IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v13y2020i18p4952-d416959.html
   My bibliography  Save this article

On Simplified Calculations of Leakage Inductances of Power Transformers

Author

Listed:
  • Tadeusz Sobczyk

    (Faculty of Electrical and Computer Engineering, Cracow University of Technology, Warszawska 24 Street, 31-155 Cracow, Poland)

  • Marcin Jaraczewski

    (Faculty of Electrical and Computer Engineering, Cracow University of Technology, Warszawska 24 Street, 31-155 Cracow, Poland)

Abstract

This paper deals with the problem of the leakage inductance calculations in power transformers. Commonly, the leakage flux in the air zone is represented by short-circuit inductance, which determines the short-circuit voltage, which is a very important factor for power transformers. That inductance is a good representation of the typical power transformer windings, but it is insufficient for multi-winding ones. This paper presents simple formulae for self- and mutual leakage inductance calculations for an arbitrary pair of windings. It follows from a simple 1D approach to analyzing the stray field using a discrete differential operator, and it was verified by the finite element method (FEM) calculation results.

Suggested Citation

  • Tadeusz Sobczyk & Marcin Jaraczewski, 2020. "On Simplified Calculations of Leakage Inductances of Power Transformers," Energies, MDPI, vol. 13(18), pages 1-13, September.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:18:p:4952-:d:416959
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/13/18/4952/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/13/18/4952/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hayek, F. A., 2012. "Hayek on Hayek," University of Chicago Press Economics Books, University of Chicago Press, edition 1, number 9780226321202 edited by Kresge, Stephen & Wenar, Leif, September.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Huseyin R. Hiziroglu, 2023. "A Special Issue: Electric Machinery and Transformers," Energies, MDPI, vol. 16(15), pages 1-3, July.
    2. Marcin Jaraczewski & Tadeusz Sobczyk, 2020. "Leakage Inductances of Transformers at Arbitrarily Located Windings," Energies, MDPI, vol. 13(23), pages 1-20, December.
    3. Zhi Yang & Mustafa Tahir & Sideng Hu & Qiuyan Huang & Haoqi Zhu, 2022. "Transformer Leakage Inductance Calculation Method with Experimental Validation for CLLLC Converter Topology," Energies, MDPI, vol. 15(18), pages 1-14, September.
    4. Marcin Jaraczewski & Tadeusz J. Sobczyk & Adam Warzecha, 2023. "Direct Steady-State Calculation of Electromagnetic Devices Using Field-Circuit Models," Energies, MDPI, vol. 16(13), pages 1-18, June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. William R. Morgan, 2023. "Finance Must Be Defended: Cybernetics, Neoliberalism and Environmental, Social, and Governance (ESG)," Sustainability, MDPI, vol. 15(4), pages 1-21, February.
    2. Etienne Farvaque & Alexander Mihailov & Alireza Naghavi, 2018. "The Grand Experiment of Communism: Discovering the Trade-Off between Equality and Efficiency," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 174(4), pages 707-742, December.
    3. Vassiliades, C. & Savvides, A. & Buonomano, A., 2022. "Building integration of active solar energy systems for façades renovation in the urban fabric: Effects on the thermal comfort in outdoor public spaces in Naples and Thessaloniki," Renewable Energy, Elsevier, vol. 190(C), pages 30-47.
    4. Ahmad Adeel & Bruno Notteboom & Ansar Yasar & Kris Scheerlinck & Jeroen Stevens, 2021. "Sustainable Streetscape and Built Environment Designs around BRT Stations: A Stated Choice Experiment Using 3D Visualizations," Sustainability, MDPI, vol. 13(12), pages 1-21, June.
    5. Arnaud Z. Dragicevic, 2019. "Market Coordination Under Non-Equilibrium Dynamics," Networks and Spatial Economics, Springer, vol. 19(3), pages 697-715, September.
    6. Taner Akan & Tim Solle, 2022. "Do macroeconomic and financial governance matter? Evidence from Germany, 1950–2019," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(4), pages 993-1045, October.
    7. Kienast, Felix & Frick, Jacqueline & van Strien, Maarten J. & Hunziker, Marcel, 2015. "The Swiss Landscape Monitoring Program – A comprehensive indicator set to measure landscape change," Ecological Modelling, Elsevier, vol. 295(C), pages 136-150.
    8. Grilli, Gianluca & Fratini, Roberto & Marone, Enrico & Sacchelli, Sandro, 2020. "A spatial-based tool for the analysis of payments for forest ecosystem services related to hydrogeological protection," Forest Policy and Economics, Elsevier, vol. 111(C).
    9. Martin Mabunda Baluku & Julius Fred Kikooma & Edward Bantu & Kathleen Otto, 2018. "Psychological capital and entrepreneurial outcomes: the moderating role of social competences of owners of micro-enterprises in East Africa," Journal of Global Entrepreneurship Research, Springer;UNESCO Chair in Entrepreneurship, vol. 8(1), pages 1-23, December.
    10. Octavian-Dragomir Jora & Adrian-Ioan Damoc & Vlad I. Rosca & Matei-Alexandru Apavaloaei & Mihaela Iacob, 2022. "“Cyberspace Ecologism 4.0”: Between Software Softeners of and Hardware Hardships on the Natural Environment," The AMFITEATRU ECONOMIC journal, Academy of Economic Studies - Bucharest, Romania, vol. 24(59), pages 1-9.
    11. Nazmi Tolga TUNCER, 2013. "F.A. Hayek and Ordoliberalism: A Comparative Study," Sosyoekonomi Journal, Sosyoekonomi Society, issue 20(20).
    12. Guler Aras & Paul F. Williams, 2022. "Integrated Reporting and Integrated Thinking: Proposing a Reporting Model That Induces More Responsible Use of Corporate Power," Sustainability, MDPI, vol. 14(6), pages 1-19, March.
    13. Sergio Cesaratto, 2017. "Alternative interpretations of a stateless currency crisis," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 41(4), pages 977-998.
    14. Göcen, Serdar, 2015. "F. A. Hayek'in Bilgisizlik Teorisi Çerçevesinde Piyasa, Denge ve Planlama [Market, Equilibrium, and Planning within the Framework of F.A. Hayek's Theory of Ignorance]," MPRA Paper 66811, University Library of Munich, Germany.
    15. Philipp Bagus & José Antonio Peña-Ramos & Antonio Sánchez-Bayón, 2021. "COVID-19 and the Political Economy of Mass Hysteria," IJERPH, MDPI, vol. 18(4), pages 1-15, February.
    16. Balbi Stefano & Giupponi Carlo & Mojtahed Vahid & Olschewski Roland, 2015. "The Total Cost of Water-Related Disasters," Review of Economics, De Gruyter, vol. 66(2), pages 225-252, August.
    17. Jean-Michel Servet & Bruno Tinel, 2020. "The behavioral and neoliberal foundations of randomizations," Post-Print halshs-02562758, HAL.
    18. Stephan Schulmeister, 2018. "From Prosperity into the Crisis and Back. On the Role of Economic Theories in the Long Cycle," WIFO Working Papers 571, WIFO.
    19. Mohammad H. Rahbar & Hanes M. Swingle & MacKinsey A. Christian & Manouchehr Hessabi & MinJae Lee & Meagan R. Pitcher & Sean Campbell & Amy Mitchell & Ryan Krone & Katherine A. Loveland & Donald G. Pat, 2017. "Environmental Exposure to Dioxins, Dibenzofurans, Bisphenol A, and Phthalates in Children with and without Autism Spectrum Disorder Living near the Gulf of Mexico," IJERPH, MDPI, vol. 14(11), pages 1-17, November.
    20. John Davis & Theodore Koutsobinas, 2021. "Attribute substitution, counterfactual thinking, and heterodox economics," Journal of Behavioral Economics for Policy, Society for the Advancement of Behavioral Economics (SABE), vol. 5(S3), pages 45-54, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:13:y:2020:i:18:p:4952-:d:416959. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.