The article provides models to manage the power flow of a solar panel system connected to the grid, with a battery for storing energy. The researchers used data from real solar homes in Australia to improve their forecasting models for solar power and household electricity use. They also considered the time-of-use pricing for electricity to minimize costs. The models show the power flow patterns for weekends and weekdays in the summer, including solar power, battery power, grid power, and household power. The state of charge of the battery is also shown. This information can help engineers understand and improve how power flows in a solar panel system connected to the grid.