Lagrange插值的改进算法研究及误差分析

张雷; 张国; 邱亚琴

引用本文:	张雷,张国,邱亚琴.Lagrange插值的改进算法研究及误差分析[J].电力系统保护与控制,2014,42(16):66-70.
	ZHANG Lei,ZHANG Guo,QIU Ya-qin.Research and error analysis of an improved Lagrange interpolation algorithm[J].Power System Protection and Control,2014,42(16):66-70

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Lagrange插值的改进算法研究及误差分析
张雷¹, 张国², 邱亚琴¹
1.河南机电高等专科学校自动控制系，河南新乡 453000;2.长庆油田矿区事业部，陕西西安 710018

摘要:

电力系统采样过程中对数据同步性要求很高，在IEC61850通信协议中推荐的插值算法同步方法。提出了一种改进的Lagrange插值算法，利用构造权函数的方法，补偿了一阶插值算法的误差，提高了计算效率。并在Matlab中就电力系统采样不同频率条件下的稳态特性及暂态特性的衰减直流分量和极限条件下的电压暂降等情况对该算法进行了仿真实验，实验证明了该改进算法在计算量和精度方面有一定的优势。

关键词: 合并单元 Lagrange插值同步算法权函数误差分析

DOI：10.7667/j.issn.1674-3415.2014.16.011

分类号:

基金项目:

Research and error analysis of an improved Lagrange interpolation algorithm

ZHANG Lei¹, ZHANG Guo², QIU Ya-qin¹

1.Henan Mechanical and Electrical Engineering College, Department of Automatic Control, Xinxiang 453000, China;2.Changqing Oilfield Mining Division, Xi’an 710018, China

Abstract:

There is a high demand for data synchronization in the sampling process in electric power system. Synchronization method is recommended by the interpolation algorithm in IEC61850 communication protocol. Here this paper puts forward an improved Lagrange interpolation algorithm. By using the method of constructing weighting function, it can compensate the error of the first-order interpolation algorithm and can improve the computational efficiency. Finally, the simulation experiments and a comparative analysis are carried out for the improved algorithm under different conditions such as steady-state characteristic for different sampling frequency, the transient characteristics of decaying DC component, limit of voltage sag, etc. Experiment result shows that the improved algorithm has many obvious advantages in computation and accuracy.

Key words: merging unit Lagrange interpolation synchronization algorithm weight function error analysis

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