Optimal control of nonlinear nuclear reactors
This paper presents a new formulation of a class of nonlinear optimal control problems as a solution for a system of differential equations with initial conditions. An application to the control of a nonlinear nuclear reactor is shown. Pontryagin's theorem has been successfully applied to the problem of designing control systems that are optimum in the sense that they minimize a given cost function. Rosztoczy et al. showed how the maximum principle can be used to optimize control-rod movement during transients in a nonlinear nuclear reactor by using a point kinetics reactor model with temperature feedback proportional to the flux. The problem was formulated in a way that demanded the solution of four coupled first-order nonlinear differential equations with initial conditions for the flux and final conditions for the adjoint. This particular set of boundary conditions required an iterative numerical solution of the equations that did not apply easily to real-time applications. This paper presents a new formulation of the problem that allows on-line solution for the control by transforming it to an initial value problem.
- Research Organization:
- Oak Ridge National Lab., TN (USA)
- OSTI ID:
- 6946236
- Report Number(s):
- CONF-8711195-
- Journal Information:
- Trans. Am. Nucl. Soc.; (United States), Journal Name: Trans. Am. Nucl. Soc.; (United States) Vol. 55; ISSN TANSA
- Country of Publication:
- United States
- Language:
- English
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