Two-stage robust optimization of power cost minimization problem in gunbarrel natural gas networks by approximate dynamic programming

被引:13
作者
Meng, Yi-Ze [1 ]
Chen, Ruo-Ran [1 ]
Deng, Tian-Hu [1 ]
机构
[1] Tsinghua Univ, Dept Ind Engn, Beijing 100084, Peoples R China
基金
美国国家科学基金会;
关键词
Natural gas; Gunbarrel gas pipeline networks; Robust optimization; Approximate dynamic programming; FUEL COST; TRANSMISSION; CHINA;
D O I
10.1016/j.petsci.2021.09.048
中图分类号
TE [石油、天然气工业]; TK [能源与动力工程];
学科分类号
0807 ; 0820 ;
摘要
In short-term operation of natural gas network, the impact of demand uncertainty is not negligible. To address this issue we propose a two-stage robust model for power cost minimization problem in gun -barrel natural gas networks. The demands between pipelines and compressor stations are uncertain with a budget parameter, since it is unlikely that all the uncertain demands reach the maximal deviation simultaneously. During solving the two-stage robust model we encounter a bilevel problem which is challenging to solve. We formulate it as a multi-dimensional dynamic programming problem and pro-pose approximate dynamic programming methods to accelerate the calculation. Numerical results based on real network in China show that we obtain a speed gain of 7 times faster in average without compromising optimality compared with original dynamic programming algorithm. Numerical results also verify the advantage of robust model compared with deterministic model when facing uncertainties. These findings offer short-term operation methods for gunbarrel natural gas network management to handle with uncertainties.(c) 2022 The Authors. Publishing services by Elsevier B.V. on behalf of KeAi Communications Co. Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/ 4.0/).
引用
收藏
页码:2497 / 2517
页数:21
相关论文
共 44 条
[1]  
[Anonymous], 2011, 25 AAAI C ART INT, DOI 10.5555/2900423.2900483
[2]   Decomposable robust two-stage optimization: An application to gas network operations under uncertainty [J].
Assmann, Denis ;
Liers, Frauke ;
Stingl, Michael .
NETWORKS, 2019, 74 (01) :40-61
[3]   DECIDING ROBUST FEASIBILITY AND INFEASIBILITY USING A SET CONTAINMENT APPROACH: AN APPLICATION TO STATIONARY PASSIVE GAS NETWORK OPERATIONS [J].
Assmann, Denis ;
Liers, Frauke ;
Stingl, Michael ;
Vera, Juan C. .
SIAM JOURNAL ON OPTIMIZATION, 2018, 28 (03) :2489-2517
[4]   SOME PROPERTIES OF THE BILEVEL PROGRAMMING PROBLEM [J].
BARD, JF .
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1991, 68 (02) :371-378
[5]   Infinite-horizon policy-gradient estimation [J].
Baxter, J ;
Bartlett, PL .
JOURNAL OF ARTIFICIAL INTELLIGENCE RESEARCH, 2001, 15 :319-350
[6]   Managing demand uncertainty in natural gas transmission networks [J].
Behrooz, Hesam Ahmadian .
JOURNAL OF NATURAL GAS SCIENCE AND ENGINEERING, 2016, 34 :100-111
[7]   Adjustable robust solutions of uncertain linear programs [J].
Ben-Tal, A ;
Goryashko, A ;
Guslitzer, E ;
Nemirovski, A .
MATHEMATICAL PROGRAMMING, 2004, 99 (02) :351-376
[8]   The price of robustness [J].
Bertsimas, D ;
Sim, M .
OPERATIONS RESEARCH, 2004, 52 (01) :35-53
[9]   Robust discrete optimization and network flows [J].
Bertsimas, D ;
Sim, M .
MATHEMATICAL PROGRAMMING, 2003, 98 (1-3) :49-71
[10]   Oil and gas cooperation between China and Central Asia in an environment of political and resource competition [J].
Bin, Hu .
PETROLEUM SCIENCE, 2014, 11 (04) :596-605