This paper proposes an improved method for calculating static capacitance between two conductors with circular cross-sections in inductor windings. It considers the effects of electric field coupling and energy distribution on static capacitance. In this paper, the capacitance between two conductors in inductor windings is calculated by the improved calculation method and the finite-element method (FEM), respectively. The relative error of the improved calculation method is between 0.11% and 4.51% compared to the FEM. In order to verify the effectiveness of this method for inductor winding, the orthogonal stacking winding and staggered stacking winding are chosen as calculation examples to accurately predict the static capacitance of multi-layer circular-section induction coils. Finite element models for the two types of windings are built to determine the capacitances for our 3×3 array arrangement winding. The results show that the improved calculation method proposed in this paper highly conforms to FEM. Finally, we adopt an air-cored cylindrical inductor winding for experimental verification, and the improved calculation method is proved to be correct.
2. Bosshard, R. and J. W. Kolar, "Inductive power transfer for electric vehicle charging: Technical challenges and tradeoffs," IEEE Power Electronics Magazine, Vol. 3, No. 3, 22-30, 2016.
doi:10.1109/MPEL.2016.2583839
3. Solas, E., G. Abad, J. A. Barrena, S. Aurtenetxea, A. Carcar, and L. Zajac, "Modular multilevel converter with different submodule concepts — Part II: Experimental validation and comparison for HVDC application," IEEE Transactions on Industrial Electronics, Vol. 60, No. 10, 4536-4545, 2013.
doi:10.1109/TIE.2012.2211431
4. Aguglia, D., "Interconnected high-voltage pulsed-power converters system design for H-ion sources," IEEE Transactions on Plasma Science, Vol. 42, No. 10, 3070-3076, 2014.
doi:10.1109/TPS.2014.2349551
5. Shadmand, M. B. and R. S. Balog, "Determination of parasitic parameters in a high frequency magnetic to improve the manufacturability, performance, and efficiency of a PV inverter," 38th IEEE Photovoltaic Specialists Conference, 001368-001372, Austin, TX, USA, 2012.
doi:10.1109/PVSC.2012.6317854
6. Moorthy, V., "Important factors influencing the magnetic barkhausen noise profile," IEEE Transactions on Magnetics, Vol. 52, No. 4, 1-13, 2016.
doi:10.1109/TMAG.2015.2502222
7. Abetti, P. A., "Survey and classification of publisled data on the surge performance of transformers and rotating machines," Transactions of the American Institute of Electrical Engineers. Part III: Power Apparatus and Systems, Vol. 77, No. 3, 1403-1413, 1958.
doi:10.1109/AIEEPAS.1958.4500166
8. Lopez, Z. L., P. Gomez, F. P. Espino-Cortes, and R. Pena-Rivero, "Modeling of transformer windings for fast transient studies: Experimental validation and performance comparison," IEEE Transactions on Power Delivery, Vol. 32, No. 4, 1852-1860, 2017.
doi:10.1109/TPWRD.2016.2583379
9. Liu, J. and V. Dinavahi, "Detailed magnetic equivalent circuit based realtime nonlinear power transformer model on FPGA for electromagnetic transient studies," IEEE Transactions on Industrial Electronics, Vol. 63, No. 2, 1191-1202, 2016.
doi:10.1109/TIE.2015.2477487
10. Farhangi, B. and H. A. Toliyat, "Modeling and analyzing multiport isolation transformer capacitive components for onboard vehicular power conditioners," IEEE Transactions on Industrial Electronics, Vol. 62, No. 5, 3134-3142, 2015.
doi:10.1109/TIE.2014.2386800
11. Wang, L., Q. Zhu, W. Yu, and A. Q. Huang, "A medium-voltage medium-frequency isolated dc–dc converter based on 15-kV SiC MOSFETs," IEEE Journal of Emerging and Selected Topics in Power Electronics, Vol. 5, No. 1, 100-109, 2017.
doi:10.1109/JESTPE.2016.2639381
12. Liu, C., L. Qi, X. Cui, and X. Wei, "Experimental extraction of parasitic capacitances for high-frequency transformers," IEEE Transactions on Power Electronics, Vol. 32, No. 6, 4157-4167, 2017.
doi:10.1109/TPEL.2016.2597498
13. Panczyk, M. and J. Sikora, "A new imaging algorithm for electric capacitance tomography," Prace Instytutu Elektrotechniki, Vol. LXIII, No. 274, 27-41, 2016.
doi:10.5604/01.3001.0009.4405
14. Liu, X., Y. Wang, J. Zhu, Y. Guo, G. Lei, and C. Liu, "Calculation of capacitance in high-frequency transformer windings," IEEE Transactions on Magnetics, Vol. 52, No. 7, 1-4, 2016.
15. Massarini, A. and M. K. Kazimierczuk, "Self-capacitance of inductors," IEEE Transactions on Power Electronics, Vol. 12, No. 4, 671-676, 1997.
doi:10.1109/63.602562
16. Liu, C., L. Qi, X. Cui, and X. Wei, "Experimental extraction of parasitic capacitances for high-frequency transformers," IEEE Transactions on Power Electronics, Vol. 32, No. 6, 4157-4167, 2017.
doi:10.1109/TPEL.2016.2597498
17. Chagas, N. B. and T. B. Marchesan, "Analytical calculation of static capacitance for high-frequency inductors and transformers," IEEE Transactions on Power Electronics, Vol. 34, No. 2, 1672-1682, 2019.
doi:10.1109/TPEL.2018.2829716
18. Dalessandro, L., F. D. S. Cavalcante, and J. W. Kolar, "Self-capacitance of high-voltage transformers," IEEE Transactions on Power Electronics, Vol. 22, No. 5, 2081-2092, 2007.
doi:10.1109/TPEL.2007.904252
19. Massarini, A. and M. K. Kazimierczuk, "Self-capacitance of inductors," IEEE Transactions on Power Electronics, Vol. 12, No. 4, 671-676, 1997.
doi:10.1109/63.602562
20. Liu, X., Y. Wang, J. Zhu, Y. Guo, G. Lei, and C. Liu, "Calculation of capacitance in high-frequency transformer windings," IEEE Transactions on Magnetics, Vol. 52, No. 7, 1-4, 2016.
21. Wu, B., X. Zhang, X. Liu, and C. He, "An analytical model for predicting the self-capacitance of multi-layer circular-section induction coils," IEEE Transactions on Magnetics, Vol. 54, No. 5, 1-7, 2018.
doi:10.1109/TMAG.2018.2803771
22. RamRakhyani, A. K., S. Mirabbasi, and M. Chiao, "Design and optimization of resonance-based efficient wireless power delivery systems for biomedical implants," IEEE Transactions on Biomedical Circuits and Systems, Vol. 5, No. 1, 48-63, 2011.
doi:10.1109/TBCAS.2010.2072782
Submit
