Simultaneous Operation of Personal Computers and Mathematical Assessment of Their Harmonic Impact on the Grid

  • Saša MujovićEmail author
  • Slobodan Djukanović
  • Vladimir A. Katić
Conference paper
Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 3)


In the smart grids environment, non-linear electronic devices are present to a great extent. Since these devices generate higher harmonics in the current spectrum and require high voltage quality in order to operate properly, the power quality issue becomes very important. This study deals with mathematical modelling of parameters of current and voltage harmonic distortion due to operation of PC cluster. The proposed models are developed using measurements and simulation results. Model parameters are derived in the least squares manner. The models are convenient for practical engineering application.


Root Mean Square Error Root Mean Square Power Quality Harmonic Distortion Total Harmonic Distortion 
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  1. 1.
    Katić VA, Dumnić B, Mujović S, Radović J (2004) Effects of low power electronics & computer equipment on power quality at distribution grid—measurements and forecast. In: Proceedings of international IEEE conference on industrial technology, Hammamet, pp 585–589Google Scholar
  2. 2.
    Mazin HE, Nino EE, Xu W, Yong J (2011) A study on the Harmonic Contributions of Residential Loads. IEEE Trans Power Delivery 26(3):1592–1599CrossRefGoogle Scholar
  3. 3.
    Knežević JM, Katić VA (2011) The hybrid method for on-line harmonic analysis. Adv Electr Comput Eng 11(3):29–34CrossRefGoogle Scholar
  4. 4.
    Bobric EC, Cartina G, Grigoras G (2009) Clustering techniques in load profile analysis for distribution stations. Adv Electr Comput Eng 9:63–66CrossRefGoogle Scholar
  5. 5.
    Alshammari BM, El-Kady MA, Al-Turki YA (2011) Power system performance quality indices. Eur Trans Electr Power 21:1704–1710CrossRefGoogle Scholar
  6. 6.
    IEEE Standard 519-1992 (1993) IEEE recommended practices and requirements for harmonic control in electric power systems. IEEE PressGoogle Scholar
  7. 7.
    IEC 61000-3-2 Standard (2002) Electromagnetic compatibility (EMC)—part 3-2: limits—limits for harmonic current emissions (equipment input current ≤ 16 a per phase). In: IEC 2002Google Scholar
  8. 8.
    Fuchs E, Masoum M (2008) Power quality in power systems and electrical machines. Elsevier Academic Press, Burlington, pp 19–20Google Scholar
  9. 9.
    Mansoor A, Grady WM, Chowdury AH, Samotyj MJ (1995) An investigation of harmonics attenuation and diversity among distributed single-phase power electronic loads. IEEE Trans Power Delivery 10:467–473Google Scholar
  10. 10.
    Mujović S, Katić VA, Radović J (2011) Improved Analytical Expression for Calculating Total Harmonic Distortion of PC Clusters. Electr Power Syst Res 81(7):1317–1324CrossRefGoogle Scholar
  11. 11.
    EN50160 Standard (1994) Voltage characteristics of electricity supplied by public distribution systems. In: CENELECGoogle Scholar
  12. 12.
    Fuentes J, Molina-Garcia A, Gomez E (2007) A measurement approach for obtaining static load model parameters in real time at the distribution level. Eur Trans Electr Power 17:173–190CrossRefGoogle Scholar
  13. 13.
    Herraiz S, Sainz L, Corcoles F, Pedra JA (2005) Unified and simple model for uncontrolled rectifiers. Electric Power Syst Res 74:331–340CrossRefGoogle Scholar
  14. 14.
    Herraiz S, Sainz L, Pedra JA (2003) Behaviour of Single-Phase Full-Wave Rectifier. Eur Trans Electr Power 13:185–192CrossRefGoogle Scholar
  15. 15.
    Rawa MJH, Thomas MJH, Sumner M (2014) Background voltage distortion and percentage of nonlinear load impacts on the harmonics produced by a group of personal computers. In: Proceedings of the 2014 international symposium on electromagnetic compatibility 2014, Gothenburg, Sweden, pp 626–630Google Scholar
  16. 16.
    Emanuel AE, Janezak J, Pileggi DJ, Gulachenski EM, Root CE, Breen M, Gentile T (1994) Voltage distortion in distribution feeders with nonlinear loads. IEEE Trans Power Delivery 9:79–87CrossRefGoogle Scholar
  17. 17.
    Mesas JJ, Sainz L, Sala P (2015) Statistical study of personal computer cluster harmonic currents from experimental measurements. Electric Power Compon Syst 43(1):56–68CrossRefGoogle Scholar
  18. 18.
    Wu C-J, Hu C-H, Yin C-C, Chiu C-C (1998) Application of regression models to predict harmonic voltage and current growth trend from measurement data at secondary substations. IEEE Trans Power Delivery 13:793–798Google Scholar
  19. 19.
    Khan RAJ, Akmal M (2008) Mathematical modeling of current harmonics caused by personal computers. World Acad Sci Eng Technol 39:325–329Google Scholar
  20. 20.
    Patidar RD, Singh SP (2009) Harmonics estimation and modeling of residential and commercial loads. In: Third international conference on power systems, Kharagpur, India, paper ID-212Google Scholar
  21. 21.
    Katić VA, Mujović S, Radulović V, Radović J (2011) The impact of the load side parameters on PC cluster’s harmonics emission. Adv Electr Comput Eng 11:103–110CrossRefGoogle Scholar
  22. 22.
    Manjunatha S, Panduranga KV (2010) Assessment of distributed generation source impact on electrical distribution system performance. Adv Electr Comput Eng 10(2):135–140CrossRefGoogle Scholar
  23. 23.
    Davidson CC (2011) Power transmission with power electronics”. In: Proceedings of 14th international conference on power electronics and application, Birmingham, pp 1–10, Sept 2011Google Scholar
  24. 24.
    Dumnić B, Ostojić D, Katić V (2005) Power quality in case of a large number of nonlinear devices-measurements and forecast. In: Proceedings of international conference on power electronics, intelligent motion and power quality, Nuremberg, June 2005, pp 336–341Google Scholar
  25. 25.
    IEC Standard 61000-4-7 (2002) General guide on harmonics and inter-harmonics measurements and instrumentation for power supply systems and connected equipment, IEC, GenevaGoogle Scholar
  26. 26.
    Mujović S, Djukanović S, Radulović V, Katić V (2016) Multi-parameter mathematical model for determination of PC cluster total harmonic distortion input current. COMPEL: Int J Comput Math Electr Electron Eng 35(1):305–325CrossRefGoogle Scholar
  27. 27.
    Mujović S, Djukanović S, Radulović V, Katić V, Rašović M (2013) Least squares modeling of voltage harmonic distortion due to PC cluster operation. Adv Electr Comput Eng 13(4):133–138CrossRefGoogle Scholar
  28. 28.
    Hansen S, Nielsen P, Blaabjerg F (2000) Harmonic cancellation by mixing nonlinear single-phase and three-phase loads. IEEE Trans Ind Appl 36:152–159CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Saša Mujović
    • 1
    Email author
  • Slobodan Djukanović
    • 1
  • Vladimir A. Katić
    • 2
  1. 1.Faculty of Electrical EngineeringUniversity of MontenegroPodgoricaMontenegro
  2. 2.Faculty of Technical SciencesUniversity of Novi SadNovi SadSerbia

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