Stirling/pulse tube hybrid refrigerator, a novel refrigerator composed of Stirling refrigerator as the first stage and pulse tube refrigerator as the second stage, has great potential in space detection applications. This kind of hybrid refrigerator exhibits outstanding comprehensive performance in reliability, efficiency and compactness due to its unique structure. However, there is usually a contradiction between revealing the reality accurately and giving an analytical expression for the existing models. Focusing on accuracy and analyticity, a theoretical model is purposed. In the theoretical model, the major factors affecting the overall performance, including the acoustic inertance, the acoustic compliance, the viscous resistance, the axial temperature gradient and the thermodynamic process in the working chambers, are taken into consideration. By adopting the thermoacoustic equations and the chamber equations, the theoretical model is able to give analytical expressions which can reveal the underlying mechanism mathematically. The theoretical model is verified numerically and experimentally. The cooling capacity of both stages, pressure and acoustic power among the theoretical model, the numerical model and the experiment are compared, and a good trend consistency with respect to the displacer phase is achieved. Based on the theoretical model, the inter-stage cooling capacity allocation characteristics can be explained as the change of phase distribution. Compared with the existing models, the theoretical model is able to reflect the reality in a satisfactory way as well as provide a way to explicitly study the thermodynamic characteristics of Stirling/pulse tube hybrid refrigerator mathematically with analytical expressions, which will provide a better insight to its appropriate design.

斯特林/脉冲管混合式制冷机是一种以斯特林制冷机为第一级，脉冲管制冷机为第二级的新型制冷机，在空间探测应用中具有巨大的潜力。这种混合式冰箱由于其独特的结构在可靠性，效率和紧凑性方面均表现出出色的综合性能。但是，在准确地揭示现实与对现有模型进行分析表达之间通常存在矛盾。着重于准确性和分析性，旨在建立一个理论模型。在理论模型中，影响整体性能的主要因素包括工作室的声学惯性，声学顺应性，粘滞阻力，轴向温度梯度和热力学过程，被考虑在内。通过采用热声方程和腔室方程，该理论模型能够给出解析表达式，从而可以在数学上揭示其潜在机理。理论模型经过数值和实验验证。比较了理论模型，数值模型和实验中两阶段的冷却能力，压力和声功率，得出了与浮选相有关的良好趋势一致性。基于理论模型，级间制冷量分配特性可以解释为相分布的变化。与现有模型相比，