Modeling of a Transfer Function for Frequency Controlled Resonant Inverters

  • Han, Mu-Ho (Dept. of Mechanical & Electrical Engineering Research, RIST) ;
  • Lee, Chi-Hwan (Dept. of Electronics Eng., Uiduk University) ;
  • Kwon, Woo-Hyun (Dept. of Electrical Engineering and Computer Science, Kyungpook National University)
  • Published : 2009.06.20


A linear transfer function for the output current control of frequency-controlled resonant inverters is proposed in this paper. The circuit of resonant inverters can be transformed into two coupled circuits through the complex phasor transform. The circuits consist of cross-coupled power sources and passive elements. The circuits are used to induce the state space equation, which is transformed into the $4^{th}$ order cross-coupled transfer function. The $4^{th}$ order cross-coupled transfer function is modeled into a $2^{nd}$ order linear transfer function based on a behavior analysis of the pole and zero locations that facilitate a simple and intuitive linear transfer function. The feasibility and validity of the proposed linear transfer function were verified by simulation and experiment.


  1. S. Ben-Yaakov, M. Shvartsas, and S. Glozman, "Statics and dynamics of fluorescent lamps operating at high frequency: Modeling and simulation," in Proc. of JEEE APEC'99, pp. 467-472, 1999
  2. A. F. Witulski and R. W. Erickson, "Small signal ac equivalent circuit modeling of the series resonant converter," in Proc. of IEEE PESC'87, pp. 693-704, 1987
  3. E. Deng, "Negative Incremental Impedance of Fluorescent Lamp," Ph.D. Thesis, California Institute of Technology, Pasadena, 1995
  4. R.L. Steigerwald, "High-frequency resonant transistor DC-DC Converters," IEEE Trans. Ind. Electron., Vol. IE-31, pp. 182-190, 1984
  5. E. Deng and S. Cuk, "Negative incremental impedance and stability of fluorescent lamp," in Proc. of IEEE APEC'97, pp. 1050-1056, 1997
  6. C. T. Rim and G. H. Cho, "Phasor transformation and its application to the DC/AC analyzes of frequency phase-controlled series resonant converter(SCR)," IEEETrans. Power Electron., Vol. 5, pp. 201-211,1990
  7. I.J. Pitel, "Phase-modulated resonant power conversion techniques for high-frequency link inverters," IEEE Trans. lnd. Appl., Vol. IA-22, No.6, pp. 1044-1051, 1986
  8. Y. Yin, R. Zane, R. Erickson, and J. Glaser, "Dynamic analysis of frequency-controlled electronic ballasts," in Conf Rec. IEEE lnd. Appl. 3th lAS annual meeting, pp. 685-691,2002
  9. S. Ben-Yaakov, S. Glozman, and R. Rabinovici, "Envelope Simulation by SPICE-Compatible Models of Linear Electric Circuits Driven by Modulated Signals," IEEE Trans. Indus. Appli., Vol. 37 No.2, pp.527-533, 2001
  10. Zhongming Ye, Praveen K.jain and Paresh C. Sen, "Modeling of High Frequency Resonant Inverter System in Phasor Domain for Fast Simulation and Control Design," in Proc. of IEEE PESC'08, pp. 2090-2096, 2008
  11. B.C. Pollard and R.M. Nelms, "Using the series parallel resonant converter in capacitor charging applications," in Proc. of lEEE APEC'92, pp. 731-737,1992
  12. E.X. Yang, F.C. Lee, and M.M. Jovanovic, "Small-signal modeling of series and parallel resonant converters," in Proc. of IEEE APEC'92, pp. 785-792,1992
  13. V. Vorperian, "Approximate small-signal analysis of the series and the parallel resonant converters," IEEE Trans, On Power Electronics, Vol. 4, pp. 15-24, 1989