Simulation Analysis of Influencing Factors for Resonant Frequency of PCB Coil Based on HFSS

  • Haokun ChiEmail author
  • Zhiqiang Wei
  • Yanping Cong
  • Bo Yin
  • Feixiang Gong
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 691)


In recent years, the application of implantable medical devices has become increasingly popular, and its power supply problem has become a hot research, and the problem of its energy supply is also a research hot topic. The PCB (printed circuit board) coils can be used to achieve cascading and stacking between adjacent layers in very small volumes, so they are very suitable for implantable applications.

In this paper, the resonant frequency and inductance of the PCB coil with specific shape are theoretical analyzed. The influence of line width, pitch, and turns on the resonant frequency of the coil is studied through the HFSS simulation results. Finally, we use the resonant frequency as the dependent variable, the linewidth and spacing as the independent variables for multiple nonlinear fitting on MATLAB, and the results show that the fitting effect is ideal.


Resonant frequency PCB coil HFSS 



This paper received funding from Qingdao innovation and entrepreneurship leading talent project (13-cx-2), Qingdao national laboratory for marine science and technology Aoshan science and technology innovation project (2016ASKJ07) and China International Scientific and Technological Cooperation Special (2013DFA10490).


  1. 1.
    Kurs, A., Karalis, A., Moffatt, R., et al.: Wireless power transfer via strongly coupled magnetic resonances. Science 317(5834), 83–86 (2007)CrossRefMathSciNetGoogle Scholar
  2. 2.
    Amato, M., Dalena, F., Coviello, C., et al.: Modeling, fabrication and characterization of micro-coils as magnetic inductors for wireless power transfer. Microelectron. Eng. 111(1), 143–148 (2013)CrossRefGoogle Scholar
  3. 3.
    Ellstein, D., Wang, B., Teo, K.H.: Accurate models for spiral resonators. In: Radar Conference, pp. 461–464 (2012)Google Scholar
  4. 4.
    Sonntag, C., Lomonova, E.A., Duarte, J.L.: Implementation of the Neumann formula for calculating the mutual inductance between planar PCB inductors. In: International Conference on Electrical Machines, pp. 1–6. IEEE (2008)Google Scholar
  5. 5.
    Meyer, P., Perriard, Y.: Skin and proximity effects for coreless transformers, pp. 1–5 (2011)Google Scholar
  6. 6.
    Liu, J.Q., Wang, L., Pu, Y.Q., et al.: A magnetically resonant coupling system for wireless power transmission. In: International Symposium on Antennas, Propagation & Em Theory, pp. 1205–1209 (2012)Google Scholar
  7. 7.
    Gao, J., Yan, G., Wang, Z., et al.: A capsule robot powered by wireless power transmission: design of its receiving coil. Sens. Actuators A 234, 133–142 (2015)CrossRefGoogle Scholar
  8. 8.
    Mutashar, S., Hannan, M.A., Samad, S.A., et al.: Analysis and optimization of spiral circular inductive coupling link for bio-implanted applications on air and within human tissue. Sensors 14(7), 11522–11541 (2014)CrossRefGoogle Scholar
  9. 9.
    Kong, S., Kim, J.J., Park, L. et al.: Near-field intensity prediction model at maximum transferred power frequency in mutual-coupled rectangular coils for WPT system. In: Symposium on Electromagnetic Compatibility, pp. 45–48. IEEE (2012)Google Scholar
  10. 10.
    Peters, C., Manoli, Y.: Inductance calculation of planar multi-layer and multi-wire coils: an analytical approach. Sens. Actuators A s145–s146(1), 394–404 (2008)CrossRefGoogle Scholar
  11. 11.
    Tang, S.C., Hui, S.Y.R., Chung, H.: Characterization of coreless printed circuit board (PCB) transformers. In: Power Electronics Specialists Conference, Pesc 1999, vol. 2, pp. 746–752. IEEE (1999)Google Scholar
  12. 12.
    Lee, K.H., Jun, B.O., Kim, S., et al.: A study on geometry effect of transmission coil for micro size magnetic induction coil. Solid-State Electron. 119, 45–49 (2016)CrossRefGoogle Scholar
  13. 13.
    Tavakkoli, H., Abbaspour-Sani, E., Khalilzadegan, A., et al.: Analytical study of mutual inductance of hexagonal and octagonal spiral planer coils. Sens. Actuators A 247, 53–64 (2016)CrossRefGoogle Scholar
  14. 14.
    Stęplewski, W., Dziedzic, A., Kłossowicz, A., et al.: Reactance components embedded in printed circuit boards. Circ. World 41(3), 125–132 (2015)CrossRefGoogle Scholar
  15. 15.
    Tao, T., Zhao, Z., Ma, W., et al.: Design of PCB Rogowski coil and analysis of anti-interference property. IEEE Trans. Electromagn. Compat. 58(2), 344–355 (2016)CrossRefGoogle Scholar
  16. 16.
    Ho, G.K.Y., Zhang, C., Pong, B.M.H., et al.: Modeling and analysis of the bendable transformer. IEEE Trans. Power Electron. 31(9), 6450–6460 (2016)CrossRefGoogle Scholar
  17. 17.
    Lope, I., Carretero, C., Acero, J., et al.: Frequency-dependent resistance of planar coils in printed circuit board with Litz structure. IEEE Trans. Magn. 50(12), 1–9 (2014)CrossRefGoogle Scholar
  18. 18.
    Greenhouse, H.M.: Design of planar rectangular microelectronic inductors. IEEE Trans. Parts Hybrid Packag. PHP-10(2), 101–109 (1974)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Haokun Chi
    • 1
    Email author
  • Zhiqiang Wei
    • 1
  • Yanping Cong
    • 1
  • Bo Yin
    • 1
  • Feixiang Gong
    • 1
  1. 1.College of Information ScienceThe Ocean University of ChinaQingdaoPeople’s Republic of China

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