动态事件触发下直流微电网分布式二次控制

doi:10.12068/j.issn.1005-3026.2025.20240006

摘要/Abstract

摘要：

针对孤岛直流微电网中二次控制问题，以含有多个分布式电源的直流微电网为研究对象，提出了一种基于动态事件触发机制的分布式二次控制策略.在分布式二次控制的基础上，对每个分布式电源的输出平均电压和比例电流分别设计动态事件触发条件，不但减小了由下垂增益引起的直流母线电压和标称值的偏差，而且维持了电流分配精度，并大大节约了通信资源、减少了通信冗余.设计的事件触发条件包含一个动态项，事件触发阈值会随着动态项改变而改变，有效地减少了控制器的更新频率.通过Lyapunov稳定理论证明了事件触发机制的可行性，并证明了不存在Zeno行为.最后，利用MATLAB/Simulink搭建仿真模型，验证了控制策略的有效性.

关键词: 直流微电网, 分布式二次控制, 动态事件触发机制, 通信冗余, 电压调节, 电流分配

Abstract:

Aiming at the secondary control issues in islanded DC microgrids， a distributed secondary control strategy based on a dynamic event-triggered mechanism is proposed for DC microgrid containing multiple distributed generators. Building upon distributed secondary control， dynamic event-triggered conditions are designed for both the output average voltage and proportional current of each DG. This approach not only mitigates deviations between DC bus voltage and the nominal value caused by droop gains but also maintains current sharing accuracy while significantly conserving communication resources and reducing redundancy. The designed event-triggered conditions incorporate a dynamic term that adaptively adjusts event-triggered thresholds， effectively decreasing controller update frequency. The feasibility of this event-triggered mechanism is rigorously proven through Lyapunov stability theory， with the absence of Zeno behavior being guaranteed. Finally， a simulation model developed in MATLAB/Simulink validates the effectiveness of the proposed control strategy.

Key words: DC microgrid, distributed secondary control, dynamic event-triggered mechanism, communication redundancy, voltage adjustment, current distribution

中图分类号:

TP 273

孟范伟, 邰源政, 张煜, 庞爱平. 动态事件触发下直流微电网分布式二次控制[J]. 东北大学学报（自然科学版）, 2025, 46(6): 16-25.

Fan-wei MENG, Yuan-zheng TAI, Yu ZHANG, Ai-ping PANG. Distributed Secondary Control for DC Microgrid Under Dynamic Event Trigger[J]. Journal of Northeastern University(Natural Science), 2025, 46(6): 16-25.

图/表 15

图1 直流微电网一次控制框图

Fig.1 Primary control block diagram of DC microgrid

图2 直流微电网分布式二次控制

Fig.2 Distributed secondary control of DC microgrid

图3 基于动态事件触发机制的直流微电网分布式二次控制

Fig.3 Distributed secondary control for DC microgrid based on dynamic event-triggered mechanism

图4 直流微电网系统结构

Fig.4 System structure of DC microgrid

表1 微电网仿真参数［7］

Table1 Simulation parameters of microgrid［7］

参数	数值
输入电压/V	100
输出电压标称值/V	48
开关频率/kHz	1.25
滤波电容/ $μ F$	2 200
滤波电感/mH	10
电压环比例系数电压环积分系数	4 800
电流环比例系数电流环积分系数	5 110
线路阻抗/ $Ω$	0.01

表1 微电网仿真参数［7］

Table1 Simulation parameters of microgrid［7］

参数	数值
输入电压/V	100
输出电压标称值/V	48
开关频率/kHz	1.25
滤波电容/ $μ F$	2 200
滤波电感/mH	10
电压环比例系数电压环积分系数	4 800
电流环比例系数电流环积分系数	5 110
线路阻抗/ $Ω$	0.01

图5 下垂控制作用下DG的直流母线电压

Fig.5 DC bus voltage of DG under droop control

图6 下垂控制作用下DG的输出电流

Fig.6 Output current of DG under droop control

图7 负载变化时DG的输出电压

Fig.7 Output voltage of DG when the load changes

图8 负载变化时DG的输出电流

Fig.8 Output current of DG when the load changes

图9 负载变化时平均电压控制的触发次数

Fig.9 Trigger times of average voltage control when the load changes

图10 负载变化时比例电流控制的触发次数

Fig.10 Trigger times of proportional current control when the load changes

图11 备用电源插拔时DG的输出电压

Fig.11 Output voltage of the DGs when the back-up DG is plugged in and out

图12 备用电源插拔时DGs的输出电流

Fig.12 Output current of the DGs when the back-up DG is plugged in and out

图13 备用电源插拔时平均电压控制的触发次数

Fig.13 Trigger times of average voltage control when the back-up DG is plugged in and out

图14 备用电源插拔时比例电流控制的触发次数

Fig.14 Trigger times of proportional current control when the back-up DG is plugged in and out

参考文献 22

[1]	杨新法，苏剑，吕志鹏，等. 微电网技术综述［J］. 中国电机工程学报，2014， 34（1）：57-70.
	Yang Xin-fa， Su Jian， Zhi-peng Lyu， et al. Overview on microgrid technology［J］. Proceedings of the CSEE， 2014， 34（1）： 57-70.
[2]	张勇军，刘子文，宋伟伟，等. 直流配电系统的组网技术及其应用［J］. 电力系统自动化，2019，43（23）：39-49.
	Zhang Yong-jun， Liu Zi-wen， Song Wei-wei， et al. Networking technology and its application of DC distribution system［J］. Automation of Electric Power Systems， 2019， 43（23）： 39-49.
[3]	李霞林，郭力，王成山，等. 直流微电网关键技术研究综述［J］. 中国电机工程学报，2016，36（1）：2-17.
	Li Xia-lin， Guo Li， Wang Cheng-shan， et al. Key technologies of DC microgrids： an overview［J］. Proceedings of the CSEE， 2016， 36（1）： 2-17.
[4]	Bidram A， Davoudi A， Lewis F L. A multiobjective distributed control framework for islanded AC microgrids［J］. IEEE Transactions on Industrial Informatics， 2014， 10（3）： 1785-1798.
[5]	Cintuglu M H， Mohammed O A， Akkaya K， et al. A survey on smart grid cyber-physical system testbeds［J］. IEEE Communications Surveys & Tutorials， 2017， 19（1）： 446-464.
[6]	Li Z W， Zang C Z， Zeng P， et al. Fully distributed hierarchical control of parallel grid-supporting inverters in islanded AC microgrids［J］. IEEE Transactions on Industrial Informatics， 2018， 14（2）： 679-690.
[7]	Guo F H， Xu Q W， Wen C Y， et al. Distributed secondary control for power allocation and voltage restoration in islanded DC microgrids［J］. IEEE Transactions on Sustainable Energy， 2018， 9（4）： 1857-1869.
[8]	Augustine S， Mishra M K， Lakshminarasamma N. Adaptive droop control strategy for load sharing and circulating current minimization in low-voltage standalone DC microgrid［J］. IEEE Transactions on Sustainable Energy， 2015， 6（1）：132-141.
[9]	Khayat Y， Naderi M， Shafiee Q， et al. Decentralized optimal frequency control in autonomous microgrids［J］. IEEE Transactions on Power Systems， 2019， 34（3）： 2345-2353.
[10]	Guerrero J M， Vasquez J C， Matas J， et al. Hierarchical control of droop-controlled AC and DC microgrids： a general approach toward standardization［J］. IEEE Transactions on Industrial Electronics， 2011， 58（1）： 158-172.
[11]	Hamad A A， Azzouz M A， Ei-Saadany E F. Multiagent supervisory control for power management in DC microgrids［J］. IEEE Transactions on Smart Grid， 2016， 7（2）： 1057-1068.
[12]	Nasirian V， Moayedi S， Davoudi A， et al. Distributed cooperative control of DC microgrids［J］. IEEE Transactions on Power Electronics， 2015， 30（4）： 2288-2303.
[13]	郭伟，赵洪山. 基于事件触发机制的直流微电网多混合储能系统分层协调控制方法［J］. 电工技术学报， 2020， 35（5）： 1140-1151.
	Guo Wei， Zhao Hong-shan. Coordinated control method of multiple hybrid energy storage system in DC microgrid based on event-triggered mechanism［J］. Transactions of China Electrotechnical Society， 2020， 35（5）：1140-1151.
[14]	Li X W， Tang Y， Karimi H R. Consensus of multi-agent systems via fully distributed event-triggered control［J］. Automatica， 2020， 116：108898.
[15]	Hung N T， Pascoal A M. Consensus synchronisation of networked nonlinear multiple agent systems with event-triggered communications［J］. International Journal of Control， 2022， 95（5）：1305-1314.
[16]	Chen M， Xiao X N， Guerrero J M. Secondary restoration control of islanded microgrids with a decentralized event-triggered strategy［J］. IEEE Transactions on Industrial Informatics， 2018， 14（9）：3870-3880.
[17]	Yi X L， Liu K， Dimarogonas D V， et al. Dynamic event-triggered and self-triggered control for multi-agent systems［J］. IEEE Transactions on Automatic Control， 2019， 64（8）：3300-3307.
[18]	Zhu W， Jiang Z P. Event-based leader-following consensus of multi-agent systems with input time delay［J］. IEEE Transactions on Automatic Control， 2015， 60（5）：1362-1367.
[19]	Guo F H， Wang L， Wen C Y， et al. Distributed voltage restoration and current sharing control in islanded DC microgrid systems without continuous communication［J］. IEEE Transactions on Industrial Electronics， 2020， 67（4）：3043-3053.
[20]	Xing L T， Xu Q W， Guo F H， et al. Distributed secondary control for DC microgrid with event-triggered signal transmissions［J］. IEEE Transactions on Sustainable Energy， 2021， 12（3）：1801-1810.
[21]	Girard A. Dynamic triggering mechanisms for event-triggered control［J］. IEEE Transactions on Automatic Control， 2015， 60（7）：1992-1997.
[22]	Ge X H， Han Q L， Ding L， et al. Dynamic event-triggered distributed coordination control and its applications： a survey of trends and techniques［J］. IEEE Transactions on Systems， Man， and Cybernetics： Systems， 2020， 50（9）：3112-3125.