Improved BFGS method for optimal power flow calculation with transient stability constraints

Y. Xia; Ka Wing Chan; M. Liu

doi:10.1109/PES.2005.1489547

Improved BFGS method for optimal power flow calculation with transient stability constraints

The Hong Kong Polytechnic University

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

Abstract

In this paper, optimal power flow (OPF) is analyzed and determined with transient stability constraints. PEBS (potential energy boundary surface) method is applied to assess the transient stability. The related transient stability constraints represented by a dot product are introduced in the OPF model. Though OPF with transient stability constraints is a semi-infinite programming problem, it can be transformed to a standard programming problem by transcription techniques. Improved Broyden-Fletcher-Goldfarb-Shanno (BFGS) method is adopted to simplify the complicated derivation of Hessian matrix. It splits the Hessian matrix into computable and approximated parts with the approximated part being updated iteratively. With superlinear convergence property, the computation burden is reduced. The proposed algorithm has been fully validated on the New England 39-bus test system.

Original language	English
Title of host publication	IEEE Power Engineering Society General Meeting, 2005, 12-16 June 2005
Publisher	IEEE
Pages	434-439
Number of pages	6
ISBN (Print)	0780391578
DOIs	https://doi.org/10.1109/PES.2005.1489547
Publication status	Published - 2005

Keywords

Hessian matrices
Load flow
Power system transient stability

More information

10.1109/PES.2005.1489547

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title = "Improved BFGS method for optimal power flow calculation with transient stability constraints",

abstract = "In this paper, optimal power flow (OPF) is analyzed and determined with transient stability constraints. PEBS (potential energy boundary surface) method is applied to assess the transient stability. The related transient stability constraints represented by a dot product are introduced in the OPF model. Though OPF with transient stability constraints is a semi-infinite programming problem, it can be transformed to a standard programming problem by transcription techniques. Improved Broyden-Fletcher-Goldfarb-Shanno (BFGS) method is adopted to simplify the complicated derivation of Hessian matrix. It splits the Hessian matrix into computable and approximated parts with the approximated part being updated iteratively. With superlinear convergence property, the computation burden is reduced. The proposed algorithm has been fully validated on the New England 39-bus test system.",

keywords = "Hessian matrices, Load flow, Power system transient stability",

author = "Y. Xia and Chan, {Ka Wing} and M. Liu",

year = "2005",

doi = "10.1109/PES.2005.1489547",

language = "English",

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pages = "434--439",

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Improved BFGS method for optimal power flow calculation with transient stability constraints. / Xia, Y.; Chan, Ka Wing; Liu, M.
IEEE Power Engineering Society General Meeting, 2005, 12-16 June 2005. IEEE, 2005. p. 434-439.

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

TY - GEN

T1 - Improved BFGS method for optimal power flow calculation with transient stability constraints

AU - Xia, Y.

AU - Chan, Ka Wing

AU - Liu, M.

PY - 2005

Y1 - 2005

N2 - In this paper, optimal power flow (OPF) is analyzed and determined with transient stability constraints. PEBS (potential energy boundary surface) method is applied to assess the transient stability. The related transient stability constraints represented by a dot product are introduced in the OPF model. Though OPF with transient stability constraints is a semi-infinite programming problem, it can be transformed to a standard programming problem by transcription techniques. Improved Broyden-Fletcher-Goldfarb-Shanno (BFGS) method is adopted to simplify the complicated derivation of Hessian matrix. It splits the Hessian matrix into computable and approximated parts with the approximated part being updated iteratively. With superlinear convergence property, the computation burden is reduced. The proposed algorithm has been fully validated on the New England 39-bus test system.

AB - In this paper, optimal power flow (OPF) is analyzed and determined with transient stability constraints. PEBS (potential energy boundary surface) method is applied to assess the transient stability. The related transient stability constraints represented by a dot product are introduced in the OPF model. Though OPF with transient stability constraints is a semi-infinite programming problem, it can be transformed to a standard programming problem by transcription techniques. Improved Broyden-Fletcher-Goldfarb-Shanno (BFGS) method is adopted to simplify the complicated derivation of Hessian matrix. It splits the Hessian matrix into computable and approximated parts with the approximated part being updated iteratively. With superlinear convergence property, the computation burden is reduced. The proposed algorithm has been fully validated on the New England 39-bus test system.

KW - Hessian matrices

KW - Load flow

KW - Power system transient stability

U2 - 10.1109/PES.2005.1489547

DO - 10.1109/PES.2005.1489547

M3 - Conference article published in proceeding or book

SN - 0780391578

SP - 434

EP - 439

BT - IEEE Power Engineering Society General Meeting, 2005, 12-16 June 2005

PB - IEEE

ER -

Improved BFGS method for optimal power flow calculation with transient stability constraints

Abstract

Keywords

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