Design of NDI-SMC based robust hybrid nonlinear controller for load following operation in pressurized water reactor

•NDI plus SMC based robust controller is designed for PWR core.•Xenon oscillation is considered.•Robustness of NDI plus SMC controller over single NDI controller has been proved and demonstrated for PWR core.•Varying range of parametric uncertainty and external disturbances has been considered. The...

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Published in:	Nuclear engineering and design Vol. 363; p. 110604
Main Authors:	Yadav, Deepak Kumar, Gupta, Amitava, Munshi, Prabhat
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.07.2020 Elsevier BV
Subjects:	Algorithms Automatic control Complex systems Computer simulation Control rods Control systems design Controllers Disturbances Dynamic inversion Dynamical systems Hybrid robust nonlinear controller NDI Nonlinear control Nonlinear dynamics Nuclear energy Nuclear fuels Oscillations Parametric uncertainty/disturbances Pressurized water reactor Pressurized water reactors Reactors Robust control Sliding mode control SMC State feedback State feedback control Tracking control Uncertainty Xenon Xenon oscillation State feedback control NDI SMC Hybrid robust nonlinear controller Xenon oscillation Parametric uncertainty/disturbances Pressurized water reactor
ISSN:	0029-5493, 1872-759X
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Abstract	•NDI plus SMC based robust controller is designed for PWR core.•Xenon oscillation is considered.•Robustness of NDI plus SMC controller over single NDI controller has been proved and demonstrated for PWR core.•Varying range of parametric uncertainty and external disturbances has been considered. The pressurized water reactor (PWR) is a natural choice for the load following operation due to its inherent self-regulating nature. The nonlinear mathematical model of PWR is derived considering the large parametric uncertainties due to power variation, Xenon oscillations and external disturbances in the reactor core. This paper proposes a robust and tracking hybrid nonlinear state feedback tracking controller which combines nonlinear dynamic inversion (NDI) and the sliding mode control (SMC) algorithm to achieve a smooth load following operation for such complex system. The proposed nonlinear controller is able to ensure satisfactory performances e.g. smooth tracking of reference power and nullify the xenon oscillations in PWR core. This designed controller is also capable to satisfy the limits of the variables like (a) zonal coolant temperature, (b) average fuel temperature and (c) external control rod reactivity for such system in PWR core during the operation. The performance of the proposed nonlinear controller is further compared with the single NDI based controller to show the effectiveness of the proposed methodology against the varying parametric uncertainties and external disturbances. This paper demonstrates the simulation results using Matlab/Simulink platform.
AbstractList	•NDI plus SMC based robust controller is designed for PWR core.•Xenon oscillation is considered.•Robustness of NDI plus SMC controller over single NDI controller has been proved and demonstrated for PWR core.•Varying range of parametric uncertainty and external disturbances has been considered. The pressurized water reactor (PWR) is a natural choice for the load following operation due to its inherent self-regulating nature. The nonlinear mathematical model of PWR is derived considering the large parametric uncertainties due to power variation, Xenon oscillations and external disturbances in the reactor core. This paper proposes a robust and tracking hybrid nonlinear state feedback tracking controller which combines nonlinear dynamic inversion (NDI) and the sliding mode control (SMC) algorithm to achieve a smooth load following operation for such complex system. The proposed nonlinear controller is able to ensure satisfactory performances e.g. smooth tracking of reference power and nullify the xenon oscillations in PWR core. This designed controller is also capable to satisfy the limits of the variables like (a) zonal coolant temperature, (b) average fuel temperature and (c) external control rod reactivity for such system in PWR core during the operation. The performance of the proposed nonlinear controller is further compared with the single NDI based controller to show the effectiveness of the proposed methodology against the varying parametric uncertainties and external disturbances. This paper demonstrates the simulation results using Matlab/Simulink platform. The pressurized water reactor (PWR) is a natural choice for the load following operation due to its inherent self-regulating nature. The nonlinear mathematical model of PWR is derived considering the large parametric uncertainties due to power variation, Xenon oscillations and external disturbances in the reactor core. This paper proposes a robust and tracking hybrid nonlinear state feedback tracking controller which combines nonlinear dynamic inversion (NDI) and the sliding mode control (SMC) algorithm to achieve a smooth load following operation for such complex system. The proposed nonlinear controller is able to ensure satisfactory performances e.g. smooth tracking of reference power and nullify the xenon oscillations in PWR core. This designed controller is also capable to satisfy the limits of the variables like (a) zonal coolant temperature, (b) average fuel temperature and (c) external control rod reactivity for such system in PWR core during the operation. The performance of the proposed nonlinear controller is further compared with the single NDI based controller to show the effectiveness of the proposed methodology against the varying parametric uncertainties and external disturbances. This paper demonstrates the simulation results using Matlab/Simulink platform.
ArticleNumber	110604
Author	Munshi, Prabhat Yadav, Deepak Kumar Gupta, Amitava
Author_xml	– sequence: 1 givenname: Deepak Kumar surname: Yadav fullname: Yadav, Deepak Kumar email: deepakky@iitk.ac.in organization: Nuclear Engineering and Technology Programme, Department of Mechanical Engineering, Indian Institute of Technology, Kanpur 208016, India – sequence: 2 givenname: Amitava surname: Gupta fullname: Gupta, Amitava email: amitava.gupta@jadavpuruniversity.in organization: Department of Power Engineering, Jadavpur University, Kolkata 700098, India – sequence: 3 givenname: Prabhat surname: Munshi fullname: Munshi, Prabhat email: pmunshi@iitk.ac.in organization: Nuclear Engineering and Technology Programme, Department of Mechanical Engineering, Indian Institute of Technology, Kanpur 208016, India
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Keywords	State feedback control NDI SMC Hybrid robust nonlinear controller Xenon oscillation Parametric uncertainty/disturbances Pressurized water reactor
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Snippet	•NDI plus SMC based robust controller is designed for PWR core.•Xenon oscillation is considered.•Robustness of NDI plus SMC controller over single NDI... The pressurized water reactor (PWR) is a natural choice for the load following operation due to its inherent self-regulating nature. The nonlinear mathematical...
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SubjectTerms	Algorithms Automatic control Complex systems Computer simulation Control rods Control systems design Controllers Disturbances Dynamic inversion Dynamical systems Hybrid robust nonlinear controller NDI Nonlinear control Nonlinear dynamics Nuclear energy Nuclear fuels Oscillations Parametric uncertainty/disturbances Pressurized water reactor Pressurized water reactors Reactors Robust control Sliding mode control SMC State feedback State feedback control Tracking control Uncertainty Xenon Xenon oscillation
Title	Design of NDI-SMC based robust hybrid nonlinear controller for load following operation in pressurized water reactor
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