Harmonic Elimination in Three-Phase Voltage Source Inverters by Particle Swarm Optimization

This paper presents accurate solutions for nonlinear transcendental equations of the selec- tive harmonic elimination technique used in three-phase PWM inverters feeding the induction motor by particle swarm optimization (PSO). With the proposed approach, the required switching angles are computed efficiently to eliminate low order harmonics up to the 23 rd from the inverter voltage wave- form, whereas the magnitude of the fundamental component is controlled to the desired value. A set of solutions and the evaluation of the proposed method are presented. The obtained results prove that the algorithm converges to a precise solution after several iterations. The salient contribution of the paper is the application of the particle swarm algorithm to attenuate successfully any undesired low- order harmonics from the inverter output voltage. The current paper demonstrates that the PSO is a promising approach to control the operation of a three-phase voltage source inverter with a selective harmonic elimination strategy to be applied in induction motor drives.

[1]  A. Sayyah,et al.  Optimization of THD and suppressing certain order harmonics in PWM inverters using genetic algorithms , 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

[2]  Kinattingal Sundareswaran,et al.  Inverter Harmonic Elimination Through a Colony of Continuously Exploring Ants , 2007, IEEE Transactions on Industrial Electronics.

[3]  F. Swift,et al.  A new Walsh domain technique of harmonic elimination and voltage control in pulse-width modulated inverters , 1993 .

[4]  J.R. Wells,et al.  Modulation-Based Harmonic Elimination , 2007, IEEE Transactions on Power Electronics.

[5]  R. Hoft,et al.  Generalized Techniques of Harmonic Elimination and Voltage Control in Thyristor Inverters: Part II --- Voltage Control Techniques , 1974 .

[6]  Zhong Du,et al.  A complete solution to the harmonic elimination problem , 2003, IEEE Transactions on Power Electronics.

[7]  Marco Dorigo,et al.  Ant system: optimization by a colony of cooperating agents , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[8]  James Kennedy,et al.  Particle swarm optimization , 1995, Proceedings of ICNN'95 - International Conference on Neural Networks.

[9]  Thomas Stützle,et al.  Special Section on Ant Colony Optimization , 2002 .

[10]  R. Hoft,et al.  Inverter harmonic reduction using Walsh function harmonic elimination method , 1997 .

[11]  Mohamed Azab,et al.  Global maximum power point tracking for partially shaded PV arrays using particle swarm optimisation , 2009 .

[12]  Rabih A. Jabr Solution trajectories of the harmonic-elimination problem , 2006 .

[13]  F. G. Turnbull,et al.  Selected harmonic reduction in static D-C — A-C inverters , 1964, IEEE Transactions on Communication and Electronics.

[14]  James Hereford,et al.  Multi-robot search using a physically-embedded Particle Swarm Optimization , 2008 .

[15]  Ali Rezig,et al.  Impact of Eccentricity and Demagnetization Faults on Magnetic Noise Generation in Brushless Permanent Magnet DC Motors , 2011 .

[16]  Shen Wei,et al.  A flexible way to generate PWM-SHE switching patterns using genetic algorithm , 2001, APEC 2001. Sixteenth Annual IEEE Applied Power Electronics Conference and Exposition (Cat. No.01CH37181).

[17]  V. Agelidis,et al.  Multiple sets of solutions for harmonic elimination PWM bipolar waveforms: analysis and experimental verification , 2006, IEEE Transactions on Power Electronics.

[18]  Mohamed Azab Particle swarm optimisation-based solutions for selective harmonic elimination in single-phase PWM inverters , 2010 .

[19]  Ju Lee,et al.  Magnetic Interference on the Infrastructure for a Super-speed Tube Train , 2011 .

[20]  Richard G. Hoft,et al.  Generalized Techniques of Harmonic Elimination and Voltage Control in Thyristor Inverters: Part I--Harmonic Elimination , 1973 .