Multi-Objective Robust Design of Segmented Thermoelectric–Thermal Protection Structures for Hypersonic Vehicles Using a High-Fidelity Thermal Network
Source abstract
Abstract
Long-endurance hypersonic vehicles face the dual challenge of withstanding extreme aerodynamic heating while meeting onboard power requirements. Integrating thermoelectric generators within thermal protection systems offers a solution by converting thermal loads into electrical power. However, accurate prediction requires resolving coupled multiphysics, where three-dimensional simulations are computationally prohibitive and existing one-dimensional models lack accuracy. This study develops a quasi-two-dimensional distributed thermal network incorporating shape-factor corrections for rapid, high-fidelity prediction. Multi-objective optimization is performed to balance specific power, thermal expansion mismatch, and thermal margin. Analysis reveals fundamental trade-offs: a maximum-power design achieves 28.1 W/kg but only a 0.8% thermal margin, whereas a balanced design delivers 24.5 W/kg with a 5.1% thermal margin and significantly reduced thermal stress. Despite geometric variations, peak conversion efficiency converges to approximately 13%. This indicates that efficiency is primarily governed by material properties, while geometric optimization effectively tunes temperature and thermal strain distributions, providing guidelines for reliable system development.
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Research context
OpenAlex topics: Aerodynamics and Fluid Dynamics Research · Advanced Thermoelectric Materials and Devices · Plasma and Flow Control in Aerodynamics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
State Key Laboratory of Mechanics and Control for Aerospace Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Funding
Independent Research Project of the State Key Laboratory of Mechanics and Control for Aerospace Structures
References (37)
Show source-provided references
1. An, K., Guo, Z., Xu, X., and Huang, W. (2020). A framework of trajectory design and optimization for the hypersonic gliding vehicle. Aerosp. Sci. Technol., 106.10.1016/j.ast.2020.106110 ↗
2. Gou, J.-J., Yan, Z.-W., Hu, J.-X., Gao, G., and Gong, C.-L. (2021). The heat dissipation, transport and reuse management for hypersonic vehicles based on regenerative cooling and thermoelectric conversion. Aerosp. Sci. Technol., 108.10.1016/j.ast.2020.106373 ↗
3. Technologies for thermal protection systems applied on re-usable launcher10.1016/j.actaastro.2004.05.034 ↗
4. Theoretical prediction of thermal conductivity for thermal protection systems10.1016/j.applthermaleng.2011.07.012 ↗
5. A novel TE-material based thermal protection structure and its performance evaluation for hypersonic flight vehicles10.1016/j.ast.2018.03.028 ↗
6. Performance evaluation of power generation system with fuel vapor turbine onboard hydrocarbon fueled scramjets10.1016/j.energy.2014.09.046 ↗
7. Detailed design of a high speed switched reluctance starter/generator for more/all electric aircraft10.1016/S1000-9361(09)60208-9 ↗
8. Cheng, K., Qin, J., Zhang, D., Bao, W., and Jing, W. (2022). Performance evaluation for a combined power generation system of closed-Brayton-cycle and thermoelectric generator with finite cold source at room temperature on hypersonic vehicles. Energy, 254.10.1016/j.energy.2022.124444 ↗
9. Surhone, L.M., Tennoe, M.T., and Henssonow, S.F. (2010). Ram Air Turbine, Collins Aerospace.
10. Wang, Y., Cheng, K., Dang, C., Wang, C., Qin, J., and Huang, H. (2023). Performance and experimental investigation for a novel heat storage based thermoelectric harvester for hypersonic vehicles. Energy, 263.10.1016/j.energy.2022.125885 ↗
11. Cooling, heating, generating power, and recovering waste heat with thermoelectric systems10.1126/science.1158899 ↗
12. Chen, W.-H., and Chiou, Y.-B. (2020). Geometry design for maximizing output power of segmented skutterudite thermoelectric generator by evolutionary computation. Appl. Energy, 274.10.1016/j.apenergy.2020.115296 ↗
13. Gao, G., Gou, J.-J., Gong, C.-L., Hu, J.-X., and Gao, R.-C. (2021). A novel mechanical-thermal-electrical thermal protection system concept and its multi-scale performance evaluation for hypersonic launch vehicles. Compos. Struct., 268.10.1016/j.compstruct.2021.113962 ↗
14. Performance evaluation and comparison of electricity generation systems based on single- and two-stage thermoelectric generator for hypersonic vehicles10.1016/j.actaastro.2018.05.033 ↗
15. Performance assessment of multi-stage thermoelectric generators on hypersonic vehicles at a large temperature difference10.1016/j.applthermaleng.2017.11.057 ↗
16. Performance assessment of an integrated power generation and refrigeration system on hypersonic vehicles10.1016/j.ast.2019.04.006 ↗
17. Performance comparison of single- and multi-stage onboard thermoelectric generators and stage number optimization at a large temperature difference10.1016/j.applthermaleng.2018.05.127 ↗
18. Performance optimization of a two-stage semiconductor thermoelectric-generator10.1016/j.apenergy.2004.12.003 ↗
19. Gao, G., Li, D., Gou, J.-J., Gong, C.-L., and Li, S.-M. (2022). A study of interfacial electrical contact resistances of thermoelectric generators for hypersonic vehicles by experimental measurements and two-scale numerical simulations. Aerosp. Sci. Technol., 131.10.1016/j.ast.2022.107966 ↗
20. Effects of physical dimensions, temperature ranges and interfacial thermal contacts on the multi-stage thermoelectric generators for a hypersonic vehicle10.1002/er.7799 ↗
21. Shittu, S., Li, G., Zhao, X., Ma, X., Akhlaghi, Y.G., and Fan, Y. (2020). Comprehensive study and optimization of concentrated photovoltaic-thermoelectric considering all contact resistances. Energy Convers. Manag., 205.10.1016/j.enconman.2019.112422 ↗
22. Influence of leg geometry configuration and contact resistance on the performance of annular thermoelectric generators10.1016/j.enconman.2018.04.042 ↗
23. Detailed Transient Multiphysics Model for Fast and Accurate Design, Simulation and Optimization of a Thermoelectric Generator (TEG) or Thermal Energy Harvesting Device10.1007/s11664-019-06952-x ↗
24. Appropriate utilization of the unit cell method in thermal calculation of composites10.1016/j.applthermaleng.2018.04.127 ↗
25. Numerical modeling of thermoelectric generators with varying material properties in a circuit simulator10.1109/TEC.2008.2005310 ↗
26. SPICE model of thermoelectric elements including thermal effects10.1109/IMTC.2000.848895 ↗
27. Shape factors for conductive heat flow in circular and quadratic cross-sections10.1016/S0017-9310(97)00351-7 ↗
28. Bai, F.X., Yu, H., Peng, Y.K., Li, S., Yin, L., Huang, G., and Chen, X.J. (2022). Electronic topological transition as a route to improve thermoelectric performance in Bi0.5Sb1.5Te3. Adv. Sci., 9.10.1002/advs.202105709 ↗
29. Yang, K., Li, X., Sun, C., Song, W., Zhao, W., and Zhang, Q. (2024). Robust Room Temperature Thermoelectric Performance of Mg3(Sb, Bi)2-Based Alloys via Multivalent Mn Doping. Adv. Funct. Mater., 34.10.1002/adfm.202315886 ↗
30. Tang, X., Zhang, Q., Chen, L., Goto, T., and Hirai, T. (2005). Synthesis and thermoelectric properties of p-type- and n-type-filled skutterudite RyMxCo4−xSb12 (R: Ce, Ba, Y, M: Fe, Ni). J. Appl. Phys., 97.10.1063/1.1888048 ↗
31. In-doped multifilled n-type skutterudites with ZT = 1.810.1016/j.actamat.2015.05.024 ↗
32. Enhanced thermoelectric figure-of-merit in nanostructured p-type silicon germanium bulk alloys10.1021/nl8026795 ↗
33. Thermoelectric and mechanical properties of a hot pressed nanostructured n-type Si80Ge20 alloy10.1016/j.msea.2012.11.073 ↗
34. Unified contact layers design for highly efficient segmented PbTe/Bi2Te3 thermoelectric devices10.1039/D5EE04306A ↗
35. High temperature CoSb3–Cu junctions10.1016/j.microrel.2011.03.033 ↗
36. Yoo, C.Y., Yeon, C., Jin, Y., Kim, Y., Song, J., Yoon, H., and Min, G. (2019). Determination of the thermoelectric properties of a skutterudite-based device at practical operating temperatures by impedance spectroscopy. Appl. Energy, 251.10.1016/j.apenergy.2019.113341 ↗
37. Realizing a thermoelectric conversion efficiency of 12% in bismuth telluride/skutterudite segmented modules through full-parameter optimization and energy-loss minimized integration10.1039/C7EE00447H ↗