Abstract
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 language | English |
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Article number | 8439024 |
Pages (from-to) | 4637-4647 |
Number of pages | 11 |
Journal | IEEE Transactions on Smart Grid |
Volume | 10 |
Issue number | 4 |
Early online date | 17 Aug 2018 |
DOIs | |
Publication status | Published - 1 Jul 2019 |
Keywords
- optimal power flow
- semidefinite programming
- voltage stability.
ASJC Scopus subject areas
- Computer Science(all)