电工技术学报  2023, Vol. 38 Issue (5): 1299-1311    DOI: 10.19595/j.cnki.1000-6753.tces.212097
电机及其系统 |
计及时滞的含风电配电网节点电压安全分析
崔庆雪1, 李霞林1, 葛磊蛟1, 李天楚2, 李献2
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
Analysis on Node Voltage Security of Distribution Network with Wind Power Considering Time Delay
Cui Qingxue1, Li Xialin1, Ge Leijiao1, Li Tianchu2, Li Xian2
1. Key Laboratory of Smart Grid of Ministry of Education Tianjin University Tianjin 300072 China;
2. Power Research Institute of Hainan Power Grid Co. Ltd Haikou 570311 China
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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。
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崔庆雪
李霞林
葛磊蛟
李天楚
李献
关键词 配电网时滞电压安全Lyapunov-Krasovskii泛函Wirtinger不等式    
Abstract: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 distribution network with two wind turbine generators show that the system voltage is critical stable when the upper limit of time-delay is 5.9s; when it is greater than 5.9s, that is, it exceeds the upper limit of stability, and the system gradually loses stability. The regulated system without considering the effect of time-delay can not adapt to the operation of fluctuating power supply, and can not accurately reflect the dynamic response with wind turbines. After adjusting according to the time-delay stability margin, the node voltage of the distribution network can adapt to the operation of fluctuating power sources, accurately reflect the dynamic response with the distribution network system, and change within the safe operation range.
The following conclusions can be drawn from the simulation analysis: (1) Time-delay has a significant impact on the dynamic response of the system, and multiple time-delay links caused by intermittent wind power need to be considered in the distribution network system model. (2) The method presented in this paper can be used to analyze the upper bound of time-delay for safe operation of systems under the influence of random time delays. When the control communication time is less than the upper bound of the delay, the system can maintain stability. When the control communication time exceeds the upper limit of time-delay, the system voltage will gradually lose stability. Under the same delay parameter value, the system stability margin obtained in this paper is larger, which shows that this paper effectively reduces the conservatism of the criterion.
Key wordsDistribution network    time-delay    voltage safety    Lyapunov-Krasovskii function    Wirtinger inequality   
收稿日期: 2021-12-24     
PACS: TM712  
基金资助: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)和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
通讯作者: 葛磊蛟 男,1984年生,副教授,硕士生导师,研究方向为智能配电网态势感知、新能源并网优化控制和智能配用电大数据云计算技术等。E-mail:legendglj99@tju.edu.cn   
作者简介: 崔庆雪 女,1999年生,硕士研究生,研究方向为配电网时滞不确定性分析。E-mail:a1023480040@163.com
引用本文:   
崔庆雪, 李霞林, 葛磊蛟, 李天楚, 李献. 计及时滞的含风电配电网节点电压安全分析[J]. 电工技术学报, 2023, 38(5): 1299-1311. Cui Qingxue, Li Xialin, Ge Leijiao, Li Tianchu, Li Xian. Analysis on Node Voltage Security of Distribution Network with Wind Power Considering Time Delay. Transactions of China Electrotechnical Society, 2023, 38(5): 1299-1311.
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