Probabilistic characterization of current harmonics of electrical traction power supply system by analytic method

Zhongming Ye, Wai Chau Edward Lo, K. H. Yuen, M. H. Pong

Research output: Chapter in book / Conference proceedingConference article published in proceeding or bookAcademic researchpeer-review

18 Citations (Scopus)


Current harmonics of an urban railway traction system in Hong Kong are investigated by analytic approach. With the statistic knowledge of speed and notch number of the trains in the system, the mean and variance of harmonic current of individual trains are computed based on a behavior oriented model of the traction electrical unit. According to the Large Number Law and Central Limit Theorem, current harmonics at a substation, which is a vectorial summation of harmonics of random number of trains electrically connected to it, are normally distributed provided that the number of trains is large enough. A set of equations are established by which probability density functions (pdfs) of current harmonics at a substation are calculated and found to be in good accordance with results obtained by Monte Carlo simulation. This approach of harmonics evaluation for traction system with random loading has evident advantages of cheap, fast and convenience and with no compromise of accuracy.
Original languageEnglish
Title of host publicationIECON Proceedings (Industrial Electronics Conference)
Number of pages7
Publication statusPublished - 1 Dec 1999
Externally publishedYes
EventThe 25th Annual Conference of the IEEE Industrial Electronics Society (IECON'99) - San Jose, CA, United States
Duration: 29 Nov 19993 Dec 1999


ConferenceThe 25th Annual Conference of the IEEE Industrial Electronics Society (IECON'99)
Country/TerritoryUnited States
CitySan Jose, CA

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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