一种适用于配网暂态数据的高阶求导方法  

A High-Order Derivation Method for Distribution Network Transient Data

作　　者：蒋文弢 李世勉 冯宗琮 冉小康 陈勇[2] JIANG Wentao;LI Shimian;FENG Zongcong;RAN Xiaokang;CHEN Yong(Beibei Power Supply Branch of State Grid Chongqing Electric Power Company,Chongqing 400700,China;Chongqing University of Technology/Chongqing Engineering Research Center of Energy Internet,Chongqing 400054,China)

机构地区：[1]国网重庆市电力公司北碚供电分公司,重庆400700 [2]重庆理工大学/重庆市能源互联网工程技术研究中心,重庆400054

出　　处：《西南大学学报（自然科学版）》2021年第12期191-197,共7页Journal of Southwest University(Natural Science Edition)

基　　金：国网重庆市电力公司2019年研究开发项目(2019渝电科技自51#);国家自然科学基金项目(51607020);重庆市教育委员会科学技术研究项目(KJQN201801113).

摘　　要：现在配网中的各类算法大都需要对数据进行高阶求导,传统高阶求导方法由于其自身理论的局限,在低阶和高阶情形下都难以准确计算.为了提高计算精度,本文提出一种新的高阶求导方法,在多项式拟合法的基础上,通过分析配网中电压电流信号的暂态特性,合理选取拟合的基底函数,用最小二乘法计算基底函数系数以实现对目标函数的拟合,将新的拟合函数代替原离散数据作求导运算,在保证抗干扰能力的同时克服了传统多项式拟合法在高阶情形下的局限.仿真结果表明,本方法在高阶和低阶情形下都有较高的准确性和良好的抗干扰能力.Nowadays,all kinds of algorithms in distribution network need high-order derivation of data.Due to the limitation of their own theories,the traditional high-order derivation methods are difficult to calculate accurately in both low-order and high-order cases.In order to improve the calculation accuracy,a new high-order derivative method is proposed in this paper.Based on the polynomial fitting method,by analyzing the transient characteristics of voltage and current signals in the distribution network,the base function is selected for fitting reasonably,and the coefficient of the base function is calculated by the least square method to fit the objective function.The new fitting function is used to replace the original discrete data for derivative operation,which not only ensures the anti-interference ability,but also overcomes the limitations of the traditional polynomial fitting method in high-order cases.Simulation results show that this method has high accuracy in high-order and low-order cases,and has good accuracy and anti-interference ability.

关 键 词：高阶求导 差分法 多项式拟合 正弦多项式 

分 类 号：TP393[自动化与计算机技术—计算机应用技术]