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

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

44 Downloads (Pure)

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)

Access to Document

10.1109/TSG.2018.2866068

FinalVersion (1)
© 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
Accepted author manuscript, 282 KB

Link to publication in Scopus

Fingerprint Dive into the research topics of 'SDP-based Optimal Power Flow with Steady-State Voltage Stability Constraints'. Together they form a unique fingerprint.

Cite this

@article{aef6682c4ac84aefa6f9591d0214f6fd,

title = "SDP-based Optimal Power Flow with Steady-State Voltage Stability Constraints",

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.",

keywords = "optimal power flow, semidefinite programming, voltage stability.",

author = "Chong Wang and Bai Cui and Zhaoyu Wang and Chenghong Gu",

year = "2019",

month = jul,

day = "1",

doi = "10.1109/TSG.2018.2866068",

language = "English",

volume = "10",

pages = "4637--4647",

journal = "IEEE Transactions on Smart Grids",

issn = "1949-3053",

publisher = "IEEE",

number = "4",

}

TY - JOUR

T1 - SDP-based Optimal Power Flow with Steady-State Voltage Stability Constraints

AU - Wang, Chong

AU - Cui, Bai

AU - Wang, Zhaoyu

AU - Gu, Chenghong

PY - 2019/7/1

Y1 - 2019/7/1

N2 - 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.

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.

KW - optimal power flow

KW - semidefinite programming

KW - voltage stability.

UR - http://www.scopus.com/inward/record.url?scp=85051814983&partnerID=8YFLogxK

U2 - 10.1109/TSG.2018.2866068

DO - 10.1109/TSG.2018.2866068

M3 - Article

AN - SCOPUS:85051814983

VL - 10

SP - 4637

EP - 4647

JO - IEEE Transactions on Smart Grids

JF - IEEE Transactions on Smart Grids

SN - 1949-3053

IS - 4

M1 - 8439024

ER -