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

verfasst von

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

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.

Organisationseinheit(en)

Fakultät für Elektrotechnik und Informatik

Externe Organisation(en)

Massachusetts Institute of Technology (MIT)
National Renewable Energy Laboratory
Texas A&M University

Typ

Artikel

Journal

IEEE transactions on power systems

Band

37

Seiten

4720-4731

Anzahl der Seiten

12

ISSN

0885-8950

Publikationsdatum

25.02.2022

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Energieanlagenbau und Kraftwerkstechnik, Elektrotechnik und Elektronik

Ziele für nachhaltige Entwicklung

SDG 7 – Erschwingliche und saubere Energie

Elektronische Version(en)

https://doi.org/10.1109/TPWRS.2022.3154708 (Zugang: Geschlossen)