An interval power flow method for radial distribution systems based on hybrid second-order cone and linear programming

Xuehan Zhang, Hyeon Woo, Sungyun Choi

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Interval power flow (IPF) analysis is a promising approach to handling the uncertainty of renewable energy sources and loads in power systems. However, most existing studies are based on standard interval arithmetic or affine arithmetic. Little work can be found that employs traditional optimization methods to obtain the interval results, especially based on convexified power flow formulation. Therefore, this paper proposes an IPF method based on a hybrid second-order cone and linear programming for radial distribution systems. First, the optimization process of IPF based on the standard power flow model is introduced. Given the non-convexity of the standard power flow model, an IPF framework based on second-order cone programming (SOCP) for radial distribution systems is proposed. Moreover, considering that the SOCP formulation can only achieve half of the whole IPF process, a revised linear DistFlow formulation is adopted, and the IPF method based on a hybrid second-order cone and linear programming is devised. Finally, the proposed IPF method is compared with the standard power flow equation-based IPF method and the Monte Carlo method. The simulation results on modified IEEE 33-node and 69-node distribution systems demonstrate the effectiveness and prospects of the proposed IPF method.

Original languageEnglish
Article number101158
JournalSustainable Energy, Grids and Networks
Volume36
DOIs
Publication statusPublished - 2023 Dec

Bibliographical note

Funding Information:
This research was supported in part by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2022R1A2C2011522 ), in part by Korea Institute of Energy Technology Evaluation and Planning (KETEP) grant funded by the Korea government (MOTIE) (No. RS-2023-00234707 ), and in part by a Korea University Grant .

Publisher Copyright:
© 2023 Elsevier Ltd

Keywords

  • Interval power flow
  • Radial distribution system
  • Renewable energy sources
  • Revised linearized distFlow formulation
  • Second-order cone programming

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Renewable Energy, Sustainability and the Environment
  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

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