The increase in electrical energy consumption in the building sector, along with frequent power outages, has made the need for distributed generation systems and renewable energy sources more evident than ever. One of the most suitable solutions to reduce dependence on the power grid and increase the reliability of energy supply in residential buildings is the use of solar photovoltaic systems with battery storage. This study presents a simulation framework for energy management in a residential building equipped with a solar system and a battery. In this model, the interactions among the building's electrical load, solar energy generation, battery energy storage, and energy exchange with the power grid are examined. To evaluate the system's economic performance, indicators such as net present value (NPV), internal rate of return (IRR), levelized cost of energy (LCOE), and payback period are calculated. A case study was conducted for a 5 kW solar system with a 10 kWh battery. The results show that the system's initial investment is about 4 billion Rials and generates an annual income of about 570 million Rials. Also, the payback period is about 7 years, and the internal rate of return is about 13%. The results show that although the use of batteries increases the payback period compared to the system without batteries, it significantly improves the reliability of energy supply and the building's energy independence.