Small-signal equivalent circuit model of series resonant converter

A simple third-order equivalent circuit model of series resonant converter (SRC) is proposed in this paper. Up to now, the most successful equivalent circuit model of SRC is based on extended describing function concept, which is proposed by Dr. E. Yang [30]. However, the equivalent circuit is a complicated fifth-order circuit with the cross-coupling effect and no analytical solution is provided for transfer functions. This paper proposes a methodology to simplify the fifth-order equivalent circuit to a third-order equivalent circuit. The equivalent circuit model can predict the dynamic behavior very well when switching frequency is below, close to or above resonant frequency. Furthermore, for the first time, analytical expressions of transfer functions are provided to serve as a useful tool for feedback design. The equivalent circuit model is verified by Simplis simulation and experimental results.

[1]  R.R. Robson,et al.  A 10-kW series resonant converter design, transistor characterization, and base-drive optimization , 1982, 1982 IEEE Power Electronics Specialists conference.

[2]  Gyu-Hyeong Cho,et al.  Phasor transformation and its application to the DC/AC analyses of frequency phase-controlled series resonant converters (SRC) , 1990 .

[3]  Robert W. Erickson,et al.  Small signal equivalent circuit modeling of resonant converters , 1991 .

[4]  Paolo Mattavelli,et al.  Small-Signal Analysis and Optimal Design of External Ramp for Constant On-Time V $^{\bf 2}$ Control With Multilayer Ceramic Caps , 2014, IEEE Transactions on Power Electronics.

[5]  R. D. Middlebrook,et al.  Low-frequency characterization of switched DC-DC converters , 1972 .

[6]  Jian Li,et al.  Modeling of V 2 Current-Mode Control , 2009, APEC 2009.

[7]  Paolo Mattavelli,et al.  Unified Three-Terminal Switch Model for Current Mode Controls , 2012 .

[8]  Fred C. Lee,et al.  Unified equivalent circuit model of V2 control , 2014, 2014 IEEE Applied Power Electronics Conference and Exposition - APEC 2014.

[9]  V. Vorperian Approximate small-signal analysis of the series and the parallel resonant converters , 1989 .

[10]  George C. Verghese,et al.  Sampled-data modeling and digital control of resonant converters , 1988 .

[11]  Paolo Mattavelli,et al.  Small-Signal Analysis and Optimal Design of Constant Frequency $V^{2}$ Control , 2015, IEEE Transactions on Power Electronics.

[12]  Fred C. Lee,et al.  Modeling of V2 Current-Mode Control , 2010, 2009 Twenty-Fourth Annual IEEE Applied Power Electronics Conference and Exposition.

[13]  M. Youn,et al.  A discrete time domain modeling and analysis of controlled series resonant converter , 1991 .

[14]  F. C. Lee,et al.  Small-signal modeling of series and parallel resonant converters , 1992, [Proceedings] APEC '92 Seventh Annual Applied Power Electronics Conference and Exposition.

[15]  V. Vorperian,et al.  Small signal analysis of resonant converters , 1983, 1983 IEEE Power Electronics Specialists Conference.

[16]  Robert W. Erickson,et al.  Small signal ac equivalent circuit modelling of the series resonant converter , 1987, IEEE Power Electronics Specialists Conference.

[17]  F. Schwarz,et al.  A 95-Percent Efficient 1-kW DC Converter with an Internal Frequency of 50 kHz , 1978 .

[18]  R. Robson Advances in series resonant inverter technology and its effect on spacecraft employing electric propulsion , 1982 .

[19]  Eric Xian-Qing Yang,et al.  Extended describing function method for small-signal modeling of resonant and multi-resonant converters , 1994 .

[20]  J. Sun,et al.  Averaged modeling and analysis of resonant converters , 1993, Proceedings of IEEE Power Electronics Specialist Conference - PESC '93.

[21]  J. M. Noworolski,et al.  Generalized averaging method for power conversion circuits , 1990, 21st Annual IEEE Conference on Power Electronics Specialists.

[22]  R. King,et al.  Small-Signal Model for the Series Resonant Converter , 1985, IEEE Transactions on Aerospace and Electronic Systems.

[23]  Fred C. Lee,et al.  Equivalent circuit model of constant on-time current mode control with external ramp compensation , 2014, 2014 IEEE Energy Conversion Congress and Exposition (ECCE).

[24]  Slobodan Cuk,et al.  A general unified approach to modelling switching-converter power stages , 1976, 1970 IEEE Power Electronics Specialists Conference.

[25]  Francisc C. Schwarz,et al.  An improved method of resonant current pulse modulation for power converters , 1976, 1975 IEEE Power Electronics Specialists Conference.

[26]  Jian Li,et al.  New Modeling Approach and Equivalent Circuit Representation for Current-Mode Control , 2010, IEEE Transactions on Power Electronics.

[27]  V. Vorperian Simplified analysis of PWM converters using model of PWM switch. II. Discontinuous conduction mode , 1990 .

[28]  W. Baumann,et al.  Nonlinear modelling of the PWM switch , 1988, PESC '88 Record., 19th Annual IEEE Power Electronics Specialists Conference.