Mathematical programming formulations for the alternating current optimal power flow problem

被引：19
|
作者：
Bienstock, Dan [1 ]
Escobar, Mauro [2 ]
Gentile, Claudio [3 ]
Liberti, Leo [2 ]
机构：
[1] Columbia Univ, IEOR, New York, NY USA
[2] Ecole Polytech, Inst Polytech Paris, CNRS, LIX, Palaiseau, France
[3] CNR, IASI, Rome, Italy
来源：
4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH | 2020年 / 18卷 / 03期
关键词：
ACOPF; Smart grid; Complex numbers; INTERIOR-POINT METHOD; POLYNOMIAL OPTIMIZATION; RELAXATIONS; NETWORKS; ALGORITHM; REFORMULATION; SECURITY; SPARSITY; SQUARES; BRANCH;
D O I：
10.1007/s10288-020-00455-w
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
Power flow refers to the injection of power on the lines of an electrical grid, so that all the injections at the nodes form a consistent flow within the network. Optimality, in this setting, is usually intended as the minimization of the cost of generating power. Current can either be direct or alternating: while the former yields approximate linear programming formulations, the latter yields formulations of a much more interesting sort: namely, nonconvex nonlinear programs in complex numbers. In this technical survey, we derive formulation variants and relaxations of the alternating current optimal power flow problem.
引用
收藏
页码：249 / 292
页数：44
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