Small-signal input impedance modeling of line-frequency rectifiers

This paper presents a systematic method for modeling small-signal input impedance of line-frequency AC-DC converters. The objective is to develop proper models that can be used for stability analysis of AC power systems with significant DC loads powered by such converters. The proposed modeling method uses harmonic linearization and Fourier analysis techniques to describe the current and voltage mapping process through the converter switching circuit. The voltage and current mapping relations are then combined to give an impedance mapping model which converts the impedance of any circuit or system connected to the DC output of converter into a corresponding small-signal input impedance of the converter at the AC side. Similar relations can be used to map the AC source impedance into the DC side to give the equivalent dc source impedance for stability analysis of the DC subsystem. This paper focuses on the basic principle of the impedance mapping method and uses a single-phase diode rectifier circuit to demonstrate the modeling process. The resulting ac input impedance model is validated by detailed circuit simulation as well as experimental measurements.

[1]  Jian Sun.  Input impedance analysis of single-phase PFC converters , 2005, IEEE Transactions on Power Electronics.

[2]  S. D. Sudhoff,et al.  Analysis and average-value modeling of an inductorless synchronous machine load commutated converter system , 1999 .

[3]  Keith Corzine,et al.  Transient and dynamic average-value modeling of synchronous machine fed load-commutated converters , 1996 .

[4]  A. Willsky,et al.  Signals and Systems , 2004 .

[5]  D. Boroyevich,et al.  Assessment of multipulse converter average models for stability studies using a quasistationary small-signal technique , 2004, The 4th International Power Electronics and Motion Control Conference, 2004. IPEMC 2004..

[6]  F.C. Lee,et al.  The multi-frequency small-signal model for buck and multiphase interleaving buck converters , 2005, Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005..

[7]  Neville R. Watson,et al.  Power System Harmonic Analysis: Arrillaga/Power System Harmonic Analysis , 1997 .

[8]  J. Sun,et al.  Double-Integral Fourier Analysis of Interleaved Pulse Width Modulation , 2006, 2006 IEEE Workshops on Computers in Power Electronics.

[9]  M. Belkhayat,et al.  Stability criteria for AC power systems with regulated loads , 1997 .

[10]  Min Chen,et al.  Low-Frequency Input Impedance Modeling of Boost Single-Phase PFC Converters , 2007, IEEE Transactions on Power Electronics.

[11]  D MiddlebrookR,et al.  Predicting modulator phase lag in PWM converter feedback loops. , 1981 .

[12]  J. Arrillaga.  Power System Harmonic Analysis , 1997 .

[13]  Jian Sun,et al.  Low-Frequency Input Impedance Models for Boost Single-Phase PFC Converters , 2005, 2005 IEEE 36th Power Electronics Specialists Conference.

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

[15]  Daniel Mitchell,et al.  Pulsewidth modulator phase shift , 1980, IEEE Transactions on Aerospace and Electronic Systems.