Abstract
A reliability study on random occurrences of undesirable failures or events during the lifetime of a physical system is conducted. Fault tree analysis is a powerful technique through which the reliability and safety of power systems can be assessed and suggestions for improvement can be provided. A minimal cut set (MCS) represents the combinations of component failures that can lead to the failure of the entire system. Fault tree analysis is the process of identifying the combinations of basic events that cause the occurrence of the top event. Top event is a main event of interest, for which the logic model is constructed. As the system becomes more interconnected, the MCS form that is graphically represented by a fault tree will be difficult to establish. This paper reports on a new method to deduce MCS by following a failure path based on a fault tree to assess the reliability of power systems. This method uses the incidence matrix and logic for numerous flow paths from the power sources to the loads. The proposed matrix can be presented as input data to any computer program (or simulation). Finally, the proposed method can be applied in complicated networks. An illustration shows the details and characteristics of the proposed method.
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References
Ramakumar R (1993) Engineering reliability fundamentals and applications. By Prentice-Hall, Inc
Cepin M (2011) Assessment of power system reliability methods and applications. Springer, London Limited
Carrasco JA, Sune V (1999) An algorithm to find minimal cuts of coherent fault–trees with event-classes using a decision tree. IEEE Trans Reliab 48:31–41
Abdul Jaleel J, Sadina MF (2013) Reliability analysis using fault tree method and its prediction using neural networks. In: International Conference on Control, Communication and Computing, pp 119–124
Garribba S, Mussio P, Nalldi F, Reina G, Volta G (1977) Efficient construction of minimal cut sets from fault trees. IEEE Trans Reliab R-26(2):88–94
Allan RN, Billinton R, De Oliveira MF (1976) An efficient algorithm for deducing the minimal cuts and reliability indices of a general network configuration. IEEE Trans Reliab R-25(4):226–233
Fotuhi FM, Billinton R, Munian TS, Vinayagam B (2004) A novel approach to determine minimal tie-sets of complex network. IEEE Trans Reliab 53(1):61–70
Helal I (2007) A heuristic-based approach for enumerating the minimal path sets in a distribution network. IEEE
Awosope COA, Akinbuire TO (1990) A fixed minimal path array method of evaluating reliability indices of power systems. Electr Power Syst Res 19:167–176
Ali DM (2008) Application of minimal path set and dual fault tree approach for piecewise reliability evaluation of large-scale electrical power systems. IEEE
Paul K, Jye C (2006) Statistical reliability with applications. Springer handbook of engineering statistics, chapter, pp 49–61
Hooshmand RA, Moazzami M, Nasiri AA (2009) Power system enhancement by using powerformersTM. Serb J Electr Eng 6(2):315–331
Smith DJ (2001) Reliability maintainability and risk practical methods for engineers including reliability centred maintenance safety-related systems. 6th edn
Shiker MAK (2013) Some methods of calculating the reliability of mixed models. J Babylon Univ/Pure Appl Sci 21(3):770–773
Billinton R, Allan R (1994) Reliability evaluation of engineering systems. Concepts and Techniques. Plenum Press
Carl Nelson JR, Batts JR, Beadles RL (1970) A computer program for approximating system reliability. IEEE Trans Reliab R-19(2):61–65
Bilinton R, Allan RN (1981) Power system reliability evaluation. A residential course, University of Manchester
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Kadhem, A.A., Abdul Wahab, N.I. (2017). Minimal Cut Sets Deduction Using a Simple Method via Tracing Minimal Paths to Assess Reliability of Power Systems. In: Ibrahim, H., Iqbal, S., Teoh, S., Mustaffa, M. (eds) 9th International Conference on Robotic, Vision, Signal Processing and Power Applications. Lecture Notes in Electrical Engineering, vol 398. Springer, Singapore. https://doi.org/10.1007/978-981-10-1721-6_76
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DOI: https://doi.org/10.1007/978-981-10-1721-6_76
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