基于白箱树突网络的电压灵敏度实时计算方法  

A Real-time Calculation Method of Voltage Sensitivity Based on White-box Dendritic Net

作　　者：马庆[1] 邓长虹[1] 龙志君[1] MA Qing;DENG Changhong;LONG Zhijun(Hubei Key Laboratory of Power Equipment&System Security for Integrated Energy(School of Electrical Engineering and Automation,Wuhan University),Wuhan 430072,Hubei Province,China)

机构地区：[1]综合能源电力装备及系统安全湖北省重点实验室(武汉大学电气与自动化学院),湖北省武汉市430072

出　　处：《中国电机工程学报》2024年第19期7503-7514,I0002,共13页PROCEEDINGS OF THE CHINESE SOCIETY FOR ELECTRICAL ENGINEERING

基　　金：国家电网公司科技项目(5100-202336015A-1-1-ZN)。

摘　　要：由于传统电压灵敏度计算需要以知晓精确网络参数为前提,近年来各类基于数据驱动的电压灵敏度拟合方法被相继提出。但现有方法针对新运行场景需要重复所有回归操作才能获得精确的灵敏度值,因此无法真正应用于灵敏度的实时计算。该文提出一种基于树突网络(dendrite net,DN)的电压灵敏度实时计算方法,基于DN拟合等价于泰勒展开的白箱性质,建立适用于任意运行场景的系统状态参数至节点电压的端到端映射。通过对基于DN的节点电压显性表达式进行提取和求导,最终形成只包含极少计算量的电压灵敏度显性表达式,将灵敏度计算速度提升至微秒级。其次,在基于DN的节点电压显性表达式中,各输入的一阶分量系数在任意运行场景下均保持恒定,可直接作为评判节点电压与状态参数相关性的评价指标。基于IEEE 118节点系统等3个不同规模算例的仿真计算结果证明该文方法的正确性和优越性。Since the traditional voltage sensitivity calculation requires the knowledge of network parameters,various data-driven voltage sensitivity fitting methods have been proposed recently.However,existing data-driven methods necessitate the repetition of all regression operations for new scenarios in order to achieve accurate values,thereby rendering them unsuitable for real-time calculations.This paper proposes a Dendritic network(DN)based voltage sensitivity calculation method,which establishes an end-to-end mapping of state parameters to node voltages for any scenario based on the white-box property that DN fitting is equivalent to Taylor expansion.By extracting and deriving the voltage explicit expressions from DN,the explicit expression of voltage sensitivity containing only an extremely small amount of computation is ultimately formed.In addition,in the explicit expression of DN based voltage sensitivity,the first-order component coefficient of each input keeps constant under any scenario,which can be directly used as an evaluation index to judge the correlation between node voltage and state parameters.The calculation results based on the three different scale systems verify the correctness and superiority of the methods proposed in this paper.

关 键 词：电压灵敏度 树突网络 潮流计算 输入/输出相关性指标 

分 类 号：TM71[电气工程—电力系统及自动化]