Interval power flow analysis via multi-stage affine arithmetic for unbalanced distribution network

•A multi-stage affine arithmetic based interval power flow method is proposed to address the influence of DG and load uncertainty.•The multi-phase model is adopted considering the load and DG unbalance and line parameters asymmetry in distribution network.•Higher accuracy and computational speed is...

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Bibliographic Details
Published in:Electric power systems research 2017-01, Vol.142, p.1-8
Main Authors: Wang, Yang, Wu, Zaijun, Dou, Xiaobo, Hu, Minqiang, Xu, Yiyue
Format: Article
Language:English
Subjects:
Arithmetic
Data buses
Distributed generation
Electric potential
Electric power distribution
Electricity distribution
Electricity generation
Energy sources
Interval power flow
Multi-stage affine arithmetic
Networks
Power flow
Stress concentration
Uncertainty
Wind turbines
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Summary:•A multi-stage affine arithmetic based interval power flow method is proposed to address the influence of DG and load uncertainty.•The multi-phase model is adopted considering the load and DG unbalance and line parameters asymmetry in distribution network.•Higher accuracy and computational speed is achieved by the proposed method due to much less non-linear affine operations. Integrating large numbers of intermittent energy resources, such as photovoltaic generations and wind turbines, brings huge uncertainty to the operation of distribution network. In this paper, an interval power flow method via multi-stage affine arithmetic is proposed to address the impact of distributed generation output power and load uncertainty on the power flow solution for the unbalanced distribution network, which acquires affine expression of bus voltage by solving the fixed component, first-order perturbation and non-linear perturbation of the bus complex voltage respectively. Multi-numerical results based on modified IEEE 123 nodes test feeder are presented and discussed, demonstrating that the proposed method achieves much better performance than existing ones in both precision and computation aspects.
ISSN:0378-7796
1873-2046
DOI:10.1016/j.epsr.2016.08.024