Optimization of Energy Consumption Control of Water Temperature in the Tank of the Smart Home System

Abstract

The article examines the optimization of energy consumption in the water temperature control system in a smart home tank using modern mathematical methods controlled in the Blynk application. The main attention is paid to the integration of cubic splines and PID controllers into the mathematical model of the system. The problem statement and the manual solution of the differential equation describing the dynamics of water temperature are given. The results obtained confirm that this method allows not only to accurately control the temperature regime, but also to significantly reduce the energy consumption of the system.