Robust observer based control for axial offset in pressurized-water nuclear reactors based on the multipoint reactor model using Lyapunov approach
-
and
Abstract
In nuclear reactor imbalance of axial power distribution induces xenon oscillations. These fluctuations must be maintained bounded within allowable limits. Otherwise, the nuclear power plant could become unstable. Therefore, bounded these oscillations is considered to be a restriction for the load following operation. Also, in order to design the nuclear reactor control systems, poisons concentrations, especially xenon must be accessible. But, physical measurement of these parameters is impossible. In this paper, for the first time, in order to estimate the axial xenon oscillations and ensures these oscillations are kept bounded within allowable limits during load-following operation, a robust observer based nonlinear control based on multipoint kinetics reactor model for pressurized-water nuclear reactors is presented. The reactor core is simulated based on the multi-point nuclear reactor model (neutronic and thermal-hydraulic). Simulation results are presented to demonstrate the effectiveness of the proposed observer based controller for the load-following operation.
Kurzfassung
Die durch Schwankungen der axialen Leistungsverteilung in Kernreaktoren erzeugten Xenon-Oszillationen müssen in zulässigen Grenzen gehalten werden, da es sonst zu einem Leistungsabfall kommt. Die Begrenzung der Oszillationen muss bei der Lastnachführung berücksichtigt werden. Bei der Auslegung der Regelungssysteme von Kernreaktoren muss insbesondere die Xenonkonzentration zugänglich sein. Die physikalische Bestimmung dieser Parameter ist nicht möglich. In dem vorliegenden Beitrag wird deshalb zur Bestimmung der Xenonoszillationen und ihrer Begrenzung bei der Lastnachführung erstmalig ein Robust-Observer-System auf der Basis des Multipoint-Reaktormodells für DWR vorgestellt. Der Reaktorkern wird mit Hilfe des Multipoint-Reaktormodells sowohl in Bezug auf das Verhalten der Neutronen wie auch in Bezug auf das thermohydraulische Verhalten simuliert. Die Ergebnisse der Simulation zeigen die Effektivität der vorgeschlagenen Regelungssystems bei der Lastnachführung.
References
1 HetrickD.: Dynamic of Nuclear Reactor. The University of Chicago press (1965)Search in Google Scholar
2 DongZ.; HuangX.; ZhangL.: A nodal dynamic model for control system design and simulation for an MHTGR core. Nuclear Engineering and Design240 (2010) 1251–126110.1016/j.nucengdes.2009.12.032Search in Google Scholar
3 AveryR.: Theory of coupled reactors. In: Proceedings of the 2nd U.N. International Conference Peaceful Uses of Atomic Energy, 1958, vol. 12, pp. 182–19110.2172/4315469Search in Google Scholar
4 KomataM.: On the derivation of Avery's coupled reactor kinetics equations. Nuclear Science and Engineering38 (1969) 107–11810.13182/NSE69-A21154Search in Google Scholar
5 LiuC.; PengJ.F.; ZhaoF. Y.; LiC.: Design and optimization of fuzzy-PID controller for the nuclear reactor power control. Nuclear Engineering and Design239 (2009) 2311–231610.1016/j.nucengdes.2009.07.001Search in Google Scholar
6 EdwardsR. M.; LeeK. Y.; ShultzM. A.: An incremental approach to control modernization of existing and future nuclear reactors and power plants. Nuclear Technology92 (1990) 167–18610.13182/NT90-A34468Search in Google Scholar
7 WangP. F.; LiuY.; JiangB. T.; WanJ. S.; ZhaoF. Y.: Nodal dynamics modeling of AP1000 reactor for control system design and simulation. Ann. Nucl. Energy62 (2013) 208–22310.1016/j.anucene.2013.05.036Search in Google Scholar
8 ShimjithS. R.; TiwariA. P.; BandyopadhyayB.: Space time kinetics modeling of advanced heavy water reactor for control studies. Ann. Nucl. Energy37 (2010) 310–32410.1016/j.anucene.2009.12.011Search in Google Scholar
9 RamaswamyP.; EdwardsR. M.; LeeK. Y.: An automatic tuning method of fuzzy logic controller for nuclear reactors. IEEE Transact. Nuclear Science40 (1993) 660–666Search in Google Scholar
10 EliasiH.; MenhajM. B.; DaviluH.: Robust nonlinear model predictive control for nuclear power plants in load following operations with bounded xenon oscillations. Nucl. Eng. Des.241 (2011) 533–54310.1016/j.nucengdes.2010.12.004Search in Google Scholar
11 SipushP. J.; KeerR. A.; GinsbergA. P.; MoritaT.; ScherpereelL. R.: Load-follow demonstrations employing constant axial offset power-distribution control procedures. Nuclear Technology31 (1976) 12–3110.13182/NT76-A31695Search in Google Scholar
12 Russia Federal Agency on Nuclear Energy (RFANE). Final Safety Assessment Report (FSAR) for BNPP. Book 1, Moscow, 2005Search in Google Scholar
13 BahramiM.; EbrahimiB.; AnsarifarG. R.: Sliding Mode Observer and Control Design with Adaptive Parameter Estimation for a Supersonic Flight Vehicle. Hindawi Publishing Corporation, 2010, 9 p.10.1155/2010/474537Search in Google Scholar
14 SlotineJ. J.; SastryS. S.: Tracking control of nonlinear systems using sliding surfaces with application to robot manipulators. Int. J. Control38 (1983) 465–49210.1080/00207178308933088Search in Google Scholar
15 UtkinI.: Variable structure systems with sliding modes. IEEE Transactions on Automatic control22 (1977) 212–22210.1109/TAC.1977.1101446Search in Google Scholar
16 DwyerT. A. W.: Sira-Ramirez, H.: Variable structure Control of Spacecraft Attitude Maneuvers. Journal of Guidance, Control and Dynamics11 (1988) 262–27010.2514/3.20303Search in Google Scholar
© 2017, Carl Hanser Verlag, München
Articles in the same Issue
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Technical Contributions/Fachbeiträge
- Modelling Human Resource Requirements for the Nuclear Industry in Europe
- Some uncertainty results obtained by the statistical version of the KARATE code system related to core design and safety analysis
- The integrity of NSSS and containment during extended station blackout for Kuosheng BWR plant
- Experimental investigation of effect of spacer on two phase turbulent mixing rate in subchannels of pressure tube type BWR
- Thermal-hydraulic analysis of research reactor core with different LEU fuel types using RELAP5
- The application of knowledge management and TRIZ for solving the safe shutdown capability of fire alarms in nuclear power plants
- Dose assessment for emergency workers in early phase of Fukushima Daiichi nuclear power plant accident
- Anti-neutrino flux in a research reactor for non-proliferation application
- Friction coefficient and limiter load test analysis by flexibility coefficient model of Hold-Down Spring of nuclear reactor vessel internals
- Robust observer based control for axial offset in pressurized-water nuclear reactors based on the multipoint reactor model using Lyapunov approach
- Internal and external hazards inside the containment in case of an emergency situation
- Slab albedo for linearly and quadratically anisotropic scattering kernel with modified FN method
Articles in the same Issue
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Technical Contributions/Fachbeiträge
- Modelling Human Resource Requirements for the Nuclear Industry in Europe
- Some uncertainty results obtained by the statistical version of the KARATE code system related to core design and safety analysis
- The integrity of NSSS and containment during extended station blackout for Kuosheng BWR plant
- Experimental investigation of effect of spacer on two phase turbulent mixing rate in subchannels of pressure tube type BWR
- Thermal-hydraulic analysis of research reactor core with different LEU fuel types using RELAP5
- The application of knowledge management and TRIZ for solving the safe shutdown capability of fire alarms in nuclear power plants
- Dose assessment for emergency workers in early phase of Fukushima Daiichi nuclear power plant accident
- Anti-neutrino flux in a research reactor for non-proliferation application
- Friction coefficient and limiter load test analysis by flexibility coefficient model of Hold-Down Spring of nuclear reactor vessel internals
- Robust observer based control for axial offset in pressurized-water nuclear reactors based on the multipoint reactor model using Lyapunov approach
- Internal and external hazards inside the containment in case of an emergency situation
- Slab albedo for linearly and quadratically anisotropic scattering kernel with modified FN method