动态过程非平稳性度量及其在设备诊断工程中的应用

以随机过程Z_t构建所有两点间距离过程X_S,在证明X_S完全体现了Z_t的一、二阶矩函数变化的基础上,证明相关积分(Correlation integral)能够反映Z_t的非平稳性。以X_S的概率密度函数为依据引出了相关积分算式中参考距离的取值原则。以相关积分为基础定义了设备动态过程非平稳性的度量参数:绝对非平稳度、相对非平稳度、绝对非平稳率、相对非平稳率。分别以工程实例和试验例子论证了非平稳性度量参数工程应用的有效性。简单阐述了非平稳性度量参数在信号分析与故障诊断系统中的应用。

UNSTEADINESS MEASUREMENT OF DYNAMIC PROCESS AND ITS APPLICATION TO EQUIPMENT- DIAGNOSING ENGINEERING

The process Xs of interpoint distance between all pairs of points in the random process Z, is constructed. It is proved that Xs could reflect the changes of first- and second-order moment function of Zt. Also it is proved that correlation integral could reflect the unsteadiness of Zt. According to the function of probability density of Xs, the method of taking value of reference distance in correlation integral formula is proposed. Based on correlation integral, the unsteadiness-measuring parameters of equipment dynamical process are defined which are absolute degree of unsteadiness, relative degree of unsteadiness, absolute ratio of unsteadiness and relative ratio of unsteadiness. By means of the applications of these parameters to a real case of production field and a case of our experiment, it is demonstrated that the unsteadiness-measuring parameters are available in equipment-diagnosing engineering. The use of these parameters to the system of signal analysis and fault diagnosis is presented.