Semidefinite programming solution of economic dispatch problem with non smooth, non-convex cost functions

被引:32
作者
Alawode, K. O. [1 ]
Jubril, A. M. [2 ]
Kehinde, L. O. [2 ]
Ogunbona, P. O. [3 ]
机构
[1] Osun State Univ, Dept Elect & Elect Engn, Osogbo, Nigeria
[2] Obafemi Awolowo Univ, Dept Elect & Elect Engn, Ife, Nigeria
[3] Univ Wollongong, Sch Comp & Informat Technol, Wollongong, NSW, Australia
关键词
Economic dispatch; Semidefinite programming; Non-convex; Non-smooth cost function; Convex iteration; Branch-and-bound; OPTIMAL POWER-FLOW; PROHIBITED OPERATING ZONES; GROUP SEARCH OPTIMIZER; LOAD DISPATCH; GENETIC ALGORITHM; ELECTRICITY DISPATCH; NEURAL-NETWORK; NONSMOOTH; HYBRID; UNITS;
D O I
10.1016/j.epsr.2018.07.026
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
The paper presents a solution to economic dispatch (ED) problems with non-convex, non-smooth fuel cost functions, which characterize practical generating units. A method involving a unified semidefmite programming (SDP) formulation of different ED problems through cost function decomposition was presented. The solution of the resulting rank-relaxed SDP problem was refined to achieve the rank constraint using the method of convex iteration and branch-and-bound technique. The SDP method was investigated on some test problems in the literature. The results showed that the SDP method compared favorably with other methods, and can efficiently solve non-convex and non-smooth ED problems.
引用
收藏
页码:178 / 187
页数:10
相关论文
共 55 条
[1]  
[Anonymous], 2004, CINEMA AESTHETICS SU
[2]  
[Anonymous], 2013, Power Generation, Operation and Control
[3]  
[Anonymous], 2016, CVX MATLAB SOFTWARE
[4]  
[Anonymous], 2004, P IEEE INT S COMPUTE
[5]  
[Anonymous], 1995, NONLINEAR PROGRAMMIN
[6]   Semidefinite programming for optimal power flow problems [J].
Bai, Xiaoqing ;
Wei, Hua ;
Fujisawa, Katsuki ;
Wang, Yong .
INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS, 2008, 30 (6-7) :383-392
[7]  
Ben-Tal Aharon., 2001, LECT MODEM CONVEX OP
[8]   A hybrid FCASO-SQP method for solving the economic dispatch problems with valve-point effects [J].
Cai, Jiejin ;
Li, Qiong ;
Li, Lixiang ;
Peng, Haipeng ;
Yang, Yixian .
ENERGY, 2012, 38 (01) :346-353
[9]   Improved genetic algorithm for power economic dispatch of units with valve-point effects and multiple fuels [J].
Chiang, CL .
IEEE TRANSACTIONS ON POWER SYSTEMS, 2005, 20 (04) :1690-1699
[10]  
Conejo A. J., 2006, Decomposition techniques in mathematical programming: Engineering and science applications