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Discussions and actions on nuclear energy have penetrated several state capitol buildings, congressional hearings, and industry gatherings across the United States this month, including in Alaska, Connecticut, Louisiana, Massachusetts, Minnesota, and New York.
P. D. Vaswani, P. K. Tamboli, Debraj Chakraborty
Nuclear Technology | Volume 210 | Number 1 | January 2024 | Pages 126-136
Research Article | doi.org/10.1080/00295450.2023.2214662
Articles are hosted by Taylor and Francis Online.
This paper considers an optimized full state feedback (FSF) optimal controller for bulk power control of a 700-MW(electric) pressurized heavy water reactor (PHWR) that minimizes the controller norm to reduce the effect of disturbances. Lyapunov’s linear matrix inequalities (LMIs) have been considered for stability of the model. For the closed loop, these inequalities, which become nonlinear in the unknowns, are converted to LMIs by a suitable variable substitution. The controller’s optimization is achieved by minimizing the upper bound of the state feedback vector’s norm. As a result of this optimization, the controller gain is reduced, which reduces the effect of the disturbance input to the system. We study the stability of the closed loop system and the nonlinear transient performance using the state feedback. We demonstrate that the proposed controller’s transient performance is superior to that of a nonoptimized controller when compared to a conventional proportional-derivative controller. The designed controller has a norm that is about five orders lower than that obtained without optimization while still providing acceptable transient performance.