SDP-based Optimal Power Flow with Steady-State Voltage Stability Constraints

Chong Wang, Bai Cui, Zhaoyu Wang, Chenghong Gu

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31 Citations (SciVal)
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This paper proposes a voltage stability-constrained optimal power flow (VSC-OPF) model based on semidefinite programming (SDP) relaxation. The minimum singular value of the power flow Jacobian is used as a steady-state voltage stability index, which is incorporated into the SDP formulation. To model an ADP constraint for voltage stability, an auxiliary matrix based on the power flow Jacobian is constructed, and this auxiliary matrix can be reformulated as a function of the semidefinite variable matrix defined for SDP relaxation. The resulting SDP-based VSC-OPF model is formulated and solved via the solver SDPT3 and the toolbox YALMIP. Extensive simulations on IEEE test systems validate the effectiveness of the proposed model.

Original languageEnglish
Article number8439024
Pages (from-to)4637-4647
Number of pages11
JournalIEEE Transactions on Smart Grid
Issue number4
Early online date17 Aug 2018
Publication statusPublished - 1 Jul 2019


  • optimal power flow
  • semidefinite programming
  • voltage stability.

ASJC Scopus subject areas

  • General Computer Science


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