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

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

doi:10.1109/tpwrs.2022.3154708

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

Journal Article · 25 February 2022 · IEEE Transactions on Power Systems

DOI: https://doi.org/10.1109/tpwrs.2022.3154708 · OSTI ID:1854136

Wu, Dan ^[1]; Wang, Bin ^[2]; Wolter, Franz-Erich ^[3]; Xie, Le ^[4]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
National Renewable Energy Lab. (NREL), Golden, CO (United States)
Leibniz Univ., Hannover (Germany)
Texas A & M Univ., College Station, TX (United States)

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.

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Research Organization:: National Renewable Energy Laboratory (NREL), Golden, CO (United States)

Sponsoring Organization:: MISTI MIT-Germany Grant; NSF; USDOE Office of Energy Efficiency and Renewable Energy (EERE), Renewable Power Office. Solar Energy Technologies Office

Grant/Contract Number:: AC36-08GO28308; EE0009031

OSTI ID:: 1854136

Report Number(s):: NREL/JA-5C00-80424; MainId:42627; UUID:6adabf3c-4117-44cd-80b1-f35e30abd9bc; MainAdminID:63973

Journal Information:: IEEE Transactions on Power Systems, Journal Name: IEEE Transactions on Power Systems Journal Issue: 6 Vol. 37; ISSN 0885-8950

Publisher:: IEEECopyright Statement

Country of Publication:: United States

Language:: English

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24 POWER TRANSMISSION AND DISTRIBUTION
DER penetrated load
long-term voltage stability
manifold distance
tri-sectional approximation

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

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