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We investigate the ability of a collection of deferrable energy loads to behave as a battery; that is, to absorb and release energy in a controllable fashion up to fixed and predetermined limits on volume, charge rate, and discharge rate. We derive explicit bounds on the battery capacity that can be offered, and show that there is a fundamental tradeoff between the abilities of collective load to absorb and release energy at high aggregate rates. Finally, we introduce a new class of dynamic priority-driven feedback policies that balance these abilities, and characterize the batteries that these policies can emulate.
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Madjidian et al. (2017) studied this question.
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