Near-Optimal Control of a Bilinear, Solar-Assisted Heat Pump System

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Abstract
A system consisting of a flat-plate solar collector, two heat storage tanks, a heat pump, and all necessary minor components is considered. For each major component a bilinear mathematical model is developed. The system control problem is divided into steady-state and dynamic cases, and the optimal steady-state solution is found. Based on this result a suboptimal dynamic control algorithm is given and is shown to give locally stable and near optimal performance. Results of a simulation study, comparing seasonal performance of the suboptimal system with that of the conventionally-controlled system are given.

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