Чи деградують термоелектричні генераторні модулі внаслідок дифузії нікелю

The author builds a strict diffusion theory of electrical contact resistance by studying the process of non-stationary diffusion of metal into the thermoelectric material, as a result of which a transition contact layer is formed. The distribution of metal atoms in the transition layer and the law o...

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Date:2023
Main Author: Gorskyi, Peter
Format: Article
Language:Ukrainian
Published: PE "Politekhperiodika", Book and Journal Publishers 2023
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Online Access:https://www.tkea.com.ua/index.php/journal/article/view/TKEA2023.3-4.59
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Journal Title:Technology and design in electronic equipment

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Technology and design in electronic equipment
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spelling oai:tkea.com.ua:article-432025-08-11T09:08:27Z Do thermoelectric generator modules degrade due to nickel diffusion Чи деградують термоелектричні генераторні модулі внаслідок дифузії нікелю Gorskyi, Peter non-stationary diffusion substance quantity balance transition contact layer electrical contact resistance degradation nickel concentration leveling термоелектричний генераторний модуль контактний опір дифузія нікелю дифузійна теорія теорія композитів The author builds a strict diffusion theory of electrical contact resistance by studying the process of non-stationary diffusion of metal into the thermoelectric material, as a result of which a transition contact layer is formed. The distribution of metal atoms in the transition layer and the law of its growth are strictly determined from the condition of the balance of the substance quantity. It is shown that the relative distribution of nickel in the transition layer is described by a function erfc(6,771x), where erfc(…) is the so-called complementary error integral, and x is the normalized depth measured from the metal-thermoelectric material separation boundary. At the same time, the transition contact layer grows with time t according to the law x0 = 13,552(Dt)1/2, where D is the diffusion coefficient of the metal in the thermoelectric material, and its thickness is related to the thickness of the spent metal layer by the ratio x0 = 12h, where h the thickness of the spent nickel layer. Based on the obtained regularities, the temperature dependence of the electrical contact resistance of the transition layer and its time dependence (degradation law) were strictly calculated for the first time. It is shown that for the thickness of the spent nickel layer in the range of 5-20 μm and in the temperature range of 300-500 K, the electrical contact resistance varies in the range from 3,8·10-6 to 3,4·10-5 Ω·cm2 and increases over time according to the square root law. It is also shown that there is no reason to fear a significant decrease in the thermoelectric figure of merit of the generator material as a result of nickel concentration leveling through the thickness of the thermoelectric leg after its surface layer is depleted. З використанням розробленої методики показано, що дифузія нікелю навіть протягом 50 років не веде до деградації термоелектричних генераторних модулів. Для розрахунку електричного контактного опору використано теорію композитів і запропоновану дифузійну теорію електричного контактного опору, а також методику апроксимації температурних залежностей характеристик термоелектричного матеріалу за експериментальними даними. PE "Politekhperiodika", Book and Journal Publishers 2023-12-19 Article Article Peer-reviewed Article application/pdf https://www.tkea.com.ua/index.php/journal/article/view/TKEA2023.3-4.59 10.15222/TKEA2023.3-4.59 Technology and design in electronic equipment; No. 3–4 (2023): Technology and design in electronic equipment; 59-64 Технологія та конструювання в електронній апаратурі; № 3–4 (2023): Технологія та конструювання в електронній апаратурі; 59-64 3083-6549 3083-6530 10.15222/TKEA2023.3-4 uk https://www.tkea.com.ua/index.php/journal/article/view/TKEA2023.3-4.59/36 Copyright (c) 2023 Peter Gorskyi http://creativecommons.org/licenses/by/4.0/
institution Technology and design in electronic equipment
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datestamp_date 2025-08-11T09:08:27Z
collection OJS
language Ukrainian
topic термоелектричний генераторний модуль
контактний опір
дифузія нікелю
дифузійна теорія
теорія композитів
spellingShingle термоелектричний генераторний модуль
контактний опір
дифузія нікелю
дифузійна теорія
теорія композитів
Gorskyi, Peter
Чи деградують термоелектричні генераторні модулі внаслідок дифузії нікелю
topic_facet non-stationary diffusion
substance quantity balance
transition contact layer
electrical contact resistance
degradation
nickel concentration leveling
термоелектричний генераторний модуль
контактний опір
дифузія нікелю
дифузійна теорія
теорія композитів
format Article
author Gorskyi, Peter
author_facet Gorskyi, Peter
author_sort Gorskyi, Peter
title Чи деградують термоелектричні генераторні модулі внаслідок дифузії нікелю
title_short Чи деградують термоелектричні генераторні модулі внаслідок дифузії нікелю
title_full Чи деградують термоелектричні генераторні модулі внаслідок дифузії нікелю
title_fullStr Чи деградують термоелектричні генераторні модулі внаслідок дифузії нікелю
title_full_unstemmed Чи деградують термоелектричні генераторні модулі внаслідок дифузії нікелю
title_sort чи деградують термоелектричні генераторні модулі внаслідок дифузії нікелю
title_alt Do thermoelectric generator modules degrade due to nickel diffusion
description The author builds a strict diffusion theory of electrical contact resistance by studying the process of non-stationary diffusion of metal into the thermoelectric material, as a result of which a transition contact layer is formed. The distribution of metal atoms in the transition layer and the law of its growth are strictly determined from the condition of the balance of the substance quantity. It is shown that the relative distribution of nickel in the transition layer is described by a function erfc(6,771x), where erfc(…) is the so-called complementary error integral, and x is the normalized depth measured from the metal-thermoelectric material separation boundary. At the same time, the transition contact layer grows with time t according to the law x0 = 13,552(Dt)1/2, where D is the diffusion coefficient of the metal in the thermoelectric material, and its thickness is related to the thickness of the spent metal layer by the ratio x0 = 12h, where h the thickness of the spent nickel layer. Based on the obtained regularities, the temperature dependence of the electrical contact resistance of the transition layer and its time dependence (degradation law) were strictly calculated for the first time. It is shown that for the thickness of the spent nickel layer in the range of 5-20 μm and in the temperature range of 300-500 K, the electrical contact resistance varies in the range from 3,8·10-6 to 3,4·10-5 Ω·cm2 and increases over time according to the square root law. It is also shown that there is no reason to fear a significant decrease in the thermoelectric figure of merit of the generator material as a result of nickel concentration leveling through the thickness of the thermoelectric leg after its surface layer is depleted.
publisher PE "Politekhperiodika", Book and Journal Publishers
publishDate 2023
url https://www.tkea.com.ua/index.php/journal/article/view/TKEA2023.3-4.59
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first_indexed 2025-09-24T17:30:17Z
last_indexed 2025-09-24T17:30:17Z
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