{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,3]],"date-time":"2026-04-03T14:56:01Z","timestamp":1775228161615,"version":"3.50.1"},"reference-count":46,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2022,11,5]],"date-time":"2022-11-05T00:00:00Z","timestamp":1667606400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UID\/Multi\/04349\/2020"],"award-info":[{"award-number":["UID\/Multi\/04349\/2020"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UI\/BD\/150713\/2020"],"award-info":[{"award-number":["UI\/BD\/150713\/2020"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["PDI2021-126926OB-C22"],"award-info":[{"award-number":["PDI2021-126926OB-C22"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Spanish Ministry of Science, Innovation and Universities, and European Regional Development Fund","award":["UID\/Multi\/04349\/2020"],"award-info":[{"award-number":["UID\/Multi\/04349\/2020"]}]},{"name":"Spanish Ministry of Science, Innovation and Universities, and European Regional Development Fund","award":["UI\/BD\/150713\/2020"],"award-info":[{"award-number":["UI\/BD\/150713\/2020"]}]},{"name":"Spanish Ministry of Science, Innovation and Universities, and European Regional Development Fund","award":["PDI2021-126926OB-C22"],"award-info":[{"award-number":["PDI2021-126926OB-C22"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Micromachines"],"abstract":"<jats:p>With global warming and rising energy demands, it is important now than ever to transit to renewable energy systems. Thermoelectric (TE) devices can present a feasible alternative to generate clean energy from waste heat. However, to become attractive for large-scale applications, such devices must be cheap, efficient, and based on ecofriendly materials. In this study, the potential of novel silicide-tetrahedrite modules for energy generation was examined. Computer simulations based on the finite element method (FEM) and implicit finite difference method (IFDM) were performed. The developed computational models were validated against data measured on a customized system working with commercial TE devices. The models were capable of predicting the TEGs\u2019 behavior with low deviations (\u226410%). IFDM was used to study the power produced by the silicide-tetrahedrite TEGs for different \u0394T between the sinks, whereas FEM was used to study the temperature distributions across the testing system in detail. To complement these results, the influence of the electrical and thermal contact resistances was evaluated. High thermal resistances were found to affect the devices \u0394T up to ~15%, whereas high electrical contact resistances reduced the power output of the silicide-tetrahedrite TEGs by more than ~85%.<\/jats:p>","DOI":"10.3390\/mi13111915","type":"journal-article","created":{"date-parts":[[2022,11,7]],"date-time":"2022-11-07T03:02:22Z","timestamp":1667790142000},"page":"1915","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Computer Simulations of Silicide-Tetrahedrite Thermoelectric Generators"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8353-538X","authenticated-orcid":false,"given":"Rodrigo","family":"Coelho","sequence":"first","affiliation":[{"name":"C2TN, DECN, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Campus Tecnol\u00f3gico e Nuclear, 2695-066 Bobadela, Portugal"}]},{"given":"\u00c1lvaro","family":"Casi","sequence":"additional","affiliation":[{"name":"Department of Engineering, Institute of Smart Cities, Public University of Navarre, Campus de Arrosadia, s\/n, 31006 Pamplona, Spain"}]},{"given":"Miguel","family":"Araiz","sequence":"additional","affiliation":[{"name":"Department of Engineering, Institute of Smart Cities, Public University of Navarre, Campus de Arrosadia, s\/n, 31006 Pamplona, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6987-0640","authenticated-orcid":false,"given":"David","family":"Astrain","sequence":"additional","affiliation":[{"name":"Department of Engineering, Institute of Smart Cities, Public University of Navarre, Campus de Arrosadia, s\/n, 31006 Pamplona, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1855-7758","authenticated-orcid":false,"given":"Elsa","family":"Branco Lopes","sequence":"additional","affiliation":[{"name":"C2TN, DECN, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Campus Tecnol\u00f3gico e Nuclear, 2695-066 Bobadela, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0252-9413","authenticated-orcid":false,"given":"Francisco P.","family":"Brito","sequence":"additional","affiliation":[{"name":"MEtRICs, DEM, Universidade do Minho, 4800-058 Guimaraes, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2640-3038","authenticated-orcid":false,"given":"Ant\u00f3nio P.","family":"Gon\u00e7alves","sequence":"additional","affiliation":[{"name":"C2TN, DECN, Instituto Superior T\u00e9cnico, Universidade de Lisboa, Campus Tecnol\u00f3gico e Nuclear, 2695-066 Bobadela, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2022,11,5]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2105","DOI":"10.1007\/s11664-009-0994-x","article-title":"Model Building and Simulation of Thermoelectric Module Using Matlab\/Simulink","volume":"39","author":"Tsai","year":"2010","journal-title":"J. Electron. Mater."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"194","DOI":"10.1002\/adem.201500333","article-title":"Thermoelectric Devices for Power Generation: Recent Progress and Future Challenges","volume":"18","author":"Zhang","year":"2016","journal-title":"Adv. Eng. Mater."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"264","DOI":"10.1016\/j.egyr.2019.12.011","article-title":"A Comprehensive Review of Thermoelectric Generators: Technologies and Common Applications","volume":"6","author":"Jaziri","year":"2020","journal-title":"Energy Rep."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"100030","DOI":"10.1016\/j.clema.2021.100030","article-title":"Thermoelectric Generators Act as Renewable Energy Sources","volume":"2","author":"Mamur","year":"2021","journal-title":"Clean. Mater."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"3516","DOI":"10.1016\/j.matpr.2020.11.392","article-title":"Design of an Air-Cooled Thermoelectric Generator System through Modelling and Simulations, for Use in Cement Industries","volume":"44","author":"Charilaou","year":"2020","journal-title":"Mater. Today Proc."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1035","DOI":"10.1016\/j.energy.2016.10.136","article-title":"Thermoelectric Heat Recovery from Glass Melt Processes","volume":"118","author":"Yazawa","year":"2017","journal-title":"Energy"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"2405","DOI":"10.1007\/s11664-014-3094-5","article-title":"Thermoelectric Generation Using Waste Heat in Steel Works","volume":"43","author":"Kuroki","year":"2014","journal-title":"J. Electron. Mater."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"024001","DOI":"10.1088\/2515-7655\/ab0c3a","article-title":"Thermoelectric Harvesters and the Internet of Things: Technological and Economic Drivers","volume":"1","author":"Narducci","year":"2019","journal-title":"J. Phys. Energy"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1016\/j.nanoen.2018.10.013","article-title":"Thermoelectricity for IoT\u2014A Review","volume":"54","author":"Haras","year":"2018","journal-title":"Nano Energy"},{"key":"ref_10","first-page":"135","article-title":"Tetrahedrites for Low Cost and Sustainable Thermoelectrics","volume":"257","author":"Lopes","year":"2017","journal-title":"Solid State Phenom."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1210562","DOI":"10.1155\/2018\/1210562","article-title":"Review of Development Status of Bi2Te3-Based Semiconductor Thermoelectric Power Generation","volume":"21","author":"Chen","year":"2018","journal-title":"Adv. Mater. Sci. Eng."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"1142","DOI":"10.1016\/j.rser.2016.11.096","article-title":"A Survey on Waste Heat Recovery: Electric Power Generation and Potential Prospects within Pakistan","volume":"75","author":"Zeb","year":"2017","journal-title":"Renew. Sustain. Energy Rev."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"535","DOI":"10.1016\/j.pnsc.2012.11.011","article-title":"Nanostructured Thermoelectric Materials: Current Research and Future Challenge","volume":"22","author":"Chen","year":"2012","journal-title":"Prog. Nat. Sci. Mater. Int."},{"key":"ref_14","unstructured":"Research, A.M. (2022, March 28). Thermoelectric Generators Market Analysis. Available online: https:\/\/www.alliedmarketresearch.com\/thermoelectric-generator-market."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"208","DOI":"10.1126\/science.abq5815","article-title":"High Figure-of-Merit and Power Generation in High-Entropy GeTe-Based Thermoelectrics","volume":"377","author":"Jiang","year":"2022","journal-title":"Science"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"106706","DOI":"10.1016\/j.nanoen.2021.106706","article-title":"High-Performance in n-Type PbTe-Based Thermoelectric Materials Achieved by Synergistically Dynamic Doping and Energy Filtering","volume":"91","author":"Liu","year":"2022","journal-title":"Nano Energy"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1132","DOI":"10.1016\/j.jallcom.2018.12.165","article-title":"TiNiSn Half-Heusler Crystals Grown from Metallic Flux for Thermoelectric Applications","volume":"781","author":"Zilber","year":"2019","journal-title":"J. Alloys Compd."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"4092","DOI":"10.1039\/C7CP06176E","article-title":"Thermoelectric Bi2Te3-XSex Alloys for Efficient Thermal to Electrical Energy Conversion","volume":"20","author":"Meroz","year":"2018","journal-title":"Phys. Chem. Chem. Phys."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"2200247","DOI":"10.1002\/aenm.202200247","article-title":"Exceptionally Heavy Doping Boosts the Performance of Iron Silicide for Refractory Thermoelectrics","volume":"12","author":"Pengfei","year":"2022","journal-title":"Adv. Energy Mater."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"12364","DOI":"10.1039\/C5TC02537K","article-title":"Tetrahedrites as Thermoelectric Materials: An Overview","volume":"3","author":"Chetty","year":"2015","journal-title":"J. Mater. Chem. C"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"967","DOI":"10.3938\/jkps.74.967","article-title":"Thermoelectric Properties of Mechanically-Alloyed and Hot-Pressed Cu12\u2212xCoxSb4S13 Tetrahedrites","volume":"74","author":"Kim","year":"2019","journal-title":"J. Korean Phys. Soc."},{"key":"ref_22","first-page":"2710","article-title":"Thermal Stability, Mechanical Properties and Thermoelectric Performance of Cu11TrSb4S13 (Tr = Mn, Fe, Co, Ni, Cu, and Zn)","volume":"13","author":"Pi","year":"2019","journal-title":"J. Electron. Mater."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"5077","DOI":"10.1007\/s11664-020-08250-3","article-title":"Tetrahedrite Sintering Conditions: The Cu11Mn1Sb4S13 Case","volume":"49","author":"Coelho","year":"2020","journal-title":"J. Electron. Mater."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"2880","DOI":"10.1007\/s11664-018-6141-9","article-title":"Oxidation Studies of Cu12Sb3.9Bi0.1S10Se3 Tetrahedrite","volume":"47","author":"Lopes","year":"2018","journal-title":"Electron. Mater."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"161","DOI":"10.4028\/www.scientific.net\/MSF.847.161","article-title":"Thermoelectric Properties of Mn Dopbed Cu12\u2212XMnxSb4S13 Tetrahedrites","volume":"847","author":"Wang","year":"2016","journal-title":"Mater. Sci. Forum"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"2680","DOI":"10.1007\/s11837-016-2060-5","article-title":"Mg2Si-Based Materials for the Thermoelectric Energy Conversion","volume":"68","author":"Cheng","year":"2016","journal-title":"Jom"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1007\/s40243-019-0159-7","article-title":"Synthesis of Thermoelectric Magnesium-Silicide Pastes for 3D Printing, Electrospinning and Low-Pressure Spray","volume":"8","author":"Marques","year":"2019","journal-title":"Mater. Renew. Sustain. Energy"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"2591","DOI":"10.1007\/s11664-018-6091-2","article-title":"Duration of Thermal Stability and Mechanical Properties of Mg2Si\/Cu Thermoelectric Joints","volume":"47","author":"Cai","year":"2018","journal-title":"J. Electron. Mater."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"865","DOI":"10.3938\/jkps.74.865","article-title":"Effects of Aging on Thermoelectric Properties of Tetrahedrite Cu12Sb4S13","volume":"74","author":"Pi","year":"2019","journal-title":"J. Korean Phys. Soc."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1007\/s11664-020-08575-z","article-title":"Protective Coatings for Cu11Mn1Sb4S13 and Cu10.5Ni1.5Sb4S13 Tetrahedrites","volume":"50","author":"Coelho","year":"2021","journal-title":"J. Electron. Mater."},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Brito, F.P., Peixoto, J.S., Martins, J., Gon\u00e7alves, A.P., Louca, L., Vlachos, N., and Kyratsi, T. (2021). Analysis and Design of a Silicide-tetrahedrite Thermoelectric Generator Concept Suitable for Large-scale Industrial Waste Heat Recovery. Energies, 14.","DOI":"10.3390\/en14185655"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"114003","DOI":"10.1016\/j.enconman.2021.114003","article-title":"Analysis of Thermoelectric Generator Incorporating N-Magnesium Silicide and p-Tetrahedrite Materials","volume":"236","author":"Brito","year":"2021","journal-title":"Energy Convers. Manag."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"114453","DOI":"10.1016\/j.mseb.2019.114453","article-title":"Simulation and Fabrication of Thermoelectric Generators for Hand Held Electronic Gadgets","volume":"251","author":"Addanki","year":"2019","journal-title":"Mater. Sci. Eng. B Solid-State Mater. Adv. Technol."},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Doraghi, Q., Khordehgah, N., \u017babnie\u0144ska-G\u00f3ra, A., Ahmad, L., Norman, L., Ahmad, D., and Jouhara, H. (2021). Investigation and Computational Modelling of Variable Teg Leg Geometries. ChemEngineering, 5.","DOI":"10.3390\/chemengineering5030045"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1016\/j.enconman.2015.11.068","article-title":"Design, Assembly and Characterization of Silicide-Based Thermoelectric Modules","volume":"110","author":"Skomedal","year":"2016","journal-title":"Energy Convers. Manag."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"112376","DOI":"10.1016\/j.enconman.2019.112376","article-title":"Prospects of Waste-Heat Recovery from a Real Industry Using Thermoelectric Generators: Economic and Power Output Analysis","volume":"205","author":"Araiz","year":"2020","journal-title":"Energy Convers. Manag."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"1114","DOI":"10.1016\/j.energy.2013.03.093","article-title":"Dynamic Model for Simulation of Thermoelectric Self Cooling Applications","volume":"55","author":"Astrain","year":"2013","journal-title":"Energy"},{"key":"ref_38","first-page":"290","article-title":"Numerical Simulation of Laminar Flow Through a Pipe Using COMSOL Multiphysics","volume":"8","author":"Nguyen","year":"2017","journal-title":"Int. J. Sci. Eng. Res."},{"key":"ref_39","unstructured":"De Oliveira, T.B. (2018). Electrical Power Generation Using Thermoelectric Technology: A Detailed Study of Flame-Wall Interactions, University of Lisbon, Instituto Superior T\u00e9cnico."},{"key":"ref_40","unstructured":"Rane, S.S. (2018). Modelling of Oxygen Diffusion in Cork, New Jersey Institute of Technology."},{"key":"ref_41","doi-asserted-by":"crossref","unstructured":"Coelho, R., De Abreu, Y., Carvalho, F., Lopes, E.B., and Gon\u00e7alves, A.P. (2022). Electrical Contacts Characterization of Tetrahedrite-Based Thermoelectric Generators. Mater. Proc., 8.","DOI":"10.3390\/materproc2022008087"},{"key":"ref_42","doi-asserted-by":"crossref","unstructured":"Camut, J., Ayachi, S., Castillo-Hern\u00e1ndez, G., Park, S., Ryu, B., Park, S., Frank, A., Stiewe, C., M\u00fcller, E., and de Boor, J. (2021). Overcoming Asymmetric Contact Resistances in Al-Contacted Mg2(Si,Sn) Thermoelectric Legs. Materials, 14.","DOI":"10.3390\/ma14226774"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"111147","DOI":"10.1016\/j.materresbull.2020.111147","article-title":"Thermally Stable, Low Resistance Mg2Si0.4Sn0.6\/Cu Thermoelectric Contacts Using SS 304 Interlayer by One Step Sintering","volume":"136","author":"Jayachandran","year":"2021","journal-title":"Mater. Res. Bull."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"1700256","DOI":"10.1002\/admt.201700256","article-title":"Thermoelectric Devices: A Review of Devices, Architectures, and Contact Optimization","volume":"3","author":"He","year":"2018","journal-title":"Adv. Mater. Technol."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"13093","DOI":"10.1039\/c3ta13456c","article-title":"Understanding of the Contact of Nanostructured Thermoelectric N-Type Bi2Te2.7Se0.3 Legs for Power Generation Applications","volume":"1","author":"Liu","year":"2013","journal-title":"J. Mater. Chem. A"},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"1389","DOI":"10.1007\/s11664-012-2261-9","article-title":"Thermal to Electrical Energy Conversion of Skutterudite-Based Thermoelectric Modules","volume":"42","author":"Salvador","year":"2013","journal-title":"J. Electron. Mater."}],"container-title":["Micromachines"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-666X\/13\/11\/1915\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:11:11Z","timestamp":1760145071000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-666X\/13\/11\/1915"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,11,5]]},"references-count":46,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2022,11]]}},"alternative-id":["mi13111915"],"URL":"https:\/\/doi.org\/10.3390\/mi13111915","relation":{},"ISSN":["2072-666X"],"issn-type":[{"value":"2072-666X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,11,5]]}}}