Skip to main content
Log in

Accurate harmonic analysis of dual-frequency inverter considering dead-time effect

  • Original Article
  • Published:
Journal of Power Electronics Aims and scope Submit manuscript

Abstract

Wireless power transfer (WPT) systems or simultaneous wireless information and power transfer (SWIPT) systems support multiple charging frequency standards and usually transmit two or more frequencies simultaneously. Multi-frequency sinusoidal pulse width modulation (MF-SPWM) technology can output multiple sine wave frequencies at the same time with only one inverter, which effectively reduces the system size and improves compatibility. However, MF-SPWM and dead-time make the MF-inverter highly nonlinearized, with significant effects on the desired frequencies and the total harmonic distortion (THD) of the multi-frequency output. In this paper, a double Fourier series-based method of harmonic analysis for the dual-frequency inverter (DF-inverter) is proposed, which can accurately calculate the magnitude of each of the harmonics in the output of the DF-inverter taking into account the influence of dead-time. The calculation methods of the minimum pulse width and voltage THD of the DF-inverter are provided. An analysis shows that when the dead-time is less than the minimum pulse width, its influence is negligible. Meanwhile, when the dead-time is slightly larger than the minimum pulse width, there is a trade-off between the desired frequency component and the THD. Experimental results are given and they are consistent with the analytical results of the proposed method, and the error is within 2%.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Algorithm 1
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  1. Patil, D., Mcdonough, M.K., Miller, J.M., Fahimi, B., Balsara, P.T.: Wireless power transfer for vehicular applications: overview and challenges. IEEE Trans. Transp. Electrif. 4(1), 3–37 (2018)

    Article  Google Scholar 

  2. Liao, Z.J., Feng, Q.K., Jiang, C.H., Wu, F., Xia, C.Y.: Analysis and design of EIT-like magnetic coupling wireless power transfer systems. IEEE Trans. Circuits Syst. I Regul. Pap. 68(7), 3103–3113 (2018)

    Article  Google Scholar 

  3. Wang, C.F., Wang, J.Y.: A hybrid LCC-SP compensation network with adjustable impedance angle used for single-stage wireless power transfer. IEEE Trans. Transp. Electrif. 9(2), 3452–3463 (2023)

    Article  Google Scholar 

  4. Li, J., Yin, F., Wang, L.: Transmission efficiency of different shielding structures in wireless power transfer systems for electric vehicles. CSEE J. Power Energy Syst. 7(6), 1247–1255 (2021)

    Google Scholar 

  5. Chen, Y., Zhang, Z.H., Yang, B., Zhang, B.S., Fu, L., He, Z.Y., Mai, R.K.: A clamp circuit-based inductive power transfer system with reconfigurable rectifier tolerating extensive coupling variations. IEEE Trans. Power Electron. 39(2), 1942–1946 (2024)

    Article  Google Scholar 

  6. A4WP Wireless Power Transfer System Baseline System Specification, BSS Standard A4WP-S-0001 v1.2, Jan. 2014. Accessed Jan 2014. [Online]. Available: https://airfuel.org

  7. PMA Inductive Wireless Power and Charging Transmitter Specification System Release 1, Standard PMA-TS-003–0 V1.00, Mar. 2014. Accessed Mar 2014. [Online]. Available: https:// www.powermat.com

  8. The Qi Wireless Power Transfer System Power Class 0 Specification, Part 4: Reference Designs, Wireless Power Consortium, Version 1.2.3. Accessed Feb 2017. [Online]. Available: https://www.wireless powerconsortium.com

  9. Wireless Power Transfer for Light-Duty Plug-in / Electric Vehicles and Alignment Methodology J2954 \_202208. [Online]. Available: https://www.sae.org/ standards/content/ j2954\_202208

  10. Wu, J., Feng, K., Jin, N., Liang, Y., Zhang, J.T., et al.: A simultaneous wireless information and power transfer system with independent channel for information transfer. IEEE Access. 8, 125610–125619 (2020)

    Article  Google Scholar 

  11. Choi, K.W., Hwang, S.I., Aziz, A.A., Jang, H.H., Kim, D.I.: Simultaneous wireless information and power transfer (SWIPT) for internet of things: novel receiver design and experimental validation. IEEE Internet Things J. 7(4), 2996–3012 (2020)

    Article  Google Scholar 

  12. Sun, Y.S., Li, Y.G., Wu, J., Gao, P.F., Jin, N., et al.: Bidirectional simultaneous wireless information and power transfer via sharing inductive link and single switch in the secondary side. IEEE Access. 8, 184187–184198 (2020)

    Article  Google Scholar 

  13. Mei, T., Zhang, X., Liu, F., Chen, X., Kennel, R.M.: Multi-frequency phase-shifted angle control strategy for a two-phase MCR WPT system with multiple loads to achieve targeted power distribution and stable transmission power. Proc. IEEE Appl. Power Electron. Conf. Expo., 3117–3122 (2019)

  14. Qi, C., Huang, S., Chen, X.: Individual output voltage regulation method of multifrequency multireceiver simultaneous WPT systems with a single inverter. IEEE J. Emerg. Sel. Top. Power Electron. 11(1), 1245–1261 (2022)

    Article  Google Scholar 

  15. Agelidis, V.G., Balouktsis, A., Balouktsis, I., Cossar, C.: Multiple sets of solutions for harmonic elimination PWM bipolar waveforms analysis and experimental verification. IEEE Trans. Power Electron. 21(2), 415–421 (2006)

    Article  Google Scholar 

  16. Chen, X., Han, Z., Liu, F.: Selected harmonic elimination-derived multi-frequency pulse width modulation control strategy for multi-load MCR WPT system with single transmitting coil. IET Power Electron. 13(17), 3871–3879 (2020)

    Article  Google Scholar 

  17. Gao, P., Wang, W., Wu, J.: A scheme of motor drive and control based on simultaneous wireless information and power transfer with tapped coil. Int. J. Appl. Electromagn. Mech. 69(4), 479–499 (2022)

    Article  Google Scholar 

  18. Jiao, N., Wang, S., Liu, T., Wang, Y., Chen, Z.: Harmonic quantitative analysis for dead-time effects in SPWM inverters. IEEE Access. 7, 43143–43152 (2019)

    Article  Google Scholar 

  19. Ye, J., Huang, S.T., Liu, L.G., Li, L.X., Xu, J.B., Shen, A.W.: Accurate harmonic calculation for digital SPWM of VSI with dead-time effect. IEEE Trans. Power Electron. 36(7), 7892–7902 (2021)

    Article  Google Scholar 

  20. Xu, X.H., Song, X.C., Wang, K., Liu, N.Z., Long, W.F., et al.: Modulation and voltage balancing control of dual five-level ANPC inverter for ship electric propulsion systems. Chin. J. Electr. Eng. 7(4), 78–92 (2021)

    Article  Google Scholar 

  21. Wu, J., Bie, L.Z., Jin, N., Zhang, J.T., Tao, J.G.: Dual-frequency output of wireless power transfer system with single inverter using improved differential evolution algorithm. Energies 13(9), 2209 (2020)

    Article  Google Scholar 

  22. Zhao, C.W., Costinett, D.: GaN-based dual-mode wireless power transfer using multifrequency programmed pulse width modulation. IEEE Trans. Ind. Electron. 64(11), 9165–9176 (2017)

    Article  Google Scholar 

  23. Odavic, M., Sumner, M., Zanchetta, P., Clare, J.C.: A theoretical analysis of the harmonic content of PWM waveforms for multiple-frequency modulators. IEEE Trans. Power Electr. 25(1), 131–141 (2010)

    Article  Google Scholar 

  24. Wu, J., Bie, L.Z., Kong, W.H., Gao, P.F., Wang, Y.F.: Multi-frequency multi-amplitude superposition modulation method with phase shift optimization for single inverter of wireless power transfer system. IEEE Trans. Circuits Syst. I Regul. Pap. 68(5), 2271–2279 (2021)

    Article  Google Scholar 

  25. Zhang, Y., Pei, X., Li, Z., Zhou, P.: Short-circuit current limiting control strategy for single-phase inverter based on adaptive reference feedforward and third harmonic elimination. IEEE Trans. Power Electr. 37(5), 5320–5332 (2022)

    Article  Google Scholar 

  26. Park, C.S., Jung, T.U.: Online dead time effect compensation algorithm of PWM inverter for motor drive using PR controller. J. Electr. Eng. Technol. 12(3), 1137–1145 (2017)

    Article  Google Scholar 

  27. Li, Y., Zhang, Z., Li, K., Zhang, P., Gao, F.: Predictive current control for voltage source inverters considering dead-time effect. CES Trans. Electr. Mach. Syst. 4(1), 35–42 (2020)

    Article  Google Scholar 

  28. Jeong, W.S., Kim, S.H., Yi, J., Won, C.Y.: Finite control set model predictive control of H8 inverter considering dead-time effect for PMSM drive systems with reduced conducted common-mode EMI and current distortions. IEEE Trans. Power Electron. 37(5), 5342–5356 (2022)

    Article  Google Scholar 

  29. Qi, Y., Fang, J., Liu, J., Tang, Y.: Coordinated control for harmonic mitigation of parallel voltage-source inverters. CES Trans. Elect. Mach. Syst. 2(3), 276–283 (2018)

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported in part by the Natural Science Foundation of Henan Province under Grant 232300420092, in part by the Scientific and Technological Program of Henan Province under Grant 232102240051, and in part by the International Scientific and Technological Cooperation Projects in Henan Province under Grant 232102520003 and 242102521038.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jie Wu.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wu, J., Yang, Z., Wang, W. et al. Accurate harmonic analysis of dual-frequency inverter considering dead-time effect. J. Power Electron. (2024). https://doi.org/10.1007/s43236-024-00795-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s43236-024-00795-4

Keywords

Navigation