分形插值法拟合铝液界面波动曲线

Simulation of liquid aluminum fluctuation curve in fractal interpolation method

采用少量的数据点,运用分形插值方法拟合铝电解槽阳极导杆等距时间电压降曲线,发现通过分形插值函数拟合出的曲线更接近原始数据作出的实际曲线,证明铝电解槽中熔融电解质与铝液界面的波动曲线是非线性的,具有分形特征。另外,代入不同的垂直比例因子,分形插值曲线的形态是不同的,证实垂直比例因子对分形插值生成的曲线具有一定的影响。将分形插值曲线和传统插值曲线比较,证实了分形插值拟合曲线的优越性。

It is more close to actual curves by fractal interpolation to simulate anode conductor voltage drop curves in aluminum electrolytic cell using a few data points. It is proved that fluctuation curves of electrolyte and liquid aluminum in aluminum electrolytic cell are nonlinear, with fractal characteristics. Besides, different frac-tal interpolation curves were produced by different vertical scale factors. It is also proved that different vertical scale factor has an effect on the simulated carves. In addition, the superiority of fractal interpolation is shown compared with traditional interpolation.