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本文建立了以分布参数为基础的制冷空调系统仿真数学模型，该模型由蒸发器、冷凝器、毛细管及压缩机等四大模块组成且除压缩机外均以分布参数方法建立模型。用能量平衡、压力平衡、质量平衡等三个约束条件将四大部件联系起来并进行求解。从理论计算上得出了在正常的空调工况范围内，制冷量、耗功率、ＣＯＰ等随室内、外空气参数变化的曲线。在空调工况下的实验与理论计算进行了对比，结果证实了此仿真数学模型的准确性。
In this paper, a simulation mathematical model of refrigeration and air conditioning system based on distributed parameters is established. The model is composed of four modules: evaporator, condenser, capillary and compressor. All the models except the compressor are modeled by distributed parameters. The four components are connected and solved by the three constraints of energy balance, pressure balance and mass balance. From the theoretical calculation, the curve of the cooling capacity, power consumption, COP and other parameters with the indoor and outdoor air parameters is obtained in the normal working condition of air conditioning. The experimental and theoretical calculations under air conditioning conditions are compared, the results confirm the accuracy of the simulation mathematical model.