Considering the non-stationary nature of chemical process
this paper presents a multi-resolution analysis (MRA) methodology for data processing. It is based on the time-frequency localization of wavelet analysis
which can extract temporal features localized in both frequency domain and time domain of process signal. In this algorithm
multi-scale wavelet transform (WT) of the process data is made
and the process data is decomposed into scaled signal and detail signal on each scale. According to their unique characteristics created by WT in the detail signals across time or scale
different variations are identified
such as steps
peaks
and noises. Especially
abnormal sudden changes
which are the most harmful temporal features to process analysis
are detected from a couple of WT modulus maxima with abnormal large amplitudes. With different variations modified with appropriate strategies
process data are reconstructed from the modified scaled signals and detail signals. It is a close approximation of the original process data
with noises discarded and abnormal sudden changes treated effectively
which traditional Fourier Transform of filtering is powerless to do. Using this method
the real process trends are extracted from the raw process data correctly. It is a powerful tool for dynamic process trends analysis
such as process steady state detection
faults diagnosis on-line and real time detection of gross errors in dynamic process data. This method has been applied to processing practical data of crude oil distillation plant. The result shows that the method is essential and effective for process trends analysis and treatment on-line.