智能电网中分布式经济调度研究进展：综述

温广辉; 余星火; 刘智伟

doi:10.1631/FITEE.2000205

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智能电网中分布式经济调度研究进展：综述

复杂网络和系统的分布式滤波与控制专辑 | Updated：2022-05-19

- 智能电网中分布式经济调度研究进展：综述
- Recent progress on the study of distributed economic dispatch in smart grid: an overview
- 信息与电子工程前沿（英文） 2021年22卷第1期页码：25-39
- Affiliations：
  
  School of Mathematics, Southeast University, Nanjing 211189, China
  School of Engineering, RMIT University, Melbourne VIC 3000, Australia
  School of Artificial Intelligence and Automation, Huazhong University of Science and Technology, Wuhan 430074, China
- Author bio：
  
  Guanghui WEN, E-mail: wenguanghui@gmail.com
  [ "Xinghuo YU, x.yu@rmit.edu.au" ]
  [ "Zhiwei LIU, zwliu@hust.edu.cn" ]
- Funds：
  
  Project supported by the National Natural Science Foundation of China (Nos. 61722303, 61673104, and 61973133), the Six Talent Peaks Project of Jiangsu Province, China (No. 2019-DZXX-006), and the Australian Research Council (No. DP200101199)
- DOI：10.1631/FITEE.2000205
  中图分类号： TP13
- 收稿：2020-04-30，
  
  修回：2020-;8-19，
  
  纸质出版：2021-01
- Accepted：
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温广辉, 余星火, 刘智伟. 智能电网中分布式经济调度研究进展：综述[J]. 信息与电子工程前沿（英文）, 2021,22(1):25-39.

Guanghui WEN, Xinghuo YU, Zhiwei LIU. Recent progress on the study of distributed economic dispatch in smart grid: an overview[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(1): 25-39.
温广辉, 余星火, 刘智伟. 智能电网中分布式经济调度研究进展：综述[J]. 信息与电子工程前沿（英文）, 2021,22(1):25-39. DOI： 10.1631/FITEE.2000205.

Guanghui WEN, Xinghuo YU, Zhiwei LIU. Recent progress on the study of distributed economic dispatch in smart grid: an overview[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(1): 25-39. DOI： 10.1631/FITEE.2000205.

摘要

设计一种高效的分布式经济调度策略对具有多台发电机的智能电网具有重要意义，将使得新一代电力系统获取多种益处，如易于实施、低维护成本、高能源效率、对各种不确定性的强鲁棒性。因此，该领域吸引了来自电力工程、控制理论、应用数学等不同学科的广泛研究兴趣。本文综述智能电网分布式经济调度的理论研究最新进展，重点关注2015年以来发表的文献。系统回顾该主题的最新研究结果，并将其分为分布式离散时间和分布式连续时间经济调度算法两类。在回顾相关文献的基础上，简要介绍未来研究方向，包括智能电网的分布式安全经济调度、具有实际约束的分布式快速经济调度、高效无初值分布式经济调度、具有智能储能电池和灵活负载的分布式经济调度以及结合人工智能技术的分布式经济调度。

Abstract

Designing an efficient distributed economic dispatch (DED) strategy for the smart grid (SG) in the presence of multiple generators plays a paramount role in obtaining various benefits of a new generation power system

such as easy implementation

low maintenance cost

high energy efficiency

and strong robustness against uncertainties. It has drawn a lot of interest from a wide variety of scientific disciplines

including power engineering

control theory

and applied mathematics. We present a state-of-the-art review of some theoretical advances toward DED in the SG

with a focus on the literature published since 2015. We systematically review the recent results on this topic and subsequently categorize them into distributed discrete- and continuous-time economic dispatches of the SG in the presence of multiple generators. After reviewing the literature

we briefly present some future research directions in DED for the SG

including the distributed security economic dispatch of the SG

distributed fast economic dispatch in the SG with practical constraints

efficient initialization-free DED in the SG

DED in the SG in the presence of smart energy storage batteries and flexible loads

and DED in the SG with artificial intelligence technologies.

关键词

Keywords

references

L Bai , , , MJ Ye , , , C Sun , , , 等 . . Distributed economic dispatch control via saddle point dynamics and consensus algorithms . . IEEE Trans Contr Syst Technol , , 2019 . . 27 ( ( 2 ): ): 898 - - 905 . . DOI: 10.1109/TCST.2017.2776222 http://doi.org/10.1109/TCST.2017.2776222 . .

G Binetti , , , M Abouheaf , , , F Lewis , , , 等 . . Distributed solution for the economic dispatch problem . . Proc 21 st Mediterranean Conf on Control and Automation , , 2013 . . p.243 - - 250 . . DOI: 10.1109/MED.2013.6608729 http://doi.org/10.1109/MED.2013.6608729 . .

G Binetti , , , A Davoudi , , , D Naso , , , 等 . . A distributed auction-based algorithm for the nonconvex economic dispatch problem . . IEEE Trans Ind Inform , , 2014a . . 10 ( ( 2 ): ): 1124 - - 1132 . . DOI: 10.1109/TII.2013.2287807 http://doi.org/10.1109/TII.2013.2287807 . .

G Binetti , , , A Davoudi , , , FL Lewis , , , 等 . . Distributed consensus-based economic dispatch with transmission losses . . IEEE Trans Power Syst , , 2014b . . 29 ( ( 4 ): ): 1711 - - 1720 . . DOI: 10.1109/TPWRS.2014.2299436 http://doi.org/10.1109/TPWRS.2014.2299436 . .

MA Bragin , , , PB Luh . . Distributed and asynchronous unit commitment and economic dispatch . . IEEE Power & Energy Society General Meeting , , 2017 . . p.1 - - 5 . . DOI: 10.1109/PESGM.2017.8273960 http://doi.org/10.1109/PESGM.2017.8273960 . .

G Chen , , , ZY Zhao . . Delay effects on consensus-based distributed economic dispatch algorithm in microgrid . . IEEE Trans Power Syst , , 2018 . . 33 ( ( 1 ): ): 602 - - 612 . . DOI: 10.1109/TPWRS.2017.2702179 http://doi.org/10.1109/TPWRS.2017.2702179 . .

G Chen , , , ZY Zhao . . Distributed algorithms for resource allocation in cyber-physical energy systems with uniform/nonuniform communication delays . . J Franklin Inst , , 2020 . . 357 ( ( 7 ): ): 4363 - - 4391 . . DOI: 10.1016/j.jfranklin.2020.02.056 http://doi.org/10.1016/j.jfranklin.2020.02.056 . .

G Chen , , , JH Ren , , , EN Feng . . Distributed finite-time economic dispatch of a network of energy resources . . IEEE Trans Smart Grid , , 2017 . . 8 ( ( 2 ): ): 822 - - 832 . . DOI: 10.1109/TSG.2016.2516017 http://doi.org/10.1109/TSG.2016.2516017 . .

A Cherukuri , , , J Cortés . . Distributed generator coordination for initialization and anytime optimization in economic dispatch . . IEEE Trans Contr Netw Syst , , 2015 . . 2 ( ( 3 ): ): 226 - - 237 . . DOI: 10.1109/TCNS.2015.2399191 http://doi.org/10.1109/TCNS.2015.2399191 . .

A Cherukuri , , , J Cortés . . Initialization-free distributed coordination for economic dispatch under varying loads and generator commitment . . Automatica , , 2016 . . 74 183 - - 193 . . DOI: 10.1016/j.automatica.2016.07.003 http://doi.org/10.1016/j.automatica.2016.07.003 . .

J Cortés . . Discontinuous dynamical systems . . IEEE Contr Syst Mag , , 2008 . . 28 ( ( 3 ): ): 36 - - 73 . . DOI: 10.1109/MCS.2008.919306 http://doi.org/10.1109/MCS.2008.919306 . .

PC Dai , , , WW Yu , , , GH Wen , , , 等 . . Distributed reinforcement learning algorithm for dynamic economic dispatch with unknown generation cost functions . . IEEE Trans Ind Inform , , 2020 . . 16 ( ( 4 ): ): 2258 - - 2267 . . DOI: 10.1109/TII.2019.2933443 http://doi.org/10.1109/TII.2019.2933443 . .

AD Dominguez-Garcia , , , ST Cady , , , CN Hadjicostis . . Decentralized optimal dispatch of distributed energy resources . . Proc 51 st IEEE Conf on Decision and Control , , 2012 . . p.3688 - - 3693 . . DOI: 10.1109/CDC.2012.6426665 http://doi.org/10.1109/CDC.2012.6426665 . .

J Duan , , , MY Chow . . Robust consensus-based distributed energy management for microgrids with packet losses tolerance . . IEEE Trans Smart Grid , , 2020 . . 11 ( ( 1 ): ): 281 - - 290 . . DOI: 10.1109/TSG.2019.2921231 http://doi.org/10.1109/TSG.2019.2921231 . .

H Farhangi . . The path of the smart grid . . IEEE Power Energy Mag , , 2010 . . 8 ( ( 1 ): ): 18 - - 28 . . DOI: 10.1109/MPE.2009.934876 http://doi.org/10.1109/MPE.2009.934876 . .

FH Guo , , , CY Wen , , , JF Mao , , , 等 . . Distributed economic dispatch for smart grids with random wind power . . IEEE Trans Smart Grid , , 2016 . . 7 ( ( 3 ): ): 1572 - - 1583 . . DOI: 10.1109/TSG.2015.2434831 http://doi.org/10.1109/TSG.2015.2434831 . .

X He , , , DWC Ho , , , TW Huang , , , 等 . . Second-order continuous-time algorithms for economic power dispatch in smart grids . . IEEE Trans Syst Man Cybern Syst , , 2018 . . 48 ( ( 9 ): ): 1482 - - 1492 . . DOI: 10.1109/TSMC.2017.2672205 http://doi.org/10.1109/TSMC.2017.2672205 . .

X He , , , JZ Yu , , , TW Huang , , , 等 . . Distributed power management for dynamic economic dispatch in the multimicrogrids environment . . IEEE Trans Contr Syst Technol , , 2019 . . 27 ( ( 4 ): ): 1651 - - 1658 . . DOI: 10.1109/TCST.2018.2816902 http://doi.org/10.1109/TCST.2018.2816902 . .

B Hu , , , ZH Guan , , , MY Fu . . Distributed event-driven control for finite-time consensus . . Automatica , , 2019 . . 103 88 - - 95 . . DOI: 10.1016/j.automatica.2019.01.026 http://doi.org/10.1016/j.automatica.2019.01.026 . .

HX Hu , , , GH Wen , , , WW Yu , , , 等 . . Finite-time coordination behavior of multiple Euler-Lagrange systems in cooperation-competition networks . . IEEE Trans Cybern , , 2019 . . 49 ( ( 8 ): ): 2967 - - 2979 . . DOI: 10.1109/TCYB.2018.2836140 http://doi.org/10.1109/TCYB.2018.2836140 . .

BN Huang , , , LN Liu , , , HG Zhang , , , 等 . . Distributed optimal economic dispatch for microgrids considering communication delays . . IEEE Trans Man Cybern Syst , , 2019 . . 49 ( ( 8 ): ): 1634 - - 1642 . . DOI: 10.1109/TSMC.2019.2900722 http://doi.org/10.1109/TSMC.2019.2900722 . .

S Kar , , , G Hug . . Distributed robust economic dispatch in power systems: a consensus + innovations approach . . IEEE Power and Energy Society General Meeting , , 2012 . . p.1 - - 8 . . DOI: 10.1109/PESGM.2012.6345156 http://doi.org/10.1109/PESGM.2012.6345156 . .

I Kouveliotis-Lysikatos , , , N Hatziargyriou . . Distributed economic dispatch considering transmission losses . . IEEE Manchester PowerTech , , 2017 . . p.1 - - 6 . . DOI: 10.1109/PTC.2017.7981003 http://doi.org/10.1109/PTC.2017.7981003 . .

CJ Li , , , XH Yu , , , WW Yu . . Optimal economic dispatch by fast distributed gradient . . Proc 13 th Int Conf on Control Automation Robotics & Vision , , 2014 . . p.571 - - 576 . . DOI: 10.1109/ICARCV.2014.7064367 http://doi.org/10.1109/ICARCV.2014.7064367 . .

CJ Li , , , XH Yu , , , WW Yu , , , 等 . . Distributed event-triggered scheme for economic dispatch in smart grids . . IEEE Trans Ind Inform , , 2016 . . 12 ( ( 5 ): ): 1775 - - 1785 . . DOI: 10.1109/TII.2015.2479558 http://doi.org/10.1109/TII.2015.2479558 . .

CJ Li , , , XH Yu , , , TW Huang , , , 等 . . Distributed optimal consensus over resource allocation network and its application to dynamical economic dispatch . . IEEE Trans Neur Netw Learn Syst , , 2018 . . 29 ( ( 6 ): ): 2407 - - 2418 . . DOI: 10.1109/TNNLS.2017.2691760 http://doi.org/10.1109/TNNLS.2017.2691760 . .

FY Li , , , JH Qin , , , Y Kang . . Multi-agent system based distributed pattern search algorithm for non-convex economic load dispatch in smart grid . . IEEE Trans Power Syst , , 2019 . . 34 ( ( 3 ): ): 2093 - - 2102 . . DOI: 10.1109/TPWRS.2018.2889989 http://doi.org/10.1109/TPWRS.2018.2889989 . .

H Li , , , YJ Zhou , , , GP Jiang , , , 等 . . Fixed-time distributed algorithm for economic dispatch in smart grid . . Chinese Automation Congress , , 2019 . . p.2960 - - 2965 . . DOI: 10.1109/CAC48633.2019.8996348 http://doi.org/10.1109/CAC48633.2019.8996348 . .

KX Li , , , QS Liu , , , SF Yang , , , 等 . . Cooperative optimization of dual multiagent system for optimal resource allocation . . IEEE Trans Syst Man Cybern Syst, in press. , , 2018 . . DOI: 10.1109/TSMC.2018.2859364 http://doi.org/10.1109/TSMC.2018.2859364 . .

PK Li , , , Y Liu , , , HH Xin , , , 等 . . A robust distributed economic dispatch strategy of virtual power plant under cyber-attacks . . IEEE Trans Ind Inform , , 2018 . . 14 ( ( 10 ): ): 4343 - - 4352 . . DOI: 10.1109/TII.2017.2788868 http://doi.org/10.1109/TII.2017.2788868 . .

Q Li , , , DW Gao , , , HG Zhang , , , 等 . . Consensus-based distributed economic dispatch control method in power systems . . IEEE Trans Smart Grid , , 2019 . . 10 ( ( 1 ): ): 941 - - 954 . . DOI: 10.1109/TSG.2017.2756041 http://doi.org/10.1109/TSG.2017.2756041 . .

ZG Li , , , WC Wu , , , BM Zhang , , , 等 . . Dynamic economic dispatch using Lagrangian relaxation with multiplier updates based on a quasi-Newton method . . IEEE Trans Power Syst , , 2013 . . 28 ( ( 4 ): ): 4516 - - 4527 . . DOI: 10.1109/TPWRS.2013.2267057 http://doi.org/10.1109/TPWRS.2013.2267057 . .

ZS Li , , , QL Guo , , , HB Sun , , , 等 . . Sufficient conditions for exact relaxation of complementarity constraints for storage-concerned economic dispatch . . IEEE Trans Power Syst , , 2016 . . 31 ( ( 2 ): ): 1653 - - 1654 . . DOI: 10.1109/TPWRS.2015.2412683 http://doi.org/10.1109/TPWRS.2015.2412683 . .

S Liang , , , XL Zeng , , , GP Chen , , , 等 . . Distributed suboptimal resource allocation via a projected form of singular perturbation . . 2019 . . https://arxiv.org/abs/1906.03628 https://arxiv.org/abs/1906.03628 , , . .

Y Liu , , , HH Xin , , , ZH Qu , , , 等 . . An attack-resilient cooperative control strategy of multiple distributed generators in distribution networks . . IEEE Trans Smart Grid , , 2016 . . 7 ( ( 6 ): ): 2923 - - 2932 . . DOI: 10.1109/TSG.2016.2542111 http://doi.org/10.1109/TSG.2016.2542111 . .

S Mao , , , ZW Dong , , , P Schultz , , , 等 . . A finite-time distributed optimization algorithm for economic dispatch in smart grids . . IEEE Trans Syst Man Cybern Syst, in press , , 2019 . . DOI: 10.1109/TSMC.2019.2931846 http://doi.org/10.1109/TSMC.2019.2931846 . .

G Martinez , , , Y Zhang , , , GB Giannakis . . An efficient primal-dual approach to chance-constrained economic dispatch . . North American Power Symp , , 2014 . . p.1 - - 6 . . DOI: 10.1109/NAPS.2014.6965379 http://doi.org/10.1109/NAPS.2014.6965379 . .

R Mudumbai , , , S Dasgupta , , , BB Cho . . Distributed control for optimal economic dispatch of a network of heterogeneous power generators . . IEEE Trans Power Syst , , 2012 . . 27 ( ( 4 ): ): 1750 - - 1760 . . DOI: 10.1109/TPWRS.2012.2188048 http://doi.org/10.1109/TPWRS.2012.2188048 . .

JB Park , , , KS Lee , , , JR Shin , , , 等 . . A particle swarm optimization for economic dispatch with nonsmooth cost functions . . IEEE Trans Power Syst , , 2005 . . 20 ( ( 1 ): ): 34 - - 42 . . DOI: 10.1109/TPWRS.2004.831275 http://doi.org/10.1109/TPWRS.2004.831275 . .

H Pourbabak , , , JW Luo , , , T Chen , , , 等 . . A novel consensus-based distributed algorithm for economic dispatch based on local estimation of power mismatch . . IEEE Trans Smart Grid , , 2018 . . 9 ( ( 6 ): ): 5930 - - 5942 . . DOI: 10.1109/TSG.2017.2699084 http://doi.org/10.1109/TSG.2017.2699084 . .

W Ren , , , RW Beard , , , EM Atkins . . Information consensus in multivehicle cooperative control . . IEEE Contr Syst Mag , , 2007 . . 27 ( ( 2 ): ): 71 - - 82 . . DOI: 10.1109/MCS.2007.338264 http://doi.org/10.1109/MCS.2007.338264 . .

XS Shi , , , RH Zheng , , , ZY Lin , , , 等 . . Distributed optimization for economic power dispatch with event-triggered communication . . Asian J Contr, online , , 2020 . . DOI: 10.1002/asjc.2140 http://doi.org/10.1002/asjc.2140 . .

D Wang , , , Z Wang , , , CY Wen , , , 等 . . Second-order continuous-time algorithm for optimal resource allocation in power systems . . IEEE Trans Ind Inform , , 2019 . . 15 ( ( 2 ): ): 626 - - 637 . . DOI: 10.1109/TII.2018.2881974 http://doi.org/10.1109/TII.2018.2881974 . .

HW Wang , , , CJ Li , , , JY Li , , , 等 . . A survey on distributed optimisation approaches and applications in smart grids . . J Contr Dec , , 2019 . . 6 ( ( 1 ): ): 41 - - 60 . . DOI: 10.1080/23307706.2018.1549516 http://doi.org/10.1080/23307706.2018.1549516 . .

R Wang , , , QQ Li , , , BY Zhang , , , 等 . . Distributed consensus based algorithm for economic dispatch in a microgrid . . IEEE Trans Smart Grid , , 2019a . . 10 ( ( 4 ): ): 3630 - - 3640 . . DOI: 10.1109/TSG.2018.2833108 http://doi.org/10.1109/TSG.2018.2833108 . .

R Wang , , , QQ Li , , , Y Shi , , , 等 . . A gossip-based asynchronous distributed algorithm for economic dispatch problem with transmission losses . . IEEE Innovative Smart Grid Technologies-Asia , , 2019b . . p.770 - - 775 . . DOI: 10.1109/ISGT-Asia.2019.8881641 http://doi.org/10.1109/ISGT-Asia.2019.8881641 . .

YN Wang , , , ZY Lin , , , X Liang , , , 等 . . On modeling of electrical cyber-physical systems considering cyber security . . Front Inform Technol Electron Eng , , 2016 . . 17 ( ( 5 ): ): 465 - - 478 . . DOI: 10.1631/FITEE.1500446 http://doi.org/10.1631/FITEE.1500446 . .

GH Wen , , , GQ Hu , , , JQ Hu , , , 等 . . Frequency regulation of source-grid-load systems: a compound control strategy . . IEEE Trans Ind Inform , , 2016 . . 12 ( ( 1 ): ): 69 - - 78 . . DOI: 10.1109/TⅡ.2015.2496309 http://doi.org/10.1109/TⅡ.2015.2496309 . .

GH Wen , , , XH Yu , , , ZW Liu , , , 等 . . Adaptive consensus-based robust strategy for economic dispatch of smart grids subject to communication uncertainties . . IEEE Trans Ind Inform , , 2018 . . 14 ( ( 6 ): ): 2484 - - 2496 . . DOI: 10.1109/TII.2017.2772088 http://doi.org/10.1109/TII.2017.2772088 . .

J Wu , , , T Yang , , , D Wu , , , 等 . . Distributed optimal dispatch of distributed energy resources over lossy communication networks . . IEEE Trans Smart Grid , , 2017 . . 8 ( ( 6 ): ): 3125 - - 3137 . . DOI: 10.1109/TSG.2017.2720761 http://doi.org/10.1109/TSG.2017.2720761 . .

J Xie , , , QY Yu , , , C Cao . . A distributed randomized gradient-free algorithm for the non-convex economic dispatch problem . . Energies , , 2018 . . 11 ( ( 1 ): ): 244 DOI: 10.3390/en11010244 http://doi.org/10.3390/en11010244 . .

H Xing , , , YT Mou , , , MY Fu , , , 等 . . Distributed algorithm for economic power dispatch including transmission losses . . European Control Conf , , 2015a . . p.1076 - - 1081 . . DOI: 10.1109/ECC.2015.7330683 http://doi.org/10.1109/ECC.2015.7330683 . .

H Xing , , , YT Mou , , , MY Fu , , , 等 . . Distributed bisection method for economic power dispatch in smart grid . . IEEE Trans Power Syst , , 2015b . . 30 ( ( 6 ): ): 3024 - - 3035 . . DOI: 10.1109/TPWRS.2014.2376935 http://doi.org/10.1109/TPWRS.2014.2376935 . .

YL Xu , , , W Zhang , , , WX Liu . . Distributed dynamic programming-based approach for economic dispatch in smart grids . . IEEE Trans Ind Inform , , 2015 . . 11 ( ( 1 ): ): 166 - - 175 . . DOI: 10.1109/TII.2014.2378691 http://doi.org/10.1109/TII.2014.2378691 . .

X Yan , , , VH Quintana . . An efficient predictor-corrector interior point algorithm for security-constrained economic dispatch . . IEEE Trans Power Syst , , 1997 . . 12 ( ( 2 ): ): 803 - - 810 . . DOI: 10.1109/59.589693 http://doi.org/10.1109/59.589693 . .

SP Yang , , , SC Tan , , , JX Xu . . Consensus based approach for economic dispatch problem in a smart grid . . IEEE Trans Power Syst , , 2013 . . 28 ( ( 4 ): ): 4416 - - 4426 . . DOI: 10.1109/TPWRS.2013.2271640 http://doi.org/10.1109/TPWRS.2013.2271640 . .

T Yang , , , D Wu , , , YN Sun , , , 等 . . Impacts of time delays on distributed algorithms for economic dispatch . . IEEE Power & Energy Society General Meeting , , 2015 . . p.1 - - 5 . . DOI: 10.1109/PESGM.2015.7286216 http://doi.org/10.1109/PESGM.2015.7286216 . .

T Yang , , , D Wu , , , YN Sun , , , 等 . . Minimum-time consensus-based approach for power system applications . . IEEE Trans Ind Electron , , 2016 . . 63 ( ( 2 ): ): 1318 - - 1328 . . DOI: 10.1109/TIE.2015.2504050 http://doi.org/10.1109/TIE.2015.2504050 . .

T Yang , , , J Lu , , , D Wu , , , 等 . . A distributed algorithm for economic dispatch over time-varying directed networks with delays . . IEEE Trans Ind Electron , , 2017 . . 64 ( ( 6 ): ): 5095 - - 5106 . . DOI: 10.1109/TIE.2016.2617832 http://doi.org/10.1109/TIE.2016.2617832 . .

T Yang , , , XL Yi , , , JF Wu , , , 等 . . A survey of distributed optimization . . Ann Rev Contr , , 2019 . . 47 278 - - 305 . . DOI: 10.1016/j.arcontrol.2019.05.006 http://doi.org/10.1016/j.arcontrol.2019.05.006 . .

ZQ Yang , , , J Xiang , , , YJ Li . . Distributed consensus based supply-demand balance algorithm for economic dispatch problem in a smart grid with switching graph . . IEEE Trans Ind Electron , , 2017 . . 64 ( ( 2 ): ): 1600 - - 1610 . . DOI: 10.1109/TIE.2016.2615037 http://doi.org/10.1109/TIE.2016.2615037 . .

P Yi , , , YG Hong , , , F Liu . . Initialization-free distributed algorithms for optimal resource allocation with feasibility constraints and application to economic dispatch of power systems . . Automatica , , 2016 . . 74 259 - - 269 . . DOI: 10.1016/j.automatica.2016.08.007 http://doi.org/10.1016/j.automatica.2016.08.007 . .

M Yu , , , C Song , , , SX Feng , , , 等 . . A consensus approach for economic dispatch problem in a microgrid with random delay effects . . Int J Electr Power Energy Syst , , 2020 . . 118 105794 DOI: 10.1016/j.ijepes.2019.105794 http://doi.org/10.1016/j.ijepes.2019.105794 . .

WW Yu , , , CJ Li , , , XH Yu , , , 等 . . Economic power dispatch in smart grids: a framework for distributed optimization and consensus dynamics . . Sci China Inform Sci , , 2018 . . 61 ( ( 1 ): ): 012204 DOI: 10.1007/s11432-016-9114-y http://doi.org/10.1007/s11432-016-9114-y . .

XH Yu , , , C Cecati , , , T Dillon , , , 等 . . The new frontier of smart grids . . IEEE Ind Electron Mag , , 2011 . . 5 ( ( 3 ): ): 49 - - 63 . . DOI: 10.1109/MIE.2011.942176 http://doi.org/10.1109/MIE.2011.942176 . .

Y Yuan , , , HQ Li , , , JH Hu , , , 等 . . Stochastic gradient-push for economic dispatch on time-varying directed networks with delays . . Int J Electr Power Energy Syst , , 2019 . . 113 564 - - 572 . . DOI: 10.1016/j.ijepes.2019.05.051 http://doi.org/10.1016/j.ijepes.2019.05.051 . .

WT Zeng , , , Y Zhang , , , MY Chow . . Resilient distributed energy management subject to unexpected misbehaving generation units . . IEEE Trans Ind Inform , , 2017 . . 13 ( ( 1 ): ): 208 - - 216 . . DOI: 10.1109/TII.2015.2496228 http://doi.org/10.1109/TII.2015.2496228 . .

W Zhang , , , WX Liu , , , X Wang , , , 等 . . Online optimal generation control based on constrained distributed gradient algorithm . . IEEE Trans Power Syst , , 2015 . . 30 ( ( 1 ): ): 35 - - 45 . . DOI: 10.1109/TPWRS.2014.2319315 http://doi.org/10.1109/TPWRS.2014.2319315 . .

X Zhang , , , N Li , , , A Papachristodoulou . . Achieving realtime economic dispatch in power networks via a saddle point design approach . . IEEE Power & Energy Society General Meeting , , 2015 . . p.1 - - 5 . . DOI: 10.1109/PESGM.2015.7286222 http://doi.org/10.1109/PESGM.2015.7286222 . .

Y Zhang , , , MY Chow . . Distributed optimal generation dispatch considering transmission losses . . North American Power Symp , , 2015 . . p.1 - - 6 . . DOI: 10.1109/NAPS.2015.7335143 http://doi.org/10.1109/NAPS.2015.7335143 . .

Y Zhang , , , N Rahbari-Asr , , , MY Chow . . A robust distributed system incremental cost estimation algorithm for smart grid economic dispatch with communications information losses . . J Netw Comput Appl , , 2016 . . 59 315 - - 324 . . DOI: 10.1016/j.jnca.2015.05.014 http://doi.org/10.1016/j.jnca.2015.05.014 . .

Z Zhang , , , MY Chow . . Incremental cost consensus algorithm in a smart grid environment . . IEEE Power and Energy Society General Meeting , , 2011 . . p.1 - - 6 . . DOI: 10.1109/PES.2011.6039422 http://doi.org/10.1109/PES.2011.6039422 . .

Z Zhang , , , MY Chow . . Convergence analysis of the incremental cost consensus algorithm under different communication network topologies in a smart grid . . IEEE Trans Power Syst , , 2012 . . 27 ( ( 4 ): ): 1761 - - 1768 . . DOI: 10.1109/TPWRS.2012.2188912 http://doi.org/10.1109/TPWRS.2012.2188912 DOI: 10.1109/TPWRS.2012.2188912 http://doi.org/10.1109/TPWRS.2012.2188912 . .

CC Zhao , , , JP He , , , P Cheng , , , 等 . . Analysis of consensus-based distributed economic dispatch under stealthy attacks . . IEEE Trans Ind Electron , , 2017a . . 64 ( ( 6 ): ): 5107 - - 5117 . . DOI: 10.1109/TIE.2016.2638400 http://doi.org/10.1109/TIE.2016.2638400 . .

CC Zhao , , , JP He , , , P Cheng , , , 等 . . Consensus-based energy management in smart grid with transmission losses and directed communication . . IEEE Trans Smart Grid , , 2017b . . 8 ( ( 5 ): ): 2049 - - 2061 . . DOI: 10.1109/TSG.2015.2513772 http://doi.org/10.1109/TSG.2015.2513772 . .

ZY Zhao , , , G Chen . . Distributed event-based algorithm for economic dispatch problem over digraph with time delays . . Proc 15 th Int Conf on Control, Automation, Robotics and Vision , , 2018 . . p.77 - - 82 . . DOI: 10.1109/ICARCV.2018.8581366 http://doi.org/10.1109/ICARCV.2018.8581366 . .

XQ Zhou , , , Q Ai , , , H Wang . . Consensus-based distributed economic dispatch incorporating storage optimization and generator ramp-rate constraints in microgrids . . J Renew Sustain Energy , , 2018 . . 10 ( ( 4 ): ): 045501 DOI: 10.1063/1.5043187 http://doi.org/10.1063/1.5043187 . .

YN Zhu , , , WW Yu , , , GH Wen . . Distributed consensus strategy for economic power dispatch in a smart grid with communication time delays . . IEEE Int Conf on Industrial Technology , , 2016 . . p.1384 - - 1389 . . DOI: 10.1109/ICIT.2016.7474960 http://doi.org/10.1109/ICIT.2016.7474960 . .

YN Zhu , , , W Ren , , , WW Yu , , , 等 . . Distributed resource allocation over directed graphs via continuous-time algorithms . . IEEE Trans Syst Man Cybern Syst, in press , , 2019 . . DOI: 10.1109/TSMC.2019.2894862 http://doi.org/10.1109/TSMC.2019.2894862 . .

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