Approximation of Composition and Temperature Dependent Heat Conductivity and Optimization of Thermoelectric Energy Conversion in Silicon-Germanium Alloys

We analyze the efficiency as thermoelectric energy converter of a silicon-germanium alloy with composition and temperature dependent heat conductivity. The dependency on composition is determined by a non-linear regression method (NLRM), while the dependency on temperature is approximated by a first...

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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Switzerland), 2022-10, Vol.24 (10), p.1397
Main Authors: Cimmelli, Vito Antonio, Rogolino, Patrizia
Format: Article
Language:English
Subjects:
Alloys
Analysis
Approximation
Approximation theory
Composition
composition graded materials
composition-dependent heat conductivity
Conduction
Efficiency
efficiency of thermoelectric systems
Electric properties
Energy
Energy conversion
Energy transformation
Generators
Germanium
Germanium base alloys
Heat
Heat conductivity
Investigations
Mathematical optimization
Measurement
Methods
minimum of energy dissipated
Optimization
Silicon
Silicon alloys
silicon–germanium alloys
Temperature dependence
Thermal conductivity
Thermal properties
Thermoelectricity
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Summary:We analyze the efficiency as thermoelectric energy converter of a silicon-germanium alloy with composition and temperature dependent heat conductivity. The dependency on composition is determined by a non-linear regression method (NLRM), while the dependency on temperature is approximated by a first-order expansion in the neighborhood of three reference temperatures. The differences with respect to the case of thermal conductivity depending on composition only are pointed out. The efficiency of the system is analyzed under the assumption that the optimal energy conversion corresponds to the minimum rate of energy dissipated. The values of composition and temperature which minimize such a rate are calculated as well.
ISSN:1099-4300
1099-4300
DOI:10.3390/e24101397