A multivariable reactivity control algorithm is developed to maintain acceptable reactor spatial kinetics response during reactor power cycling. A modal model for describing the space-time kinetics response of a CANDU (Canadian Deuterium Uranium) reactor is devised and ultilized in the control study. A one neutron energy group approximation and other assumptions appropriate to the CANDU reactor studied are used to derive a diffusion equation from the linearized Boltzman equation. The effects of Xe135 and I135 are incorporated in the model. The kinetics variables are expanded in terms of an infinite series of eigenfunctions which are solutions of the scalar Helmholtz equation solved on the volume of the reactor. The control reactivities are modelled as an evenly distributed reactivity for gross reactor load cycling and point reactivity devices for spatial control. The system dynamics equations are written in a bilinear state space form. An algorithm is devised to determine the control vector required to achieve a desired kinetics behaviour about the nominal response. The algorithm is illustrated for a typical load cycle by means of a digital computer program.
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September 1978
Research Papers
A Control Algorithm For Reactor Spatial Control During Nuclear Station Load Cycling
D. B. Cherchas,
D. B. Cherchas
Department of Mechanical Engineering, University of Toronto, Toronto, Canada M551A4
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C. G. Mewdell
C. G. Mewdell
Babcock and Wilcox, Cambridge, Ontario
Search for other works by this author on:
D. B. Cherchas
Department of Mechanical Engineering, University of Toronto, Toronto, Canada M551A4
C. G. Mewdell
Babcock and Wilcox, Cambridge, Ontario
J. Dyn. Sys., Meas., Control. Sep 1978, 100(3): 219-226 (8 pages)
Published Online: September 1, 1978
Article history
Received:
June 10, 1978
Online:
July 13, 2010
Citation
Cherchas, D. B., and Mewdell, C. G. (September 1, 1978). "A Control Algorithm For Reactor Spatial Control During Nuclear Station Load Cycling." ASME. J. Dyn. Sys., Meas., Control. September 1978; 100(3): 219–226. https://doi.org/10.1115/1.3426371
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