Modeling of nuclear reactor core for power control simulation with temperature feedback and xenon concentration effect
Abstract
Modeling nuclear reactor cores stands as an essential initial step in nuclear technology research and development. The reactor core, serving as the primary thermal energy source in nuclear power plants (NPPs), plays a pivotal role. Such reactor core modeling serves various objectives, including core power control and load-following operations within NPPs. In this study, the pressurized water reactor (PWR) core was modeled using the point reactor method, a technique widely applied in conjunction with multiple reactor core power control strategies during load-following operations. Employing a proportional-integral-derivative (PID) controller, load-following scenarios tailored to grid load maneuvers were implemented in the developed reactor core model. The study also delved into the effects of temperature feedback and xenon. The analysis of simulation results revealed only a very small deviation in power between the desired and actual reactor core power. A substantial movement of the control rods effectively countered the notable impact of xenon on reactor power. Regarding temperature feedback, its contribution to the core total réactivity with a negative reactivity was confirmed. This study utilized the Python language for both the development of the nuclear reactor model and the creation of algorithms required for power control during load-following mode. Typically, similar endeavors with distinct objectives are conducted using MATLAB SIMULINK.
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2. Li G, Wang X, Liang B, Li X, Zhang B, Zou Y. Modeling and control of nuclear reactor cores for electricity generation: A review of advanced technologies. Renewable and Sustainable Energy Reviews. 2016;60:116-128.
3. Dong Z, Cheng Z, Zhu Y, Huang X, Dong Y, Zhang Z. Review on the Recent Progress in Nuclear Plant Dynamical Modeling and Control. Energies 2023; 16: 1443.
4. Idrees A, Awais Z, Nadeem S, Rizwan A, Abdus S, Shakeel A. Generating function method for the solution of point reactor kinetic equations. Progress in Nuclear Energy.2020; 123 :103-286.
5. Silva MWD, Vilhena MT, Bodmann BEJ, Vasques R. The solution of the neutron point kinetics equation with stochastic extension: an analysis of two moments. International Nuclear Atlantic Conference – INAC. 2015.
6. Abdulraheem KK, Korolev SA, Laidani Z. A differentiator based second-order sliding-mode control of a pressurized water nuclear research reactor considering xenon concentration feedback. Annals of Nuclear Energy . 2021; 156: 108-193
7. El-Genk MS, Tournier JMP. A point kinetics model for dynamic simulations of next generation nuclear reactor. Progress in Nuclear Energy . 2016; 92: 91-103
8. Ismail M, Abulaban D, Genco F, Alkhedher M. Solution of the Reactor Point Neutron Kinetic Equations with Temperature Feedback Control Using MATLAB-Simulink Toolbox. 10th International Conference on Thermal Engineering: Theory and Applications February 26-28, 2017, Muscat, Oman. 2017.
9. Wright SA. Travis Sanchez. Dynamic Modeling and Control of Nuclear Reactors Coupled to Closed-Loop Brayton Cycle Systems using SIMULINK. Space Technology and Applications International Forum-STAIF. 2005
10. Mahendra Kumar JL, Abdul Majeed AP, Zakaria MA, Mohd Razman MA, Khairuddin MI. The Power Level Control of a Pressurised Water Reactor Nuclear Power Plant. InIntelligent Manufacturing and Mechatronics: Proceedings of the 2nd Symposium on Intelligent Manufacturing and Mechatronics–SympoSIMM 2019, 8 July 2019, Melaka, Malaysia 2020 (pp. 451-455). Springer Singapore.
11. Edwards RM, Lee KY, Ray A. Robust optimal control of nuclear reactors and power plants. Nuclear Technology. 1992; 98:137-148.
12. Adel BA, Edwards RM, Lee KY. LQG/LTR Robust Control of Nuclear Reactors with Improved Temperature Performance. IEEE Transactions on Nuclear Science. December 1992, 39.
13. Dong Z. Nonlinear Adaptive Dynamic Output-Feedback Power-Level Control of Nuclear Heating Reactors. Science and Technology of Nuclear Installations. 2013
14. Aab-Alibeik H, Setayeshi S. Improved Temperature Control of a PWR Nuclear Reactor Using an LQG/LTR Based Controller. IEEE Transactions on Nuclear Science. 2003; 50:211-218.
15. Ben-Abdennour A., Edwards R.M., Lee K.Y. LQG/LTR robust control of nuclear reactors with improved temperature performance. IEEE Trans. Nucl. Sci. 1992;39: 2286-2294
16. Ansarifar GR, Rafiei M. Second-order sliding-mode control for a pressurized water nuclear reactor considering the xenon concentration feedback. Nucl Eng Techno . 2015; l47: 94-101
17. Ansarifar GR, Rafiei M. Higher order sliding mode controller design for a research nuclear reactor considering the effect of xenon concentration during load following operation. Annals of Nuclear Energy. 2015; 75: 728–735
18. Mehrdad N. Khajavia, Mohammad B. Menhaj AA, Suratgar A. neural network controller for load following operation of nuclear reactors. Annals of Nuclear Energy. 2002; 29: 751–760
19. Park MG, Cho NZ. Time-Optimal Control of Nuclear Reactor Power with Adaptive Proportional- Integral -Feed forward Gains. IEEE Transactions on Nuclear Science. 1993; 40:266-270.
20. Eliasi H, Menhaj MB, Davilu H. Robust nonlinear model predictive control for a PWR nuclear power plant. Progress in Nuclear Energy. 2012; 54: 177-185
21. Mousakazemi SMH, Ayoobian N, Ansarifar GR. Control of the reactor core power in PWR using optimized PID controller with the real-coded GA. Annals of Nuclear Energy. 2018; 118: 107–121
22. Liu C, Peng JF, Zhao FY, Li C. Design and optimization of fuzzy-PID controller for the nuclear reactor power control. Nuclear Engineering and Design . 2009; 239: 2311–2316
23. Mousakazemi SMH, Ayoobian N, Ansarifar GR. Control of the pressurized water nuclear reactors power using optimized proportionaleintegralederivative controller with particle swarm optimization algorithm. Nuclear Engineering and Technology. 2018; 1- 9
24. Rahgoshaya M, Noori-Kalkhoranb O. Calculation of control rod worth and temperature reactivity coefficient of fuel and coolant with burn-up changes for VVRS-2 MWth nuclear reactor. Nuclear Engineering and Design. 2013; 256 : 322– 331
25. Eissa M, Naguib M, Badawi A. PWR control rods position monitoring. Annals of Nuclear Energy . 2015; 81:106–116.
26. Boustani E, Khoshahval F. Control rods reactivity worth calculation using deterministic and Monte Carlo approaches for an MTR type research reactor. Iranian Journal of Physics Research. 2021; 21.
27. Hafez N, Shahbunder H, Amin E, Elfiki SA, Abdel-Latif A. Study on criticality and reactivity coefficients of VVER-1200 reactor. Progress in Nuclear Energy. 2021; 131: 103594
28. Louis HK. Neutronic Analysis of the VVER-1200 under Normal Operating Conditions. Journal of Nuclear and Particle Physics 2021; 11(3): 53-66
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