Journal
IEEE TRANSACTIONS ON SMART GRID
Volume 10, Issue 4, Pages 4637-4647Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSG.2018.2866068
Keywords
Optimal power flow; semidefinite programming; voltage stability
Categories
Funding
- U.S. Department of Energy Office of Electricity Delivery and Energy Reliability
- National Science Foundation [ECCS 1609080]
- Power System Engineering and Research Center [PSERC S-70]
- EPSRC [EP/M000141/1] Funding Source: UKRI
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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.
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