Small-Signal Modeling and control of Three-Phase Bridge Boost Rectifiers under Non-Sinusoidal Conditions

다국어 초록 (Multilingual Abstract)

This paper proposes a systematic approach to the modeling of the small-signal characteristics of three-phase bridge boost rectifiers under non-simusoidal conditions. The main obstacle to the conventional synchronous d-q frame modeling approach is that it is unable to identify a steady-state under non-sinusoidal conditions. However, for most applications under non-sinusoidal conditions, the current loops of boost rectifiers are designed to have a bandwidth that is much higher than typical harmonics frequencies in order to achieve good current control for these harmonic components. Therefore a quasi-static method is applied to the proposed modeling approach. The converter small-signal characteristics developed from conventional synchronous frame modeling under different operating points are investigated and a worst case point is then located for the current loop design. Both qualitative and quantitative analyses are presented. It is observed that operating points influence the converter low frequency characteristics but hardly affect the dominant poles. The relationship between power stage parameters, system poles and zeroes is also presented which offers good support for the system design. Both the simulation and experimental results verified the analysis and proposed modeling approach. Finally, the practical case of a parallel active power filter is studied to present the modeling approach and the resultant regulator design procedure. The system performance further verifies the whole analysis.

목차 (Table of Contents)

• ABSTRACT
• 1. Introduction
• 2. Synchronous-Frame Small-Signal Model of Conventional PWM Converter
• 3. Problem Statement and Relevant Quasi-Static Modeling Method
• 4. Influence of the Operating Points And system Parameters On System Characteristics
• 5. Simulation
• 6. Experimental Verification
• 7. Regulator Design Procedure
• 8. Conclusions
• References

참고문헌 (Reference)

1 C. T. Rim, "Transformers as equivalent circuits for switches: General proofs and D-Q transformation-based analyses" 26 (26): 777-785, 1990

2 S. Hiti, "Small-signal modeling and control of three-phase PWM converters" 1143-1150, 1994

3 V. Vorperian, "Simplify PWM converter analysis using a PWM switch model" 16 (16): 8-11, 1990

4 Wu, J.-C., "Simplified control method for the single-phase active power filter" 143 (143): 219-224, 1996

5 Y.Jiang, "Simple high performance three-phase boost rectifiers" 1158-1164, 1994

6 M. Hengchun, "Novel reduced-order small-signal model of a three-phase PWM rectifier and its application in control design and system analysis" 13 (13): 511-521, 1998

7 Akagi, H., "New trends in active filters for power conditioning" 32 (32): 1312-1322, 1996

8 Y. Yang, "Modeling, control and implementation of three-phase PWM converters" 18 (18): 857-864, 2003

9 Byungcho Choi, "Modeling and small-signal analysis of controlled on-time boost power-factor-correction circuit" 48 (48): 136-142, 2001

10 Uan-Zo-li, A., "Modeling and control of single-stage voltage-source and current-source PFC converters" 1778-1783, 2004

11 G. W. Wester, "Low-Frequency Characterization of Switched dc-dc Converters" AES-9 (AES-9): 376-385, 1973

12 Jian Sun, "Input impedance analysis of single-phase PFC converters" 20 (20): 308-314, 2005

13 V. Vorperian, "Equivalent circuit models for resonant and PWM switches" 205-214, 1989

14 S.Hiti, "Control of front-end three-phase three-phase boost rectifier" 927-933, 1994

15 Casadei, D., "Control methods for active power filters with minimum measurement requirements" 1153-1158, 1999

16 P. Jintakosonwit, "Control and performance of a fully-digital-controlled shunt active filter for installation on a power distribution system" 17 (17): 132-140, 2002

17 S.Hiti, "Average curent control of three-phase PWM boost rectifier" 131-137, 1995

18 R.Wu, "Analysis of an ac-to-dc voltage source converter using PWM with phase and amplitude control" 27 : 355-364, 1991

19 K. Chatterjee, "An instantaneous reactive volt-ampere compensator and harmonic suppressor system" 14 (14): 381-392, 1999

20 Akagi, H., "Active harmonic filters" 93 (93): 2128-2141, 2005

21 R. D. Middlebrook, "A general unified approach to modeling switching converter stages" 18-34, 1976

22 S. K. Jain, "A control algorithm for compensation of customer-generated harmonics and reactive power" 19 (19): 357-366, 2004

23 A.W.Green, "3-phase voltage sourced reversible rectifier" 6 (6): 362-370, 1998