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A Piecewise Bound Constrained Optimization for Harmonic Responsibilities Assessment under Utility Harmonic Impedance Changes

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  • Tianlei Zang

    (School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China
    Guizhou Key Laboratory of Electric Power Big Data, Guizhou Institute of Technology, Guiyang 550003, China
    State Key Laboratory of Security Control and Simulation of Power Systems and Large Scale Generation Equipment, Department of Electrical Engineering, Tsinghua University, Beijing 100084, China)

  • Zhengyou He

    (School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China)

  • Yan Wang

    (School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China)

  • Ling Fu

    (School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China)

  • Zhiyu Peng

    (Guizhou Key Laboratory of Electric Power Big Data, Guizhou Institute of Technology, Guiyang 550003, China)

  • Qingquan Qian

    (School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China)

Abstract

Considering the effect of the utility harmonic impedance variations on harmonic responsibility, a method based on piecewise bound constrained optimization is proposed in this paper to evaluate the load harmonic responsibilities. The wavelet packet transform is employed to determine the change times of the utility harmonic impedances. The harmonic monitoring data is divided into several segments where the utility harmonic impedances are considered as constants. Then, the problem of harmonic responsibility assessment under utility harmonic impedance changes are settled by the piecewise bound constrained optimization model. Furthermore, the interior point, the sequential quadratic programming and the active set algorithm are respectively adopted to calculate all the instantaneous harmonic responsibilities of harmonic loads. Finally, the weighted summation is used to calculate the total harmonic responsibility. To demonstrate the validity, simulation tests are carried out on an experimental circuit and the IEEE 13-bus distribution system.

Suggested Citation

  • Tianlei Zang & Zhengyou He & Yan Wang & Ling Fu & Zhiyu Peng & Qingquan Qian, 2017. "A Piecewise Bound Constrained Optimization for Harmonic Responsibilities Assessment under Utility Harmonic Impedance Changes," Energies, MDPI, vol. 10(7), pages 1-20, July.
    • Handle: RePEc:gam:jeners:v:10:y:2017:i:7:p:936-:d:103826
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    References listed on IDEAS

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    1. Gu Ye & Michiel Nijhuis & Vladimir Cuk & J.F.G. (Sjef) Cobben, 2017. "Stochastic Residential Harmonic Source Modeling for Grid Impact Studies," Energies, MDPI, vol. 10(3), pages 1-21, March.
    2. Jen-Hao Teng & Shu-Hung Liao & Rong-Ceng Leou, 2014. "Three-Phase Harmonic Analysis Method for Unbalanced Distribution Systems," Energies, MDPI, vol. 7(1), pages 1-20, January.
    3. A. F. Izmailov & M. V. Solodov & E. I. Uskov, 2016. "Globalizing Stabilized Sequential Quadratic Programming Method by Smooth Primal-Dual Exact Penalty Function," Journal of Optimization Theory and Applications, Springer, vol. 169(1), pages 148-178, April.
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    Cited by:

    1. Xianyong Xiao & Xian Zheng & Ying Wang & Shuangting Xu & Zixuan Zheng, 2018. "A Method for Utility Harmonic Impedance Estimation Based on Constrained Complex Independent Component Analysis," Energies, MDPI, vol. 11(9), pages 1-15, August.

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