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Thermoelectric Generator (TEG) Figure of Merit (ZT) & Efficiency Calculator

Thermoelectric generators (TEGs) convert temperature gradients directly into electrical power via the Seebeck effect.

Material Seebeck coefficient (e.g. 220 µV/K for Bi2Te3).

Electrical conductivity.

Total lattice and electronic thermal conductivity.

Hot side heat source temperature.

Cold side heat sink temperature.

Calculated Result
1.711

Figure of Merit (ZT)

TEG Thermal Efficiency

15.06 %

Carnot Efficiency Limit

50.0 %

Power Factor

5.324 mW/(m·K²)

Calculation Breakdown

  1. Figure of Merit ZTZT = (S² * sigma * T_avg) / kappa = 1.711
  2. Conversion Efficiencyeta = eta_carnot * [(sqrt(1+ZT)-1)/(sqrt(1+ZT)+Tc/Th)] = 15.06 %

What Is the Thermoelectric Generator (TEG) Figure of Merit (ZT) & Efficiency Calculator?

The dimensionless figure of merit ZT governs the thermal-to-electric power conversion efficiency of thermoelectric materials.

How Does the Thermoelectric Generator (TEG) Figure of Merit (ZT) & Efficiency Calculator Work?

Optimal materials combine high electrical conductivity (to reduce Joule heating) with low thermal conductivity (to preserve thermal gradients).

Thermoelectric Generator (TEG) Figure of Merit (ZT) & Efficiency Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

ZT = \frac{S^2 \sigma T_{\text{avg}}}{\kappa}, \quad \eta_{\max} = \frac{T_h - T_c}{T_h} \frac{\sqrt{1 + ZT} - 1}{\sqrt{1 + ZT} + T_c/T_h}

Thermoelectric figure of merit and maximum device conversion efficiency.

How to Use the Thermoelectric Generator (TEG) Figure of Merit (ZT) & Efficiency Calculator

  1. Input Seebeck coefficient S, electrical conductivity sigma, thermal conductivity kappa, and junction temperatures.

Step-by-Step Example Calculation

Bismuth Telluride Module

Input Values:

seebeckCoefficientVPerK:0.00022
electricalConductivitySPerM:110000
thermalConductivityWPerMK:1.4
hotSideTempK:600
coldSideTempK:300
Worked Steps: Predicts ZT = 1.711 at 450 K average temperature with TEG thermal efficiency of 10.96%.

Understanding Your Result

Outputs figure of merit ZT, power factor, Carnot limit, and maximum generator efficiency percentage.

Factors That Affect the Result

  • Nanostructuring scatters phonons, reducing thermal conductivity kappa and boosting ZT.

When Should You Use This Calculator?

  • Radioisotope thermoelectric generators (RTGs) in deep space probes and automotive exhaust waste heat harvesting.

Assumptions & Limitations

  • Assumes temperature-averaged constant material properties.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Standard formulation derived by Abram Ioffe in 1957.

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