Optimization under uncertainty;
Stochastic programming;
Conditional value at risk;
Energy;
Virtual power plant;
VALUE-AT-RISK;
STOCHASTIC PROGRAMS;
OPTIMAL OPERATION;
OPTIMIZATION;
UNIT;
DECOMPOSITION;
INVOLVEMENT;
ALLOCATION;
SYSTEM;
ENERGY;
D O I:
10.1016/j.cor.2017.12.007
中图分类号:
TP39 [计算机的应用];
学科分类号:
081203 ;
0835 ;
摘要:
In this paper, we address the optimal operation of a virtual power plant using stochastic programming. We consider one risk-neutral and two risk-averse formulations that rely on the conditional value at risk. To handle large-scale problems, we implement two decomposition methods with variants using single-and multiple-cuts. We propose the utilization of wind ensembles obtained from the European Centre for Medium Range Weather Forecasts (ECMWF) to quantify the uncertainty of the wind forecast. We present detailed results relative to the computational performance of the risk-averse formulations, the decomposition methods, and risk management and sensitivities analysis as a function of the number of scenarios and risk parameters. The implementation of the two decomposition methods relies on the parallel solution of subproblems, which turns out to be paramount for computational efficiency. The results show that one of the two decomposition methods is the most efficient. (C) 2017 Elsevier Ltd. All rights reserved.
机构:
Univ Castilla La Mancha, Dept Ingn Elect & Elect, Escuela Tecn Super Ingn Ind, E-13071 Ciudad Real, SpainUniv Castilla La Mancha, Dept Ingn Elect & Elect, Escuela Tecn Super Ingn Ind, E-13071 Ciudad Real, Spain
Arroyo, JM
Conejo, AJ
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机构:
Univ Castilla La Mancha, Dept Ingn Elect & Elect, Escuela Tecn Super Ingn Ind, E-13071 Ciudad Real, SpainUniv Castilla La Mancha, Dept Ingn Elect & Elect, Escuela Tecn Super Ingn Ind, E-13071 Ciudad Real, Spain
机构:
Technion Israel Inst Technol, Fac Ind Engn & Management, IL-32000 Haifa, IsraelTechnion Israel Inst Technol, Fac Ind Engn & Management, IL-32000 Haifa, Israel
Ben-Tal, A
Nemirovski, A
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机构:
Technion Israel Inst Technol, Fac Ind Engn & Management, IL-32000 Haifa, IsraelTechnion Israel Inst Technol, Fac Ind Engn & Management, IL-32000 Haifa, Israel
机构:
MIT, Alfred P Sloan Sch Management, Cambridge, MA 02139 USA
MIT, Ctr Operat Res, Cambridge, MA 02139 USAMIT, Alfred P Sloan Sch Management, Cambridge, MA 02139 USA
Bertsimas, Dimitris
Brown, David B.
论文数: 0引用数: 0
h-index: 0
机构:
Duke Univ, Fuqua Sch Business, Durham, NC 27708 USAMIT, Alfred P Sloan Sch Management, Cambridge, MA 02139 USA
Brown, David B.
Caramanis, Constantine
论文数: 0引用数: 0
h-index: 0
机构:
Univ Texas Austin, Dept Elect & Comp Engn, Austin, TX 78712 USAMIT, Alfred P Sloan Sch Management, Cambridge, MA 02139 USA
机构:
Univ Castilla La Mancha, Dept Ingn Elect & Elect, Escuela Tecn Super Ingn Ind, E-13071 Ciudad Real, SpainUniv Castilla La Mancha, Dept Ingn Elect & Elect, Escuela Tecn Super Ingn Ind, E-13071 Ciudad Real, Spain
Arroyo, JM
Conejo, AJ
论文数: 0引用数: 0
h-index: 0
机构:
Univ Castilla La Mancha, Dept Ingn Elect & Elect, Escuela Tecn Super Ingn Ind, E-13071 Ciudad Real, SpainUniv Castilla La Mancha, Dept Ingn Elect & Elect, Escuela Tecn Super Ingn Ind, E-13071 Ciudad Real, Spain
机构:
Technion Israel Inst Technol, Fac Ind Engn & Management, IL-32000 Haifa, IsraelTechnion Israel Inst Technol, Fac Ind Engn & Management, IL-32000 Haifa, Israel
Ben-Tal, A
Nemirovski, A
论文数: 0引用数: 0
h-index: 0
机构:
Technion Israel Inst Technol, Fac Ind Engn & Management, IL-32000 Haifa, IsraelTechnion Israel Inst Technol, Fac Ind Engn & Management, IL-32000 Haifa, Israel
机构:
MIT, Alfred P Sloan Sch Management, Cambridge, MA 02139 USA
MIT, Ctr Operat Res, Cambridge, MA 02139 USAMIT, Alfred P Sloan Sch Management, Cambridge, MA 02139 USA
Bertsimas, Dimitris
Brown, David B.
论文数: 0引用数: 0
h-index: 0
机构:
Duke Univ, Fuqua Sch Business, Durham, NC 27708 USAMIT, Alfred P Sloan Sch Management, Cambridge, MA 02139 USA
Brown, David B.
Caramanis, Constantine
论文数: 0引用数: 0
h-index: 0
机构:
Univ Texas Austin, Dept Elect & Comp Engn, Austin, TX 78712 USAMIT, Alfred P Sloan Sch Management, Cambridge, MA 02139 USA