Multistage stochastic programming model for electric power capacity expansion problem

被引:26
作者
Shiina, T
Birge, JR
机构
[1] Cent Res Inst Elect Power Ind, Commun & Informat Res Lab, Komae, Tokyo 2018511, Japan
[2] Northwestern Univ, Dept Ind Engn & Management Sci, McCormick Sch Engn & Appl Sci, Evanston, IL 60208 USA
关键词
stochastic programming; optimization under uncertainty; electric power capacity expansion problem; L-shaped method; block separable recourse;
D O I
10.1007/BF03167428
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is concerned with power system expansion planning under uncertainty. In our approach, integer programming and stochastic programming provide a basic framework. We develop a multistage stochastic programming model in which some of the variables are restricted to integer values. By utilizing the special property of the problem, called block separable recourse, the problem is transformed into a two-stage stochastic program with recourse. The electric power capacity expansion problem is reformulated as the problem with first stage integer variables and continuous second stage variables. We propose an L-shaped algorithm to solve the problem.
引用
收藏
页码:379 / 397
页数:19
相关论文
共 19 条
[1]   MODELS FOR DETERMINING LEAST-COST INVESTMENTS IN ELECTRICITY SUPPLY [J].
ANDERSON, D .
BELL JOURNAL OF ECONOMICS AND MANAGEMENT SCIENCE, 1972, 3 (01) :267-299
[2]  
Birge J. R., 1997, INFORMS Journal on Computing, V9, P111, DOI 10.1287/ijoc.9.2.111
[3]  
Birge J. R., 1997, INTRO STOCHASTIC PRO
[4]   A parallel implementation of the nested decomposition algorithm for multistage stochastic linear programs [J].
Birge, JR ;
Donohue, CJ ;
Holmes, DF ;
Svintsitski, OG .
MATHEMATICAL PROGRAMMING, 1996, 75 (02) :327-352
[5]   DECOMPOSITION AND PARTITIONING METHODS FOR MULTISTAGE STOCHASTIC LINEAR-PROGRAMS [J].
BIRGE, JR .
OPERATIONS RESEARCH, 1985, 33 (05) :989-1007
[6]   PLANNING FOR NEW ELECTRIC GENERATION TECHNOLOGIES A STOCHASTIC DYNAMIC-PROGRAMMING APPROACH [J].
DAPKUS, WD ;
BOWE, TR .
IEEE TRANSACTIONS ON POWER APPARATUS AND SYSTEMS, 1984, 103 (06) :1447-1453
[7]   LINEAR-PROGRAMMING APPLICATIONS TO POWER-SYSTEM ECONOMICS, PLANNING AND OPERATIONS [J].
DELSON, JK ;
SHAHIDEHPOUR, SM ;
BLOOM, JA ;
MANHIRE, B ;
SMITH, WC .
IEEE TRANSACTIONS ON POWER SYSTEMS, 1992, 7 (03) :1155-1163
[8]  
FOURER R, 1993, AMPL MODELLING LANGA
[9]  
FRAUENDORGER H, 1993, OPTIMIZATION PLANNIN
[10]   POWER-SYSTEM EXPANSION PLANNING UNDER UNCERTAINTY [J].
GORENSTIN, BG ;
CAMPODONICO, NM ;
COSTA, JP ;
PEREIRA, MVF ;
DEEB, N .
IEEE TRANSACTIONS ON POWER SYSTEMS, 1993, 8 (01) :129-136