Once we appreciate that torque data is available in the drive at virtually no cost, as well as the corresponding speed data, we can enter a new realm for machine and plant monitoring. The following is a range of possibilities that we have encountered at Control Techniques.
Readers may have new ideas for types of machines — it takes detailed knowledge of the machine to invent new methods for using the torque data that is released by the drive.
Simple limits for average or peak torqued. The real-time torque data can be smoothed to give a running average value when the drive is active, or the peak value can be captured on a time scale chosen to suit the application; this could be anything — from milliseconds to days — depending on the process. An alarm can be generated if the value moves outside of an expected range (i.e., it exceeds an expected value or, less commonly, falls below an expected value).
Trend of torque. The same torque data can be logged and analyzed for trend over time or against any other variable, with alarms set to indicate an unhealthy trend.
Simple correlations of average torque with speed. In many processes the torque is strongly dependent on the speed, in a well-defined pattern. For example, a fan or pump driving fluid through a fixed duct, pipe or loop, or a network of them, will have a well-defined torque/speed curve. Any significant deviation from the normal curve indicates a change that might represent a problem. Some examples are:
Low torque:
- Broken drive belt or other coupling
- Loss of fluid in pump
- Obstruction to flow; e.g. — blocked filter or screen for an impeller-type pump or fan, could apply also to conveyor, etc.
- Build-up of deposits on fan or pump rotor
- Cavitation in a pump due to air ingress, swirl or other faults (also causes pulsations; see below)
High torque:
- Seizure of rotor or other parts (partial or total)
- Obstruction to flow (positive displacement-type pump)
- Major leakage (impeller-type pump or fan)
A torque/speed profile can be established outside of which an alarm state is generated (Fig. 1).
Figure 1 The torque data needs to be subject to sufficient low-pass filtering or averaging to prevent dynamic effects (acceleration torque) or normal pulsations from generating false alarms. Other variables may have an impact, for example a variable delivery pressure of a fluid, so tolerance bands must be set wide enough to prevent false alarms from this cause.
Multi-variable correlations. In more complex processes the torque will depend on several variables, which might or might not be available to the drive. For example, consider a fan driving air through a system of ducts, some of which have damper controls to vary the local air flow. The torque/speed curve then depends on the positions of the dampers.
If data is available regarding the damper state, or the pressure drop over the dampers, then a multi-variable correlation may be possible to allow for this. Figure 2 gives a simple illustration of the case with two duct branches with dampers.
Another possibility is to use the measured torque and speed values to deduce the flow and pressure at the pump or fan from their characteristic curves, which could then be compared with a measured value from a transducer. Any discrepancy could mean either that the pump or fan is defective or the transducer is defective.
Figure 2 Expected torque for fan with two circuit dampers.
Dynamic analysis of torque. The torque data in the drive has a wide bandwidth and can in principle be used for dynamic analysis. It is quite common for the torque bandwidth to be in the order of 1 kHz or more, although it might not be possible to access and analyze the data at such a high rate — the data communications channel typically limits the data access to about a 250 µs sample interval.
The torque data relates to the electrical torque in the motor, which is transmitted to the output shaft but influenced by the inertia of the motor rotor and the effective stiffness of the motor control algorithm. These form a low-pass filter whose characteristics might not be known.
In a fully closed-loop system it is possible to deduce the transfer function and obtain accurate shaft torque data, so that for example high-frequency torque reversals can be detected. However the measurement does not need to be precisely calibrated in order for comparisons or trend analysis to be successful.
In practice pulsations with frequencies in the region of 100—500 Hz have been usefully monitored from motor electrical torque data.
Blocks of data can be captured in real time and subjected to dynamic analysis off line. Analysis may be in the time domain, for example by calculating the magnitude of fluctuations (overall torque pulsation or fluctuation, r.m.s. amplitude with or without time-averaging, peak values or peak negative values) or in the frequency domain through a Fourier transform with respect to time or some other variable such as position. This can then allow developing changes to be detected, specifically in the pattern of torque pulsation:
- Excessive torsional overall vibration amplitude, wide-band or band-limited, e.g. from broken machine parts or cavitation in pumps
- Excessive peak torques which might result in mechanical damage or premature wear
- Frequent torque reversals which can cause gear chatter resulting in premature wear or breakage
- Frequent torque reversals which can cause gear chatter resulting in premature wear or breakage
- Torsional resonances, e.g. from loose couplings, resulting in peaks in the frequency spectrum whose frequency is independent of speed although they may be enhanced at certain speeds
- Torsional pulsations, with one or more cycles per revolution, e.g. from cracked shaft, impeller or gear tooth damage or other mechanical damage, with the possibility of tracing the source in a complex machine from the frequency of the spectral peaks, the speed, and a knowledge of gearbox or other drive ratios
Dynamic analysis of torque with speed correlation In some of the examples given above it is clearly beneficial to consider the shaft speed in conjunction with the dynamic analysis of torque, because pulsations relating to the rotation of the shaft will be at the rotational frequency (once-per-revolution effects) or a multiple of it (e.g. a cracked shaft gives twice-per-revolution, impellers may be at N-per-revolution, gear teeth at N or N1/N2—per-revolution).
It can be helpful to generate compound plots of vibration spectral analysis with speed, which will clearly differentiate N-per-revolution effects from resonance effects whose frequency is fixed, but might be stimulated only in certain speed ranges. These are referred to as cascade plots or waterfall plots, and are widely offered by suppliers of vibration analysis equipment.
Caution — sampling rates and aliasing . Care is needed in systems with rapid torque pulsations. The torque data is sampled at a rate which might be restricted by the capability of the drive to store or export data at the rate it is acquired internally. The sampling frequency will produce alias errors at frequencies such as (fs—fd) where fd is the frequency content of the data and fs is the sampling frequency. To avoid generating confusing new frequency products within the region of interest, fs needs to be kept above about 3 times fd. An added benefit of cascade plots is that alias products are clearly visible, their frequency falling as the speed increases whereas with genuine effects the frequency increases or remains constant.
Artificial Intelligence Analysis
In all of the above I have concentrated on applications where a physical understanding of the process is used to define an expected behavior, and the available data is used to compare actual operation with the expectation. Even if the amplitude scaling is uncertain, the frequencies are unique and trends can be identified. The advantage of this approach is that people involved with the process can understand the data and work from the information and alarm conditions generated to develop a diagnosis for the plant.
An alternative is to use some form of machine learning algorithm to track all the available data and aim to reduce the patterns of normal and abnormal behavior. This is a subject of current research.
Conclusion
The ideas give above are general ones based on a broad picture of a machine with rotating parts, couplings and gears, or a pump or a fan. I hope that by pointing out the special access which the drive gives to some valuable data, especially the dynamic torque data, designers of machines will be able to apply these ideas to their own specific and unique applications. 
Control Techniques, a division of Nidec Motor Corporation
7078 Shady Oak Road
Eden Prairie, MN 55344-3505
Dr. Colin Hargis is chief engineer of Control Techniques.
Published with the permission of Control Techniques, a division of Nidec Motor Corporation.