Mathematical Modeling of Current Harmonics Caused by Personal Computers

Authors: Rana Abdul Jabbar Khan, Muhammad Akmal

Abstract:

Personal computers draw non-sinusoidal current with odd harmonics more significantly. Power Quality of distribution networks is severely affected due to the flow of these generated harmonics during the operation of electronic loads. In this paper, mathematical modeling of odd harmonics in current like 3rd, 5th, 7th and 9th influencing the power quality has been presented. Live signals have been captured with the help of power quality analyzer for analysis purpose. The interesting feature is that Total Harmonic Distortion (THD) in current decreases with the increase of nonlinear loads has been verified theoretically. The results obtained using mathematical expressions have been compared with the practical results and exciting results have been found.

Keywords: Harmonic Distortion, Mathematical Modeling, Power Quality.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1056228

References:

[1] D. Daniel Sabin, Daniel L. Brooks and Ashok Sundaram, "Indices for Assessing Harmonic Distortion from Power Quality Measurements: Definitions and Benchmark data", IEEE Transactions on Power Delivery, Vol.14, No. 2, April 1999, pp. 489-496.
[2] M. Al-Dabbagh, H. Askarian and Rana Abdul Jabbar Khan, "Power Quality and Energy Loss Reduction in Power Systems", AUPEC-01, 23-26 September 2001, pp. 130-135.
[3] Joseph S. Subjak, Jr, and John S. Mcquiclkin, "Harmonics-causes, effects, measurements, and analysis update", IEEE Transaction on Industry Applications, Volume: 26 issue: 6, Nov.-Dec. 1990, pp. 1034- 1042.
[4] Integral energy power quality, Australia: Technical Note No.3, "Harmonic distortion in the electric supply system", March 2000, pp.1-10.
[5] IEEE Std. 512-1992, "IEEE recommended practices and requirements for harmonic control in electrical power systems", IEEE April 12, 1993.
[6] IEEE Std. 1159-1995, "IEEE recommended practice for monitoring electric power quality", IEEE, New York, 1995.
[7] Derek Maule, "Regulating mains pollution", IEE Review March 2001, pp.35-38.
[8] Don O. Koval and Clive Carter, Power Quality Characteristics of Computer Loads, IEEE Transactions on Industry Applications, VOL. 33, NO. 3, May/June 1997, pp.613-621.
[9] W. Mack Grady, Arshad Mansoor, Ewald F. Fuchs, Paola Verde and Michael Doyle, Estimating the Net Harmonic Currents Produced by Selected Distributed Single-Phase Loads: Computers, Televisions, and Incandescent Light Dimmers, ISBN # 0-7803-7322-7 pp.1090-1094.
[10] A. Mansoor, W. M. Grady, A. H. Chowdhury, M. J. Samotyj, An Investigation of Harmonics Attenuation and Diversity Among Distributed Single-phase Power Electronic Loads, IEEE Transactions on Power Delivery, Vol. 10, No. 1, January 1995, pp.467-473.
[11] Rana Abdul Jabbar Khan and Majid Al-Dabbagh, "Decomposition of Power Systems Harmonics by Wavelet Technique", AUPEC, 03, New Zealand, 26-28 October. 2003, ISBN # 0-473-09867-9.
[12] Erwin Kreyszig, "Advanced Engineering Mathematics", 8th Edition, ISBN 9971-51-283-1, pp. 914-916.
[13] RAJ Khan, "Power Quality and On-line Harmonics Monitoring in Power Systems", PhD Thesis, 2003 RMIT University Australia, pp 117.
[14] Rana A. Jabbar, Suhail A. Qureshi, M. Akmal, Waqar Qureshi, Abrar Ahmad, "Practical Analysis and Mathematical Modeling of Harmonic Distortions Caused by Electronic Loads", Proc. 7th IASTED Conf. on Power and Energy Systems ~EuroPES 2007~ Palma de Mallorca, Spain, ISBN# 978-0-88986-689-8, pp. 151-156.