org/10.12928/telkomnika.v17i5.11252
  20. T.W. Kerlin, E.M. Katz, J.G. Thakkar, Theoretical and experimental dynamic analysis of the HB Robinson nuclear plant, Nucl. Technol. 30 (1976) 299-316. https://doi.org/10.13182/NT76-A31645
  21. J.S. Wan, P.F. Wang, S.F. Wu, F.Y. Zhao, Controller design and optimization of reactor power control system for ASPWR, Prog. Nucl. Energy 100 (2017) 233-244. https://doi.org/10.1016/j.pnucene.2017.06.006
  22. D. Lee, K.S. Kim, S. Kim, Controller Design of an electric power steering system, IEEE Trans. Control Syst. Technol. 26 (2018) 748-755. https://doi.org/10.1109/TCST.2017.2679062
  23. C.T. Faria, G. Pulvirenti, T. Geluk, Modeling and nonlinear parameter identification of an electric-power steering system, in: Proceedings of the Society for Experimental Mechanics Series Conference, Springer, Cham, 2017.
  24. W.Z. Zhao, Y.J. Li, C.Y. Wang, Z.Q. Zhang, C.L. Xu, Research on control strategy for differential steering system based on $H_{\infty}$ hybrid sensitivity, Int. J. Automot. Technol. 14 (2013) 913-919. https://doi.org/10.1007/s12239-013-0100-5
  25. J.C. Doyle, K. Glover, P.P. Khargonekar, B.A. Francis, State-space solution to standard $H_2$ and $H_{\infty}$ control problems, IEEE Trans. Autom. Control (1989) 831-847.
  26. P. Wang, H.C. Liao, Z.X. Deng, Study on the mixed sensitivity control of H infinity damping in the alert constraint layer, J. Vib. Shock 35 (2016) 168-173 (In Chinese).
  27. R.C. Dorf, R.H. Bishop, Modern Control Systems, Publishing House of Electronics Industry, Beijing (China), 2005.

Cited by

  1. Robust controller design for small pressurized water reactors using non-smooth optimization vol.165, 2020, https://doi.org/10.1016/j.anucene.2021.108775
  2. Optimization of control rod travel for a small pressurized water reactor vol.143, 2020, https://doi.org/10.1016/j.pnucene.2021.104050
  3. Load following control of a pressurized water reactor via finite-time super-twisting sliding mode and extended state observer techniques vol.241, 2020, https://doi.org/10.1016/j.energy.2021.122836
  4. Online learning based neural network adaptive controller for efficient power tracking of PWR type reactor with unknown internal dynamics vol.168, 2022, https://doi.org/10.1016/j.anucene.2021.108866