1. Introduction
The Seebeck effect is a thermoelectric phenomenon where a temperature difference between the two points of contact of two different metals forming a closed circuit causes the metals to display magnetic properties due to an induced current and electric field. In other words, a temperature difference can result in a voltage difference and electricity [
1].
The Seebeck effect is quantitatively expressed by the Seebeck coefficient (
α), which is a proportionality factor relating the resulting voltage difference (
∆V) to the applied temperature difference (
∆T), over a narrow range of temperature [
2].
The Seebeck coefficient is generally a function of temperature [
3]. The Seebeck coefficient tends to be very small for metals, with no metal having a value above 100 μV/K (at 300 K). Furthermore, most metals have a Seebeck coefficient magnitude below 10 μV/K [
4].
Despite being weak, the Seebeck effect was successfully utilized in temperature measurements through sensor elements called thermocouples [
5]. In order to upgrade the Seebeck effect for use as a power source, magnification is performed through adopting semiconductor materials instead of metals, and through arranging many thermoelectric elements connected electrically in series while subject to a common temperature difference between two sides (hot side and cold side) [
6]. This special design leads to a thermoelectric generator (TEG) module, which may be viewed as a portable direct current (DC) power source in the shape of a thick plate.
Small TEG-based power units were already produced commercially. These units may have a power rating of 10 W, converting heat (such as a flame of a camping gas canister) into direct current electricity (with 5 V or 12 V voltage levels) for low-power applications, such as lighting and charging mobile phones [
8].
The use of TEG models for recycling waste heat was proposed in different applications such as combustion gases of an electric generator, and industrial furnaces [
8,
9].
This study investigates the suitability of electrically assembling an array of thermoelectric generator (TEG) modules so that the array becomes a candidate for a power plant, in a similar way that many solar photovoltaic (PV) panels can be assembled in an array and act a renewable energy power plant. The anticipated heat source here is direct solar radiation, and water cooling is needed. Such an imagined thermoelectric generation power plant (TEGPP) has several advantages, such as not having moving parts in the generation part (solid state devices), which eliminates requirements for lubrication, avoids noise, and improves reliability [
10]. A TEG system can be classified as a clean alternative power source if its heat source does not cause harmful greenhouse gas (GHG) emissions, such as solar heat or waste heat [
11].
2. Settings
This section describes various settings for a thermoelectric generator (TEG) module from which a TEGPP can be formed. The TEG module corresponds to a high-power model, which is TEG1-24111-6.0, produced by the Canadian manufacturer TECTEG, which is a division of the Thermal Electronics Corporation (TEC) [
12].
Table 1 provides a summary of some conditions for the TEG module as well as selected operational conditions for the TEGPP.
The above module price reflects a discount for bulk orders (50 or more TEG modules). For small orders (from 1 to 9 TEG modules), the price increases to USD 56.0.
For benchmarking, a high-efficiency photovoltaic solar panel is considered here for comparison with the TEG modules. This panel (SPR-MAX3-400) is the model Maxeon 3 by the American company SunPower, having a nominal power of 400 W. It has a nominal solar-to-electric energy conversion efficiency of 22.6%.
Table 2 list some features of that PV panel, based on manufacturer’s data sheet and the selling price provided by an online supplier [
13].
3. Results
The analysis in the previous section suggests that the TEG modules and the PV panels can give similar DC electric power output per unit surface area under their optimized operations. When comparing 214.3 W/m2 for the TEG module with 226.3 W/m2 for the PV panel, the magnitude of the relative difference is below 6%.
However, the cost of power is significantly different for the two technologies. The cost of a unit power in the case of the TEG technology is about 86.5 times its value for the PV technology (72.9167 USD/W compared to 0.84295 USD/W). This does not even take into account added expenses of the cooling system for the TEG modules.
4. Discussion
The manufacturer of the investigated TEG module has a recommended operational condition of 30 °C for the cold side, and 300 °C for the hot side (which is near the maximum allowed limit of 320 °C). In that intense mode, the heat flow density across the module is about 96,000 W/m2, which is 96 times the standard solar radiation power of 1,000 W/m2. This is an enormous heating requirement, which also demands excessive cooling at the cold side.
The electric power density (with a matched load) under this TEG intense condition is 5,612.2 W/m2 (24.8 times the power density of a PV panel under its standard condition). With a needed heat flow density of 96,000 W/m2, the heat-to-electricity conversion efficiency for the TEG module in that case is only 5.85%.
The estimated cost per watt under such an intense TEG operation drops by a factor of 26.19, from 72.9167 USD/W to 2.7841 USD/W. Despite this big decline, this cost is still 3.3 times higher than the estimated one for PV panels (0.84295 USD/W).
5. Conclusions
Based on assessment of the power generation capability and its economic aspect, this study concludes that a thermoelectric generation power plant (TEGPP) is far from being realistic. Such a TEGPP cannot compete with a solar photovoltaic power plant, primarily due to the large cost gap that cannot be bridged by intensifying the operational conditions to a level near the maximum allowed temperature.
However, thermoelectric generators (TEG) are still successful in energy harvesting through converting waste heat into useful electricity.
References
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Table 1.
Settings for the thermoelectric generator (TEG1-24111-6.0), as a possible module in a TEGPP.
Table 1.
Settings for the thermoelectric generator (TEG1-24111-6.0), as a possible module in a TEGPP.
| Setting |
Type |
Value |
| Cold side temperature |
Assumption |
30 °C |
| Hot side temperature |
Assumption |
70 °C |
| Power mode |
Assumption |
Matched load (maximum power) |
| Load resistance |
Performance curve |
2.9 Ω (approximately) |
| Voltage difference |
Performance curve |
1.4 V (approximately) |
| Current |
Calculated (voltage difference ÷ load resistance, with performance curve validation) |
0.48 A |
| Power |
Calculated (voltage difference × current, with performance curve validation) |
0.672 W |
| Dimensions |
Data sheet |
0.056 m × 0.056 m |
| Area |
Calculated (length × width) |
0.003136 m2 |
| Power density |
Calculated (power ÷ area) |
214.3 W/m2 |
| Modules per m2 |
Calculated (1 m2 ÷ area) |
318.878 |
| Price of 1 module |
Online, by manufacturer |
USD 49.0 |
| Cost per m2 of module |
Calculated (price of 1 module ÷ area) |
15,625.0 USD/m2
|
| Cost per W of output |
Calculated (price of 1 module ÷ power) |
72.9167 USD/W |
Table 2.
Settings of the SunPower Maxeon 3 solar photovoltaic panel (SPR-MAX3-400).
Table 2.
Settings of the SunPower Maxeon 3 solar photovoltaic panel (SPR-MAX3-400).
| Setting |
Type |
Value |
| Power mode |
Assumption |
Standard test condition (1,000 W/m2 solar radiation, 25 °C panel temperature), and maximum power |
| Voltage difference |
Data sheet |
65.8 V |
| Current |
Data sheet |
6.08 A |
| Power |
Calculated (voltage difference × current, with data sheet validation) |
400 W |
| Dimensions |
Data sheet |
1.690 m × 1.046 m |
| Area |
Calculated (length × width) |
1.76774 m2 |
| Power density |
Calculated (power ÷ area) |
226.3 W/m2 |
| Panels per m2 |
Calculated (1 m2 ÷ area) |
0.565694 |
| Price of 1 panel |
Online, by a European supplier (in Lithuania) |
EUR 346.0 (equivalent to USD 337.18 as of 8/October/2022) |
| Cost per m2 of panel |
Calculated (price per panel ÷ area) |
190.74 USD/m2
|
| Cost per W of output |
Calculated (price per panel ÷ power) |
0.84295 USD/W |
|
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