Journals / Scientific Journal of Mehmet Akif Ersoy University / 2026 / Volume: 9 Issue: 1

Mutual Inductance Calculation Between HTS Spiral Tape Coils Using The Projection Method

Serhat Tunç(ISTANBUL UNIVERSITY, FACULTY OF SCIENCE, DEPARTMENT OF PHYSICS)0000-0002-5638-6876
Pages
—
Publication Date
2026-08-04
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The proposed approach provides a geometry-aware extension of the circular-wire projection method and offers a practical tool for mutual inductance estimation in flat HTS tape coil systems, with potential use in superconducting coil design, inductance-matrix construction, and SMES-related analyses.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This study develops a numerical computational approach for calculating the mutual inductance of flat high-temperature superconducting tape pancake coils.
📊
Key Findings & Data:This discretization represents the finite-width geometry of the HTS tape without assuming that the tape is physically separated into individual wires.
💡
Conclusion & Impact:The proposed approach provides a geometry-aware extension of the circular-wire projection method and offers a practical tool for mutual inductance estimation in flat HTS tape coil systems, with potential use in superconducting coil design, inductance-matrix construction, and SMES-related analyses.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Mutual inductance · HTS tape · ReBCO pancake coil

Abstract

This study develops a numerical computational approach for calculating the mutual inductance of flat high-temperature superconducting tape pancake coils. The method extends a projection-based flux calculation originally formulated for circular cross sectional wire coils to rectangular HTS tape conductors. Instead of representing each tape turn by a single nominal-radius filament, the proposed model divides the tape width into narrow equivalent filamentary sub-layers and evaluates the mutual inductance contribution between these sectional elements. The total tape-to-tape and coil-to-coil mutual inductance values are then obtained by summing the contributions of all sub-section and turn pairs. This discretization represents the finite-width geometry of the HTS tape without assuming that the tape is physically separated into individual wires. The implementation is applied to closely wound coaxial ReBCO pancake coils, and the calculated mutual inductance values are compared with published data for superconducting pancake coils under axial separation and lateral misalignment conditions. The proposed approach provides a geometry-aware extension of the circular-wire projection method and offers a practical tool for mutual inductance estimation in flat HTS tape coil systems, with potential use in superconducting coil design, inductance-matrix construction, and SMES-related analyses.

🔖

Cite This Article

Tunç, S. (2026). Mutual Inductance Calculation Between HTS Spiral Tape Coils Using The Projection Method. Scientific Journal of Mehmet Akif Ersoy University, Volume: 9 Issue: 1. https://doi.org/10.70030/sjmakeu.1989115

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (14)

  1. Pardo, E., Šouc, J., & Kováč, J. (2012). AC loss in ReBCO pancake coils and stacks of them: Modelling and measurement. Superconductor Science and Technology, 25(3), 035003.
  2. Pardo, E. (2013). AC loss calculation in coated conductor coils with a large number of turns. Superconductor Science and Technology, 26(10), 105017.
  3. Grover, F. W. (1946). Inductance calculations: Working formulas and tables. D. Van Nostrand Company.
  4. Babic, S. I., Akyel, C., Sirois, F., Lemarquand, G., Ravaud, R., & Lemarquand, V. (2011). Calculation of the mutual inductance and the magnetic force between a thick circular coil of the rectangular cross section and a thin wall solenoid (integro-differential approach). Progress In Electromagnetics Research B, 33, 221-237.
  5. Babic, S., & Akyel, C. (2020). Self-inductance of the circular coils of the rectangular cross-section with the radial and azimuthal current densities. Physics, 2(3), 352-367.
  6. Parise, M. (2021). Accurate computation of mutual inductance of non-coaxial pancake coils. Energies, 14(16), 4907.
  7. Erdoğan, M. (2026). Calculating mutual inductance of misaligned circular coils using secondary coil projection. EPL, 155(2), 20003.
  8. Pardo, E., Šouc, J., Vojenčiak, M., & Gömöry, F. (2009). AC loss and voltage signal in a pancake coil made of coated conductor with ferromagnetic substrate. IEEE Transactions on Applied Superconductivity, 19(3), 2223-2227.
  9. Zhang, H., Zhang, M., & Yuan, W. (2017). An efficient 3D finite element method model based on the T-A formulation for superconducting coated conductors. Superconductor Science and Technology, 30(2), 024005.
  10. De Sousa Alves, B., Lahtinen, V., Laforest, M., & Sirois, F. (2022). Thin-shell approach for modeling superconducting tapes in the H-φ finite-element formulation. Superconductor Science and Technology, 35(2), 024001.
  11. Quercio, M., Parise, M., Milillo, D., Sabino, L., Asghar, R., & Riganti Fulginei, F. (2025). Analytical modeling of mutual inductance in superconducting pancake coils for wireless power transfer systems. IEEE Access, 13, 90698-90705.
  12. Shi, Z. H., Chen, X. Y., & Qiu, Z. C. (2019). Modeling of mutual inductance between superconducting pancake coils used in wireless power transfer (WPT) systems. IEEE Transactions on Applied Superconductivity, 29(2), 1-4.
  13. Dwight, H. B. (1961). Tables of integrals and other mathematical data (4th ed.). The Macmillan Company.
  14. Dwight, H. B. (1935). Elliptic integral of large moduli. Electrical Engineering, 54, 709-711.