Improving computational performance for estimating voltage stability margin in large power systems via a penalized second-order cone programming

Long Fu; Yaran Li; Wei Wang; Tongming Liu; Zhao Yang Dong; Keren Yu

doi:10.1016/j.segan.2025.101621

Improving computational performance for estimating voltage stability margin in large power systems via a penalized second-order cone programming

Long Fu^*
, Yaran Li
, Wei Wang
, Tongming Liu
, Zhao Yang Dong
, Keren Yu

^*Corresponding author for this work

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

1 Citation (Scopus)

Abstract

Precisely estimating voltage stability margin (VSM) in large power systems is challenging due to problem size and complexity. In this paper, a penalized second-order cone programming (SOCP) for estimating VSM is proposed based on a phase angle approximation and sufficient cycle condition which are effective in tightening angle relaxations whilst avoiding increased computational burden. An appropriate trade-off between accuracy and efficiency can be achieved by the proposed SOCP which improves the computational performance for estimating VSM in large power systems. © 2025 Elsevier Ltd

Original language	English
Article number	101621
Journal	Sustainable Energy, Grids and Networks
Volume	42
Online published	20 Jan 2025
DOIs	https://doi.org/10.1016/j.segan.2025.101621
Publication status	Published - Jun 2025

Funding

This work was supported by the 2022 Jiangsu Funding Program for Excellent Postdoctoral Talent, Jiangsu, China under Grant 2022ZB634, in part by the Global STEM Professorship, Hong Kong, China, and in part by the Start-Up Grant of CityU, Hong Kong, China .

Research Keywords

Approximation
Conic relaxation
Maximum loading level
Optimal power flow
Static voltage stability

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title = "Improving computational performance for estimating voltage stability margin in large power systems via a penalized second-order cone programming",

abstract = "Precisely estimating voltage stability margin (VSM) in large power systems is challenging due to problem size and complexity. In this paper, a penalized second-order cone programming (SOCP) for estimating VSM is proposed based on a phase angle approximation and sufficient cycle condition which are effective in tightening angle relaxations whilst avoiding increased computational burden. An appropriate trade-off between accuracy and efficiency can be achieved by the proposed SOCP which improves the computational performance for estimating VSM in large power systems. {\textcopyright} 2025 Elsevier Ltd",

keywords = "Approximation, Conic relaxation, Maximum loading level, Optimal power flow, Static voltage stability",

author = "Long Fu and Yaran Li and Wei Wang and Tongming Liu and Dong, \{Zhao Yang\} and Keren Yu",

year = "2025",

month = jun,

doi = "10.1016/j.segan.2025.101621",

language = "English",

volume = "42",

journal = "Sustainable Energy, Grids and Networks",

issn = "2352-4677",

publisher = "Elsevier Ltd.",

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TY - JOUR

T1 - Improving computational performance for estimating voltage stability margin in large power systems via a penalized second-order cone programming

AU - Fu, Long

AU - Li, Yaran

AU - Wang, Wei

AU - Liu, Tongming

AU - Dong, Zhao Yang

AU - Yu, Keren

PY - 2025/6

Y1 - 2025/6

N2 - Precisely estimating voltage stability margin (VSM) in large power systems is challenging due to problem size and complexity. In this paper, a penalized second-order cone programming (SOCP) for estimating VSM is proposed based on a phase angle approximation and sufficient cycle condition which are effective in tightening angle relaxations whilst avoiding increased computational burden. An appropriate trade-off between accuracy and efficiency can be achieved by the proposed SOCP which improves the computational performance for estimating VSM in large power systems. © 2025 Elsevier Ltd

AB - Precisely estimating voltage stability margin (VSM) in large power systems is challenging due to problem size and complexity. In this paper, a penalized second-order cone programming (SOCP) for estimating VSM is proposed based on a phase angle approximation and sufficient cycle condition which are effective in tightening angle relaxations whilst avoiding increased computational burden. An appropriate trade-off between accuracy and efficiency can be achieved by the proposed SOCP which improves the computational performance for estimating VSM in large power systems. © 2025 Elsevier Ltd

KW - Approximation

KW - Conic relaxation

KW - Maximum loading level

KW - Optimal power flow

KW - Static voltage stability

UR - https://www.scopus.com/pages/publications/85217939559

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85217939559&origin=recordpage

U2 - 10.1016/j.segan.2025.101621

DO - 10.1016/j.segan.2025.101621

M3 - RGC 21 - Publication in refereed journal

SN - 2352-4677

VL - 42

JO - Sustainable Energy, Grids and Networks

JF - Sustainable Energy, Grids and Networks

M1 - 101621

ER -

Improving computational performance for estimating voltage stability margin in large power systems via a penalized second-order cone programming

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