Abstract: High power pulse tube cryocoolers are expected to be a very promising candidate for high temperature superconductors (HTS) cooling. Unfortunately there are still some problems significantly deteriorating the performance of these cryocoolers, one of which is temperature inhomogeneity. Several different theories have been proposed to explain the mechanism and many factors have been indicated as contributors to the generation and development of temperature inhomogeneity. However, some relations between these factors are seldom noticed, nor classified. The underlying mechanisms are not yet clear. The paper classifies, as internal and external, factors leading to temperature inhomogeneity based on their location. We examine some apparently unreasonable assumptions that have been made and difficulties in simulation and measurement. Theoretical and experimental research on the driving mechanism and suppression of temperature inhomogeneity is reviewed, and potential analysis and measurement methods which could be used in future are identified.

大功率脉管制冷机的温度非均匀性

[1]Andersen, S.K., Dietrich, M., Carlsen, H., et al., 2007. Numerical study on transverse asymmetry in the temperature profile of a regenerator in a pulse tube cooler. International Journal of Heat and Mass Transfer, 50(13-14):2795-2804.

[2]Chen, R.L., Henzler, G.W., Royal, J.H., et al., 2010. Reliability test of a 1 kW pulse tube cryocooler for HTS cable application. Cryogenics Engineering Conference, Tucson, Arizona, USA, p.727-735.

[3]Daniel, W.J.W., 2007. High-Power Cryocooling. PhD Thesis, Eindhoven University, the Netherlands.

[4]de Waele, A.T.A.M., Sun, D.M., Fang, K., 2013. Stability of high aspect ratio cryocooler regenerators. International Conference of Cryogenics and Refrigeration, Hangzhou, China, p.A2-42.

[5]Dietrich, M., Thummes, G., 2010. Two-stage high frequency pulse tube cooler for refrigeration at 25 K. Cryogenics, 50(4):281-286.

[6]Dietrich, M., Yang, L.W., Thummes, G., 2007. High-power Stirling-type pulse tube cryocooler: observation and reduction of regenerator temperature-inhomogeneities. Cryogenics, 47(5-6):306-314.

[7]Ercolani, E., Poncet, J.M., Charles, I., et al., 2008. Design and prototyping of a large capacity high frequency pulse tube. Cryogenics, 48(9-10):439-447.

[8]Fang, K., Qiu, L.M., Liu, D.H., et al., 2012. Effect of non-uniform porosity on temperature inhomogeneity in the regenerator of high power Stirling type pulse tube cryocoolers. 24th International Cryogenic Engineering Conference, Fukuoka, Japan, p.347-350.

[9]Garaway, I., Taylor, R., Lewis, M., et al., 2009a. Infrared imaging as a means of characterizing flow and temperature instabilities within pulse tube cryocoolers. 15th International Cryocooler Conference, Long Beach, California, USA, p.1-9.

[10]Garaway, I., Taylor, R., Lewis, M., et al., 2009b. Characterizing flow and temperature instabilities within pulse tube cryocoolers using infrared imaging. 15th International Cryocooler Conference, Long Beach, California, USA, p.233-240.

[11]Gedeon, D., 1997. DC gas flow in Stirling and pules tube cryocoolers. 9th International Cryocooler Conference, Waterville Valley, New Hampshire, USA, p.385-392.

[12]Gedeon, D., 2004. Flow circulations in foil-type regenerators produced by non-uniform layer spacing. 13th International Cryocooler Conference, New Orleans, USA, p.421-430.

[13]Gromoll, B., Huber, N., Dietrich, M., et al., 2006. Development of a 25 K pulse tube refrigerator for future HTS-series products in power engineering. 22nd Cryogenic Engineering Conference, Keystone, Colorado, USA, p.643-652.

[14]Imura, J., Shinoki, S., Sato, T., et al., 2006. Development of high capacity Stirling type pulse tube cryocooler. 19th International Symposium on Superconductivity, Nagoya, Japan, p.1369-1371.

[15]Imura, J., Iwata, N., Yamamoto, H., et al., 2008. Optimization of regenerator in high capacity Stirling type pulse tube cryocooler. 20th International Symposium on Superconductivity, Tsukuba, Japan, p.2178-2180.

[16]Kirkconnell, C.S., 1999. Experimental investigation of a unique pulse tube expander design. 10th International Cryocooler Conference, Monterey, California, USA, p.239-247.

[17]Lewis, M.A., Taylor, R.P., Bradley, P.E., et al., 2009. Pulse tube cryocooler for rapid cool down of a superconducting magnet. 15th International Cryocooler Conference, Long Beach, California, USA, p.167-176.

[18]Lewis, M.A., Taylor, R.P., Radebaugh, R., et al., 2010. Investigation of flow nonuniformities in a large 50 K pulse tube cryocooler. Cryogenic Engineering Conference, Tucson, Tennessee, USA, p.68-75.

[19]Li, Z.P., Jiang, Y.L., Gan, Z.H., et al., 2014. Performance of a precooled 4 K Stirling type high frequency pulse tube cryocooler with Gd₂O₂S. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 15(7):508-516.

[20]Liu, D.H., Qiu, L.M., Gan, Z.H., et al., 2011. Study on temperature inhomogeneity in regenerator of high-power Stirling-type pulse tube cryocoolers based on two parallel regenerator model. Cryogenics, (6):4-8 (in Chinese).

[21]Lynch, N., 2003. Large scale cryocooler development for superconducting electric power application. 21st Cryogenic Engineering Conference, Anchorage, Alaska, USA, p.173-176.

[22]Martin, J.L., Martin, C.M., 2002. Pulse tube cryocoolers for industrial applications. 19th Cryogenic Engineering Conference, Madison, Wisconsin, USA, p.662-669.

[23]Potratz, S.A., 2007. Design and Test of a High Capacity Pulse Tube. PhD Thesis, University of Wisconsin-Madison, USA.

[24]Potratz, S.A., Nellis, G.F., Maddocks, J.R., et al., 2006. Development of a large-capacity, Stirling-type pulse tube refrigerator. 22nd Cryogenic Engineering Conference, Keystone, Colorado, USA, p.3-10.

[25]So, J.H., Swift, G.W., Backhaus, S., 2006. An internal streaming instability in regenerators. Journal of the Acoustical Society of America, 120(4):1898-1909.

[26]Spoor, P.S., 2012. Preliminary results on a large acoustic-Stirling (“pulse tube”) cooler designed for 800 W at 70 K. 17th International Cryocooler Conference, Los Angeles, USA, p.121-127.

[27]Spoor, P.S., 2013. Anomalous temperature and amplitude-dependent performance characteristic of a 1000W/80K coldfinger. Cryogenic Engineering Conference, Anchorage, Alaska, USA, p.1405-1409.

[28]Sun, D.M., Dietrich, M., Thummes, G., 2009a. High power Stirling type pulse tube cooler working below 30 K. Cryogenics, 49(9):457-462.

[29]Sun, D.M., Dietrich, M., Thummes, G., et al., 2009b. Investigation on regenerator temperature inhomogeneity in Stirling-type pulse tube cooler. Chinese Science Bulletin, 54(6):986-991.

[30]Sun, J.C., Qiu, L.M., Fang, K., et al., 2011. Theoretical and experimental investigation on high frequency large power pulse tube cryocooler. Cryogenic Engineering Conference of China, Wuhan, China, p.109-114 (in Chinese).

[31]Sun, J.C., Qiu, L.M., Gan, Z.H., et al., 2012. Simulation and experimental investigation of single stage high power Stirling-type pulse tube cryocooler. Journal of Engineering Thermophysics, 33(8):1283-1286 (in Chinese).

[32]Tanchon, J., Ercolani, E., Trollier, T., 2006. Design of a very large pulse tube cryocooler for HTS cable application. 22nd Cryogenic Engineering Conference, Keystone, Colorado, USA, p.661-668.

[33]Tanchon, J., Trollier, T., Ravex, A., et al., 2007. Prototyping a large capacity high frequency pulse tube cryocooler. 14th International Cryocooler Conference, Annapolis, Mariland, USA, p.133-139.

[34]Yuan, J., Maguire, J., 2004. Development of a single stage pulse tube refrigerator with linear compressor. 13th International Cryocooler Conferene, New Orleans, USA, p.157-163.

[35]Zhang, X.B., Chen, J.Y., Yao, L., et al., 2014. Research and development of large-scale cryogenic air separation in China. Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 15(5):309-322.

[36]Zia, J.H., 2007. A pulse tube cryocooler with 300 W refrigeration at 80 K with operating efficiency of 19% Carnot. 14th International Cryocooler Conference, Annapolis, Maryland, USA, p.141-147.