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Open AccessArticle

Comprehensive Harmonic Responsibility Calculation Based on Different Weighting Methods

by 1,2,*, 1,2 and 3
1
School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
2
Rail Transit Electrical Automation Engineering Laboratory of Gansu Province, Lanzhou Jiaotong University, Lanzhou 730070, China
3
Kunming Survey Design and Research of Institute Co. Ltd. of CREEC, Kunming 650200, China
*
Author to whom correspondence should be addressed.
Energies 2019, 12(23), 4449; https://doi.org/10.3390/en12234449
Received: 19 October 2019 / Revised: 16 November 2019 / Accepted: 19 November 2019 / Published: 22 November 2019
(This article belongs to the Section Electrical Power and Energy System)
Dividing the responsibility of harmonics between customer and utility sides is necessary to improve the objectivity, rationality, and scientificalness of power measurement and power quality evaluation. On the basis of expert experience and customer needs and considering the background harmonic fluctuation, this study proposes two reasonable conditions to evaluate harmonic responsibility. At the same time, the reference index of harmonic responsibility calculation and the problem of different frequency harmonics are considered in the comprehensive calculation. On the basis of the IEEE Std. 1459–2010 power theory, the index set of harmonic responsibility is established, and several common subjective and objective weighting methods are used to weigh each index. On the basis of optimization theory, an optimization model is established by constructing a Lagrange function in finding the condition extremum to unify the subjective and objective information. Finally, the calculation method is verified by a Norton equivalent model, and the harmonic responsibility of each index is calculated by the harmonic current vector method; thus, calculating the actual impedance of customer and utility sides is unnecessary, making the calculation simple and effective. Results of the comparative analysis show that the comprehensive evaluation method of harmonic responsibility with the combinatorial weighting method can not only meet the different needs of different groups for harmonic indicators but also reflect the background harmonic fluctuations sensitively. In this manner, the subjective and objective information are unified, and the shortcomings of a single weighting method are overcome. Hence, the evaluation results are accurate, practical, and reasonable. View Full-Text
Keywords: combinatorial weighting method; comprehensive calculation; harmonic responsibility; weighting method combinatorial weighting method; comprehensive calculation; harmonic responsibility; weighting method
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MDPI and ACS Style

Tian, M.; Wang, Y.; Li, J. Comprehensive Harmonic Responsibility Calculation Based on Different Weighting Methods. Energies 2019, 12, 4449. https://doi.org/10.3390/en12234449

AMA Style

Tian M, Wang Y, Li J. Comprehensive Harmonic Responsibility Calculation Based on Different Weighting Methods. Energies. 2019; 12(23):4449. https://doi.org/10.3390/en12234449

Chicago/Turabian Style

Tian, Mingxing; Wang, Yaomin; Li, Jun. 2019. "Comprehensive Harmonic Responsibility Calculation Based on Different Weighting Methods" Energies 12, no. 23: 4449. https://doi.org/10.3390/en12234449

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