Transient Stability-Constrained Optimal Power Flow Calculation with Extremely Unstable Conditions Using Energy Sensitivity Method

Shiwei Xia, Zhaohao Ding, Mohammad Shahidehpour, Ka Wing Chan, Siqi Bu, Gengyin Li

Research output: Journal article publicationJournal articleAcademic researchpeer-review

7 Citations (Scopus)


In this paper, a transient stability margin is proposed in terms of the kinetic energy of power systems in extremely unstable conditions. A unified energy-based transient stability constraint is formed for both normal and extremely unstable conditions in the proposed transient stability-constrained optimal power flow (TSCOPF) model. A divide-and-conquer approach is presented to solve TSCOPF by decomposing it into optimal power flow and transient stability constraint formation subproblems. The former is solved by an interior point method and the latter is derived by an energy sensitivity technique. Furthermore, an accuracy-based perturbation strategy is proposed to address the system over-stabilization issue, and a parallel calculation technique is implemented to speed up the TSCOPF solution. The effectiveness of the proposed approach is investigated and the results are validated using the New England 10-generator and IEEE 50-generator systems under extremely unstable conditions.

Original languageEnglish
Article number9120183
Pages (from-to)355-365
Number of pages11
JournalIEEE Transactions on Power Systems
Issue number1
Publication statusPublished - Jan 2021


  • accuracy-based perturbation strategy
  • energy sensitivity
  • extremely unstable condition
  • Optimal power flow
  • transient stability

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering

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