Day-Ahead Optimal Interval Scheduling for Building Energy System Considering Building Envelope Virtual Energy Storage Uncertainties

Abstract

The heat storage property of building envelopes is usually modeled into virtual energy storage (VES) and regarded as a flexibility resource to support the energy scheduling of building energy systems (BESs). However, the adjustable potential of VES is uncertain, incurred by several ambient random variables with/without specific probability distributions, posing challenges in determining the operational planning schemes of the BES. This article is intended to study a day-ahead optimal scheduling method for a PV-integrated BES (known as PV-BES) with the consideration of VES using interval optimization methods. First, an interval number is used to characterize the uncertainties of outdoor temperature, light irradiance, and the occupant’s behavior reflected by the uncontrollable household load. Second, an interval VES model is developed by modeling VES’s virtual charge–discharge power (VCDP) with an interval number. Finally, a day-ahead optimal interval scheduling model for the PV-BES considering VES is formulated, aiming to minimize the electricity energy purchase cost of the PV-BES from the external grid. Numerical simulation is conduced, and the results validated the effectiveness of the proposed method.