Evaluation of stability of vibration based on the algorithm of generalized variance

Vibration control unit sensors are typically installed at several points, with indicators of vibrations are correlated. To monitor the stability of the vibrations can be used techniques multivariate statistical process control. Middle-tier monitoring process shall be carried out on the basis of Hotelling’s algorithm. To monitor the dispersion of vibration can be applied the algorithm of generalized variance. To assess the effectiveness of monitoring of the multidimensional scattering based on generalized variance for special tests. The main types of violation of process parameter of scattering vibrations are normally increase and trend. Testing sensitivity to possible violations is estimated using the average length of a series is the number of observations from the moment of violation process until the discovery of the breach. To conduct statistical tests must simulate a lot of samples of identical real process vibrations, as well as possible violations of process. For simulated samples built maps generalized dispersion, by which and estimated the average length of the series. If you need to increase the effectiveness of control methods can be used.