变电站电磁场测量数据的径向基函数处理方法

Electromagnetic Measurement Data Processing by Using Radial Basis Function in Substation

为更准确描述变电站内的电磁环境,针对有限的电磁场测量数据,提出了基于径向基函数插值的数据后处理方法。首先将变电站测量数据处理归结为一类曲面插值模型,给出了径向基函数曲面插值的离散方程和实施方案。在实测电磁场数据的基础上进行的插值仿真结果表明:插值后场量函数的连续性、光滑性更好,更贴切反映了物理量的连续变化规律并给出区域内场量分布更精细的信息;径向基函数插值实施简便,对空间维数不敏感并可方便应用于二维和三维数据处理中,是一种有效的数据后处理方法。

It is difficult to more accurately evaluate the electromagnetic environment around substation with limited measurement data, therefore, a radial basis function（RBF） interpolation method is proposed for the data post processing. Firstly, the measurement data processing for substation＇s electromagnetic field quantities is modeled by the curved face interpolation, and the principle of RBF curved face interpolation is expounded. Then, a series of discrete equations and implementation procedure are presented. Finally, numerical experiments are carried out based on measurement data of substation＇s field quantities. The results show that the field quantities＇ functions gain better continuity and smoothness after post processing by curved face interpolation. The processed field functions not only reflect the physics law of physical quantity＇s continuous changing characteristics properly, hut also show much more subtle information of field quantities in measurement area. The RBF curved interpolation can be implemented simply and conveniently. In addition, the RBF is insensitive to spatial dimension, so the method is very suitable for disposing problems of three- or higher- dimension.