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access icon free Dynamic optimal power flow model incorporating interval uncertainty applied to distribution network

  • Author(s): Pengwei Chen 1 ; Xiangning Xiao 1 ; Xuhui Wang 2
    • View affiliations
  • Source: Volume 12, Issue 12, 10 July 2018, p. 2926 – 2936
    DOI:  10.1049/iet-gtd.2017.1874 , Print ISSN 1751-8687, Online ISSN 1751-8695
© The Institution of Engineering and Technology
Received 30/11/2017, Accepted 25/03/2018, Revised 01/03/2018, Published 29/03/2018

Dynamic optimal power flow (DOPF) in active distribution networks generally relies on a perfect forecasting of uncertainties such as intermittent distributed generations and time-varying loads, which is generally difficult to achieve in practise. To make DOPF possess the ability to deal with uncertainties, especially for the satisfaction of operating constraints in an uncertain environment, an interval DOPF (I-DOPF) model is derived in this study, by using affine arithmetic and interval Taylor expansion. To solve the I-DOPF problem efficiently, the solving method based on successive linear approximation (SLA) and distributed optimisation strategy is further discussed. The proposed I-DOPF model and its solving method are subsequently applied to a modified IEEE 33-bus network and a real 113-bus distribution network. The simulation results demonstrate that the I-DOPF model has a good performance on boundary constraint satisfaction under uncertainties; the SLA-based solving method can be well integrated with distributed optimisation to meet the practical requirements of data exchange in large-scale active distribution networks.

Inspec keywords: optimisation; arithmetic; distribution networks; affine transforms; approximation theory; load forecasting; load flow

Other keywords: load forecasting; real 113-bus distribution network; I-DOPF model; interval Taylor expansion; active distribution network; SLA-based solving; modified IEEE 33-bus network; interval dynamic optimal power flow model; intermittent distributed generation; interval uncertainty; boundary constraint satisfaction; distributed optimisation strategy; successive linear approximation; affine arithmetic

Subjects: Optimisation techniques; Distribution networks; Power system planning and layout; Interpolation and function approximation (numerical analysis); Integral transforms in numerical analysis

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