【作者】 李博； 陈栋新； 郭昊； 孙建军； 查晓明；

【Author】 LI Bo;CHEN Dong-xin;GUO Hao;SUN Jian-jun;ZHA Xiao-ming;School of Electrical Engineering Wuhan University;State Grid Henan Electric Power Company;State Grid Luohe Electric Power Company;

【机构】 武汉大学电气工程学院； 国网河南省电力公司； 国网漯河供电公司；

【摘要】 随着敏感型高精度设备的大规模使用,用户对电力系统供电质量提出了更高的要求。本文针对现阶段合并单元数据处理器有限的计算能力和电能质量监测的高精度要求之间的矛盾,提出了一种运算量小、计算精度高的改进插值算法。该算法基于三样条插值理论,根据在等间隔采样中部分参数的不变性和二阶导数求解方程组的系数分布特征,简化方程组为三对角线性方程,应用追赶法求解;并根据方程组迭代求解过程中的快速收敛性,精简Crout分解过程。通过仿真分析,验证了改进插值算法在计算时间和谐波测量精度两方面的提升。更多还原

【Abstract】 With the large-scale use of sensitive high-precision equipment, electricity users have put forward higher requirements for power quality. Aiming at the contradiction between the limited computing ability of Merging Unit and the high requirement of power quality monitoring accuracy, an improved interpolation algorithm is proposed. Based on the cubic spline interpolation theory, the characteristics of equally spaced samples and the invariance of some parameters are used to transform the second derivative equations to tridiagonal linear equations. And the rapid convergence of Crout decomposition is proved, the chasing method is simplified. Finally, through simulation analysis, it is verified that the improved algorithm has rapider operation speed and more accurate harmonic measurement accuracy.更多还原