In this paper, we consider an electric vehicle (EV) charging schedule together with appliance scheduling in a residence under a day-ahead real-time pricing scheme (DA-RTP). Among demand response (DR) programs, EVs are an important resource for reducing energy cost due to high flexibility in energy scheduling. On the other hand, the required amount of energy to charge an EV has a counter effect on cost reduction. In a scheduling problem, a constraint on state-of-charge (SoC) of an EV when departing could be a factor in increased cost. Thus, instead of the constraint, we introduce a dissatisfaction at SoC when departing in the objective of the scheduling problem. We formulate our scheduling problem for minimizing a consumer's total dissatisfaction as a mixed-integer nonlinear programming (MINLP) problem since we consider shiftable but uninterruptible loads, which need an On/Off decision. We adopt an outer approximation algorithm to efficiently obtain an optimal solution.
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