Assessment of Reliability of Power Systems Under Adverse Weather Condition Using Markov System Dynamic Method

Q3 Mathematics
Fatemeh Eskandari-Kataki, M. Owlia, samrad Jafarian-Namin
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引用次数: 0

Abstract

We aim to extend the Markov System Dynamic method (MSD) to evaluate the reliability of repairable systems in two-state weather (2SW) models. Increasing the number of components in real practices has limited the use of the Markov method, because of increasing the number of equations and the complexity of the problem. There is no such restriction in the MSD method. Thus, it can be applied to complex systems. Theoretically, we indicate that the 2SW model is a type of linear dynamical system. Therefore, we can use MSD to solve it. Through an example, the validity of the proposed method is confirmed in comparison to the Markov method for the 2SW model. Since the MSD method does not use equations, it can be a preferred alternative for calculating the reliability of 2SW models. Accordingly, we apply the MSD method for assessing the reliability of a four-component system.
利用马尔可夫系统动力学方法评估恶劣天气条件下电力系统的可靠性
我们旨在扩展马尔可夫系统动态法(MSD),以评估双态天气(2SW)模型中可修复系统的可靠性。在实际应用中,组件数量的增加限制了马尔可夫方法的使用,因为这会增加方程的数量和问题的复杂性。MSD 方法则没有这种限制。因此,它可以应用于复杂系统。我们从理论上指出,2SW 模型是一种线性动力系统。因此,我们可以使用 MSD 来求解它。通过一个例子,我们证实了所提出的方法与马尔可夫方法相比对 2SW 模型的有效性。由于 MSD 方法不使用方程,因此可以作为计算 2SW 模型可靠性的首选方法。因此,我们将 MSD 方法用于评估四组件系统的可靠性。
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来源期刊
Stochastics and Quality Control
Stochastics and Quality Control Mathematics-Discrete Mathematics and Combinatorics
CiteScore
1.10
自引率
0.00%
发文量
12
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