Storage Scheduling with Stochastic Uncertainties: Feasibility and Cost of Imbalances

Reliable Dispatch of Renewable Generation via Charging of Time-Varying PEV Populations

“…3 In contrast, we consider that the SOC of the v-th PEV at k a v is uncertain and we describe it using a random variable E v (k a v ), with realization e v (k a v ). From (6), it follows that both uncertainties, i.e. P(k) and E v (k a v ), affect the SOC of the "time varying-battery", which is therefore a random variable itself: E(k) with realization e(k).…”

“…P(k) and E v (k a v ), affect the SOC of the "time varying-battery", which is therefore a random variable itself: E(k) with realization e(k). We describe the dynamics of E(k) using a stochastic model similar to the one in [6], where the conversion losses of the "time-varying battery" are approximated to their expected value. However, such a model is extended in the following to include the additional uncertainty E v (k a v ).…”

“…However, such a model is extended in the following to include the additional uncertainty E v (k a v ). 3) Stochastic Model of Stored Energy: Similar to [6], we divide deterministic and stochastic variables as follows…”

“…[5]. In [6], it is shown that chance constrained optimization, based on probabilistic forecasts, might outperform scenario-based schemes.…”

“…In the present paper we aim at dispatchability of a charging station for PEVs, combining chance constraint optimization and device aggregation. Our major contribution is the extension of the scheduling and control scheme described in [6], [10], which cannot be applied as-it-is to systems including more than a single static energy storage. The novel method described in this paper is instead able to cope with a dynamic aggregation of energy storage and direct controllable loads, considering multiple sources of uncertainty (e.g.…”