Dynamic model of the three-phase single-stage boost inverter for grid-connected applications

In this paper, the state-space-averaging method is used to develop the dynamic model of a grid-connected three-phase single-stage boost inverter in a synchronous frame of reference. The case study single-stage inverter has a current source topology, associated with a modified space-vector pulse-width-modulated switching pattern. In the proposed method, the state-space equations of the system in dq-frame of reference are derived and averaged over a switching cycle. Then, the perturbation and linearization technique is applied to derive the small-signal model of the system. The developed model can be used as a tool mainly for the stability and control studies of the grid-connected single-stage boost inverter. The validity of the obtained state-space-averaged model is verified through experiments.

[1]  K. Ngo Low-frequency characterization of PWM converters , 1985, 1985 IEEE Power Electronics Specialists Conference.

[2]  Slobodan Cuk,et al.  A general unified approach to modelling switching-converter power stages , 1977 .

[3]  Philip T. Krein,et al.  On the use of averaging for the analysis of power electronic systems , 1989 .

[4]  B Mirafzal,et al.  An SVPWM-Based Switching Pattern for Stand-Alone and Grid-Connected Three-Phase Single-Stage Boost Inverters , 2011, IEEE Transactions on Power Electronics.

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

[6]  Fred C. Lee,et al.  A state-space model for the comprehensive dynamic analysis of three-level voltage-source inverters , 1997, PESC97. Record 28th Annual IEEE Power Electronics Specialists Conference. Formerly Power Conditioning Specialists Conference 1970-71. Power Processing and Electronic Specialists Conference 1972.

[7]  Scott D. Sudhoff,et al.  Analysis of Electric Machinery and Drive Systems , 1995 .

[8]  Khai D. T. Ngo,et al.  Low Frequency Characterization of PWM Converters , 1986, IEEE Transactions on Power Electronics.

[9]  Kang Yen,et al.  Dynamic model of three-phase current source boost inverter for stand-alone applications , 2012, 2012 Twenty-Seventh Annual IEEE Applied Power Electronics Conference and Exposition (APEC).

[10]  G. H. Riahy,et al.  Optimal design of a reliable hydrogen-based stand-alone wind/PV generating system, considering component outages , 2009 .

[11]  D. Boroyevich,et al.  Small-signal modeling and control of three-phase PWM converters , 1994, Proceedings of 1994 IEEE Industry Applications Society Annual Meeting.

[12]  D. Boroyevich,et al.  Small-signal modeling of three-phase PWM modulators , 1996, PESC Record. 27th Annual IEEE Power Electronics Specialists Conference.

[13]  F. Verhulst,et al.  Averaging Methods in Nonlinear Dynamical Systems , 1985 .

[14]  R. M. Bass,et al.  On the use of averaging for the analysis of power electronic systems , 1989, 20th Annual IEEE Power Electronics Specialists Conference.