计及时滞的含风电配电网节点电压安全分析  

Analysis on Node Voltage Security of Distribution Network with Wind Power Considering Time Delay

作　　者：崔庆雪 李霞林[1] 葛磊蛟[1] 李天楚 李献 Cui Qingxue;Li Xialin;Ge Leijiao;Li Tianchu;Li Xian(Key Laboratory of Smart Grid of Ministry of Education Tianjin University,Tianjin 300072,China;Power Research Institute of Hainan Power Grid Co.Ltd,Haikou 570311,China)

机构地区：[1]天津大学智能电网教育部重点实验室,天津300072 [2]海南电网有限责任公司电力科学研究院,海口570311

出　　处：《电工技术学报》2023年第5期1299-1311,共13页Transactions of China Electrotechnical Society

基　　金：国家电网有限公司总部科技项目(5100-202155018A-0-0-00);国家自然科学基金项目(51807134);电力系统大型发电设备安全控制与仿真国家重点实验室开放基金课题(N0.SKLD21KM10)资助。

摘　　要：随着新型电力系统的发展,强间歇性、随机性的风电点多面广地接入配电网,导致其潮流分布发生了巨大变化,给配电网安全可靠运行带来挑战。尤其在配电网运行控制过程中,数据计算、指令传输、指令响应等多环节均存在的不确定性耗时,可能会造成控制策略失灵乃至局部节点电压越限,因此,精准掌握配电网的最大可调控时延即时滞稳定裕度非常必要。为此,该文首先构建了计及时滞的含风电配电网节点电压安全分析偏导数微分超越方程的数学模型;然后提出一种Lyapunov-Krasovskii泛函构造方法,并应用Wirtinger不等式技巧处理泛函导数中的积分项,实现对所构建偏导数微分超越方程的求解,得到稳定判据,获知其时滞稳定裕度;最后借助典型案例和IEEE 33算例进行仿真验证。结果表明,该文所得稳定判据具有更低的保守性,以期为不确定时滞影响下的配电网运行控制提供理论依据。The superposition effect of time-delay phenomenon leads to the failure of preset parameters for the safe operation control of distribution network voltage,and the system operation condition is further deteriorated.However,the previous analysis models of distribution network security operation control seldom consider the time-delay or execute according to the time-delay of a fixed constant,which is difficult to meet the actual demand.At the same time,there is still a lack of relevant literature that considers the time-delay factor in the node voltage security analysis of distribution network.In order to address these issues,this paper has carried out in-depth research on node voltage security analysis of wind power distribution network with time-delay.By solving the time-delay stability margin,a numerical reference is provided for the accurate regulation of the safe operation of the node voltage of the distribution network with wind power.Firstly,construct a mathematical model of partial derivative differential transcendental equation for node voltage safety analysis of time-delay distribution networks with wind power.Then,propose a Lyapunov-Krasovskii generalized function construction method,and apply Wirtinger’s inequality technique to deal with the integral term in the generalized derivative to solve the constructed partial derivative differential transcendental equation and obtain the stability criterion to know its time-delay stability margin.Finally,the simulation is verified with the help of the typical case and IEEE 33 examples.Simulation results of typical second-order systems show that the proposed method can significantly reduce the conservatism of stability criteria.Simulation results of distribution network with a single wind turbine generator unit show that when the upper limit of time-delay is 5.1 s,the system voltage is critical stable;when it is greater than 5.1 s,that is,it exceeds the upper limit of stability,and the distribution system gradually loses stability.Simulation results of distribut

关 键 词：配电网 时滞 电压安全 LYAPUNOV-KRASOVSKII泛函 WIRTINGER不等式 

分 类 号：TM712[电气工程—电力系统及自动化]