An adaptive, multi-rate linear quadratic regulator for a shipboard MVDC distribution system with constant power loads
Mills, Adam J.
Ashton, Robert W.
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Future U.S. Navy warships will have DC electrical distribution systems. These distribution systems will include multiple layers of electronic power converters. When coupled to high-bandwidth controllers, power converters behave as constant power loads to the distribution system. Constant power loads have a negative non-linear impedance characteristic that threatens system stability. Many different single-input control schemes have been applied to DC microgrids with constant power loads. In this work we propose a centralized select-matrix, multi-rate linear quadratic regulator (LQR-SM)- based control scheme to provide a flexible and adaptable controller for high-order, multi-input, and multi-rate distribution systems. The proposed controller is investigated via MATLAB time-domain simulation. LQR-SM controller performance is compared to both block-cyclic multi-rate LQR and state-feedback linearization. LQR-SM controller simulations show vastly reduced computational load and improved robustness compared to block-cyclic LQR and reduced energy-storage element sizing compared to state-feedback linearization. A genetic algorithm design procedure is described for the controller. The design process outlines evaluation function development, choosing the initial generation of candidates, and genetic algorithm process flow. Finally, engineering trade-offs are considered. In this work we investigate engineering trade-offs with respect to computational load, regions of attraction, and energy-storage efficiency when reduced fidelity and non-adaptive controller configurations are considered.
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