Diagnosis of an Alternator System Using Quantized Approaches
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Published
Nov 3, 2020
Sara Mohon
Pierluigi Pisu
Abstract
In this paper, the Generalized Cell Mapping (GCM) method for a linear system is compared with a new stochastic method for novel cell-to-cell mapping. The authors presented the new stochastic method in Mohon and Pisu (2013). The two methods are compared in an application example of a vehicle alternator. The alternator may experience three faults including belt slippage, a faulty diode connection, or incorrect controller reference voltage. Fault detection and isolation (FDI) is performed using the two cell-to-cell mapping methods. The results show that the new stochastic method is slower but yields better isolation results than the GCM method.
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Keywords
Diagnosis and fault isolation methods
References
Chiu, H. M. & Hsu, C. S. (1986). A Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part II: Examples of Application. ASME Journal of Applied Mechanics. September Vol. 53. pp. 702-710. Doi: 10.1115/1.3171834
Hashemi, A., & Pisu, P. (2011a). Adaptive Threshold-based Fault Detection and Isolation for Automotive Electrical Systems (pp. 1013-1018), World Congress on Intelligent Control and Automation. June 21-25, Taipei, Taiwan. doi: 10.1109/WCICA.2011.5970668
Hashemi, A., & Pisu, P. (2011b). Fault Diagnosis in Automotive Alternator System Utilizing Adaptive Threshold Method. Annual Conference of Prognostics and Health Management Society. September 25-29, Montreal, Canada.
Hashemi, A., (2011). Model-Based System Fault Diagnosis Utilizing Adaptive Threshold with Application to Automotive Electrical Systems. Masters dissertation. Clemson University, Clemson, South Carolina, USA. http://etd.lib.clemson.edu/documents/1314212419/Hashemi_clemson_0050M_11327.pdf
Hsu, C. S. (1980). A Theory of Cell-to-Cell Mapping Dynamical Systems. ASME Journal of Applied Mechanics. December Vol. 47. pp. 931-939. Doi:10.1115/1.3153816
Hsu, C. S. & Guttalu, R. S. (1980). An Unravelling Algorithm for Global Analysis of Dynamical Systems: An Application to Cell-to-Cell Mappings. ASME Journal of Applied Mechanics. December Vol. 47. pp. 940-948. Doi: 10.1115/1.3153817
Hsu, C. S. (1981). A Generalized Theory of Cell-to-Cell Mapping for Nonlinear Dynamical Systems. ASME Journal of Applied Mechanics. September Vol. 48. pp. 634-642. Doi: 10.1115/1.3157686
Hsu, C. S. (1982). A Probabilistic Theory of Nonlinear Dynamical Systems Based on the Cell State Space Concept. ASME Journal of Applied Mechanics. December Vol. 49. pp. 895-902. Doi: 10.1115/1.3162633
Hsu, C. S. & Chiu, H. M. (1986). A Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part I: The Method of Analysis. ASME Journal of Applied Mechanics. September Vol. 53. pp. 695-701. Doi: 10.1115/1.3171833
Hsu, C. S., John F., Marsden, J. E., & Sirovich, L. (Eds.). (1987). Cell-to-Cell Mapping: A Method for Global Analysis for Nonlinear Systems. New York: Springer.
Kastner, M. (2010). Monte Carlo Methods in Statistical Physics: Mathematical Foundations and Strategies. Communications in Nonlinear Science and Numerical Simulation. June Vol. 15. pp. 1589-1602. Doi: 10.1016/j.cnsns.2009.06.011
Mohon, S., & Pisu, P. (2013). A Stochastic Modeling Approach of Quantized Systems with Application to Fault Detection and Isolation of an Automotive Electrical Power Generation Storage System. Annual Conference of the Prognostics and Health Management Society, October 14-17, New Orleans, Louisiana.
Scacchioli, A., Rizzoni, G., Salman, M. A., Li, W., Onori, S., and Zhang, X. (2013). Model-based Diagnosis of an Automotive Electric Power Generation and Storage System, IEEE Transactions on Systems, Man and Cybernetics, vol. 44, no. 1, pp. 72–85.
Scacchioli, A., Rizzoni, G., & Pisu, P., (2006). Model-Based Fault Detection and Isolation in Automotive Electrical Systems, ASME International Mechanical Engineering Congress and Exposition (pp. 315-324), November 5-10, Chicago, Illinois, USA. doi: 10.1115/IMECE2006-14504
Schröder, J. (2003). Modelling, State Observation and Diagnosis of Quantised Systems. Germany: Springer.
Sobol, I. (1994). A Primer for the Monte Carlo Method. Boca Raton: CRC Press.
Wang, J. (1999). Transition Matrix Monte Carlo Method. Proceedings of the Europhysics Conference on Computational Physics (CCP). September Vol. 121. pp. 22-25. Doi: 10.1016/S0010-4655(99)00270-2
Zhang, X., Uliyar, H., Farfan-Ramos, L., Zhang, Y., & Salman, M. (2010). Fault Diagnosis of Automotive Electric Power Generation and Storage Systems. IEEE International Conference on Control Applications. pp. 719-724, September 8-10, Yokohama, Japan.
Hashemi, A., & Pisu, P. (2011a). Adaptive Threshold-based Fault Detection and Isolation for Automotive Electrical Systems (pp. 1013-1018), World Congress on Intelligent Control and Automation. June 21-25, Taipei, Taiwan. doi: 10.1109/WCICA.2011.5970668
Hashemi, A., & Pisu, P. (2011b). Fault Diagnosis in Automotive Alternator System Utilizing Adaptive Threshold Method. Annual Conference of Prognostics and Health Management Society. September 25-29, Montreal, Canada.
Hashemi, A., (2011). Model-Based System Fault Diagnosis Utilizing Adaptive Threshold with Application to Automotive Electrical Systems. Masters dissertation. Clemson University, Clemson, South Carolina, USA. http://etd.lib.clemson.edu/documents/1314212419/Hashemi_clemson_0050M_11327.pdf
Hsu, C. S. (1980). A Theory of Cell-to-Cell Mapping Dynamical Systems. ASME Journal of Applied Mechanics. December Vol. 47. pp. 931-939. Doi:10.1115/1.3153816
Hsu, C. S. & Guttalu, R. S. (1980). An Unravelling Algorithm for Global Analysis of Dynamical Systems: An Application to Cell-to-Cell Mappings. ASME Journal of Applied Mechanics. December Vol. 47. pp. 940-948. Doi: 10.1115/1.3153817
Hsu, C. S. (1981). A Generalized Theory of Cell-to-Cell Mapping for Nonlinear Dynamical Systems. ASME Journal of Applied Mechanics. September Vol. 48. pp. 634-642. Doi: 10.1115/1.3157686
Hsu, C. S. (1982). A Probabilistic Theory of Nonlinear Dynamical Systems Based on the Cell State Space Concept. ASME Journal of Applied Mechanics. December Vol. 49. pp. 895-902. Doi: 10.1115/1.3162633
Hsu, C. S. & Chiu, H. M. (1986). A Cell Mapping Method for Nonlinear Deterministic and Stochastic Systems—Part I: The Method of Analysis. ASME Journal of Applied Mechanics. September Vol. 53. pp. 695-701. Doi: 10.1115/1.3171833
Hsu, C. S., John F., Marsden, J. E., & Sirovich, L. (Eds.). (1987). Cell-to-Cell Mapping: A Method for Global Analysis for Nonlinear Systems. New York: Springer.
Kastner, M. (2010). Monte Carlo Methods in Statistical Physics: Mathematical Foundations and Strategies. Communications in Nonlinear Science and Numerical Simulation. June Vol. 15. pp. 1589-1602. Doi: 10.1016/j.cnsns.2009.06.011
Mohon, S., & Pisu, P. (2013). A Stochastic Modeling Approach of Quantized Systems with Application to Fault Detection and Isolation of an Automotive Electrical Power Generation Storage System. Annual Conference of the Prognostics and Health Management Society, October 14-17, New Orleans, Louisiana.
Scacchioli, A., Rizzoni, G., Salman, M. A., Li, W., Onori, S., and Zhang, X. (2013). Model-based Diagnosis of an Automotive Electric Power Generation and Storage System, IEEE Transactions on Systems, Man and Cybernetics, vol. 44, no. 1, pp. 72–85.
Scacchioli, A., Rizzoni, G., & Pisu, P., (2006). Model-Based Fault Detection and Isolation in Automotive Electrical Systems, ASME International Mechanical Engineering Congress and Exposition (pp. 315-324), November 5-10, Chicago, Illinois, USA. doi: 10.1115/IMECE2006-14504
Schröder, J. (2003). Modelling, State Observation and Diagnosis of Quantised Systems. Germany: Springer.
Sobol, I. (1994). A Primer for the Monte Carlo Method. Boca Raton: CRC Press.
Wang, J. (1999). Transition Matrix Monte Carlo Method. Proceedings of the Europhysics Conference on Computational Physics (CCP). September Vol. 121. pp. 22-25. Doi: 10.1016/S0010-4655(99)00270-2
Zhang, X., Uliyar, H., Farfan-Ramos, L., Zhang, Y., & Salman, M. (2010). Fault Diagnosis of Automotive Electric Power Generation and Storage Systems. IEEE International Conference on Control Applications. pp. 719-724, September 8-10, Yokohama, Japan.
Section
Technical Papers