Photovoltaic (PV) is one of the most prime source to generate electricity without causing harm to the environment. V is used to convert the sunlight to electricity that is required in many applications. For example, to run household appliance in case of power failure, or in peak condition to reduce loads on the grid. In this paper, off- grid PV system is modeled and designed to meet some of household appliances for a home located in Zagazig city. This system can be applied for large systems, as it is designed to supply linear and non-linear loads. The applied system is used load estimation calculations to find out the system sizing (PV array, and inverter), and with the help of Matlab-Simulink the behavior of solar PV array, Perturb and Observe (P&O) max power point algorithm, boost converter, battery, and full bridge inverter with PLL control method and linear transformer can be studied easily under different condition.