At the present stage, temperature-controlled loads occupy a considerable proportion, and the adoption of the use of temperature-controlled electric loads is the main issue today. This paper transforms the form of temperature change in the house into an ordinary differential equation, establishes a series of models based on this differential equation, and discusses the ability and characteristics of the electric heating loads' electric behaviour in different situations, using the temperature-controlled intervals as the constraints, and evaluates the economic benefits. In this paper, we first analyse the factors affecting the electric behaviour of electric heating equipment, including the temperature difference between the wall and the room, and analyse the process of temperature change in a typical room by referring to the CTTC model. In this paper, the equation of state method is used to process the ordinary differential equations and convert them into difference equations, which are calculated iteratively using MATLAB. Under the constraints of the given temperature control interval, the steady state solution of the differential equation model is solved, and the characteristics of the heating power, room temperature and wall temperature changes in the steady state are analysed. Secondly, in this paper, the differential equation is used to solve the indoor temperature change equation, taking the last day of the steady state condition, and the indoor temperature at each time point is obtained by iterative computation, one step (1 minute) at a time, and according to the continuity of the indoor temperature when it is adjusted upward or downward, we can get the upward or downward duration by adding up the segment and thus obtaining the duration of upward or downward adjustments.