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Abstract: The process Xs of interpoint distance between all pairs of
points in the random process Zt 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.
Key words: Unsteady signal Rotate stall Correlation integral
Process unsteadiness Ratio of process unsteadiness
CLC No: TP273
国家“九五”攀登计划(PD9521908Z1)和河南省科技攻关(20001120323)资助项目. Received 20020716,
received in revised form 20030420
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