Abstract
Conference Title: 2016 IEEE Power and Energy Society General Meeting (PESGM) Conference Start Date: 2016, July 17 Conference End Date: 2016, July 21 Conference Location: Boston, MA, USA In this article, a general Benders Decomposition is applied to solve a stochastic mixed integer programming formulation (SMIP) to obtain the optimal sizing of a photovoltaic system (PV) and battery energy storage system (BESS) to power a Residential Heating Ventilation and Air- Conditioning System (HVAC). The uncertainty of PV-output is stochastically modeled using different scenarios with the probability of their occurring. The total cost of the HVAC energy consumption and installing PVs and BESS is to be minimized cosidering the system is grid-connected and electricity price is varying. A simplified model of a space cooling is used while considering the thermal energy constraints. The optimization problem extends to find the optimal HVAC on/off states, and BESS charging- discharging states for a multi-horizon period.