Control of systems that store renewable energy

This paper studies the control of systems that store renewable energy. The problem is to maximize the long-term utility of the energy by controlling how it is used. The methodology for designing the control policy depends on the size of the battery. If the battery is small, the control policy is determined by solving a Markov decision problem. If the battery is large, this problem is complex, but one can replace it by a simpler problem where the constraint is on the average power usage. When the battery is large, the average power usage should not exceed the average power harvested by the source. When the battery size is moderate, the control is based on the large deviations of the battery charge. This paper illustrates these methods with a number of examples.

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