J. C. Peng et al.
5. Conclusions
The range and standard deviatio n of liabilities for harmonic pollution by the c urrent-based meth od are the big-
gest of all. Those by the voltage-based method are the smallest of all. The two methods go to opposite extremes
and are unreasonable. The newly proposed two methods, which respectively based on line-transferred active
power compo nent and line-transferred complex power component, take all factors into account (complete) and
give reasonable levels of liabilities for harmoni c p o ll ution.
However, the met hod based on line-transferred complex power component needs projection of the co mplex
power component, thus ine xp lic it in physical meaning. As a result , the liab ili t y divisio n metho d for har monic
pollution based on line-transferred active power compone nts is not only complete and explicit but also reasona-
ble, and it is worth of recommendation.
Funding
This work is supported by National Natural Science Foundation of China under grant 51177102.
References
[1] Sri nivasan , K. (1996) On Separating Customer and Supply Side Harmonic Contributions. IEEE Transactions on Power
Delivery, 11, 10 03-10 12. http://dx.doi.org/10.1109/61.489362
[2] Shi, L.J . and Zh ao, J.G. (2002) Application of Active Po we r Filter to Improve Powe r Quality. Proceedings of the EPSA,
14, 36-306.
[3] Hu, M. and Chen, H. (2000) Sur vey of P o we r Quality and Its An a ly s i s Method. Power System Technology, 24, 36-38.
[4] Gu r s oy, E. and Niebur, D. (2009) Harmonic Load Identification Using Complex Independent Component Analysis.
IEEE Transactions on Power Delivery, 24, 285-292. http://dx.doi.org/10.1109/TPWRD.2008.2002968
[5] McE achern , A., Grady, W.M . an d Moncr ieff, W.A. (1995) Revenue and Harmon icsan Evaluation of Some Proposed
Rate Stru ctur es. IEE E Transactions on Pow er Delivery, 10 , 123-128. http://dx.doi.org/10.1109/61.368364
[6] Hui , J., Yang, H .G. and Ye, M.Q. (20 11 ) Research on the Liability Partition of Harmonic Pollution of Multiple Har-
monic 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 CSE E, 32, 166 -173.
[8] Jia, X.F., Hua, H.C., C ao, D.S . and Zh ao , C.Y. (2013 ) Determining Harmonic Contributions Based on Complex Least
Squ ares Met hod. Proceedings of the CSE E, 33, 1 49-15 5.
[9] Ma, H.Z., Xu, G. , Song, S.P ., Z hao, H.F. and Ren , L.Z. (2014) Quantitative Anal y s i s of Harmonic Current Liability in
Distribution Netwo rk. E clectic Po wer Automation Equipme nt, 34, 44-49.
[10] Xu, J.Z. , P ang, L.Z., et al. (2012) Quantitative Ana lysis fo r Harmon ic Liability Prorat ion among Multiple Harmonic
Sou rces. Electric Power Automation Equipment, 32, 38-42.
[11] Ye, J. (2010) A Liability Sharing Meth od Bas ed on Harmonic Powe r . Journal of Electric Power , 25, 2 10-21 3.
[12] Hua, H.C., Jia, X.F., Cao, D.S. and Zhao , C.Y. (2013) Harmonic Contribution Estimation under Po wer Qualit y Data
Interch ange F ormat. P ower S ystem Technology, 37, 3110-3117.
[13] P eng, J.C. (2005) Definitions of Branch’s Originating Po we r Component and Branch’s Dri ven Po wer Component and
Thei r Analysis. P ower Sys tem Technology, 29, 24-29.
[14] P eng, J.C., Zeng, Y.G. and Jian g, H. (2012) Resolution of Line-Transferred Po we r in Gr i ds Yielded by Circuit-Laws ’
Symmetry under Deducti ve Reasoning of Shapley Theorem. IET Generati on, Transmission & Distribution, 6, 627-
635. http://dx.doi.org/10.1049/iet-gtd.2 01 1.05 36
[15] Burch, R., Chang, G., Hatzi adoniu, C. , et al. (2003) Impact of Aggregate Linear Load Modeling on Harmonic An a lysis:
A Comparison of Common Practice an d Anal ytical Models. IEEE Transactions on Power System, 18 , 625-63 0.
http://dx.doi.org/10.1109/TPWRD.2003.810492