Control and elimination of sinusoidal harmonics in power electronics equipment: A system approach

The paper provides a general framework, with theoretical contributions and overview of methods for the analysis of elimination and control of harmonic components in power electronics applications. The internal model principle was introduced first as it provides a general controller formulation for tracking of (a) DC type of signals (b) harmonic - sine and cosine signals and (c) repetitive - arbitrary periodic waveforms that are often found in power electronics and drives. Following, the transfer function of a resonant regulator was derived by combining 2 synchronous regulators rotating in direct and inverse direction and transforming them into stationary reference frame. Repetitive regulator then followed as a parallel connection of large number of resonant regulators. The methodology was compared with single frequency Adaptive Noise Canceling (ANC) algorithm broadly used in signal and acoustic noise processing. It was shown that linear combiner and lest mean square (LMS) algorithm from ANC perform function of integrator in a synchronous reference frame and have the same transfer function as a harmonic regulator in stationary reference frame.

[1]  Donald Grahame Holmes,et al.  Frequency domain analysis of three phase linear current regulators , 1999 .

[2]  Paolo Mattavelli.  A closed-loop selective harmonic compensation for active filters , 2001 .

[3]  J. Glover.  Adaptive noise canceling applied to sinusoidal interferences , 1977 .

[4]  P.C. Loh,et al.  Time delay control of power converters: Mixed frame and stationary-frame variants , 2008, 2008 Twenty-Third Annual IEEE Applied Power Electronics Conference and Exposition.

[5]  Wenzhou Lu,et al.  A general internal model principle based control scheme for CVCF PWM converters , 2010, The 2nd International Symposium on Power Electronics for Distributed Generation Systems.

[6]  V. Blasko,et al.  A Novel Method for Selective Harmonic Elimination in Power Electronic Equipment , 2007, IEEE Transactions on Power Electronics.

[7]  T.A. Lipo,et al.  Input harmonic estimation and control methods in active rectifiers , 2008, 2008 IEEE Power Electronics Specialists Conference.

[8]  S. Fukuda,et al.  A novel current tracking method for active filters based on a sinusoidal internal model , 2000, Conference Record of the 2000 IEEE Industry Applications Conference. Thirty-Fifth IAS Annual Meeting and World Conference on Industrial Applications of Electrical Energy (Cat. No.00CH37129).

[9]  F. Briz,et al.  Analysis and design of current regulators using complex vectors , 1997, IAS '97. Conference Record of the 1997 IEEE Industry Applications Conference Thirty-Second IAS Annual Meeting.

[10]  Russel J. Kerkman,et al.  A New Synchronous Current Regulator and an Analysis of Current-Regulated PWM Inverters , 1986, IEEE Transactions on Industry Applications.

[11]  Donald Grahame Holmes,et al.  Stationary frame current regulation of PWM inverters with zero steady state error , 1999, 30th Annual IEEE Power Electronics Specialists Conference. Record. (Cat. No.99CH36321).

[12]  Shoji Fukuda,et al.  A novel current-tracking method for active filters based on a sinusoidal internal model [for PWM inv , 2001 .

[13]  Werner Leonhard,et al.  Control of Electrical Drives , 1990 .

[14]  Liang Qin,et al.  Analysis and realization of a novel repetitive controller in active power filter system , 2009, 2009 International Conference on Power Electronics and Drive Systems (PEDS).

[15]  S. Thomas Alexander,et al.  Adaptive Signal Processing , 1986, Texts and Monographs in Computer Science.

[16]  Quan Quan,et al.  A new viewpoint on the internal model principle and its application to periodic signal tracking , 2010, 2010 8th World Congress on Intelligent Control and Automation.

[17]  V. Blasko,et al.  A new mathematical model and control of a three-phase AC-DC voltage source converter , 1997 .

[18]  S. Hara,et al.  Repetitive control system: a new type servo system for periodic exogenous signals , 1988 .

[19]  A.M.N. Lima,et al.  Vector modeling and control of unbalanced electrical systems , 1999, Conference Record of the 1999 IEEE Industry Applications Conference. Thirty-Forth IAS Annual Meeting (Cat. No.99CH36370).

[20]  W. Wonham,et al.  The internal model principle for linear multivariable regulators , 1975 .

[21]  Joachim Holtz,et al.  The representation of AC machine dynamics by complex signal flow graphs , 1995, IEEE Trans. Ind. Electron..

[22]  Frede Blaabjerg,et al.  Proportionalresonant controllers and filters for gridconnected voltagesource converters , 2006 .

[23]  V. Blasko,et al.  Adaptive filtering for selective elimination of higher harmonics from line currents of a voltage source converter , 1998, Conference Record of 1998 IEEE Industry Applications Conference. Thirty-Third IAS Annual Meeting (Cat. No.98CH36242).

[24]  Sen M. Kuo,et al.  Active noise control: a tutorial review , 1999, Proc. IEEE.

[25]  H. Stemmler,et al.  Stationary frame generalized integrators for current control of active power filters with zero steady state error for current harmonics of concern under unbalanced and distorted operation conditions , 2000, Conference Record of the 2000 IEEE Industry Applications Conference. Thirty-Fifth IAS Annual Meeting and World Conference on Industrial Applications of Electrical Energy (Cat. No.00CH37129).

[26]  Yukihiko Sato,et al.  A new control strategy for voltage type PWM rectifiers to realise zero steady-state control error in input current , 1997, IAS '97. Conference Record of the 1997 IEEE Industry Applications Conference Thirty-Second IAS Annual Meeting.

[27]  G. Griva,et al.  Digital current-control schemes , 2009, IEEE Industrial Electronics Magazine.

[28]  Sen M. Kuo,et al.  Active Noise Control , 2008 .