Semidefinite programming for optimal power flow problems

被引：407

作者：

Bai, Xiaoqing ^{[1
]}

Wei, Hua ^{[1
]}

Fujisawa, Katsuki ^{[2
]}

Wang, Yong ^{[3
]}

机构：

[1] Guangxi Univ, Coll Elect Engn, Guangxi, Peoples R China

[2] Tokyo Denki Univ, Dept Math Sci, Saitama, Japan

[3] Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA

来源：

INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS | 2008年 / 30卷 / 6-7期

基金：

中国国家自然科学基金;

关键词：

optimal power flow; interior point method; semidefinite programming;

D O I：

10.1016/j.ijepes.2007.12.003

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper presents a new solution using the semidefinite programming (SDP) technique to solve the optimal power flow problems (OPF). The proposed method involves reformulating the OPF problems into a SDP model and developing an algorithm of interior point method (IPM) for SDP. That is said, OPF in a nonlinear programming (NP) model, which is a nonconvex problem, has been accurately transformed into a SDP model which is a convex problem. Based on SDP, the OPF problem can be solved by primal-dual interior point algorithms which possess superlinear convergence. The proposed method has been tested with four kinds of objective functions of OPF. Extensive numerical simulations on test systems with sizes ranging from 4 to 300 buses have shown that this method is promising for OPF problems due to its robustness. (C) 2008 Published by Elsevier Ltd.

引用

页码：383 / 392

页数：10

共 33 条

[1]

Adler I., 1995, PRIMAL DUAL INTERIOR

[2]

ALIZADEH F, 1996, 721 NEW YORK U COMP

[3]

Alizadeh F., 1991, THESIS U MINNESOTA

[4]

ALKIRE B, 2000, HANDLING NONNEGATIVE

[5]

ALKIRE B, 2001, CONVEX OPTIMIZATION

[6] Solving large-scale sparse semidefinite programs for combinatorial optimization [J].

Benson, SJ ;

Ye, YY ;

Zhang, X .

SIAM JOURNAL ON OPTIMIZATION, 2000, 10 (02) :443-461

[7]

Carpentier J., 1962, B SOC FRANCOISE ELEC, V3, P431

[8] OPTIMAL POWER FLOW SOLUTIONS [J].

DOMMEL, HW ;

TINNEY, WF .

IEEE TRANSACTIONS ON POWER APPARATUS AND SYSTEMS, 1968, PA87 (10) :1866-+

[9] Medium-term hydrothermal coordination by semidefinite programming [J].

Fuentes-Loyola, R ;

Quintana, VH .

IEEE TRANSACTIONS ON POWER SYSTEMS, 2003, 18 (04) :1515-1522

[10] Exploiting sparsity in primal-dual interior-point methods for semidefinite programming [J].

Fujisawa, K ;

Kojima, M ;

Nakata, K .

MATHEMATICAL PROGRAMMING, 1997, 79 (1-3) :235-253

← 1 2 3 4 →