A Comparative Analysis of Real-Time Algorithms for Power Signal Decomposition in Multiple Synchronous Reference Frames

The monitoring and rejection of voltage and current harmonics in power electronics applications such as power quality conditioners or distributed generation systems require correct estimation algorithms especially if the harmonic amplitudes are time varying. Power signal decomposition in multiple synchronous rotating reference frames (MSRFs) is considered one of the best solutions. The most commonly employed implementations of this signal transformation are based on phase-locked loops (PLLs), recursive discrete Fourier transforms (RDFT), or discrete Kalman filtering (DKF). In this paper, a rigorous analysis of the performance of these implementations has been carried out. Complete tests have been performed to evaluate the computational burden, the frequency domain response, and the tolerance to low frequency amplitude variations. The results make it possible to select the proper method depending on the requirements of each application.

[1]  Math Bollen,et al.  Understanding Power Quality Problems: Voltage Sags and Interruptions , 1999 .

[2]  B.P. McGrath,et al.  Power converter line synchronization using a discrete Fourier transform (DFT) based on a variable sample rate , 2005, IEEE Transactions on Power Electronics.

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

[4]  H. Akagi,et al.  A 6.6-kV transformerless shunt hybrid active filter for installation on a power distribution system , 2005, IEEE Transactions on Power Electronics.

[5]  John G. Proakis,et al.  Digital Signal Processing: Principles, Algorithms, and Applications , 1992 .

[6]  Robert Grover Brown,et al.  Introduction to random signal analysis and Kalman filtering , 1983 .

[7]  V.M. Moreno,et al.  Reference current estimation under distorted line voltage for control of shunt active power filters , 2004, IEEE Transactions on Power Electronics.

[8]  A.J.M. Cardoso,et al.  Multiple reference frames theory: a new method for the diagnosis of stator faults in three-phase induction motors , 2005, IEEE Transactions on Energy Conversion.

[9]  Scott D. Sudhoff,et al.  A multiple reference frame synchronous estimator/regulator , 2000 .

[10]  Guan-Chyun Hsieh,et al.  Phase-locked loop techniques. A survey , 1996, IEEE Trans. Ind. Electron..

[11]  M. Liserre,et al.  Multiple harmonics control for three-phase grid converter systems with the use of PI-RES current controller in a rotating frame , 2006, IEEE Transactions on Power Electronics.

[12]  V. M. Moreno Saiz,et al.  Application of Kalman filtering for continuous real-time tracking of power system harmonics , 1997 .

[13]  Seddik Bacha,et al.  A Single Synchronous Frame Hybrid (SSFH) Multifrequency Controller for Power Active Filters , 2006, IEEE Transactions on Industrial Electronics.

[14]  Pat Bodger,et al.  Power System Harmonics , 2003 .

[15]  E. Perez,et al.  An adaptive method for determining the reference compensating current in single-phase shunt active power filters , 2003 .

[16]  Hamid A. Toliyat,et al.  DSP implementation of the multiple reference frames theory for the diagnosis of stator faults in a DTC induction motor drive , 2005 .

[17]  Guanrong Chen,et al.  Kalman Filtering with Real-time Applications , 1987 .

[18]  Marco Liserre,et al.  An Anti-Islanding Method for Single-Phase Inverters Based on a Grid Voltage Sensorless Control , 2006, IEEE Transactions on Industrial Electronics.

[19]  Paolo Mattavelli,et al.  Synchronous-frame harmonic control for high-performance AC power supplies , 2001 .

[20]  F. Blaabjerg,et al.  Evaluation of harmonic detection methods for active power filter applications , 2005, Twentieth Annual IEEE Applied Power Electronics Conference and Exposition, 2005. APEC 2005..

[21]  Enrique Acha,et al.  Power Systems Harmonics: Computer Modelling and Analysis , 2001 .

[22]  Irene Yu-Hua Gu,et al.  Signal processing of power quality disturbances , 2006 .

[23]  Frede Blaabjerg,et al.  Overview of Control and Grid Synchronization for Distributed Power Generation Systems , 2006, IEEE Transactions on Industrial Electronics.

[24]  J. Arrillaga,et al.  An adaptive Kalman filter for dynamic harmonic state estimation and harmonic injection tracking , 2005, IEEE Transactions on Power Delivery.

[25]  Dragan Jovcic,et al.  Phase locked loop system for FACTS , 2003 .

[26]  Scott D. Sudhoff.  Multiple reference frame analysis of an unsymmetrical induction machine , 1993 .

[27]  P. Salmeron,et al.  Analysis of power losses for instantaneous compensation of three-phase four-wire systems , 2005, IEEE Transactions on Power Electronics.

[28]  Paul C. Krause,et al.  Method of Multiple Reference Frames Applied to the Analysis of Symmetrical Induction Machinery , 1968 .

[29]  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).

[30]  H.A. Toliyat,et al.  DSP implementation of the multiple reference frames theory for the diagnosis of stator faults in a DTC induction motor drive , 2003, IEEE Transactions on Energy Conversion.

[31]  S. L. Ho,et al.  Speed estimation of an induction motor drive using an optimized extended Kalman filter , 2002, IEEE Trans. Ind. Electron..