Journal Article10.1109/TNS.1971.4325900
A Nonlinear Dynamic Optimization Technique for Controlling Xenon Induced Oscillations in Large Nuclear Reactors
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TL;DR: In this paper, the problem of controlling the spatial power distribution in a nuclear core under changing load conditions is formulated as a nonlinear optimization problem and linear programming is used in an iterative scheme to determine the optimum control rod strategy.
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Abstract: The problem of controlling the spatial power distribution in a reactor core under changing load conditions is formulated as a nonlinear optimization problem. The one-dimensional distributed core model is approximated by using finite differences to obtain a set of nonlinear ordinary differential equations. Linear programming is then used in an iterative scheme to determine the optimum control rod strategy.
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Citations
Control of nuclear power plants
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TL;DR: In this article, the authors discuss applications, problems, trends, and their perspectives for improving the control of nuclear power plants and discuss areas where researchers developing control methods can contribute toward improved control design.
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Distributed optimal control in a nuclear reactor
TL;DR: The linear deterministic mathematical model of a nuclear reactor system, which can be described by parabolic partial differential equations, and the problems associated with this model arc discussed in this article.
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Direct Numerical Technique of Mathematical Programming for Optimal Control of Xenon Oscillation in Load Following Operation
Myung-Hyun Yoon,Hee Cheon No +1 more
TL;DR: In this article, a simple core control code is developed for the control of a nuclear reactor in the load following operation, which is described by the one-group diffusion equation with moderat...
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Optimal Control of a Large Core Reactor in Presence of Xenon
TL;DR: A method, based on optimal control theory, is presented in this paper to minimize the undesirable Xenon oscillations and reduces the amount of computational work needed, thus making it suitable for a minicomputer control application.
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Extension of Load Follow Capability of a PWR Reactor by Optimal Control
Michael Winokur,L. Tepper +1 more
TL;DR: In this article, the problem of extending that part of the fuel life cycle during which a reactor is capable of sustaining load-follow operation is formulated as an optimal control problem and a two-node model representation of pressurized water reactor dynamics is used, leading to a set of nonlinear ordinary differential equations.
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References
Control of xenon spatial oscillations.
TL;DR: In this article, the problem of optimally controlling xenon spatial oscillations is formulated as a problem in the calculus of variations for distributed parameter systems, and the resulting partial differential equati
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Optimal control trajectories with minimax objective functions by linear programming
G. Lack,Mark K. Enns +1 more
TL;DR: In this article, a linear programming code is used to compute optimal trajectories for a linear discrete-time system with respect to a minimax criterion on either state or control trajectories.
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