Based on the law of conservation of energy and the lumped heat capacity, a mathematical model of central heating system is analyzed and established. A simulation program is developed to simulate the dynamic process of the system under temperature disturbance. Two control strategies, the conventional PID control and the improved climate compensation control, are used to simulate the heating system respectively. The results show that the improved strategy based on the climate compensation can effectively solve the problem that the conventional PID control strategy is prone to heat supply and demand imbalance under the interference of temperature fluctuations. It has certain reference value for the research and design of heating system.