Space–time kinetics modeling of Advanced Heavy Water Reactor for control studies

Shimjith, S. R.; Tiwari, A.P.; Naskar, Minati; Bandyopadhyay, B.

doi:10.1016/j.anucene.2009.12.011

Cited by 62 publications

(23 citation statements)

References 29 publications

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“…From the point-kinetic governing equation of PHWRs [7], [2]- [4], it is evident that the reactivity (equivalent control rod worth) to power equation is nonlinear in nature. One approach to analyze the dynamics of such reactors is to use linearized models corresponding to different power levels.…”

Section: Introductionmentioning

confidence: 99%

“…Also, with a set of switched controllers the stability may not be guaranteed if the operating point lies somewhere in between the discrete modes where the design was attempted. Talange et al [3] and Shimjith et al [4] developed spatial models of large PHWRs and linearized the nonlinear point kinetic equations around a specific steady-state operating point to design the controllers. This may result in some undesirable closed loop dynamics with the same controller for some other operating point because the reactor model gets changed to a large extent in cases that have not been considered in the controller design in [2]- [4].…”

Section: Introductionmentioning

confidence: 99%

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Fractional Order Modeling of a PHWR Under Step-Back Condition and Control of Its Global Power With a Robust ${\rm PI}^{\lambda} {\rm D} ^{\mu}$ Controller

Das

Gupta

2011

IEEE Trans. Nucl. Sci.

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Abstract-Bulk reduction of reactor power within a small finite time interval under abnormal conditions is referred to as step-back. In this paper, a 500MWe Canadian Deuterium Uranium (CANDU) type Pressurized Heavy Water Reactor (PHWR) is modeled using few variants of Least Square Estimator (LSE) from practical test data under a control rod drop scenario in order to design a control system to achieve a dead-beat response during a stepped reduction of its global power. A new fractional order (FO) model reduction technique is attempted which increases the parametric robustness of the control loop due to lesser modeling error and ensures iso-damped closed loop response with a PI λ D μ or FOPID controller. Such a controller can, therefore, be used to achieve active step-back under varying load conditions for which the system dynamics change significantly. For closed loop active control of the reduced FO reactor models, the PI λ D μ controller is shown to perform better than the classical integer order PID controllers and present operating Reactor Regulating System (RRS) due to its robustness against shift in system parameters.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fractional Order Modeling of a PHWR Under Step-Back Condition and Control of Its Global Power With a Robust ${\rm PI}^{\lambda} {\rm D} ^{\mu}$ Controller

Das

Gupta

2011

IEEE Trans. Nucl. Sci.

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“…This necessitates regulation of total as well as spatial power over time. The AHWR model developed in [18] and [19] has been used here for the study carried out in this paper. The AHWR core is considered to be divided in 17 relatively large nodes as shown in Fig.…”

Section: Overview Of Ahwrmentioning

confidence: 99%

“…then a state space representation for the system (13) is obtained as (19) where (20) From (14), (18) and (19), the closed loop system becomes (21) Let be the stabilizing output injection gain for (13)-(14) i.e.…”

Section: A Overview Of Periodic Output Feedbackmentioning

confidence: 99%

Periodic Output Feedback for Spatial Control of AHWR: A Three-Time-Scale Approach

Munje¹,

Patre²,

Tiwari

2014

IEEE Trans. Nucl. Sci.

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This paper presents a novel technique of designing Periodic Output Feedback (POF) based controller for three-timescale systems. This design method is investigated for spatial control of Advanced Heavy Water Reactor (AHWR). The numerically ill-conditioned system of AHWR is first decomposed into three subsystems, namely, slow, fast 1 and fast 2 by direct block-diagonalization and then a composite controller is designed which provides an output injection gain. This output injection gain has been used to compute POF gain, which is then applied to the vectorized nonlinear model of AHWR to achieve spatial control. This controller is tested via simulations carried out under different transient conditions and the results of simulation are presented.Index Terms-Advanced heavy water reactor, periodic output feedback, spatial control, three-time-scale system.

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“…The AHWR core is divided in 17 relatively large nodes. The following nonlinear equations constitute the mathematical model of AHWR [18]- [20]:…”

Section: Brief Overview Of Ahwrmentioning

confidence: 99%

Discrete-Time Sliding Mode Spatial Control of Advanced Heavy Water Reactor

Munje¹,

Patre²,

Tiwari

2016

IEEE Trans. Contr. Syst. Technol.

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This brief presents the design of a discrete-time sliding mode control (DSMC) for spatial power stabilization of advanced heavy water reactor (AHWR). Mathematical model of AHWR is represented by 90 first-order nonlinear differential equations with 18 outputs and five inputs. The linear model is obtained by linearizing nonlinear equations over the rated power. This linear model is found to be highly ill conditioned and is possessing three-time-scale property. Initially, the linear model is transformed into block diagonal form to separate slow, fast 1, and fast 2 subsystems and then DSMC is designed using slow subsystem alone since fast 1 and fast 2 subsystems are stable. The proposed DSMC strategy is designed using the constant plus proportional rate reaching law with matched disturbance. Finally, the nonlinear multivariable model of AHWR is simulated with the designed controller and the results are generated under different transients. The efficacy of the proposed DSMC is demonstrated with the comparison of prevalent controllers in the literature and the performance is evaluated under the same transient levels.Index Terms-Advanced heavy water reactor (AHWR), composite control, discrete-time sliding mode control (DSMC), global power control in large reactors, reaching law, spatial control.

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Space–time kinetics modeling of Advanced Heavy Water Reactor for control studies

Cited by 62 publications

References 29 publications

Fractional Order Modeling of a PHWR Under Step-Back Condition and Control of Its Global Power With a Robust ${\rm PI}^{\lambda} {\rm D} ^{\mu}$ Controller

Fractional Order Modeling of a PHWR Under Step-Back Condition and Control of Its Global Power With a Robust ${\rm PI}^{\lambda} {\rm D} ^{\mu}$ Controller

Periodic Output Feedback for Spatial Control of AHWR: A Three-Time-Scale Approach

Discrete-Time Sliding Mode Spatial Control of Advanced Heavy Water Reactor

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