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Computational Study on Temperature Control Systems for Thermoelectric Refrigerators

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Abstract

Thermoelectric refrigeration has the outstanding advantage of allowing accurate temperature control. However, on the market there are thermoelectric refrigerators which include on/off temperature control systems, because of their simplicity and low cost. The major problem with this system is that, when the thermoelectric modules are switched off, the heat stored in the heat exchanger at the hot end of the modules goes back into the refrigerator, forming a thermal bridge. In this work, we use a computational model, presented and validated in previous papers, to study alternative control systems. A new system is introduced based on idling voltages; that is, once the temperature of the refrigerator reaches the lower limit, the thermoelectric modules are not switched off but supplied with minimum voltage. Computational results prove that this system reduces the electric power consumption of the refrigerator by at least 40% with respect to that obtained with on/off control systems, and the coefficient of performance increases close to the maximum provided by any other control system.

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Abbreviations

C :

Thermal capacity (J/K)

COP:

Coefficient of performance

c p :

Specific heat at constant pressure (J/kg K)

D :

Difference between limits of the inner temperature (°C)

E :

Environment temperature (°C)

E s :

Thermoelectric force due to Seebeck effect (V)

EPC:

Electric power consumption (W)

e :

Wall thickness (m)

h ext :

External convective heat transfer coefficient (W/m2 K)

h int :

Internal convective heat transfer coefficient (W/m2 K)

I :

Electric current (A)

k :

Thermal conductivity (W/m K)

L :

Lower limit of the inner temperature (°C)

Nu:

Nusselt number

Pr:

Prandtl number

\( \dot{Q} \) :

Heat flow rate (W)

\( \dot{Q}_{\rm{C}} \) :

Heat flow rate absorbed by the thermoelectric modules (W)

\( \dot{Q}_{\rm{P}} \) :

Heat flow rate due to Peltier effect (W)

\( \dot{Q}_{\rm{J}} \) :

Heat flow rate due to Joule effect (W)

\( \dot{q} \) :

Specific heat flow rate (W/m3)

\( \dot{Q}_{0} \) :

Heat flow rate going back into the compartment (W)

R :

Thermal resistance (K/W)

R elect :

Electric resistance (Ω)

Re:

Reynolds number

S :

Surface area (m2)

T :

Temperature at instant of time τ (K)

T′:

Temperature at instant of time τ + δτ (K)

U :

Heat transfer coefficient (W/m2 K)

V :

Voltage supplied to the thermoelectric modules (V)

X :

Length (m)

v :

Volume (m3)

α :

Seebeck coefficient (V/K)

τ :

Time (s)

δ :

Density (kg/m3)

π :

Peltier coefficient (V)

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Astrain, D., Martínez, A., Gorraiz, J. et al. Computational Study on Temperature Control Systems for Thermoelectric Refrigerators. J. Electron. Mater. 41, 1081–1090 (2012). https://doi.org/10.1007/s11664-012-2002-0

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  • DOI: https://doi.org/10.1007/s11664-012-2002-0

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