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http://dx.doi.org/10.1016/j.net.2020.07.026

Closed-loop controller design, stability analysis and hardware implementation for fractional neutron point kinetics model  

Vyawahare, Vishwesh A. (Department of Electronics Engineering, Ramrao Adik Institute of Technology)
Datkhile, G. (Department of Electronics Engineering, Ramrao Adik Institute of Technology)
Kadam, P. (Department of Electronics Engineering, Ramrao Adik Institute of Technology)
Espinosa-Paredes, G. (Energy Resources Engineering Area, Universidad Autonoma Metropolitana-Iztapalapa)
Publication Information
Nuclear Engineering and Technology / v.53, no.2, 2021 , pp. 688-694 More about this Journal
Abstract
The aim of this work is the analysis, design and hardware implementation of the fractional-order point kinetics (FNPK) model along with its closed-loop controller. The stability and closed-loop control of FNPK models are critical issues. The closed-loop stability of the controller-plant structure is established. Further, the designed PI/PD controllers are implemented in real-time on a DSP processor. The simulation and real-time hardware studies confirm that the designed PI/PD controllers result in a damped stable closed-loop response.
Keywords
Sub-diffusive transport; FNPK Models; PI/PD controller; Stability analysis; Bode plot; Real-time hardware implementation;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 G. Espinosa-Paredes, Fractional-space neutron point kinetics (F-SNPK) equations for nuclear reactor dynamics, Ann. Nucl. Energy 107 (2017) 136-143.   DOI
2 R. Mansouri, M. Bettayeb, S. Djennoune, Approximating of high order integer systems by fractional order reduced parameter models, Math. Comput. Model. 51 (2010) 53-62.   DOI
3 F.R. de Hoog, J.H. Knight, A.N. Stokes, An improved method for numerical inversion of Laplace transforms, SIAM J. Sci. Stat. Comput. 3 (1982) 357-366.   DOI
4 C. Zhao, D. Xue, Y. Chen, A fractional order PID tuning algorithm for a class of fractional order plants, in: IEEE International Conference on Mechatronics and Automation, Ontario, Canada, July 29 - August 01, 2005.
5 H. Ying, Theory and application of a novel fuzzy PID controller using a simplified Takagi-Sugeno rule scheme, Inf. Sci. 123 (2000) 281-293.   DOI
6 F. Padula, A. Visioli, Tuning rules for optimal PID and fractional-order PID controllers, J. Process Contr. 21 (2011) 69-81.   DOI
7 S.S. Bhase, B.M. Patre, Robust FOPI controller design for power control of PHWR under step-back condition, Nucl. Eng. Des. 274 (2014) 20-29.   DOI
8 M.R. Bongulwar, B.M. Patre, Design of PIlDm controller for global power control of pressurized heavy water reactor, ISA Trans. 69 (2017) 234-241.   DOI
9 R. Lamba, S.K. Singla, S. Sondhi, Fractional order PID controller for power control in perturbed pressurized heavy water reactor, Nucl. Eng. Des. 323 (2017) 84-94.   DOI
10 A.A. Kilbas, H.M. Srivastava, J.J. Trujillo, Theory and Applications of Fractional Differential Equations, first ed., Elsevier, Amsterdam, 2006.
11 H. Sheng, Y. Chen, T. Qiu, Fractional Processes and Fractional-Order Signal Processing: Techniques and Applications, first ed., Springer-Verlag, London, 2012.
12 V.A. Vyawahare, P.S.V. Nataraj, Fractional-order modeling of neutron transport in a nuclear reactor, Appl. Math. Model. 37 (2013) 9747-9767.   DOI
13 C.A. Monje, Y. Chen, B.M. Vinagre, D. Xue, V. Feliu-Batlle, Fractional-order Systems and Controls: Fundamentals and Applications, first ed., Springer-Verlag, London, 2010.
14 N.Z. Davijani, G. Jahanfarnia, A.E. Abharian, Nonlinear fractional sliding mode controller based on reduced order FNPK model for output power control of nuclear research reactors, IEEE Trans. Nucl. Sci. 64 (2017) 713-723.   DOI
15 B.R. Upadhyaya, M.R. Lish, J.W. Hines, R.A. Tarver, Instrumentation and control strategies for an integral pressurized water reactor, Nucl. Eng. and Tech. 47 (2015) 148-156.   DOI
16 K.D. Badgujar, System science and control techniques for harnessing nuclear energy, Sys. Sc. & Control Eng. 4 (2016) 138-164.   DOI
17 S.M.H. Mousakazemi, N. Ayoobian, G.R. Ansarifar, Control of the pressurized water nuclear reactors power using optimized proportional-integral-derivative controller with particle swarm optimization algorithm, Nucl. Eng. and Tech. 50 (2018) 877-885.   DOI
18 G. Li, X. Wang, B. Liang, X. Li, R. Liang, Review on application of control algorithms to power regulations of reactor cores, in: 3rd Annual International Conference on Information Technology and Applications, Hangzhou, China, July 29-31, 2016.
19 G. Espinosa-Paredes, M.A. Polo-Labarrios, E.G. Espinosa-Martinez, E. del Valle-Gallegos, Fractional neutron point kinetics equations for nuclear reactor dynamics, Ann. Nucl. Energy 38 (2011) 307-330.   DOI
20 V.A. Vyawahare, G. Espinosa-Paredes, BWR stability analysis with sub-diffusive and feedback effects, Ann. Nucl. Energy 110 (2017) 349-361.   DOI
21 G. Chen, H. Ying, BIBO stability of nonlinear fuzzy PI control systems, J. Intell. Fuzzy Syst. 5 (1997) 245-256.   DOI
22 G.D. Reddy, Y. Park, B. Bandyopadhyay, A.P. Tiwari, Discrete-time output feedback sliding mode control for spatial control of a large PHWR, Auto In. 45 (2009) 2159-2163.   DOI