Share This Article:

A Liability Division Method for Harmonic Pollution Based on Line-Transferred Power Components

Abstract Full-Text HTML Download Download as PDF (Size:415KB) PP. 262-268
DOI: 10.4236/jpee.2015.34035    2,504 Downloads   2,697 Views  


The existing liability division methods for harmonic pollution are either inexplicit or incomplete in physical meaning. To compensate these defects, two new methods are proposed based on line-transferred power components in this paper. At first, all harmonic sources are represented by ideal equivalent current source, line current components and bus voltage components of a source are determined by stimulation of this source with all other sources disabled. Then, the line-trans- ferred power component owing to a source under all sources action together is determined by the theory of line-transferred power components, and called source’s line-transferred power component. At last, the liability of a source for line-end harmonic pollution is divided by two methods: the ration of the source’s line-transferred active power component to the total line-transferred power, and the ration of projection of the source’s line-transferred complex power component to absolute value of the total line-transferred complex power. These two methods are taken into account not only harmonic voltage but also harmonic current in the liability division. Simulation results show that the proposed liability division method based on active power component is the most effective and ideal one.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Peng, J. , Zhou, J. and Jiang, H. (2015) A Liability Division Method for Harmonic Pollution Based on Line-Transferred Power Components. Journal of Power and Energy Engineering, 3, 262-268. doi: 10.4236/jpee.2015.34035.


[1] Srinivasan, K. (1996) On Separating Customer and Supply Side Harmonic Contributions. IEEE Transactions on Power Delivery, 11, 1003-1012.
[2] Shi, L.J. and Zhao, J.G. (2002) Application of Active Power Filter to Improve Power Quality. Proceedings of the EPSA, 14, 36-306.
[3] Hu, M. and Chen, H. (2000) Survey of Power Quality and Its Analysis Method. Power System Technology, 24, 36-38.
[4] Gursoy, E. and Niebur, D. (2009) Harmonic Load Identification Using Complex Independent Component Analysis. IEEE Transactions on Power Delivery, 24, 285-292.
[5] McEachern, A., Grady, W.M. and Moncrieff, W.A. (1995) Revenue and Harmonicsan Evaluation of Some Proposed Rate Structures. IEEE Transactions on Power Delivery, 10, 123-128.
[6] Hui, J., Yang, H.G. and Ye, M.Q. (2011) Research on the Liability Partition of Harmonic Pollution of Multiple Harmonic Sources. Proceedings of the CSEE, 31, 48-54.
[7] Sun, Y.Y. and Yin, Z.M. (2012) Quantifying Harmonic Responsibilities of Multiple Harmonic Sources Based on M- Estimation Robust Regression. Proceedings of the CSEE, 32, 166-173.
[8] Jia, X.F., Hua, H.C., Cao, D.S. and Zhao, C.Y. (2013) Determining Harmonic Contributions Based on Complex Least Squares Method. Proceedings of the CSEE, 33, 149-155.
[9] Ma, H.Z., Xu, G., Song, S.P., Zhao, H.F. and Ren, L.Z. (2014) Quantitative Analysis of Harmonic Current Liability in Distribution Network. Eclectic Power Automation Equipment, 34, 44-49.
[10] Xu, J.Z., Pang, L.Z., et al. (2012) Quantitative Analysis for Harmonic Liability Proration among Multiple Harmonic Sources. Electric Power Automation Equipment, 32, 38-42.
[11] Ye, J. (2010) A Liability Sharing Method Based on Harmonic Power. Journal of Electric Power, 25, 210-213.
[12] Hua, H.C., Jia, X.F., Cao, D.S. and Zhao, C.Y. (2013) Harmonic Contribution Estimation under Power Quality Data Interchange Format. Power System Technology, 37, 3110-3117.
[13] Peng, J.C. (2005) Definitions of Branch’s Originating Power Component and Branch’s Driven Power Component and Their Analysis. Power System Technology, 29, 24-29.
[14] Peng, J.C., Zeng, Y.G. and Jiang, H. (2012) Resolution of Line-Transferred Power in Grids Yielded by Circuit-Laws’ Symmetry under Deductive Reasoning of Shapley Theorem. IET Generation, Transmission & Distribution, 6, 627- 635.
[15] Burch, R., Chang, G., Hatziadoniu, C., et al. (2003) Impact of Aggregate Linear Load Modeling on Harmonic Analysis: A Comparison of Common Practice and Analytical Models. IEEE Transactions on Power System, 18, 625-630.

comments powered by Disqus

Copyright © 2018 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.