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Proceedings of SerbiaTrib '13

Proceedings of SerbiaTrib '13

Proceedings of SerbiaTrib '13

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values influence <strong>of</strong> themeasurement noise (fromlower to higher)ISO 4406 class <strong>of</strong> oil contamination ISO 4406 class <strong>of</strong> oil contaminationISO 4406 class <strong>of</strong> oil contaminationnumber <strong>of</strong> cyclesnumber <strong>of</strong> cyclesnumber <strong>of</strong> cyclesFigure 3. Kalman filter prognostic with step-changee incontamination for different values <strong>of</strong> measurement noise4. CONCLUSIONBased on shownresults some generalconclusionss about process <strong>of</strong> prognostic using theKalman filter could be defined: Theexamples <strong>of</strong> practicall applicationn <strong>of</strong>prognostic using Kalman filter obtainedverygood results in tracking <strong>of</strong> realmeasured values with acceptable projectionerror in case <strong>of</strong>measured diagrams withoutsuddenand significant changes <strong>of</strong>contamination value. The biggest mistakee <strong>of</strong> projection, as a rule,is rightt at the beginning at first projectedpoint. Variations in the values <strong>of</strong> the measuredsignal and a noise measurement have a directimpact on the accuracy <strong>of</strong> the prognostic. The influence <strong>of</strong> the measurement noise onthe result <strong>of</strong> the projection canbe adjusteddusing the t definition <strong>of</strong> the value <strong>of</strong> thecorresponding parameter in the t Kalmanfilter equations. Increasing the value <strong>of</strong> thisparameter indicatess the presence <strong>of</strong> moreintensive measuringg noise and vice versa. In the case c <strong>of</strong> a sharp and abrupt prognosticusing a Kalman filter have visible and theexpected delay in the response to change. Itis clear that there is no method <strong>of</strong>forecasting,which can predicttheoccurrence <strong>of</strong> sudden, unexpected andabrupt changes in the values followed bythe diagnostic parameter. In anycase, theseephenomenapoint to theserioussirregularities and problems in the systemand certainly represent an alarmsignal. The great advantage <strong>of</strong> using Kalman filterlies in its fullindependenceandinsensitivity to the shape and characteristicss<strong>of</strong> the measured m contaminationtrend charts.ACKNOWLEDGMENTResearch presented in this paper was supportedby the Ministry <strong>of</strong> Education, Science andTechnological DevelopmenDnt <strong>of</strong> Republic <strong>of</strong> Serbia,Grant 35021REFERENCES[1] A. Muller, M.C. M Suhner, B. Iung: Formalisation <strong>of</strong> anew prognosis model for supporting proactivemaintenancee implementation on industrial system, ,Reliability Engineering & System Safety 93,pp. 234-253, , 2008.[2] J. Lee, J. Ni, N D. Djurdjanovic, H. Qiu, H. Liao:Intelligent prognostic ptools and e-maintenance,Computers in Industry 57, , pp. 476-489, 2006.[3] R.E. Kalman: A New Approach to Linear Filteringand PredictionProblems,Journal <strong>of</strong> BasicEngineering 82 (Series D) ), pp. 35-45., 1960.[4] D. Simon: Kalman Filtering, Embedded SystemssProgramming, 2001.[5] G. Welch, G. Bishop: An Introduction to theKalman Filter, Department <strong>of</strong> Computer ScienceeUniversity <strong>of</strong> North Carolina13 th International Conference on Tribology – Serbiatrib’13387

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