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 | |
| Publication status | Published - 1 Jul 2019 |
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Keywords
- optimal power flow
- semidefinite programming
- voltage stability.
ASJC Scopus subject areas
- Computer Science(all)
Cite this
SDP-based Optimal Power Flow with Steady-State Voltage Stability Constraints. / Wang, Chong; Cui, Bai; Wang, Zhaoyu; Gu, Chenghong.
In: IEEE Transactions on Smart Grid, Vol. 10, No. 4, 8439024, 01.07.2019, p. 4637-4647.Research output: Contribution to journal › Article
}
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
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 -