This paper presents an optimal sizing for residential household solar photovoltaic (PV) and battery energy storage systems (BESS) connected to the grid. The objective is to maximize solar energy self-consumption and the utilization of battery energy storage and to minimize electricity bills subsequently. An optimal sizing problem is developed, where electricity price, solar irradiation, PV and BESS’s capital costs, their net present value (NPV), and BESS’s efficiency are taken into account. Typical weeks for four different seasons of each year are used to reduce simulation run time on a longer planning horizon (typically 20 years). Six different methods are used to obtain periodic signals for solar generation and load demand, which are L1 norm, L2 norm, average, weighted least square (WLS), WLS + L1 regularization, and bound average. The simulation study is performed using four different actual household demand datasets. It shows that the L1 norm method gives the best results among all these methods. From the simulation results, this study concluded that it is economically beneficial for households to install PV and BESS.