Abstract
This chapter is devoted to the problem of controlling the neutron flux distribution in a nuclear reactor core in which the spatial kinetic effects are important (Refs. 4.1 and 4.3). The problem consists of computing the control function that transfers the state of the system from an initial condition to a desired state, in a given period of time, and minimizes a quadratic performance index that penalizes the deviations from equilibrium so as to avoid potential spatial instabilities and high-power density spots (Refs. 4.17–4.20).
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Christensen, G.S., Soliman, S.A., Nieva, R. (1990). Optimal Control of Distributed Nuclear Reactors. In: Optimal Control of Distributed Nuclear Reactors. Mathematical Concepts and Methods in Science and Engineering, vol 41. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3602-8_4
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DOI: https://doi.org/10.1007/978-1-4899-3602-8_4
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