推移活塞运动方式对脉管制冷机性能影响仿真研究

Simulation Study on the Effects of Displacer Motion on the Performance of Pulse Tube Cryocooler

  • 摘要: 相较于斯特林制冷机,惯性管气库调相型脉管制冷机的理论效率较低,原因在于其脉管热端产生的声功在惯性管气库中转化为热量而未能有效利用。而推移活塞调相型脉管制冷机则能够回收脉管热端的膨胀功,在制冷效率提升方面占有较大的优势。由此,基于Sage一维数值模型对一款采用推移活塞调相的6 W@80 K同轴斯特林型脉管制冷机进行了仿真分析与研究。首先,建立推移活塞的运动方程及相位关系图,即推移活塞调相型脉管制冷机的位移-体积流-压力波的相位关系。其次,开展了推移活塞相位及振幅对调相性能和制冷机制冷性能的影响规律研究。发现推移活塞振幅3 mm、相位45°时,冷头COP达到7.3%的最优值。最后,在制冷性能、能量流动和相位关系方面对推移活塞调相和双段惯性管气库调相的计算结果进行了对比分析。研究结果显示:两种调相方式下,冷头COP分别为7.38 %和5.71 %,相位关系分别为24.79°、−32.95°和27.5°、−11.3°。通过对整机能量流动的研究,阐述了两种调相结构工作原理的差异,指出推移活塞能够回收脉管热端声功、优化相位分布。

     

    Abstract: Compared to Stirling cryocooler, the theoretical efficiency of the pluse tube cryocooler with inertance tube reservoir phase shifting is relatively low. This is chiefly ascribed to the acoustic power generated at the hot end of the pulse tube, which is converted into heat within the inertance tube reservoir and not effectively utilized. In contrast, the phase shifting pulse tube cryocoolers utilizing a displacer piston can recover the expansion work from the hot end of the pulse tube, thereby offering significant advantages in improving refrigeration efficiency. A one-dimensional numerical model using Sage was employed to conduct the simulation analysis and research on a coaxial Stirling pulse tube cryocooler with a displacer piston phase-shifting mechanism, rated at 6 W @ 80 K. Firstly, the motion equation of the displacer piston and the phase relationship diagram were established. The phase relationships among the displacement, volume flow, and pressure wave in the displacer piston phase-shifting pulse tube Cryocooler were determined. Secondly, the investigation was proposed into how the displacer piston's phase and amplitude affected the phase shifting performance and refrigeration efficiency of the cryocooler. It was found that with a displacer amplitude of 3 mm and a displacer phase of 45°, the COP of the cold head reached its optimal value of 7.38%. Finally, a comparative analysis was conducted between the displacer piston phase shifting method and the dual-stage inertance tube reservoir phase shifting method, by evaluating their refrigeration performance, energy flow, and the phase relationships. It was found that under the two different phase-shifting methods, the COP of the cold heads was 7.38% and 5.71%, respectively, with phase relationships of 24.79° and −32.95° for one method, and 27.5° and −11.3° for the other. Through a comprehensive study of the overall energy flow in the system, the differences in the working principles of the two phase shifting structures were elucidated. Furthermore, it was pointed out that the displacer piston could recover the acoustic power at the hot end of the pulse tube and optimized the phase distribution.

     

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