

浏览全部资源
扫码关注微信
1.华南理工大学电力学院,广东省广州市 510640
2.广东省绿色能源技术重点实验室,广东省广州市 510630
Received:12 June 2023,
Revised:2023-10-22,
Published Online:19 December 2023,
Published:25 May 2024
移动端阅览
林舜江,冯祥勇,梁炜焜等.新能源电力系统不确定优化调度方法研究现状及展望[J].电力系统自动化,2024,48(10):20-41.
LIN Shunjiang,FENG Xiangyong,LIANG Weikun,et al.Research Status and Prospect of Uncertain Optimal Dispatch Methods for Renewable Energy Power Systems[J].Automation of Electric Power Systems,2024,48(10):20-41.
林舜江,冯祥勇,梁炜焜等.新能源电力系统不确定优化调度方法研究现状及展望[J].电力系统自动化,2024,48(10):20-41. DOI: 10.7500/AEPS20230612001.
LIN Shunjiang,FENG Xiangyong,LIANG Weikun,et al.Research Status and Prospect of Uncertain Optimal Dispatch Methods for Renewable Energy Power Systems[J].Automation of Electric Power Systems,2024,48(10):20-41. DOI: 10.7500/AEPS20230612001.
风电场和光伏电站出力的不确定性给电力系统优化调度带来很大技术挑战。文中主要介绍了考虑新能源不确定性的电力系统优化调度方法的研究现状及后续研究方向展望。首先,重点论述了各种不确定优化调度(UOD)方法,包括随机优化方法、鲁棒优化方法、随机鲁棒优化结合方法和基于人工智能技术的方法。其中,随机优化方法包括场景法、机会约束规划法和近似动态规划法;鲁棒优化方法包括传统鲁棒优化法和分布鲁棒优化法;随机鲁棒优化结合方法包括采样鲁棒优化法和分布鲁棒机会约束规划法。然后,介绍了每一种方法的优化模型形式、模型的转化和求解原理及其优缺点。最后,对UOD的后续重点研究方向进行展望,包括兼顾多个目标的UOD问题及多目标不确定优化方法、输配系统UOD问题及分布式不确定优化方法、考虑稳定性约束的UOD问题及含常微分方程约束的不确定优化方法、考虑管道传输动态的综合能源系统UOD问题及含偏微分方程约束的不确定优化方法。
The uncertainty of the power output of wind farms and photovoltaic power plants brings significant technical challenges to the optimal dispatch of power systems. This paper mainly introduces the research status and future research direction prospect of the optimal dispatch methods for power systems considering the uncertainty of renewable energy. Firstly
various uncertain optimal dispatch (UOD) methods are discussed including stochastic optimization (SO) methods
robust optimization (RO) methods
combined SO and RO methods and artificial intelligence technology-based methods. SO methods include scenario-based method
chance-constrained programming method and approximate dynamic programming method. RO methods include traditional RO method and distributionally RO method. Combined SO and RO methods include sample RO method and distributionally robust chance-constrained programming method. Secondly
the form of the optimization model
the principles of model transformation and solution
as well as the advantages and disadvantages for each method are introduced. Finally
the future research directions of UOD are prospected
including the UOD problem with multiple objectives and the multi-objective uncertain optimization method
the UOD problem of transmission and distribution systems and the distributed uncertain optimization method
the UOD problem considering the stability constraints and the uncertain optimization method with ordinary differential equation constraints
and the UOD problem of integrated energy systems considering the pipeline transmission dynamics and the uncertain optimization method with partial differential equation constraints.
胡博 , 谢开贵 , 邵常政 , 等 . 双碳目标下新型电力系统风险评述:特征、指标及评估方法 [J]. 电力系统自动化 , 2023 , 47 ( 5 ): 1 - 15 .
HU Bo , XIE Kaigui , SHAO Changzheng , et al . Commentary on risk of new power system under goals of carbon emission peak and carbon neutrality: characteristics, indices and assessment methods [J]. Automation of Electric Power Systems , 2023 , 47 ( 5 ): 1 - 15 .
贺帅佳 , 阮贺彬 , 高红均 , 等 . 分布鲁棒优化方法在电力系统中的理论分析与应用综述 [J]. 电力系统自动化 , 2020 , 44 ( 14 ): 179 - 191 .
HE Shuaijia , RUAN Hebin , GAO Hongjun , et al . Overview on theory analysis and application of distributionally robust optimization method in power system [J]. Automation of Electric Power Systems , 2020 , 44 ( 14 ): 179 - 191 .
鲁卓欣 , 徐潇源 , 严正 , 等 . 不确定性环境下数据驱动的电力系统优化调度方法综述 [J]. 电力系统自动化 , 2020 , 44 ( 21 ): 172 - 183 .
LU Zhuoxin , XU Xiaoyuan , YAN Zheng , et al . Overview on data-driven optimal scheduling methods of power system in uncertain environment [J]. Automation of Electric Power Systems , 2020 , 44 ( 21 ): 172 - 183 .
黎静华 , 谢育天 , 曾鸿宇 , 等 . 不确定优化调度研究综述及其在新型电力系统中的应用探讨 [J]. 高电压技术 , 2022 , 48 ( 9 ): 3447 - 3464 .
LI Jinghua , XIE Yutian , ZENG Hongyu , et al . Research review of uncertain optimal scheduling and its application in new-type power systems [J]. High Voltage Engineering , 2022 , 48 ( 9 ): 3447 - 3464 .
杜刚 , 赵冬梅 , 刘鑫 . 计及风电不确定性优化调度研究综述 [J]. 中国电机工程学报 , 2023 , 43 ( 7 ): 2608 - 2627 .
DU Gang , ZHAO Dongmei , LIU Xin . Research review on optimal scheduling considering wind power uncertainty [J]. Proceedings of the CSEE , 2023 , 43 ( 7 ): 2608 - 2627 .
LIN S J , LIU M B , LI Q F , et al . Normalised normal constraint algorithm applied to multi-objective security-constrained optimal generation dispatch of large-scale power systems with wind farms and pumped-storage hydroelectric stations [J]. IET Generation , Transmission & Distribution, 2017 , 11 ( 6 ): 1539 - 1548 .
许丹 , 梁访 , 黄国栋 , 等 . 考虑多级调度的跨省区大电网安全约束经济调度模型 [J]. 电力系统自动化 , 2019 , 43 ( 22 ): 94 - 100 .
XU Dan , LIANG Fang , HUANG Guodong , et al . Security constrained economic dispatch model of inter-provincial power grid considering multi-level dispatch [J]. Automation of Electric Power Systems , 2019 , 43 ( 22 ): 94 - 100 .
SAMIEE M , AMJADY N , SHARIFZADEH H . Security constrained unit commitment of power systems by a new combinatorial solution strategy composed of enhanced harmony search algorithm and numerical optimization [J]. International Journal of Electrical Power & Energy Systems , 2013 , 44 ( 1 ): 471 - 481 .
吴悔 , 林舜江 , 范官盛 . 含风电的高维多目标安全约束机组组合问题求解方法 [J]. 电网技术 , 2021 , 45 ( 2 ): 542 - 553 .
WU Hui , LIN Shunjiang , FAN Guansheng . Solution for multi-objective security constrained unit commitment with wind power [J]. Power System Technology , 2021 , 45 ( 2 ): 542 - 553 .
国家市场监督管理总局 , 国家标准化管理委员会 . 并网发电厂辅助服务导则 : GB/T 37134—2018 [S]. 北京 : 中国标准出版社 , 2018 .
State Administration for Market Regulation , Standardization Administration of the People's Republic of China . Guide for ancillary service of grid connected power plants : GB/T 37134—2018 [S]. Beijing : Standards Press of China , 2018 .
张海波 , 申杰 , 王国荣 , 等 . 考虑无功设备动作的交直流电网日前两阶段随机优化调度 [J]. 电力系统自动化 , 2022 , 46 ( 8 ): 133 - 142 .
ZHANG Haibo , SHEN Jie , WANG Guorong , et al . Day-ahead two-stage stochastic optimal dispatch of AC/DC power grid considering reactive power equipment operation [J]. Automation of Electric Power Systems , 2022 , 46 ( 8 ): 133 - 142 .
LEE D C , TURITSYN K , MOLZAHN D K , et al . Robust AC optimal power flow with robust convex restriction [J]. IEEE Transactions on Power Systems , 2021 , 36 ( 6 ): 4953 - 4966 .
LORCA A , SUN X A . The adaptive robust multi-period alternating current optimal power flow problem [J]. IEEE Transactions on Power Systems , 2018 , 33 ( 2 ): 1993 - 2003 .
付一木 , 刘明波 . 求解多目标随机动态经济调度问题的场景解耦方法 [J]. 电力系统自动化 , 2014 , 38 ( 9 ): 34 - 40 .
FU Yimu , LIU Mingbo . Scenario decomposition method for multi-objective stochastic dynamic economical dispatch problem [J]. Automation of Electric Power Systems , 2014 , 38 ( 9 ): 34 - 40 .
黄启文 , 陆文甜 , 刘明波 . 随机动态经济调度问题的Dantzig-Wolfe分解及其并行算法 [J]. 电网技术 , 2019 , 43 ( 12 ): 4398 - 4406 .
HUANG Qiwen , LU Wentian , LIU Mingbo . Dantzig-Wolfe decomposition and parallel algorithm for stochastic dynamic economic dispatch [J]. Power System Technology , 2019 , 43 ( 12 ): 4398 - 4406 .
LIU Y , NAIR N . A two-stage stochastic dynamic economic dispatch model considering wind uncertainty [J]. IEEE Transactions on Sustainable Energy , 2016 , 7 ( 2 ): 819 - 829 .
梁访 , 潘毅 , 许丹 , 等 . 基于极限场景分析的电力系统有功功率和备用协调调度 [J]. 电力系统自动化 , 2019 , 43 ( 22 ): 101 - 109 .
LIANG Fang , PAN Yi , XU Dan , et al . Coordinated dispatching of active power and reserve for power system based on extreme scenario analysis [J]. Automation of Electric Power Systems , 2019 , 43 ( 22 ): 101 - 109 .
汪超群 , 韦化 , 吴思缘 . 计及风电不确定性的随机安全约束机组组合 [J]. 电网技术 , 2017 , 41 ( 5 ): 1419 - 1427 .
WANG Chaoqun , WEI Hua , WU Siyuan . Stochastic-security-constrained unit commitment considering uncertainty of wind power [J]. Power System Technology , 2017 , 41 ( 5 ): 1419 - 1427 .
仉梦林 , 胡志坚 , 王小飞 , 等 . 基于动态场景集和需求响应的二阶段随机规划调度模型 [J]. 电力系统自动化 , 2017 , 41 ( 11 ): 68 - 76 .
ZHANG Menglin , HU Zhijian , WANG Xiaofei , et al . Two-stage stochastic programming scheduling model based on dynamic scenario sets and demand response [J]. Automation of Electric Power Systems , 2017 , 41 ( 11 ): 68 - 76 .
王群 , 董文略 , 杨莉 . 基于Wasserstein距离和改进 K -medoids聚类的风电/光伏经典场景集生成算法 [J]. 中国电机工程学报 , 2015 , 35 ( 11 ): 2654 - 2661 .
WANG Qun , DONG Wenlüe , YANG Li . A wind power/photovoltaic typical scenario set generation algorithm based on Wasserstein distance metric and revised K -medoids cluster [J]. Proceedings of the CSEE , 2015 , 35 ( 11 ): 2654 - 2661 .
LI Z M , WU L , XU Y . Risk-averse coordinated operation of a multi-energy microgrid considering voltage/var control and thermal flow: an adaptive stochastic approach [J]. IEEE Transactions on Smart Grid , 2021 , 12 ( 5 ): 3914 - 3927 .
FARZAN F , JAFARI M , MASIELLO R , et al . Toward optimal day-ahead scheduling and operation control of microgrids under uncertainty [J]. IEEE Transactions on Smart Grid , 2015 , 6 ( 2 ): 499 - 507 .
YU D M , WANG J W , LI D Z , et al . Risk-averse stochastic operation of a power system integrated with hydrogen storage system and wind generation in the presence of demand response program [J]. International Journal of Hydrogen Energy , 2019 , 44 ( 59 ): 31204 - 31215 .
WU Z , ZENG P L , ZHANG X P , et al . A solution to the chance-constrained two-stage stochastic program for unit commitment with wind energy integration [J]. IEEE Transactions on Power Systems , 2016 , 31 ( 6 ): 4185 - 4196 .
王智冬 , 娄素华 , 范臻 , 等 . 基于机会约束规划的含大规模风电电力系统阻塞调度优化 [J]. 电力系统自动化 , 2019 , 43 ( 23 ): 147 - 154 .
WANG Zhidong , LOU Suhua , FAN Zhen , et al . Chance-constrained programming based congestion dispatching optimization of power system with large-scale wind power integration [J]. Automation of Electric Power Systems , 2019 , 43 ( 23 ): 147 - 154 .
LIU J Z , CHEN H A , ZHANG W , et al . Energy management problems under uncertainties for grid-connected microgrids: a chance constrained programming approach [J]. IEEE Transactions on Smart Grid , 2017 , 8 ( 6 ): 2585 - 2596 .
WANG Z W , SHEN C , LIU F , et al . Chance-constrained economic dispatch with non-Gaussian correlated wind power uncertainty [J]. IEEE Transactions on Power Systems , 2017 , 32 ( 6 ): 4880 - 4893 .
赵书强 , 吴杨 , 李志伟 , 等 . 考虑风光出力不确定性的电力系统调峰能力及经济性分析 [J]. 电网技术 , 2022 , 46 ( 5 ): 1752 - 1761 .
ZHAO Shuqiang , WU Yang , LI Zhiwei , et al . Analysis of power system peaking capacity and economy considering uncertainty of wind and solar output [J]. Power System Technology , 2022 , 46 ( 5 ): 1752 - 1761 .
CAO Y , WEI W , MEI S , et al . Analyzing and quantifying the intrinsic distributional robustness of CVaR reformulation for chance-constrained stochastic programs [J]. IEEE Transactions on Power Systems , 2020 , 35 ( 6 ): 4908 - 4911 .
TAN Y A , CAI G B , LI B , et al . Stochastic model predictive control for the set point tracking of unmanned surface vehicles [J]. IEEE Access , 2020 , 8 : 579 - 588 .
WU J K , WU Z J , WU F , et al . CVaR risk-based optimization framework for renewable energy management in distribution systems with DGs and EVs [J]. Energy , 2018 , 143 : 323 - 336 .
ZYMLER S , KUHN D , RUSTEM B . Distributionally robust joint chance constraints with second-order moment information [J]. Mathematical Programming , 2013 , 137 ( 1/2 ): 167 - 198 .
刘德伟 , 郭剑波 , 黄越辉 , 等 . 基于风电功率概率预测和运行风险约束的含风电场电力系统动态经济调度 [J]. 中国电机工程学报 , 2013 , 33 ( 16 ): 9 - 15 .
LIU Dewei , GUO Jianbo , HUANG Yuehui , et al . Dynamic economic dispatch of wind integrated power system based on wind power probabilistic forecasting and operation risk constraints [J]. Proceedings of the CSEE , 2013 , 33 ( 16 ): 9 - 15 .
PEÑA-ORDIERES A , MOLZAHN D K , ROALD L A , et al . DC optimal power flow with joint chance constraints [J]. IEEE Transactions on Power Systems , 2021 , 36 ( 1 ): 147 - 158 .
马丽叶 , 王志强 , 陆肖宇 , 等 . 基于机会约束规划的风-火-蓄联合系统优化调度 [J]. 电网技术 , 2019 , 43 ( 9 ): 3311 - 3320 .
MA Liye , WANG Zhiqiang , LU Xiaoyu , et al . Optimal scheduling of combined wind-thermo-storage system based on chance constrained programming [J]. Power System Technology , 2019 , 43 ( 9 ): 3311 - 3320 .
POWELL W B . The optimizing-simulator: merging simulation and optimization using approximate dynamic programming [C]// 2007 Winter Simulation Conference , December 9-12 , 2007 , Washington, USA .
NASCIMENTO J , POWELL W B . An optimal approximate dynamic programming algorithm for the economic dispatch problem with grid-level storage [R]. Princeton, USA : Princeton University , 2009 .
ANDERSON R , BOULANGER A , POWELL W B , et al . Adaptive stochastic control for the smart grid [J]. Proceedings of the IEEE , 2011 , 99 ( 6 ): 1098 - 1115 .
NASCIMENTO J M , POWELL W B . An optimal approximate dynamic programming algorithm for concave, scalar storage problems with vector-valued controls [J]. IEEE Transactions on Automatic Control , 2013 , 58 ( 12 ): 2995 - 3010 .
简淦杨 , 刘明波 , 林舜江 . 随机动态经济调度问题的存储器建模及近似动态规划算法 [J]. 中国电机工程学报 , 2014 , 34 ( 25 ): 4333 - 4340 .
JIAN Ganyang , LIU Mingbo , LIN Shunjiang . Storage modeling and approximate dynamic programming algorithm for stochastic dynamic economic dispatch problems [J]. Proceedings of the CSEE , 2014 , 34 ( 25 ): 4333 - 4340 .
李捷 , 余涛 , 潘振宁 . 基于强化学习的增量配电网实时随机调度方法 [J]. 电网技术 , 2020 , 44 ( 9 ): 3321 - 3332 .
LI Jie , YU Tao , PAN Zhenning . Real-time stochastic dispatch method for incremental distribution network based on reinforcement learning [J]. Power System Technology , 2020 , 44 ( 9 ): 3321 - 3332 .
FAN G S , LIN S J , FENG X Y , et al . Stochastic economic dispatch of integrated transmission and distribution networks using distributed approximate dynamic programming [J]. IEEE Systems Journal , 2022 , 16 ( 4 ): 5985 - 5996 .
LIN S J , WANG Y P , LIU M B , et al . Stochastic optimal dispatch of PV/wind/diesel/battery microgrids using state-space approximate dynamic programming [J]. IET Generation , Transmission & Distribution, 2019 , 13 ( 15 ): 3409 - 3420 .
ZHAO Z H , KEERTHISINGHE C . A fast and optimal smart home energy management system: state-space approximate dynamic programming [J]. IEEE Access , 2020 , 8 : 184151 - 184159 .
韦化 , 龙丹丽 , 黎静华 . 求解大规模机组组合问题的策略迭代近似动态规划 [J]. 中国电机工程学报 , 2014 , 34 ( 25 ): 4420 - 4429 .
WEI Hua , LONG Danli , LI Jinghua . Policy iteration-approximate dynamic programming for large scale unit commitment problems [J]. Proceedings of the CSEE , 2014 , 34 ( 25 ): 4420 - 4429 .
DAS A , WU D , NI Z . Approximate dynamic programming with policy-based exploration for microgrid dispatch under uncertainties [J]. International Journal of Electrical Power & Energy Systems , 2022 , 142 : 108359 .
MOAZENI S , POWELL W B , DEFOURNY B , et al . Parallel nonstationary direct policy search for risk-averse stochastic optimization [J]. INFORMS Journal on Computing , 2017 , 29 ( 2 ): 332 - 349 .
SHUAI H , FANG J K , AI X M , et al . On-line energy management of microgrid via parametric cost function approximation [J]. IEEE Transactions on Power Systems , 2019 , 34 ( 4 ): 3300 - 3302 .
闫斯哲 , 王维庆 , 李笑竹 , 等 . 储能-机组联合调频的动态经济环境跨区灵活性鲁棒优化调度 [J]. 电力系统自动化 , 2022 , 46 ( 9 ): 61 - 70 .
YAN Sizhe , WANG Weiqing , LI Xiaozhu , et al . Cross-regional flexible robust optimal scheduling in dynamic economic environment with joint frequency regulation of energy storage and units [J]. Automation of Electric Power Systems , 2022 , 46 ( 9 ): 61 - 70 .
李斯 , 周任军 , 童小娇 , 等 . 基于盒式集合鲁棒优化的风电并网最大装机容量 [J]. 电网技术 , 2011 , 35 ( 12 ): 208 - 213 .
LI Si , ZHOU Renjun , TONG Xiaojiao , et al . Robust optimization with box set for maximum installed capacity of wind farm connected to grid [J]. Power System Technology , 2011 , 35 ( 12 ): 208 - 213 .
刘一欣 , 郭力 , 王成山 . 微电网两阶段鲁棒优化经济调度方法 [J]. 中国电机工程学报 , 2018 , 38 ( 14 ): 4013 - 4022 .
LIU Yixin , GUO Li , WANG Chengshan . Economic dispatch of microgrid based on two stage robust optimization [J]. Proceedings of the CSEE , 2018 , 38 ( 14 ): 4013 - 4022 .
赵冬梅 , 王浩翔 , 陶然 , 等 . 含核电-碳捕集机组的直流跨区互联电网多源协调鲁棒经济调度策略 [J]. 电网技术 , 2022 , 46 ( 10 ): 4064 - 4077 .
ZHAO Dongmei , WANG Haoxiang , TAO Ran , et al . Multi-source coordinated robust economic scheduling strategy of DC cross regional interconnected grid with nuclear power and carbon capture units [J]. Power System Technology , 2022 , 46 ( 10 ): 4064 - 4077 .
赵博石 , 胡泽春 , 宋永华 . 考虑 N -1安全约束的含可再生能源输电网结构鲁棒优化 [J]. 电力系统自动化 , 2019 , 43 ( 4 ): 16 - 24 .
ZHAO Boshi , HU Zechun , SONG Yonghua . Robust optimization of transmission topology with renewable energy sources considering N -1 security constraint [J]. Automation of Electric Power Systems , 2019 , 43 ( 4 ): 16 - 24 .
NING C , YOU F Q . Data-driven adaptive robust unit commitment under wind power uncertainty: a Bayesian nonparametric approach [J]. IEEE Transactions on Power Systems , 2019 , 34 ( 3 ): 2409 - 2418 .
LI P , GUAN X H , WU J A , et al . Modeling dynamic spatial correlations of geographically distributed wind farms and constructing ellipsoidal uncertainty sets for optimization-based generation scheduling [J]. IEEE Transactions on Sustainable Energy , 2015 , 6 ( 4 ): 1594 - 1605 .
吴巍 , 汪可友 , 李国杰 , 等 . 考虑风电功率条件相关性的广义椭球不确定集合建模 [J]. 中国电机工程学报 , 2017 , 37 ( 9 ): 2500 - 2507 .
WU Wei , WANG Keyou , LI Guojie , et al . Modeling ellipsoidal uncertainty set considering conditional correlation of wind power generation [J]. Proceedings of the CSEE , 2017 , 37 ( 9 ): 2500 - 2507 .
葛晓琳 , 郝广东 , 夏澍 , 等 . 高比例风电系统的优化调度方法 [J]. 电网技术 , 2019 , 43 ( 2 ): 390 - 400 .
GE Xiaolin , HAO Guangdong , XIA Shu , et al . An optimal system scheduling method with high proportion of wind power [J]. Power System Technology , 2019 , 43 ( 2 ): 390 - 400 .
李本新 , 韩学山 , 王士柏 . 输电检修与机组组合联合的区间鲁棒优化决策 [J]. 中国电机工程学报 , 2018 , 38 ( 20 ): 6001 - 6011 .
LI Benxin , HAN Xueshan , WANG Shibo . Robust optimal coordination of transmission maintenance scheduling with unit commitment considering the interval uncertainty of nodal demands and wind power [J]. Proceedings of the CSEE , 2018 , 38 ( 20 ): 6001 - 6011 .
JABR R A , KARAKI S , KORBANE J A . Robust multi-period OPF with storage and renewables [J]. IEEE Transactions on Power Systems , 2015 , 30 ( 5 ): 2790 - 2799 .
吴巍 , 汪可友 , 李国杰 . 考虑风电时空相关性的仿射可调鲁棒机组组合 [J]. 中国电机工程学报 , 2017 , 37 ( 14 ): 4089 - 4097 .
WU Wei , WANG Keyou , LI Guojie . Affinely adjustable robust unit commitment considering the spatiotemporal correlation of wind power [J]. Proceedings of the CSEE , 2017 , 37 ( 14 ): 4089 - 4097 .
翟俊义 , 周明 , 李庚银 , 等 . 考虑可消纳风电区间的多区电力系统分散协调鲁棒调度方法 [J]. 电网技术 , 2018 , 42 ( 3 ): 747 - 755 .
ZHAI Junyi , ZHOU Ming , LI Gengyin , et al . A decentralized and robust dispatch approach for multi-area power system considering accommodated wind power interval [J]. Power System Technology , 2018 , 42 ( 3 ): 747 - 755 .
李志刚 , 吴文传 , 张伯明 . 消纳大规模风电的鲁棒区间经济调度:(二)不确定集合构建与保守度调节 [J]. 电力系统自动化 , 2014 , 38 ( 21 ): 32 - 38 .
LI Zhigang , WU Wenchuan , ZHANG Boming . A robust interval economic dispatch method accommodating large-scale wind power generation: Part two uncertainty set modeling and conservativeness adjustment [J]. Automation of Electric Power Systems , 2014 , 38 ( 21 ): 32 - 38 .
WU W C , CHEN J H , ZHANG B M , et al . A robust wind power optimization method for look-ahead power dispatch [J]. IEEE Transactions on Sustainable Energy , 2014 , 5 ( 2 ): 507 - 515 .
YANG Y E , WU W C . A distributionally robust optimization model for real-time power dispatch in distribution networks [J]. IEEE Transactions on Smart Grid , 2019 , 10 ( 4 ): 3743 - 3752 .
WANG Z , BIAN Q Y , XIN H H , et al . A distributionally robust co-ordinated reserve scheduling model considering CVaR-based wind power reserve requirements [J]. IEEE Transactions on Sustainable Energy , 2016 , 7 ( 2 ): 625 - 636 .
ZHAO C Y , JIANG R W . Distributionally robust contingency-constrained unit commitment [J]. IEEE Transactions on Power Systems , 2018 , 33 ( 1 ): 94 - 102 .
LU X , CHAN K W , XIA S W , et al . Security-constrained multiperiod economic dispatch with renewable energy utilizing distributionally robust optimization [J]. IEEE Transactions on Sustainable Energy , 2019 , 10 ( 2 ): 768 - 779 .
ZHENG X , CHEN H , XU Y , et al . A mixed-integer SDP solution approach to distributionally robust unit commitment with second order moment constraints [J]. CSEE Journal of Power and Energy Systems , 2020 , 6 ( 2 ): 374 - 383 .
周安平 , 杨明 , 翟鹤峰 , 等 . 计及风电功率矩不确定性的分布鲁棒实时调度方法 [J]. 中国电机工程学报 , 2018 , 38 ( 20 ): 5937 - 5946 .
ZHOU Anping , YANG Ming , ZHAI Hefeng , et al . Distributionally robust real-time dispatch considering moment uncertainty of wind generation [J]. Proceedings of the CSEE , 2018 , 38 ( 20 ): 5937 - 5946 .
XIONG P , JIRUTITIJAROEN P , SINGH C . A distributionally robust optimization model for unit commitment considering uncertain wind power generation [J]. IEEE Transactions on Power Systems , 2017 , 32 ( 1 ): 39 - 49 .
曹金声 , 曾君 , 刘俊峰 , 等 . 考虑极限场景的并网型微电网分布鲁棒优化方法 [J]. 电力系统自动化 , 2022 , 46 ( 7 ): 50 - 59 .
CAO Jinsheng , ZENG Jun , LIU Junfeng , et al . Distributionally robust optimization method for grid-connected microgrid considering extreme scenarios [J]. Automation of Electric Power Systems , 2022 , 46 ( 7 ): 50 - 59 .
LIU L K , HU Z C , DUAN X Y , et al . Data-driven distributionally robust optimization for real-time economic dispatch considering secondary frequency regulation cost [J]. IEEE Transactions on Power Systems , 2021 , 36 ( 5 ): 4172 - 4184 .
JIN X Y , LIU B X , LIAO S L , et al . Wasserstein metric-based two-stage distributionally robust optimization model for optimal daily peak shaving dispatch of cascade hydroplants under renewable energy uncertainties [J]. Energy , 2022 , 260 : 125107 .
WANG C , GAO R , WEI W , et al . Risk-based distributionally robust optimal gas-power flow with Wasserstein distance [J]. IEEE Transactions on Power Systems , 2019 , 34 ( 3 ): 2190 - 2204 .
CHEN Y W , GUO Q L , SUN H B , et al . A distributionally robust optimization model for unit commitment based on Kullback-Leibler divergence [J]. IEEE Transactions on Power Systems , 2018 , 33 ( 5 ): 5147 - 5160 .
FENG X , LIN S , LIU W , et al . Distributionally robust optimal dispatch of offshore wind farm cluster connected by VSC-MTDC considering wind speed correlation [J]. CSEE Journal of Power and Energy Systems , 2023 , 9 ( 3 ): 1021 - 1035 .
LIANG W K , LIN S J , LEI S B , et al . Distributionally robust optimal dispatch of CCHP campus microgrids considering the time-delay of pipelines and the uncertainty of renewable energy [J]. Energy , 2022 , 239 : 122200 .
LI Y , HAN M , SHAHIDEHPOUR M , et al . Data-driven distributionally robust scheduling of community integrated energy systems with uncertain renewable generations considering integrated demand response [J]. Applied Energy , 2023 , 335 : 120749 .
ZHOU B , CHEN G , HUANG T W , et al . Planning PEV fast-charging stations using data-driven distributionally robust optimization approach based on <math id="M133"><mi>ϕ</mi></math> https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=58609523&type= https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=58609535&type= 1.69333339 2.79399991 -divergence [J]. IEEE Transactions on Transportation Electrification , 2020 , 6 ( 1 ): 170 - 180 .
童宇轩 , 胡俊杰 , 刘雪涛 , 等 . 新能源电力系统灵活性供需量化及分布鲁棒优化调度 [J]. 电力系统自动化 , 2023 , 47 ( 15 ): 80 - 90 .
TONG Yuxuan , HU Junjie , LIU Xuetao , et al . Quantification of flexibility supply and demand and distributionally robust optimal dispatch of renewable energy dominated power systems [J]. Automation of Electric Power Systems , 2023 , 47 ( 15 ): 80 - 90 .
ZHAO C Y , GUAN Y P . Data-driven stochastic unit commitment for integrating wind generation [J]. IEEE Transactions on Power Systems , 2016 , 31 ( 4 ): 2587 - 2596 .
ZHOU A P , YANG M , WANG Z Y , et al . A linear solution method of generalized robust chance constrained real-time dispatch [J]. IEEE Transactions on Power Systems , 2018 , 33 ( 6 ): 7313 - 7316 .
ZHOU A P , YANG M , WANG M Q , et al . A linear programming approximation of distributionally robust chance-constrained dispatch with Wasserstein distance [J]. IEEE Transactions on Power Systems , 2020 , 35 ( 5 ): 3366 - 3377 .
曾捷 , 童晓阳 , 范嘉乐 . 计及需求响应不确定性的电-气耦合配网系统动态分布鲁棒优化 [J]. 电网技术 , 2022 , 46 ( 5 ): 1877 - 1888 .
ZENG Jie , TONG Xiaoyang , FAN Jiale . Dynamic distributionally robust optimization of integrated electric-gas distribution system considering demand response uncertainty [J]. Power System Technology , 2022 , 46 ( 5 ): 1877 - 1888 .
XIE W J , AHMED S . Distributionally robust chance constrained optimal power flow with renewables: a conic reformulation [J]. IEEE Transactions on Power Systems , 2018 , 33 ( 2 ): 1860 - 1867 .
BERTSIMAS D , SHTERN S , STURT B . Technical note—two-stage sample robust optimization [J]. Operations Research , 2022 , 70 ( 1 ): 624 - 640 .
LIU R P , HOU Y H , LI Y J , et al . Sample robust scheduling of electricity-gas systems under wind power uncertainty [J]. IEEE Transactions on Power Systems , 2021 , 36 ( 6 ): 5889 - 5900 .
LI Q F . Uncertainty-aware three-phase optimal power flow based on data-driven convexification [J]. IEEE Transactions on Power Systems , 2021 , 36 ( 2 ): 1645 - 1648 .
NIKOLAIDIS P , ANTONIADES A , CHATZIS S . A Bayesian optimization approach for the robust unit commitment of identical generating units [C]// The 12th Mediterranean Conference on Power Generation, Transmission, Distribution and Energy Conversion , November 9 - 12 , 2020 : 264 - 269 .
GRUOSSO G , GAJANI G S , ZHANG Z Z , et al . Uncertainty-aware computational tools for power distribution networks including electrical vehicle charging and load profiles [J]. IEEE Access , 2019 , 7 : 9357 - 9367 .
TAJALLI S Z , KAVOUSI-FARD A , MARDANEH M , et al . Uncertainty-aware management of smart grids using cloud-based LSTM-prediction interval [J]. IEEE Transactions on Cybernetics , 2022 , 52 ( 10 ): 9964 - 9977 .
彭刘阳 , 孙元章 , 徐箭 , 等 . 基于深度强化学习的自适应不确定性经济调度 [J]. 电力系统自动化 , 2020 , 44 ( 9 ): 33 - 42 .
PENG Liuyang , SUN Yuanzhang , XU Jian , et al . Self-adaptive uncertainty economic dispatch based on deep reinforcement learning [J]. Automation of Electric Power Systems , 2020 , 44 ( 9 ): 33 - 42 .
YANG J , LIU J , XIANG Y , et al . Data-driven optimal dynamic dispatch for hydro-PV-PHS integrated power systems using deep reinforcement learning approach [J]. CSEE Journal of Power and Energy Systems , 2023 , 9 ( 3 ): 846 - 858 .
GUAN J Y , TANG H , WANG K , et al . A parallel multi-scenario learning method for near-real-time power dispatch optimization [J]. Energy , 2020 , 202 : 117708 .
冯昌森 , 张瑜 , 文福拴 , 等 . 基于深度期望Q网络算法的微电网能量管理策略 [J]. 电力系统自动化 , 2022 , 46 ( 3 ): 14 - 22 .
FENG Changsen , ZHANG Yu , WEN Fushuan , et al . Energy management strategy for microgrid based on deep expected Q network algorithm [J]. Automation of Electric Power Systems , 2022 , 46 ( 3 ): 14 - 22 .
HAO R , LU T G , AI Q , et al . Distributed online learning and dynamic robust standby dispatch for networked microgrids [J]. Applied Energy , 2020 , 274 : 115256 .
邓柏荣 , 陈俊斌 , 丁巧宜 , 等 . 融合电网运行场景聚类的多任务深度强化学习优化调度 [J]. 电网技术 , 2023 , 47 ( 3 ): 978 - 990 .
DENG Bairong , CHEN Junbin , DING Qiaoyi , et al . Multi-task deep reinforcement learning optimal scheduling based on clustering of power grid operation scenes [J]. Power System Technology , 2023 , 47 ( 3 ): 978 - 990 .
HAN X Y , MU C X , YAN J , et al . An autonomous control technology based on deep reinforcement learning for optimal active power dispatch [J]. International Journal of Electrical Power & Energy Systems , 2023 , 145 : 108686 .
TAN Y , CHEN Y Y , LI Y , et al . Linearizing power flow model: a hybrid physical model-driven and data-driven approach [J]. IEEE Transactions on Power Systems , 2020 , 35 ( 3 ): 2475 - 2478 .
李永康 , 刘宝柱 , 胡俊杰 . 基于数据驱动与时域仿真融合的电力系统暂态稳定快速评估 [J/OL]. 电网技术 : 1 - 11 [ 2023-08-31 ]. https://doi.org/10.13335/j.1000-3673.pst.2022.0696 https://doi.org/10.13335/j.1000-3673.pst.2022.0696 .
LI Yongkang , LIU Baozhu , HU Junjie . Rapid evaluation of power system transient stability based on fusion of data-driven and time-domain simulation [J/OL]. Power System Technology : 1 - 11 [ 2023-08-31 ]. https://doi.org/10.13335/j.1000-3673.pst.2022.0696 https://doi.org/10.13335/j.1000-3673.pst.2022.0696 .
FATHABAD A M , CHENG J Q , PAN K , et al . Data-driven planning for renewable distributed generation integration [J]. IEEE Transactions on Power Systems , 2020 , 35 ( 6 ): 4357 - 4368 .
SAFTA C , CHEN R L Y , NAJM H N , et al . Efficient uncertainty quantification in stochastic economic dispatch [J]. IEEE Transactions on Power Systems , 2017 , 32 ( 4 ): 2535 - 2546 .
BHAVSAR S , PITCHUMANI R , ORTEGA-VAZQUEZ M A , et al . A hybrid data-driven and model-based approach for computationally efficient stochastic unit commitment and economic dispatch under wind and solar uncertainty [J]. International Journal of Electrical Power & Energy Systems , 2023 , 151 : 109144 .
张剑 , 崔明建 , 姚潇毅 , 等 . 基于数据驱动与物理模型的主动配电网双时间尺度协调优化 [J/OL]. 电力系统自动化 : 1 - 15 [ 2023-09-01 ]. http://kns.cnki.net/kcms/detail/32.1180.TP.20230605.1043.002.html http://kns.cnki.net/kcms/detail/32.1180.TP.20230605.1043.002.html .
ZHANG Jian , CUI Mingjian , YAO Xiaoyi , et al . Dual-timescale active and reactive power coordinated optimization for active distribution network based on data-driven and physical model [J/OL]. Automation of Electric Power Systems : 1 - 15 [ 2023-09-01 ]. http://kns.cnki.net/kcms/detail/32.1180.TP.20230605.1043.002.html http://kns.cnki.net/kcms/detail/32.1180.TP.20230605.1043.002.html .
SAYED A R , WANG C , ANIS H I , et al . Feasibility constrained online calculation for real-time optimal power flow: a convex constrained deep reinforcement learning approach [J]. IEEE Transactions on Power Systems , 2023 , 38 ( 6 ): 5215 - 5227 .
ZHENG L Q , BAI X Q , WENG Z L , et al . A hybrid physical-data approach for solving dynamic optimal power flow considering uncertainties and different topology configurations [J]. Energy Reports , 2023 , 9 ( 7 ): 333 - 345 .
习近平 . 在第七十五届联合国大会一般性辩论上的讲话 [N]. 人民日报 , 2020-09-23 (3).
XI Jinping . Speech at the general debate of the 75th session of the United Nations General Assembly [N]. People's Daily , 2020-09-23 (3).
XU J , WANG J , LIAO S Y , et al . Stochastic multi-objective optimization of photovoltaics integrated three-phase distribution network based on dynamic scenarios [J]. Applied Energy , 2018 , 231 : 985 - 996 .
涂青宇 , 苗世洪 , 杨志豪 , 等 . 一种考虑峰荷-电量分摊机制和风电关键场景的输-配电网协同调度策略 [J/OL]. 中国电机工程学报 : 1 - 14 [ 2023-04-03 ]. https://doi.org/10.13334/j.0258-8013.pcsee.222037 https://doi.org/10.13334/j.0258-8013.pcsee.222037 .
TU Qingyu , MIAO Shihong , YANG Zhihao , et al . A collaborative scheduling strategy for transmission-distribution systems considering peak load-electricity quantity allocation mechanism and key wind power scenarios [J/OL]. Proceedings of the CSEE : 1 - 14 [ 2023-04-03 ]. https://doi.org/10.13334/j.0258-8013.pcsee.222037 https://doi.org/10.13334/j.0258-8013.pcsee.222037 .
李志伟 , 赵书强 , 李东旭 , 等 . 基于改进 ε -约束与采样确定性转化的电力系统日前调度机会约束模型快速求解技术 [J]. 中国电机工程学报 , 2018 , 38 ( 16 ): 4679 - 4691 .
LI Zhiwei , ZHAO Shuqiang , LI Dongxu , et al . Fast solving of day-ahead power system scheduling chance-constrained model based on improved <math id="M134"><mi>ε</mi></math> https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=58609541&type= https://html.publish.founderss.cn/rc-pub/api/common/picture?pictureId=58609539&type= 1.10066664 2.11666679 -constrained and deterministic transform by sampling [J]. Proceedings of the CSEE , 2018 , 38 ( 16 ): 4679 - 4691 .
杨燕 , 文福拴 , 李力 , 等 . 可用输电容量协调决策的多目标机会约束规划模型与方法 [J]. 电力系统自动化 , 2011 , 35 ( 13 ): 37 - 43 .
YANG Yan , WEN Fushuan , LI Li , et al . Coordinated model for available transfer capability decision-making employing multi-objective chance constrained programming [J]. Automation of Electric Power Systems , 2011 , 35 ( 13 ): 37 - 43 .
ZHANG C , XU Y , DONG Z , et al . Multi-objective adaptive robust voltage/var control for high-PV penetrated distribution networks [J]. IEEE Transactions on Smart Grid , 2020 , 11 ( 6 ): 5288 - 5300 .
LIAN Y C , LI Y Z , ZHAO Y , et al . Robust multi-objective optimization for islanded data center microgrid operations [J]. Applied Energy , 2023 , 330 : 120344 .
张旭 , 王洪涛 . 高比例可再生能源电力系统的输配协同优化调度方法 [J]. 电力系统自动化 , 2019 , 43 ( 3 ): 67 - 75 .
ZHANG Xu , WANG Hongtao . Optimal dispatch method of transmission and distribution coordination for power systems with high proportion of renewable energy [J]. Automation of Electric Power Systems , 2019 , 43 ( 3 ): 67 - 75 .
姚文亮 , 王成福 , 赵雨菲 , 等 . 不确定性环境下基于合作博弈的综合能源系统分布式优化 [J]. 电力系统自动化 , 2022 , 46 ( 20 ): 43 - 53 .
YAO Wenliang , WANG Chengfu , ZHAO Yufei , et al . Distributed optimization of integrated energy system based on cooperative game in uncertain environment [J]. Automation of Electric Power Systems , 2022 , 46 ( 20 ): 43 - 53 .
CHEN J A , LIN Z L , REN J Z , et al . Distributed multi-scenario optimal sizing of integrated electricity and gas system based on ADMM [J]. International Journal of Electrical Power & Energy Systems , 2020 , 117 : 105675 .
周晓倩 , 艾芊 , 林琳 , 等 . 多能互补微网集群分布式优化调度 [J]. 电网技术 , 2019 , 43 ( 10 ): 3678 - 3686 .
ZHOU Xiaoqian , AI Qian , LIN Lin , et al . Distributed optimal dispatch of interconnected CCHP microgrids [J]. Power System Technology , 2019 , 43 ( 10 ): 3678 - 3686 .
谢敏 , 吉祥 , 柯少佳 , 等 . 基于目标级联分析法的多微网主动配电系统自治优化经济调度 [J]. 中国电机工程学报 , 2017 , 37 ( 17 ): 4911 - 4921 .
XIE Min , JI Xiang , KE Shaojia , et al . Autonomous optimized economic dispatch of active distribution power system with multi-microgrids based on analytical target cascading theory [J]. Proceedings of the CSEE , 2017 , 37 ( 17 ): 4911 - 4921 .
KARGARIAN A , FU Y , WU H Y . Chance-constrained system of systems based operation of power systems [J]. IEEE Transactions on Power Systems , 2016 , 31 ( 5 ): 3404 - 3413 .
WU Z , SUN Q R , LU Y P , et al . Distributed chance-constrained based total energy supply capability evaluation method for integrated power and natural gas system [J]. International Journal of Electrical Power & Energy Systems , 2022 , 141 : 108193 .
ZHANG H W , WU Q W , CHEN J , et al . Multiple stage stochastic planning of integrated electricity and gas system based on distributed approximate dynamic programming [J]. Energy , 2023 , 270 : 126892 .
ZHU J Q , MO X M , XIA Y R , et al . Fully-decentralized optimal power flow of multi-area power systems based on parallel dual dynamic programming [J]. IEEE Transactions on Power Systems , 2022 , 37 ( 2 ): 927 - 941 .
周晓倩 , 艾芊 . 配电网与多微网联合分布式鲁棒经济调度 [J]. 电力系统自动化 , 2020 , 44 ( 7 ): 23 - 30 .
ZHOU Xiaoqian , AI Qian . Combined distributed robust economic dispatch of distribution network and multiple microgrids [J]. Automation of Electric Power Systems , 2020 , 44 ( 7 ): 23 - 30 .
梁俊文 , 林舜江 , 刘明波 , 等 . 主动配电网分布式鲁棒优化调度方法 [J]. 电网技术 , 2019 , 43 ( 4 ): 1336 - 1344 .
LIANG Junwen , LIN Shunjiang , LIU Mingbo , et al . Distributed robust optimal dispatch in active distribution networks [J]. Power System Technology , 2019 , 43 ( 4 ): 1336 - 1344 .
ZHAO J , WANG H T , HOU Y H , et al . Robust distributed coordination of parallel restored subsystems in wind power penetrated transmission system [J]. IEEE Transactions on Power Systems , 2020 , 35 ( 4 ): 3213 - 3223 .
赵晶晶 , 朱炯达 , 李振坤 , 等 . 考虑灵活性供需鲁棒平衡的两阶段配电网日内分布式优化调度 [J]. 电力系统自动化 , 2022 , 46 ( 16 ): 61 - 71 .
ZHAO Jingjing , ZHU Jiongda , LI Zhenkun , et al . Two-stage intraday distributed optimal dispatch for distribution network considering robust balance between flexibility supply and demand [J]. Automation of Electric Power Systems , 2022 , 46 ( 16 ): 61 - 71 .
王家怡 , 高红均 , 刘友波 , 等 . 考虑风电不确定性的交直流混合配电网分布式优化运行 [J]. 中国电机工程学报 , 2020 , 40 ( 2 ): 550 - 563 .
WANG Jiayi , GAO Hongjun , LIU Youbo , et al . A distributed operation optimization model for AC/DC hybrid distribution network considering wind power uncertainty [J]. Proceedings of the CSEE , 2020 , 40 ( 2 ): 550 - 563 .
GAO H J , WANG J Y , LIU Y B , et al . An improved ADMM-based distributed optimal operation model of AC/DC hybrid distribution network considering wind power uncertainties [J]. IEEE Systems Journal , 2021 , 15 ( 2 ): 2201 - 2211 .
ZHAI J , JIANG Y N , SHI Y M , et al . Distributionally robust joint chance-constrained dispatch for integrated transmission-distribution systems via distributed optimization [J]. IEEE Transactions on Smart Grid , 2022 , 13 ( 3 ): 2132 - 2147 .
YUAN Z P , LI P , LI Z L , et al . Data-driven risk-adjusted robust energy management for microgrids integrating demand response aggregator and renewable energies [J]. IEEE Transactions on Smart Grid , 2023 , 14 ( 1 ): 365 - 377 .
LIU T C , PAN W X , ZHU Z , et al . Optimal risk operation for a coupled electricity and heat system considering different operation modes [J]. IEEE Access , 2021 , 9 : 18831 - 18841 .
AHMADI H , GHASEMI H . Security-constrained unit commitment with linearized system frequency limit constraints [J]. IEEE Transactions on Power Systems , 2014 , 29 ( 4 ): 1536 - 1545 .
王博 , 杨德友 , 蔡国伟 . 大规模风电并网条件下考虑动态频率约束的机组组合 [J]. 电网技术 , 2020 , 44 ( 7 ): 2513 - 2519 .
WANG Bo , YANG Deyou , CAI Guowei . Dynamic frequency constraint unit commitment in large-scale wind power grid connection [J]. Power System Technology , 2020 , 44 ( 7 ): 2513 - 2519 .
HSU Y Y , SU C C , LIANG C C , et al . Dynamic security constrained multi-area unit commitment [J]. IEEE Transactions on Power Systems , 1991 , 6 ( 3 ): 1049 - 1055 .
GROTE W , KASTSIAN D , MONNIGMANN M . Guaranteed stability in optimal power generation dispatching under uncertainty [J]. IEEE Transactions on Power Systems , 2013 , 28 ( 2 ): 1103 - 1112 .
BADAKHSHAN S , EHSAN M , SHAHIDEHPOUR M , et al . Security-constrained unit commitment with natural gas pipeline transient constraints [J]. IEEE Transactions on Smart Grid , 2020 , 11 ( 1 ): 118 - 128 .
YANG L , XU Y L , ZHOU J G , et al . Distributionally robust frequency constrained scheduling for an integrated electricity-gas system [J]. IEEE Transactions on Smart Grid , 2022 , 13 ( 4 ): 2730 - 2743 .
YANG Y , PENG J C H , YE Z S . Distributionally robust frequency dynamic constrained unit commitment considering uncertain demand-side resources [J]. Applied Energy , 2023 , 331 : 120392 .
YANG L , LI Z H , XU Y L , et al . Frequency constrained scheduling under multiple uncertainties via data-driven distributionally robust chance-constrained approach [J]. IEEE Transactions on Sustainable Energy , 2023 , 14 ( 2 ): 763 - 776 .
XU Y , YIN M , DONG Z Y , et al . Robust dispatch of high wind power-penetrated power systems against transient instability [J]. IEEE Transactions on Power Systems , 2018 , 33 ( 1 ): 174 - 186 .
YUAN H L , XU Y . Preventive-corrective coordinated transient stability dispatch of power systems with uncertain wind power [J]. IEEE Transactions on Power Systems , 2020 , 35 ( 5 ): 3616 - 3626 .
XIA S W , LUO X A , CHAN K W , et al . Probabilistic transient stability constrained optimal power flow for power systems with multiple correlated uncertain wind generations [J]. IEEE Transactions on Sustainable Energy , 2016 , 7 ( 3 ): 1133 - 1144 .
艾小猛 , 方家琨 , 徐沈智 , 等 . 一种考虑天然气系统动态过程的气电联合系统优化运行模型 [J]. 电网技术 , 2018 , 42 ( 2 ): 409 - 416 .
AI Xiaomeng , FANG Jiakun , XU Shenzhi , et al . An optimal energy flow model in integrated gas-electric systems considering dynamics of natural gas system [J]. Power System Technology , 2018 , 42 ( 2 ): 409 - 416 .
张苏涵 , 顾伟 , 姚帅 , 等 . 综合能源网络统一建模及其应用(一):时域二端口模型 [J]. 中国电机工程学报 , 2021 , 41 ( 19 ): 6509 - 6521 .
ZHANG Suhan , GU Wei , YAO Shuai , et al . Unified modeling of integrated energy networks in time domain and its applications (Ⅰ): two-port models in time domain [J]. Proceedings of the CSEE , 2021 , 41 ( 19 ): 6509 - 6521 .
TANG Z Q , LIN S J , LIANG W K , et al . Optimal dispatch of integrated energy campus microgrids considering the time-delay of pipelines [J]. IEEE Access , 2020 , 8 : 178782 - 178795 .
LIANG W K , LIN S J , LIU M B , et al . Stochastic economic dispatch of regional integrated energy system considering the pipeline dynamics using improved approximate dynamic programming [J]. International Journal of Electrical Power & Energy Systems , 2022 , 141 : 108190 .
0
Views
0
下载量
20
CSCD
Publicity Resources
Related Articles
Related Author
Related Institution
京公网安备11010802024621