Introduction to Fault Diagnosis
The overview, concepts, development, concerns & schemes
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Domain |
Explanation |
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Fault |
- Based on Frank's 1994 paper,
- A fault is understood as any kind of malfunction in an actual dynamic system that leads to an unacceptable anomaly (abnormal operating condition) in the overall system performance
- Hence, a fault can be a failure of any form, in any component & within any system
- Two types of faults (Collins et al 2000):
- Hard failure: abrupt fault with completely cease functioning
- Soft failure: small or incipient fault whist still working, but not functioning properly - eg. <100% of true output, corruption, fluctuations
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Fault diagnosis |
- Just as doctors diagnose patients for signs & symptoms of ailments
- Fault diagnosis seeks to find faults (detection) & identify the sources of these faults (isolation)
- Hence, fault diagnosis is also called fault detection & isolation (FDI)
- FDI encompasses the two domains:
- Theory: algorithms for
- Signal processing techniques
- Logical switching functions
- Applications:
- Plan of maintenance: repair & replace before faults occur
- Monitoring: of system (plant) to detect faults ASAP & isolate them for control & maintenance
- The plant has the following:
- Structure: the framework of all in-house processes
- Sensors: for detection
- Actuators: detection & compensation
- Compensation can require system reconfiguration in order to continue operations with the new plant
- FDI started with the sensor components, but has now expanded into all plant components
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Fault tolerance |
- As any system can reasonably expect faults to occur, a good system should be able to withstand certain faults to certain degree
- Hence, the system should be fault-tolerant
- Take for example, a vehicle would be always be equipped with a spare tyre in case of puncture (that is, if only one gets blown)
- That spare tyre is redundant, but acts as a form of fault-tolerant measure against the fault of a puncture
- In R&D, making use of redundancy, fault tolerance consists of:
- Hardware redundancy: traditional approach; extra similar equipment or system components in excess of the minimum required for normal operations; takes over in fault; disadvantages of higher costs, software, equipment space
- Functional redundancy: modern model-based approach; extra dissimilar equipment or components; uses sophisticated comparisons & FDI schemes; robustness required
- Hardware redundancy involves:
- Configuration in case of faults to use spare parts & drop faulty ones
- The outputs of the similar parts need to be compared, filtered & by majority vote of similar sensors detect faults
- Enable separate FDI for plant components (slower dynamics) & sensor components (parametric, faster dynamics)
- Functional redundancy involves:
- Dissimilar sensors & components: that work differently but share the same function within the overall system
- Since only function is shared, majority vote techniques not work, hence sophisticated comparison required - FDI schemes
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FDI |
- FDI based on known or assumed plant dynamics
- FDI based on online identification schemes
- The objectives are to robustly generate signals for:
- Fault detection: eg. using instrument fault detection (IFD)
- Identify
faulty component: difficult under feedback conditions as other channels are affected by single faulty component
- To meet these objectives, we need to criteria to gauge the effectiveness of FDI schemes
- Initialise with a list of target faults (fault types) for FDI
- The 5 criteria required for successful FDI are as follows:
- Promptness: speed
- Sensitivity: to target faults & insensitive (robust) to all others (eg. other non-target faults, disturbances, noises & uncertainties)
- False alarm: reduced triggering under non-target faults
- Missed detection: reduced detection of target faults - use of thresholds & decisions (for diagnosis, observation & redundancy)
- Incorrect fault identification: wrong identification of target faulty component, resulting in faulty compensation
- It has been consistently emphasized of the critical necessity of robustness against uncertainties:
- Unmodelled non-linearities
- Uncertain dynamics
- Disturbances & noises
- Approaches for robustness:
- UIOS: eigenstructure assignment using IFD contained in uncertain disturbance distribution à disturbance decoupling à linearity required
- Model-based using knowledge base of fault types:
- Generating hypothesis: reasoning
- Testing: evaluating hypothesis for truth à approaches like robust filter & SPRT
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Disciplines involved |
- System identification techniques
- Hypothesis: statistics
- Robust estimation & control
- Optimisation
- Decision logic
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Links |
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Excerpts from "Fault Diagnosis" by Patten, Frank & Crank TJ213Fau
Frank Paul M. & Ding Xianchun, "Frequency Domain Approach to Optimally Robust Residual Generation & Evaluation for Model-based Fault Diagnosis", Automatica, Vol. 30, No. 5, 1994, pp. 789-804
Collins Emmanuel G. Jr, Song Tinglun, "Robust Hinf estimation & fault detection of uncertain dynamic systems", Journal of Guidance, Control & Dynamics, Vol. 23, No. 5, 2000, pp. 857-864