基于牛顿插值法的电子互感器数据同步分析

Data Synchronization Based on Newton Interpolation for Electronic Instrument Transformer

简单介绍了电子互感器的数据同步问题,分析了目前各种常用的同步方法及其优缺点,并对数值分析中牛顿插值算法的误差进行了理论分析和数值仿真验证.理论分析表明,牛顿插值法可以获得与拉格朗日插值法相同的精度,可以很好地同步包含高次谐波的数据,同时其乘法计算量较少,可以更快地获得同步数据.最后,采用Matlab作为仿真工具,设置了等距节点和非等距节点的采样值数据,分别进行了稳态采样值和暂态采样值最大误差计算,仿真结果证明了此方法的可行性.

The synchronization of electronic transformer data is introduced. Synchronization method commonly used is analyzed in terms of their advantages and disadvantages. Then,a new approach based on Newton interpolation is presented,and the simulation and error analysis are given. The theoretical analysis shows that this method can reach the same precision with Lagrange interpolation which is accurate in synchronization of harmonic components and obtain the synchronized data fast. Finally,equal interval sampling and non-equal interval sampling data are set,and the maximum error in the case of the steady state and transient state are calculated respectively by using matlab. The simulation results prove the feasibility and the engineering practical value of this method.