Your browser does not support JavaScript!
http://iet.metastore.ingenta.com
1887

access icon free Analytical calculations of self- and mutual inductances for rectangular coils with lateral misalignment in IPT

© The Institution of Engineering and Technology
Received 10/07/2019, Accepted 02/10/2019, Revised 14/09/2019, Published 02/10/2019

Rectangular coils are widely used in inductive power transfer (IPT), and the self- and mutual inductances of them are key system parameters. However, the study of the rectangular coil is not enough. In this study, a series of unified analytical formulae for the self- and mutual inductance calculations of a variety of rectangular coils including filamentary coils, pancake coils and thin- or thick-walled solenoids are presented. Various positions of the rectangular coils above are discussed, and the mutual inductance formulae in the case of co-axis, co-plane, misalignment and even overlapping are given. Finally, the experimental measurements are carried out on various types of rectangular coils. The experimental results agree well with the calculated ones, which indicate the effectiveness of the proposed method. Therefore, this study provides an interesting tool for designing the transceiver of rectangular coils in IPT system.

Inspec keywords: inductance measurement; coils; inductive power transmission

Other keywords: inductive power transfer; filamentary coils; pancake coils; thin-walled solenoids; thick-walled solenoids; IPT system; rectangular coil; mutual inductance calculations

Subjects: Impedance and admittance measurement; Electrical instruments and techniques; Wireless power transmission; Inductors and transformers

References

    1. 1)
      • 13. Babic, S., Sirois, F., Akyel, C., et al: ‘New formulas for mutual inductance and axial magnetic force between a thin wall solenoid and a thick circular coil of rectangular cross-section (vol 47, Pg 2034, 2011)’, IEEE Trans. Magn., 2012, 48, (6), p. 2096.
    2. 2)
      • 10. Babic, S.I., Akyel, C.: ‘New analytic-numerical solutions for the mutual inductance of two coaxial circular coils with rectangular cross-section in air’, IEEE Trans. Magn., 2006, 42, (6), pp. 1661–1669.
    3. 3)
      • 22. Conway, J.T.: ‘Exact solutions for the mutual inductance of circular coils and elliptic coils’, IEEE Trans. Magn., 2012, 48, (1), pp. 81–94.
    4. 4)
      • 21. Amos, A.O., Ykandar, H., Yasser, A., et al: ‘Computation of the mutual inductance between circular filaments with coil misalignment’. African Conf., Pointe-Aux-Piments, Mauritius, September 2013, pp. 75–79.
    5. 5)
      • 26. Babic, L., Dadic, M.: ‘A quasi-Monte Carlo solution for the mutual inductance of misaligned circular coils’. Sensors & their Applications XVII, Dubrovnik, Croatia, September 2013.
    6. 6)
      • 18. Pankrac, V.: ‘Generalization of relations for calculating the mutual inductance of coaxial coils in terms of their applicability to non-coaxial coils’, IEEE Trans. Magn., 2011, 47, (11), pp. 4552–4563.
    7. 7)
      • 9. Zhang, Y., Wang, L.F., Guo, Y.J., et al: ‘Optimisation of planar rectangular coil achieving uniform magnetic field distribution for EV wireless charging based on genetic algorithm’, IET Power Electron., 2019, 12, (10), pp. 2706–2712.
    8. 8)
      • 28. Raju, S., Wu, R.X., Chan, M.S., et al: ‘Modeling of mutual coupling between planar inductors in wireless power applications’, IEEE Trans. Power Electron., 2014, 29, (1), pp. 481–490.
    9. 9)
      • 12. Babic, S.I., Akyel, C., Sirois, F., et al: ‘Calculation of the mutual inductance and the magnetic force between a thick circular coil of the rectangular cross-section and a thin wall solenoid (integrodifferential approach)’, Prog. Electromagn. Res. B, 2011, 33, (33), pp. 221–237.
    10. 10)
      • 27. Cheng, Y.H., Shu, Y.M.: ‘A new analytical calculation of the mutual inductance of the coaxial spiral rectangular coils’, IEEE Trans. Magn., 2014, 50, (4), pp. 1–6.
    11. 11)
      • 1. Kiani, M., Kwon, K.Y., Zhang, F., et al: ‘Evaluation of a closed-loop inductive power transmission system on an awake behaving animal subject’. 2011 Annual Int. Conf. IEEE Engineering in Medicine and Biology Society, Boston, USA, September 2011, pp. 7658–7661.
    12. 12)
      • 4. Moulder, J.E., Foster, K.R., Erdreich, L.S., et al: ‘Mobile phones, mobile phone base stations and cancer: a review’, Int. J. Radiat. Biol., 2005, 81, (3), pp. 189–203.
    13. 13)
      • 15. Acero, J., Carretero, C., Lope, I., et al: ‘Analysis of the mutual inductance of planar-lumped inductive power transfer systems’, IEEE Trans. Ind. Electron., 2013, 60, (1), pp. 410–420.
    14. 14)
      • 36. Theodoulidis, T.P., Kriezis, E.E.: ‘Impedance evaluation of rectangular coils for eddy current testing of planar media’, NDT&E Int., 2002, 35, (6), pp. 407–414.
    15. 15)
      • 25. Conway, J.T.: ‘Analytical solutions for the self- and mutual inductances of concentric coplanar disk coils’, IEEE Trans. Magn., 2013, 49, (3), pp. 1135–1142.
    16. 16)
      • 16. Babic, S., Akyel, C.: ‘New formulas for mutual inductance and axial magnetic force between magnetically coupled coils: thick circular coil of the rectangular cross-section-thin disk coil (pancake)’, IEEE Trans. Magn., 2013, 49, (2), pp. 860–868.
    17. 17)
      • 35. Sallan, J., Villa, J.L., Llombart, A., et al: ‘Optimal design of ICPT systems applied to electric vehicle battery charge’, IEEE Trans. Ind. Electron., 2009, 56, (6), pp. 2140–2149.
    18. 18)
      • 17. Chow, J.P.W., Chung, H.S.H., Cheng, C.S., et al: ‘Online regulation of receiver-side power and estimation of mutual inductance in wireless inductive link based on transmitter-side electrical information’. APEC 2016 31st Annual IEEE Applied Power Electronics Conf. Exposition, Long Beach, USA, May 2016, pp. 1795–1801.
    19. 19)
      • 14. Ren, Y., Wang, F.T., Kuang, G.L., et al: ‘Mutual inductance and force calculations between coaxial bitter coils and superconducting coils with rectangular cross-section’, J. Supercond. Novel Magn., 2011, 24, (5), pp. 1687–1691.
    20. 20)
      • 6. Palagani, Y., Mohanarangam, K., Shim, J.H., et al: ‘Wireless power transfer analysis of circular and spherical coils under misalignment conditions for biomedical implants’, Biosens. Bioelectron., 2019, 141, (15), pp. 2552–2562.
    21. 21)
      • 7. Kim, D.H., Kim, J.W., Park, Y.J.: ‘Optimization and design of small circular coils in a magnetically coupled wireless power transfer system in the megahertz frequency’, IEEE Trans. Microw. Theory Tech., 2006, 42, (8), pp. 1661–1669.
    22. 22)
      • 29. Tavakkoli, H., Abbaspour-Sani, E., Khalilzadegan, A., et al: ‘Analytical study of mutual inductance of hexagonal and octagonal spiral planar coils’, Sens. Actuators A, Phys., 2016, 247, pp. 53–64.
    23. 23)
      • 31. Fotopoulou, K., Flynn, B.W.: ‘Wireless power transfer in loosely coupled links: coil misalignment model’, IEEE Trans. Magn., 2011, 47, (2), pp. 416–430.
    24. 24)
      • 19. Luo, Y.: ‘Mutual inductance for circular coils of rectangular cross-section and parallel axes shielded by two parallel screens of high permeability’, J. Electromagn. Waves Appl., 2014, 28, (18), pp. 2256–2265.
    25. 25)
      • 8. Chow, J.P.W., Chung, H.S.H., Chan, L.L.H., et al: ‘Optimal design and experimental assessment of a wireless power transfer system for home-cage monitoring’, IEEE Trans. Power Electron., 2019, 34, (10), pp. 9779–9793.
    26. 26)
      • 34. Pankrac, V.: ‘The algorithm for calculation of the self- and mutual inductance of thin-walled air coils of general shape with parallel axes’, IEEE Trans. Magn., 2012, 48, (5), pp. 1875–1889.
    27. 27)
      • 24. Anele, A.O., Hamam, Y., Chassagne, L., et al: ‘Evaluation of the magnetic fields and mutual inductance between circular coils arbitrarily positioned in space’. Fourth Int. Conf. Mathematical Modeling in Physical Sciences, Mykonos, Greece, June 2015.
    28. 28)
      • 30. Kim, J.W., Son, H.C., Kim, D.H., et al: ‘Efficiency of magnetic resonance WPT with two off-axis self-resonators’. 2011 IEEE MTT-S Int. Microwave Workshop Series on Innovative Wireless Power Transmission, Kyoto, Japan, May 2011, pp. 127–130.
    29. 29)
      • 3. Yuan, W., Wang, X.Y., Linnartz, J., et al: ‘Coexistence performance of IEEE 802.15.4 wireless sensor networks under IEEE 802.11b/g interference’, Wirel. Pers. Commun., 2013, 68, (2), pp. 281–302.
    30. 30)
      • 20. Esteban, B., Stojakovic, N., Sid-Ahmed, M., et al: ‘Development of mutual inductance formula for misaligned planar circular spiral coils’. 2015 IEEE Energy Conversion Congress and Exposition, Montreal, Canada, September 2015, pp. 1306–1313.
    31. 31)
      • 32. Joy, E.R., Dalal, A., Kumar, P.: ‘Accurate computation of mutual inductance of two air core square coils with lateral and angular misalignments in a flat planar surface’, IEEE Trans. Magn., 2014, 50, (1), pp. 1–9.
    32. 32)
      • 23. Babic, S.I., Akyel, C.: ‘Calculating mutual inductance between circular coils with inclined axes in air’, IEEE Trans. Magn., 2008, 44, (7), pp. 1743–1750.
    33. 33)
      • 5. Hu, Y.M., Sawan, M.: ‘A fully integrated low-power BPSK demodulator for implantable medical devices’, IEEE Trans. Circuits Syst. I, Regul. Pap., 2005, 52, (12), pp. 2552–2562.
    34. 34)
      • 33. Dalal, A., Joy, T., Kumar, P., et al: ‘Mutual inductance computation method for coils of different geometries and misalignments’. 2015 IEEE Power & Energy Society General Meeting, Denver, USA, July 2015, pp. 1–5.
    35. 35)
      • 2. Park, C., Lee, S., Jeong, S.Y., et al: ‘Uniform power I-type inductive power transfer system with DQ-power supply rails for on-line electric vehicles’, IEEE Trans. Power Electron., 2015, 30, (11), pp. 6446–6455.
    36. 36)
      • 11. Hurley, W.G., Duffy, M.C., Zhang, J., et al: ‘A unified approach to the calculation of self- and mutual-inductance for coaxial coils in air’, IEEE Trans. Power Electron., 2015, 30, (11), pp. 6155–6162.
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-pel.2019.0821
Loading

Related content

content/journals/10.1049/iet-pel.2019.0821
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading
Print this page
This is a required field
Please enter a valid email address