The entry of digital technologies into all spheres of our lives, including our homes, has led to numerous possibilities for remote control of certain appliances and systems in the smart house. Intelligent management of the smart house, including the power supply of the individual electrical appliances, has also become a necessity. In the present paper, a Generalized Net (GN) model of the connections between the electrical power supply and the electrical appliances including a security system in a smart house is proposed. A special highlight in the article is the security system and the intelligent system that manages the whole process.