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

Chong Wang; Bai Cui; Zhaoyu Wang; Chenghong Gu

doi:10.1109/TSG.2018.2866068

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

Chong Wang, Bai Cui, Zhaoyu Wang, Chenghong Gu

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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
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	https://doi.org/10.1109/TSG.2018.2866068
Publication status	Published - 1 Jul 2019

Keywords

optimal power flow
semidefinite programming
voltage stability.

ASJC Scopus subject areas

Computer Science(all)

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10.1109/TSG.2018.2866068

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

Abstract

Keywords

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