Energy and reserve dispatch with distributionally robust joint chance constraints

被引:57
|
作者
Ordoudis, Christos [1 ]
Nguyen, Viet Anh [2 ]
Kuhn, Daniel [3 ]
Pinson, Pierre [1 ]
机构
[1] Tech Univ Denmark DTU, Lyngby, Denmark
[2] Stanford Univ, Stanford, CA 94305 USA
[3] Ecole Polytech Fed Lausanne EPFL, Lausanne, Switzerland
基金
瑞士国家科学基金会;
关键词
Distributionally robust optimization; Energy and reserve dispatch; Joint chance constraints; Wasserstein metric; OPTIMAL POWER-FLOW; OPTIMIZATION; ELECTRICITY; UNCERTAINTY;
D O I
10.1016/j.orl.2021.01.012
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
We develop a two-stage stochastic program for energy and reserve dispatch of a joint power and gas system with a high penetration of renewables. Data-driven distributionally robust chance constraints ensure that there is no load shedding and renewable spillage with high probability. We solve this problem efficiently using conditional value-at-risk approximations and linear decision rules. Out-of-sample experiments show that this model dominates the corresponding stochastic program without chance constraints that models the effects of load shedding and renewable spillage explicitly. (C) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页码:291 / 299
页数:9
相关论文
共 50 条
  • [1] Games with distributionally robust joint chance constraints
    Peng, Shen
    Lisser, Abdel
    Singh, Vikas Vikram
    Gupta, Nalin
    Balachandar, Eshan
    OPTIMIZATION LETTERS, 2021, 15 (06) : 1931 - 1953
  • [2] Games with distributionally robust joint chance constraints
    Shen Peng
    Abdel Lisser
    Vikas Vikram Singh
    Nalin Gupta
    Eshan Balachandar
    Optimization Letters, 2021, 15 : 1931 - 1953
  • [3] Optimized Bonferroni approximations of distributionally robust joint chance constraints
    Xie, Weijun
    Ahmed, Shabbir
    Jiang, Ruiwei
    MATHEMATICAL PROGRAMMING, 2022, 191 (01) : 79 - 112
  • [4] Optimized Bonferroni approximations of distributionally robust joint chance constraints
    Weijun Xie
    Shabbir Ahmed
    Ruiwei Jiang
    Mathematical Programming, 2022, 191 : 79 - 112
  • [5] Distributionally Robust Co-Optimization of Energy and Reserve Dispatch
    Wei, Wei
    Liu, Feng
    Mei, Shengwei
    IEEE TRANSACTIONS ON SUSTAINABLE ENERGY, 2016, 7 (01) : 289 - 300
  • [6] Wasserstein distributionally robust chance-constrained optimization for energy and reserve dispatch: An exact and physically-bounded formulation
    Arrigo, Adriano
    Ordoudis, Christos
    Kazempour, Jalal
    De Greve, Zacharie
    Toubeau, Jean-Francois
    Vallee, Francois
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2022, 296 (01) : 304 - 322
  • [7] Distributionally robust joint chance constraints with second-order moment information
    Zymler, Steve
    Kuhn, Daniel
    Rustem, Berc
    MATHEMATICAL PROGRAMMING, 2013, 137 (1-2) : 167 - 198
  • [8] Stochastic MPC with Distributionally Robust Chance Constraints
    Mark, Christoph
    Liu, Steven
    IFAC PAPERSONLINE, 2020, 53 (02): : 7136 - 7141
  • [9] Distributionally robust joint chance constraints with second-order moment information
    Steve Zymler
    Daniel Kuhn
    Berç Rustem
    Mathematical Programming, 2013, 137 : 167 - 198
  • [10] Data-Driven Distributionally Robust Energy-Reserve-Storage Dispatch
    Duan, Chao
    Jiang, Lin
    Fang, Wanliang
    Liu, Jun
    Liu, Shiming
    IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2018, 14 (07) : 2826 - 2836