偏微分方程在轴心轨迹提纯中的应用

Purification of the shaft centerline orbit with partial differential equation

转子轴心轨迹包含了丰富的故障征兆信息,但因噪声的干扰,实测的轴心轨迹往往非常混乱。针对传统轴心轨迹提纯方法存在的问题,提出了偏微分方程(partial diffetential equation)轴心轨迹提纯新方法。分析了PDE滤波的基本原理、PDE滤波器的参数设计及其数值化过程,指出了PDE滤波与传统滤波器的相关性,实现了基于PDE的轴心轨迹提纯。实验表明,PDE方法可有效滤除信号中的噪声,且适应性强;去噪之后信号畸变少,保证了滤波前后信号固有结构不变。

The shaft centerline orbit contains abundant information about fault symptoms,but the measured orbit is often confused by the interference of noise.Based on partial differential equation（PDE）,this paper proposes a method for purification of the shaft centerline orbit to overcome the shortcomings of the traditional method.We analyze the principle of filtering based on PDE,PDE filter parameter design and its numerical process.Its correlativity is discussed with the traditional filter and realized the purification of the shaft centerline orbit.Experiment results show that the method is a flexible method of denoise,can effectively eliminate the noise disturbing,also avoid signal distortions after denoise,and at the same time keep the property of signal.