Theoretical modeling and experimental verifications of the single-compressor-driven three-stage Stirling-type pulse tube cryocooler

Abstract

This paper establishes a theoretical model of the single-compressor-driven (SCD) three-stage Stirling-type pulse tube cryocooler (SPTC) and conducts experimental verifications. The main differences between the SCD type and the multi-compressor-driven (MCD) crycooler are analyzed, such as the distribution of the input acoustic power in each stage and the optimization of the operating parameters, in which both advantages and difficulties of the former are stressed. The effects of the dynamic temperatures are considered to improve the accuracy of the simulation at very low temperatures, and a specific simulation example aiming at 10 K is given in which quantitative analyses are provided. A SCD three-stage SPTC is developed based on the theoretical analyses and with a total input acoustic power of 371.58 W, which reaches a no-load temperature of 8.82 K and can simultaneously achieve the cooling capacities of 2.4 W at 70 K, 0.17 W at 25 K, and 0.05 W at 10 K. The performance of the SCD three-stage SPTC is slightly poorer than that of its MCD counterpart developed in the same laboratory, but the advantages of lightweight and compactness make the former more attractive to practical applications.

Keywords

single-compressor-driven / three-stage / Stirling-type pulse tube cryocooler / theoretical modeling / experimental verification

References

[1] Jr Ross R G. Aerospace coolers: A 50-year quest for long-life cryogenic cooling in space. In: Timmerhaus K D, Reed R P, eds. Cryogenic Engineering: Fifty Years of Progress.New York: Springer Publishers, 2006, 225–284

[2] Dang H Z. Development of high performance moving-coil linear compressors for space Stirling-type pulse tube cryocoolers. Cryogenics, 2015, 68: 1–18

[3] Wilson K B, Gedeon D R. Status of pulse tube cryocooler development at Sunpower. Cryocoolers, 2005, 13: 31–40

[4] Olson J, Nast T C, Evtimov B, Roth E. Development of a 10 K pulse tube cryocoolerfor space applications. Cryocoolers, 2003, 12: 241–246

[5] Olson J R, Moore M, Champagne P, . Development of a space-type 4-stage pulse tube cryocooler for very low temperature. Advances in Cryogenic Engineering, 2006, 51: 623–631

[6] Raab J, Colbert R, Harvey D, . NGST advanced cryocooler technology development program (ACTDP) cooler system. Cryocoolers, 2005, 13: 9–14

[7] Bradley P E, Radebaugh R, Garaway I, . Progress in the development and performance of a high frequency4 K Stirling-type pulse tube cryocooler. Cryocoolers, 2011, 16: 27–33

[8] Duval J M, Charles I, Butterworth J, . 7 K–15 K pulse tube cooler for space. Cryocoolers, 2013, 17: 17–23

[9] Gao Z Q, Dang H Z. Entropy analyses of the three-stage thermally-coupled Stirling-type pulse tube cryocooler. Applied Thermal Engineering, 2016, 100: 944–960

[10] Xu M Y, de Waele A T A M, Ju Y L. A pulse tube refrigerator below 2 K. Cryogenics, 1999, 39(10): 865–869

[11] Ju Y L. Thermodynamic analysis of GM-type pulse tube coolers. Cryogenics, 2001, 41(7): 513–520

[12] Kittel P. Enthalpy, entropy, and exergy flows in pulse tube cryocoolers. Cryocoolers, 2005, 13: 343–352

[13] He Y L, Huang J, Zhao C F, Liu Y W. First and second law analysis of pulse tube refrigerator. Applied Thermal Engineering, 2006, 26(17–18): 2301–2307

[14] Yuan S W K, Curran D G T. A new load-shifting concept for multistage cryocoolers. Cryocoolers, 2009, 15: 89–96

[15] Wang C A. 4 K pulse tube cryocooler with large cooling capacity. Cryocoolers, 2016, 19: 299–305

[16] Tan J, Dang H Z. An electrical circuit analogy model for analyses and optimizations of the Stirling-type pulse tube cryocooler. Cryogenics, 2015, 71: 18–29

[17] Dang H Z, Zhang L, Tan J. Dynamic and thermodynamic characteristics of the moving-coil linear compressor for the pulse tube cryocooler. Part A: Theoretical analyses and modeling. International Journal of Refrigeration, 2016, 69: 480–496

[18] Gao Z Q, Dang H Z, Bao D L,Zhao Y B.Investigation on a three-stage Stirling-type pulse tube cryocooler for cooling the low-T_c SQUID. IEEE Transactions on Applied Superconductivity, 2017, 27(4): 1601405

[19] Dang H Z, Tan J, Zha R, . Advances in single- and multi-stage Stirling-type pulse tube cryocoolers for space applications in NLIP/SITP/CAS. IOP Conference Series: Materials Science and Engineering, 2017, 278: 012008

Acknowledgments

The work was financially supported by the Aeronautical Science Foundation of China (Grant No. 20162490005), and the Science and Technology Commission of Shanghai Municipality (Grant No. 18511110100).

RIGHTS & PERMISSIONS

2018 Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature