Magnetocaloric materials change their temperature when a magnetic field is applied or removed, which allows building a magnetic cooling device. We derive an analytical expression for the maximum heat that such a material can transfer in one cooling cycle by investigating the operation of a simplified active magnetic regenerator (AMR). The model largely only depends on the adiabatic temperature change, the specific entropy change, and the temperature span between the hot and cold reservoirs. While this expression overestimates the performance of a real AMR due to its simplification, it can predict an upper limit of any AMRs' performance independent of the implementation details. Based on this, we calculate the upper limit of the cooling power of magnetic cooling devices at any temperature span, frequency, mass, and material. This upper limit is used to predict how the thermal span is scaling with the applied magnetic field, and it can be utilized for the optimization of the magnetic field source. Additionally, we confirm that the product of isothermal entropy and adiabatic temperature change, already used in the literature, is a suitable figure of merit for magnetocaloric materials.
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15 November 2021
Research Article|
November 17 2021
Maximum performance of an active magnetic regenerator
Dimitri Benke
;
Dimitri Benke
a)
1
TU Darmstadt
, Alarich Weiß-Str. 16, 64287 Darmstadt, Germany
2
MagnoTherm Solutions GmbH
, Alarich Weiß-Str. 16, 64287 Darmstadt, Germany
a)Author to whom correspondence should be addressed: [email protected]
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Maximilian Fries
;
Maximilian Fries
1
TU Darmstadt
, Alarich Weiß-Str. 16, 64287 Darmstadt, Germany
2
MagnoTherm Solutions GmbH
, Alarich Weiß-Str. 16, 64287 Darmstadt, Germany
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Tino Gottschall
;
Tino Gottschall
2
MagnoTherm Solutions GmbH
, Alarich Weiß-Str. 16, 64287 Darmstadt, Germany
3
Dresden High Magnetic Field Laboratory (HLD-EMFL), Helmholtz-Zentrum Dresden-Rossendorf
, 01328 Dresden, Germany
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Dominik Ohmer
;
Dominik Ohmer
1
TU Darmstadt
, Alarich Weiß-Str. 16, 64287 Darmstadt, Germany
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Andreas Taubel
;
Andreas Taubel
1
TU Darmstadt
, Alarich Weiß-Str. 16, 64287 Darmstadt, Germany
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Konstantin Skokov
;
Konstantin Skokov
1
TU Darmstadt
, Alarich Weiß-Str. 16, 64287 Darmstadt, Germany
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Oliver Gutfleisch
Oliver Gutfleisch
1
TU Darmstadt
, Alarich Weiß-Str. 16, 64287 Darmstadt, Germany
2
MagnoTherm Solutions GmbH
, Alarich Weiß-Str. 16, 64287 Darmstadt, Germany
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Dimitri Benke
1,2,a)
Maximilian Fries
1,2
Tino Gottschall
2,3
Dominik Ohmer
1
Andreas Taubel
1
Konstantin Skokov
1
Oliver Gutfleisch
1,2
1
TU Darmstadt
, Alarich Weiß-Str. 16, 64287 Darmstadt, Germany
2
MagnoTherm Solutions GmbH
, Alarich Weiß-Str. 16, 64287 Darmstadt, Germany
3
Dresden High Magnetic Field Laboratory (HLD-EMFL), Helmholtz-Zentrum Dresden-Rossendorf
, 01328 Dresden, Germany
a)Author to whom correspondence should be addressed: [email protected]
Appl. Phys. Lett. 119, 203901 (2021)
Article history
Received:
August 19 2021
Accepted:
October 30 2021
Citation
Dimitri Benke, Maximilian Fries, Tino Gottschall, Dominik Ohmer, Andreas Taubel, Konstantin Skokov, Oliver Gutfleisch; Maximum performance of an active magnetic regenerator. Appl. Phys. Lett. 15 November 2021; 119 (20): 203901. https://doi.org/10.1063/5.0067751
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