用分形理论拟合高压绝缘子泄漏电流曲线

Curve Fitting of Leakage Current on HV Insulators with the Fractal Theory

泄漏电流信号中包含了污秽绝缘子闪络发展过程的丰富信息,但庞大的数据量使得传送和处理系统速度降低,为此以分形理论为基础从泄漏电流的非线性特性和后期的剧烈震荡性出发,应用分形插值方法和有限的插值点,选用适当的压缩算子构造出原始泄漏电流信号。反过来也可把数据压缩到有限的几个点上,是一种有效的数据压缩方法。实验结果表明,分形插值法在不光滑曲线的拟合中具有独特的优越性。应用分形插值方法使得泄漏电流在压缩、传输过程中数据量大大减小。

The abundance information of contaminated insulators flashover processing is included in the leakage current, but huge data decrease the speed of transmission and management system. In according with the non-linear and acute shock characteristic of leakage current, this paper uses fractal interpolation with right compressed arithmetic operators to construct the original leakage current from limited data based on the fractal theory, and the original leakage current data are gotten from insulator flashover experiments. Whereas, fractal interpolation is also a good data compression method. In order to get a high precise and smooth curve, subsection linear fractal interpolation and SVM function are used. The curve fitting experiment results show that the fractal interpolation is provided with unique advantage in the fitting of devious curve.