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Operating Dynamics Analysis   283

            assigned a speed of 1,780 revolutions per minute (rpm) during setup. The analyst then
            assumes that all data sets were acquired at this speed. In actual practice, however, the
            motor’s speed could vary the full range between locked rotor speed (i.e., maximum
            load) to synchronous (i.e., no-load) speed. In this example, the range could be between
            1,750rpm and 1,800rpm, a difference of 50rpm. This variation is enough to distort
            data normalized to 1,780rpm. Therefore, it is necessary to normalize each data set to
            the actual operating speed that occurs during data acquisition rather than using the
            default speed from the database.

            Take care when using the vibration analysis software provided with most micro-
            processor-based systems to determine the machine speed to use for data normaliza-
            tion. In particular, do not obtain the machine speed value from a display-screen
            plot (i.e., on-screen or print-screen) generated by a microprocessor-based vibration
            analysis software program. Because the cursor position does not represent the true fre-
            quency of displayed peaks, it cannot be used. The displayed cursor position is an
            average value. The graphics packages in most of the programs use an average of four
            or five data points to plot each visible peak. This technique is acceptable for most data
            analysis purposes, but it can skew the results if used to normalize the data. The ap-
            proximate machine speed obtained from such a plot is usually within 10 percent of
            the actual value, which is not accurate enough to be used for speed normalization.
            Instead, use the peak search algorithm and print out the actual peaks and associated
            speeds.

            Load. Data also must be normalized for variations in load. Where speed variations
            result in a right or left shift of the frequency components, variations in load change
            the amplitude. For example, the vibration amplitude of a centrifugal compressor taken
            at 100 percent load is substantially lower than the vibration amplitude in the same
            compressor operating at 50 percent load.

            In addition, the effect of load variation is not linear. In other words, the change in
            overall vibration energy does not change by 50 percent with a corresponding 50
            percent load variation. Instead, it tends to follow more of a quadratic relationship.
            A 50 percent load variation can create a 200 percent, or a factor of four, change in
            vibration energy.

            None of the comparative trending or diagnostic techniques used by traditional vibra-
            tion analysis can be used on variable-load machine-trains without first normalizing
            the data. Again, since even machines classified as constant-load operate in a variable-
            load condition, it is good practice to normalize all data to compensate for load varia-
            tions using the proper relationship for the application.

            Other Process Variables. Other variations in a process or system have a direct effect
            on the operating dynamics and vibration profile of the machinery. In addition to
            changes in speed and load, other process variables affect the stability of the rotating
            elements, induce abnormal distribution of loads, and cause a variety of other abnor-
            malities that directly impact diagnostics.  Therefore, each acquired data set should
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