Minimal Cut Sets Deduction Using a Simple Method via Tracing Minimal Paths to Assess Reliability of Power Systems
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 su
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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. Keywords Reliability assessment path Function tree
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1 Introduction Many techniques have been developed to assess power system reliability. Some of these techniques measure the amount of energy required to satisfy a demand as a “criterion” while others measure the reliability of electrical power systems by A.A. Kadhem (✉) ⋅ N.I. Abdul Wahab Center of Advanced Power and Energy Research, Department of Electrical and Electronic Engineering, Faculty of Engineering, University Putra Malaysia, 43400 Serdang, Selangor, Malaysia e-mail: [email protected] © Springer Science+Business Media Singapore 2017 H. Ibrahim et al. (eds.), 9th International Conference on Robotic, Vision, Signal Processing and Power Applications, Lecture Notes in Electrical Engineering 398, DOI 10.1007/978-981-10-1721-6_76
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identifying the success and failure states of the components of the system. A reliability study involves random occurrences of undesirable failures or events during the lifetime of a physical system. To analyze the reliability, complex structures such as electrical power systems are divided into functional entities that include units, subsystems and components. Network modelling and data collection techniques are employed in a reliability analysis to connect the components in series, parallel, parallel–series or any connection of components [1]. Computing the reliability of power systems that are not purely in series, parallel, or series–parallel requires several general and powerful techniques. These techniques include fault tree analysis, event tree analysis, minimal cut set (MCS) minimal tie method and path tracing method among others. The applicability of these techniques to different sys
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