With the increasing proportion of new energy, the regulation capacity of the power system is becoming increasingly scarce, and there is an urgent need to develop new regulation resources. Temperature controlled loads account for a considerable proportion of modern power loads. How to adjust the electricity consumption of temperature controlled loads reasonably without affecting the comfort of residents, provide regulation capabilities for the power system, and reduce the electricity cost of temperature controlled loads is a very challenging problem. We aim to address the following issues in this article and provide appropriate optimization solutions. Regarding problem 1, based on the room lumped parameter equivalent thermodynamic model, the transient numerical solution of the room temperature change process considering temperature control constraints was solved. The influence of different outdoor temperatures on indoor temperature rise and fall and wall temperature was analyzed, and the influence of thermal resistance and heat capacity on the steady-state solution change law was quantitatively analyzed; On this basis, an analysis was conducted on the impact of outdoor temperature on the operating characteristics and power consumption of electric heating equipment. The indoor temperature changes at different outdoor temperatures for 24 h and the on/off status of electric heating equipment were solved, and the electricity consumption behavior characteristics of typical residential electric heating loads were statistically analyzed. It was found that the decrease in outdoor temperature prolonged the operating time and increased the duty cycle of electric heating equipment, resulting in an increase in daily electricity consumption, daily average electricity consumption, and electricity cost ratio. The total electricity consumption during the heating period reached 17865.04/kWh, and the total cost during the heating period reached 8088.959 yuan.