Harmonic Analysis of Three-Phase Diode Bridge Rectifiers Under Unbalanced and Distorted Supply

Developing an effective harmonic power flow tool requires fast and accurate calculations of the harmonics generated by the nonlinear elements. This paper presents a time-domain-based method for obtaining all steady-state characteristic and noncharacteristic harmonics generated by three-phase diode bridge rectifiers, under unbalanced and distorted supply. The developed model is generic and able to address both continuous- and discontinuous-conduction modes with a single formulation. By introducing a virtual resistance on the rectifier's DC side, the model is extended to accommodate any DC-side filter. Further, a unique analytical Jacobian matrix is developed to guarantee a quadratic convergence for the iterative part of the proposed method. The effectiveness of the proposed method for harmonic analysis is confirmed through a comparative evaluation with time-domain simulations using PSCAD/EMTDC.

[1]  T.M. Jahns,et al.  Source current harmonic analysis of adjustable speed drives under input voltage unbalance and sag conditions , 2004, IEEE Transactions on Power Delivery.

[2]  Niancheng Zhou,et al.  Measurement-Based Harmonic Modeling of an Electric Vehicle Charging Station Using a Three-Phase Uncontrolled Rectifier , 2015, IEEE Transactions on Smart Grid.

[3]  M. Grotzbach,et al.  Line current harmonics of VSI-fed adjustable speed drives , 1999, 1999 IEEE Industrial and Commercial Power Systems Technical Conference (Cat. No.99CH36371).

[4]  Jing Yong,et al.  Frequency-domain harmonic matrix model for three-phase diode-bridge rectifier , 2016 .

[5]  P. Lehn,et al.  Harmonic Analysis of a Three-Phase Diode Bridge Rectifier Based on Sampled-Data Model , 2008, IEEE Transactions on Power Delivery.

[6]  Wilsun Xu,et al.  A non-iterative harmonic power flow method for accurate harmonic calculations , 2008, 2008 13th International Conference on Harmonics and Quality of Power.

[7]  Wilsun Xu,et al.  An Analytical Procedure for Calculating Harmonics of Three-Phase Uncontrolled Rectifiers Under Nonideal Conditions , 2015, IEEE Transactions on Power Delivery.

[8]  R. Asensi,et al.  A Contribution Towards a General and Systematic Procedure for Modeling Line Commutated AC/DC Converters in the Harmonic Domain , 2009, IEEE Transactions on Power Delivery.

[9]  Jing Yong,et al.  Modeling of Home Appliances for Power Distribution System Harmonic Analysis , 2010, IEEE Transactions on Power Delivery.

[10]  J. M Varah,et al.  Computational methods in linear algebra , 1984 .

[11]  R. Ridley Second-Stage LC Filter Design , 2001 .

[12]  Leon O. Chua,et al.  Practical Numerical Algorithms for Chaotic Systems , 1989 .

[13]  M.H. Moradi,et al.  A combination of Genetic Algorithm and Particle Swarm Optimization for optimal DG location and sizing in distribution systems , 2010, 2010 Conference Proceedings IPEC.

[14]  Wilsun Xu,et al.  A Harmonically Coupled Admittance Matrix Model for AC/DC Converters , 2007, IEEE Transactions on Power Systems.

[15]  Michael Negnevitsky,et al.  A Novel Control Strategy for a Variable Speed Wind Turbine with a Permanent Magnet Synchronous Generator , 2008, 2008 IEEE Industry Applications Society Annual Meeting.

[16]  Jian Sun,et al.  Input Impedance Modeling and Analysis of Line-Commutated Rectifiers , 2009, IEEE Transactions on Power Electronics.

[17]  Seyyedmilad Ebrahimi,et al.  Using Multiple Reference Frame Theory for Considering Harmonics in Average-Value Modeling of Diode Rectifiers , 2016, IEEE Transactions on Energy Conversion.

[18]  H. Fujita,et al.  An analytical method for calculating harmonic currents of a three-phase diode-bridge rectifier with DC filter , 1994 .

[19]  Min Chen,et al.  Frequency-domain analysis of uncontrolled rectifiers , 2004, Nineteenth Annual IEEE Applied Power Electronics Conference and Exposition, 2004. APEC '04..

[20]  Henri Foch,et al.  A comparative study of AC/DC converters for high-power DC arc furnace , 2005, IEEE Transactions on Industrial Electronics.

[21]  Jih-Sheng Lai,et al.  Design of a Photovoltaic Simulator With a Novel Reference Signal Generator and Two-Stage LC Output Filter , 2009, IEEE Transactions on Power Electronics.

[22]  Wilsun Xu,et al.  A Detailed Procedure for Harmonic Analysis of Three-Phase Diode Rectifiers Under Discontinuous Conduction Mode and Nonideal Conditions , 2018, IEEE Transactions on Power Delivery.

[23]  A. Davoudi,et al.  Dynamic average modeling of front-end diode rectifier loads considering discontinuous conduction mode and unbalanced operation , 2012, 2012 IEEE Power and Energy Society General Meeting.

[24]  G. Carpinelli,et al.  Analytical modeling for harmonic analysis of line current of VSI-fed drives , 2004, IEEE Transactions on Power Delivery.