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.


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