Physics:Cascade refrigeration

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Short description: Refrigeration process used to achieve temperatures below -100 degrees Celsius without liquid gases
A two-cycle cascade refrigeration process schematic diagram

A cascade refrigeration cycle is a multi-stage thermodynamic cycle. An example two-stage process is shown at right. (Bottom on mobile) The cascade cycle is often employed for devices such as ULT freezers.[1]

In a cascade refrigeration system, two or more vapor-compression cycles with different refrigerants are used. The evaporation-condensation temperatures of each cycle are sequentially lower with some overlap to cover the total temperature drop desired, with refrigerants selected to work efficiently in the temperature range they cover. The low temperature system removes heat from the space to be cooled using an evaporator, and transfers it to a heat exchanger that is cooled by the evaporation of the refrigerant of the high temperature system. Alternatively, a liquid to liquid or similar heat exchanger may be used instead. The high temperature system transfers heat to a conventional condenser that carries the entire heat output of the system and may be passively, fan, or water-cooled.

An auto-cascade process with two different refrigerants. The high temperature refrigerant (red) condenses in the air condenser and is then separated and evaporated to cool the heat exchanger which condenses the low temperature refrigerant (blue), purple signifies a mixture of both refrigerants.

Cascade cycles may be separated by either being sealed in separated loops, or in what is referred to as an "auto-cascade" where the gases are compressed as a mixture but separated as one refrigerant condenses into a liquid while the other continues as a gas through the rest of the cycle.[2][3][4][5] Although an auto-cascade introduces several constraints on the design and operating conditions of the system that may reduce the efficiency it is often used in small systems due to only requiring a single compressor, or in cryogenic systems as it reduces the need for high efficiency heat exchangers to prevent the compressors leaking heat into the cryogenic cycles. Both types can be used in the same system, generally with the separate cycles being the first stage(s) and the auto-cascade being the last stage.

Peltier coolers may also be cascaded into a multi-stage system to achieve lower temperatures. Here the hot side of the first Peltier cooler is cooled by the cold side of the second Peltier cooler, which is larger in size, whose hot side is in turn cooled by the cold side of an even larger Peltier cooler, and so on.[6][7][8] Efficiency drops very rapidly as more stages are added but for very small heat loads down to near-cryogenic temperatures this can often be an effective solution due to being compact and low cost, such as in mid-range thermographic cameras. A two stage Peltier cooler can achieve around -30°C, -75°C with three stages, -85°C with four stages, -100°C with six stages, and -123°C with seven stages. Refrigeration power and efficiency are low but Peltier coolers can be small, for small cooling loads resulting in overall low power consumption for a Peltier cooler with three stages.[9] [10][11] For a Peltier cooler with seven stages, power consumption can be 65 W with a cooling capacity of 80 mW.[12]

References

  1. Berchowitz, David; Kwon, Yongrak (2012). "Environmental Profiles of Stirling-Cooled and Cascade-Cooled Ultra-Low Temperature Freezers". Sustainability 4 (11): 2838–2851. doi:10.3390/su4112838. 
  2. Kai Du, Shaoqian Zhang, Weirong Xu, Xiaofeng Niu, A study on the cycle characteristics of an auto-cascade refrigeration system, Experimental Thermal and Fluid Science, Volume 33, Issue 2, 2009, Pages 240-245, ISSN 0894-1777, https://doi.org/10.1016/j.expthermflusci.2008.08.006. (https://www.sciencedirect.com/science/article/pii/S0894177708001271)
  3. Venkatarathnam, Gadhiraju (December 10, 2008). Cryogenic Mixed Refrigerant Processes. Springer Science & Business Media. p. 121. ISBN 9780387785141. https://books.google.com/books?id=2G5O08iBdhsC&dq=auto+cascade+refrigeration&pg=PA78. 
  4. Ross, Ronald G. Jr (May 8, 2007). Cryocoolers 11. Springer Science & Business Media. ISBN 9780306471124. https://books.google.com/books?id=ZcziBwAAQBAJ&dq=auto+cascade+compressor&pg=PA524. 
  5. Pandey, Chandan; Goyat, Vikas; Goel, Sunkulp (June 6, 2021). Advances in Materials and Mechanical Engineering: Select Proceedings of ICFTMME 2020. Springer Nature. ISBN 9789811606731. https://books.google.com/books?id=P_AxEAAAQBAJ&dq=auto+cascade+separator&pg=PA248. 
  6. Huebener, Rudolf P. (November 16, 2019). Conductors, Semiconductors, Superconductors: An Introduction to Solid-State Physics. Springer Nature. ISBN 9783030314200. https://books.google.com/books?id=rKy-DwAAQBAJ&dq=cascade+peltier+cooler&pg=PA95. 
  7. Rowe, D. M. (December 7, 2018). CRC Handbook of Thermoelectrics. CRC Press. ISBN 9780429956676. https://books.google.com/books?id=n4O1DwAAQBAJ&dq=peltier+stages&pg=PA625. 
  8. Eibl, Oliver; Nielsch, Kornelius; Peranio, Nicola; Völklein, Friedemann (April 21, 2015). Thermoelectric Bi2Te3 Nanomaterials. John Wiley & Sons. ISBN 9783527672639. https://books.google.com/books?id=Zut8CAAAQBAJ&dq=peltier+stages&pg=PA9. 
  9. Gaussorgues, G.; Chomet, S. (December 6, 2012). Infrared Thermography. Springer Science & Business Media. ISBN 9789401107112. https://books.google.com/books?id=K20iCQAAQBAJ&dq=peltier+infrared+stage&pg=PA318. 
  10. Nyquist, Richard A. (April 20, 2001). Interpreting Infrared, Raman, and Nuclear Magnetic Resonance Spectra. Academic Press. ISBN 9780125234757. https://books.google.com/books?id=6Hp7OX56y28C&dq=peltier+infrared&pg=PA30. 
  11. Rogalski, Antonio (November 15, 2010). Infrared Detectors. CRC Press. ISBN 9781420076721. https://books.google.com/books?id=0VUJSafhaK0C&dq=peltier+infrared&pg=PA33. 
  12. Maldaque, Xavier P. V. (April 28, 2023). Infrared Methodology and Technology. CRC Press. ISBN 9781000950601. https://books.google.com/books?id=zRG8EAAAQBAJ&dq=several+peltier+stages&pg=PA68.