基于对角隐式Runge-Kutta法的新型数字积分器研究  

New digital integrator schemes based on diagonally implicit Runge-Kutta methods

作　　者：叶远波 黄太贵 吴保文 何红星 Ye Yuanbo;Huang Taigui;Wu Baowen;He Hongxing(State Grid Anhui Electrical Power Limited Company, Hefei 230022, China;State Grid Anhui Electrical Power Transmission & Transportation Company, Hefei 230022, China)

机构地区：[1]国网安徽省电力有限公司,合肥230022 [2]安徽送变电工程公司,合肥230022

出　　处：《电测与仪表》2019年第8期23-29,共7页Electrical Measurement & Instrumentation

基　　金：国家电网公司科技项目资助(521200160017)

摘　　要：数字积分器是基于空心线圈的电子式电流互感器的重要环节之一。对此文中基于对角隐式龙格库塔法提出了一种新的拓展梯形数字积分算法。为提高新型数字积分算法的积分精度,采用复合积分并推导出了不同采样频率下的通用新型数字积分器的传递函数。由于新型数字积分器的传递函数中含有分数延迟项,因此采用FIR和IIR两种滤波算法对其进行仿真分析。MATLAB仿真结果表明,新型数字积分器在低频段的性能要优于梯形数字积分器,可为基于Rogowski线圈的电子式电流互感器的积分环节提供一种全新的设计方法。The digital integrator is one of the important aspects of an electronic current transformer based on an air coil. In this paper, a new extended trapezoidal digital integration algorithm is proposed based on the diagonally implicit Runge-Kutta method. In order to improve the integration accuracy of the new digital integration algorithm, the composite integration is adopted to derive the transfer function of a universal new-type digital integrator at different sample frequencies. Since the transfer function of the new digital integrator contains a fractional delay term, it is simulated using FIR and IIR filter algorithms. The simulation results by MATLAB show that the performance of the new digital integrator is better than that of the trapezoidal digital integrator in the low frequency range, which can provide a new design method for the integral part of the electronic current transformer based on Rogowski coil.

关 键 词：数字积分器 对角隐式龙格库塔法 分数延迟 电子式电流互感器 

分 类 号：TM452[电气工程—电器]