虚假数据注入攻击下直流微电网分布式弹性控制

doi:10.12068/j.issn.1005-3026.2026.20240146

摘要/Abstract

摘要：

针对直流微电网在虚假数据注入攻击下出现电压偏差和电流分配失衡的问题，以多分布式电源的孤岛直流微电网为研究对象，提出一种分布式弹性协同控制方法.该方法能有效消除虚假数据注入攻击的影响，在正常情况下也不会干扰到系统的运行.通过Lyapunov稳定理论证明了直流微电网在受到任意常值虚假数据注入攻击时均能保证正常稳定运行，实现电压调控和电流分配2个控制目标.利用MATLAB/Simulink搭建了仿真模型，验证了该控制方法的有效性.

关键词: 直流微电网, 虚假数据注入攻击, 分布式二次控制, 弹性控制方法, 电压调控, 电流分配

Abstract:

In order to solve the problem of voltage deviation and current distribution imbalance in direct current （DC） microgrid under false data injection attack， a distributed resilient cooperative control method was proposed by taking the islanded DC microgrid with multiple distributed generators as the research object. This method could effectively eliminate the impact of false data injection attacks and will not interfere with the operation of the system under normal circumstances. The Lyapunov stability theory was used to prove that the DC microgrid can operate stably when it is attacked by any constant false data injection， achieving the two control objectives of voltage regulation and current distribution. The simulation model was built by MATLAB/Simulink， and the validity of the control method was verified.

Key words: DC microgrid, false data injection attack, distributed secondary control, resilient control method, voltage regulation, current distribution

中图分类号:

TP 273

邰源政, 孟范伟, 张煜. 虚假数据注入攻击下直流微电网分布式弹性控制[J]. 东北大学学报（自然科学版）, 2026, 47(1): 67-74.

Yuan-zheng TAI, Fan-wei MENG, Yu ZHANG. Distributed Resilient Control of DC Microgrid Under False Data Injection Attack[J]. Journal of Northeastern University(Natural Science), 2026, 47(1): 67-74.

图/表 13

图1 直流微电网一次控制

Fig.1 Primary control of DC microgrid

图2 多母线直流微电网

Fig.2 Multi-bus DC microgrid

图3 直流微电网分布式二次控制策略

Fig.3 Distributed secondary control strategy of DC microgrid

图4 直流微电网分布式弹性控制策略

Fig.4 Distributed resilient control strategy of DC microgrid

图5 分布式电源间的通信图

Fig.5 Communication diagram among distributed generators

表1 微电网仿真参数

Table 1 Microgrid simulation parameters

参数	数值	用途
输入电压/V	100	提供降压转换的基础电压
输入标称电压/V	48	保证电气性能的稳定
开关频率/kHz	1.25	影响开关管的开断
滤波电容/ $μ F$	2 200	滤除高频噪声
滤波电感/mH	10	平滑电流，储能
电流环PI参数	4/800	检测和调节电流的大小
电压环PI参数	5/110	确保输出电压的稳定和精确
输出线路阻抗/ $Ω$	0.01	保护电路

表1 微电网仿真参数

Table 1 Microgrid simulation parameters

参数	数值	用途
输入电压/V	100	提供降压转换的基础电压
输入标称电压/V	48	保证电气性能的稳定
开关频率/kHz	1.25	影响开关管的开断
滤波电容/ $μ F$	2 200	滤除高频噪声
滤波电感/mH	10	平滑电流，储能
电流环PI参数	4/800	检测和调节电流的大小
电压环PI参数	5/110	确保输出电压的稳定和精确
输出线路阻抗/ $Ω$	0.01	保护电路

图6 分布式电源的平均电压和输出电流（a）—平均电压；（b）—输出电流.

Fig.6 Average voltage and output current of distributed generators

图7 单个分布式电源的平均电压和输出电流（a）—平均电压；（b）—输出电流.

Fig.7 Average voltage and output current of single distributed generator

图8 弹性控制下分布式电源的平均电压和输出电流（a）—平均电压；（b）—输出电流.

Fig.8 Average voltage and output current of distributed generators under resilient control

图9 DG1的攻击信号与攻击消除（a）—攻击信号；（b）—攻击消除.

Fig.9 Attack signal and ttack elimination of DG1

图10 不存在弹性控制时分布式电源的平均电压和输出电流（a）—平均电压；（b）—输出电流.

Fig.10 Average voltage and output current of distributed generators in the absence of flexible control

图11 弹性控制下分布式电源的平均电压和输出电流（a）—平均电压；（b）—输出电流.

Fig.11 Average voltage and output current of distributed generators under resilient control

图12 攻击信号与攻击消除（a）—一攻击信号；（b）—二攻击消除.

Fig.12 Attack signal and attack elimination

参考文献 17

[1]	Khazaei J， Nguyen D H. Multi-agent consensus design for heterogeneous energy storage devices with droop control in smart grids［J］. IEEE Transactions on Smart Grid， 2019， 10（2）： 1395-1404.
[2]	Zhang Q W， Li F X. Financial resilience and financial reliability for systemic risk assessment of electricity markets with high-penetration renewables［J］. IEEE Transactions on Power Systems， 2022， 37（3）： 2312-2321.
[3]	解相朋，杨馥伊，魏聪，等. 混合攻击下直流微电网的FDI估计与模糊控制联合设计［J］. 控制与决策， 2023， 38（8）： 2335-2345.
	Xie Xiang-peng， Yang Fu-yi， Wei Cong， et al. Joint design of FDI estimation and fuzzy control for DC microgrid under hybrid attacks［J］. Control and Decision， 2023， 38（8）： 2335-2345.
[4]	Wang X Y， Dong X， Niu X T， et al. Toward balancing dynamic performance and system stability for DC microgrids： a new decentralized adaptive control strategy［J］. IEEE Transactions on Smart Grid， 2022， 13（5）： 3439-3451.
[5]	Zhou D， Zhang Q， Guo F H， et al. Distributed resilient secondary control for islanded DC microgrids considering unbounded FDI attacks［J］. IEEE Transactions on Smart Grid， 2024， 15（1）： 160-170.
[6]	Khayat Y， Shafiee Q， Heydari R， et al. On the secondary control architectures of AC microgrids： an overview［J］. IEEE Transactions on Power Electronics， 2020， 35（6）： 6482-6500.
[7]	Lu J H， Jiang H Y， Hou X C， et al. Distributed edge-based event-triggered control for voltage restoration and current sharing in DC microgrids under DoS attacks［J］. IEEE Transactions on Industrial Electronics， 2023， 70（8）： 8053-8063.
[8]	Deng C， Guo F H， Wen C Y， et al. Distributed resilient secondary control for DC microgrids against heterogeneous communication delays and DoS attacks［J］. IEEE Transactions on Industrial Electronics， 2022， 69（11）： 11560-11568.
[9]	Chen Y L， Qi D L， Dong H N， et al. An FDI attack-resilient distributed secondary control strategy for islanded microgrids［J］. IEEE Transactions on Smart Grid， 2021， 12（3）： 1929-1938.
[10]	Lian Z J， Guo F H， Wen C Y， et al. Distributed resilient optimal current sharing control for an islanded DC microgrid under DoS attacks［J］. IEEE Transactions on Smart Grid， 2021， 12（5）： 4494-4505.
[11]	Sahoo S， Mishra S， Peng J C， et al. A stealth cyber-attack detection strategy for DC microgrids［J］. IEEE Transactions on Power Electronics， 2019， 34（8）： 8162-8174.
[12]	Lu L Y， Liu H J， Zhu H， et al. Intrusion detection in distributed frequency control of isolated microgrids［J］. IEEE Transactions on Smart Grid， 2019， 10（6）： 6502-6515.
[13]	Jin X， Haddad W M， Yucelen T. An adaptive control architecture for mitigating sensor and actuator attacks in cyber-physical systems［J］. IEEE Transactions on Automatic Control， 2017， 62（11）： 6058-6064.
[14]	Zhou Q， Shahidehpour M， Alabdulwahab A， et al. A cyber-attack resilient distributed control strategy in islanded microgrids［J］. IEEE Transactions on Smart Grid， 2020， 11（5）： 3690-3701.
[15]	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.
[16]	Zuo S， Altun T， Lewis F L， et al. Distributed resilient secondary control of DC microgrids against unbounded attacks［J］. IEEE Transactions on Smart Grid， 2020， 11（5）： 3850-3859.
[17]	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.