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Tri-Sectional Approximation of the Shortest Path to Long-Term Voltage Stability Boundary with Distributed Energy Resources

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Authors

  • Dan Wu
  • Bin Wang
  • Franz Erich Wolter
  • Le Xie

External Research Organisations

  • Massachusetts Institute of Technology
  • National Renewable Energy Laboratory
  • Texas A&M University
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    • Citation Indexes: 4
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Details

Original languageEnglish
Pages (from-to)4720-4731
Number of pages12
JournalIEEE transactions on power systems
Volume37
Issue number6
Publication statusPublished - 25 Feb 2022

Abstract

Ensuring long-term voltage stability is critical for reliable operations of power grids. High share of distributed energy resources (DERs) can create complicated system operation modes that may invalidate the traditional long-term voltage stability analysis based on typical operation modes. To address this challenge, this paper investigates how to compute the shortest path to the voltage stability boundary in the DER aggregated load space with large dispersion. Instead of working in the Euclidean space, we establish the analysis and computations on the algebraic power flow manifold to better capture the curvature change of the shortest path along the direction of losing stability. A modified optimal control framework is presented for obtaining the ground-truth of the smooth shortest path on the manifold. To efficiently and accurately solve for the shortest path, we further leverage the geometric features of the power flow manifold and propose a tri-sectional approximation model that is scalable for large-scale systems. Several numerical examples, up to the 1354-bus system, with different DER penetration levels and high dimensional renewable power injection variations are evaluated. The simulation results demonstrate that the tri-sectional approximation achieves high accuracy and efficiency to approximate the shortest path to the voltage stability boundary.

Keywords

    DER penetrated load, Long-term voltage stability, manifold distance, tri-sectional approximation

ASJC Scopus subject areas

Sustainable Development Goals

Cite this

Tri-Sectional Approximation of the Shortest Path to Long-Term Voltage Stability Boundary with Distributed Energy Resources. / Wu, Dan; Wang, Bin; Wolter, Franz Erich et al.
In: IEEE transactions on power systems, Vol. 37, No. 6, 25.02.2022, p. 4720-4731.

Research output: Contribution to journalArticleResearchpeer review

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