直流配电系统主从控制下的随机稳定性分析  

Stochastic Stability Analysis of DC Distribution System Under Master-slave Control

作　　者：邢琳 彭克[1] 张新慧[1] 姜妍 刘雨昕 蔡元鑫 XING Lin;PENG Ke;ZHANG Xinhui;JIANG Yan;LIU Yuxin;CAI Yuanxin(College of Electrical and Electronic Engineering,Shandong University of Technology,Zibo 255000,China)

机构地区：[1]山东理工大学电气与电子工程学院,山东省淄博市255000

出　　处：《电力系统自动化》2023年第9期110-117,共8页Automation of Electric Power Systems

基　　金：国家自然科学基金资助项目(51807112)。

摘　　要：分布式电源的间歇性波动以及储能、电动汽车反复充放电等随机因素对直流配电系统的稳定运行带来了极大的挑战。首先,文中针对主从控制下直流配电系统的随机激励,建立了降阶随机微分方程,推导了系统随机微分方程的解析解。然后,建立了均值及均方稳定性的解析化判据,全面刻画了小扰动稳定与均值及均方稳定的关系,推导出小扰动不稳定但均值均方稳定的判据。最后,通过仿真及实验验证了理论分析的有效性。The intermittent fluctuations of distributed generators and stochastic factors such as repeated charging and discharging of energy storage and electric vehicles bring great challenges to the stable operation of DC distribution systems.First,this paper establishes a reduced-order stochastic differential equation for the stochastic excitation of the DC distribution system under masterslave control and derives the analytical solution of the stochastic differential equation.Then,the analytic criterion of mean and mean square stability is established,and the relationship between small disturbance stability and average and mean square stability is comprehensively portrayed.The criterion of small disturbance instability,average stability and mean square stability is derived.Finally,the validity of the theoretical analysis is verified by simulation and experiment.

关 键 词：柔性直流配电系统 随机微分方程 均值稳定 均方稳定 小扰动稳定 

分 类 号：TM721.1[电气工程—电力系统及自动化] TM712