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The reliability of the electrical distribution system is a contemporary research field due to diverse applications of electricity in everyday life and diverse industries. However a few research papers exist in literature. This paper proposes a methodology for assessing the reliability of 33/11 Kilovolt high-power stations based on average time betw...
Citations
... In a study [9] revealed after the study of 23 countries' income data, the Dagum distribution is the best among the two and three parameter distributions. Also, Alwan et al tried more than fifty distributions to model the reliability of the electrical distribution system and finally the Dagum distribution was considered as the best choice [10]. We have cited very few studies but various other related studies also confirm the better performance of the Dagum distribution. ...
... The pdf of the dagum (parent) distribution as shown by [10] is ...
... Maintenance cost of modern production systems occupies a large proportion of the entire cost cycle [1][2][3]. Therefore, the importance of maintenance management is also gradually highlighted. ...
Due to the complexity of large production systems, maintenance events are diverse, simultaneous and dynamic. Appropriate maintenance management of complex large production systems can guarantee high availability and save maintenance costs. However, current maintenance decision-making methods mainly focus on the maintenance events of single-components and series connection multi-components; little research pays attention to the combination maintenance of different maintenance events. Therefore, this paper proposes a multi-event combination maintenance model based on event correlation. First, the maintenance downtime and cost of three types of maintenance events under different maintenance beginning times and degrees are analysed. Then, shared maintenance downtime and cost models are established by maintenance event correlations. In addition, a multi-event combination maintenance model is constructed to achieve the goal of the highest availability and the lowest cost rate in both the decision-making cycle and the remaining life. Moreover, a particle swarm optimization algorithm based on interval segmentation for model solving is designed. Finally, a numerical example is presented to illustrate the model.
... However, the Dagum type I distribution has received more attention because the distribution has monotonically decreasing, upside-down bathtub, bathtub and then upside-down bathtub hazard rate for different values of parameters which led several authors to study the distribution in different fields Domma et al. [9,11], Benjamin et al. [4]. Monroy et al. [16] used it for modeling tropospheric Ozone levels and Alwan et al. [2] worked with the Dagum distribution for assessing the reliability of an electrical system and for describing diameter in teak stands subjected to thinning at different ages. Different properties, characteristics and parameter estimation of Dagum distribution were studied by Kleiber and Kotz [15], Kleiber [14], Domma et al. [8,10], Khan [13]. ...
... . Methods emerging from reliability, availability, and probabilistic risk assessment evaluate reliability and availability of electrical distribution systems in the presence of routine failures (Zhang and Gunther 2011;Alwan, Baharum, and Hassan 2013). However, such analyses are not appropriate for deliberate disruptions such as cyber attacks. ...
This article describes a model-based systems engineering (MBSE) approach to cyberattack resilience modeling for an electrical power substation and demonstrates that (1) resiliency can be quantitatively characterized to enable design tradeoffs and (2) the analysis can be incorporated into a Systems Modeling Language (SysML) model to enable it to be incorporated into an MBSE development effort. The resiliency analytical model described here using the Markov model, derives from previous work on survivability analysis. For the system under analysis, it showed that the most important performance parameter for cyber resilience is propagation resistance followed by an attack rate mitigation. However, this applicability of this result is limited to this particular system with the parameter values described below. What is of more general importance is the value of such modeling, that when combined with SysML parametric analysis capability and the differential equation solvers in tools such as Matlab, has promise in improving resiliency with respect to cyber threats in the national energy.
... The electric power distribution station used in this analysis described by Faris M. Alwan, Adam Baharum, and Geehan S. Hass [3]. The IEC 61850 compatible control network is shown in Figure 1. ...
... For the purpose of this article, we make the following assumptions: Figure 1. Distribution Station IEC 61850 control network [3] 1. The primary objective of a cyberattack is to disable the intelligent relays that include integrated microprocessors and are connected to the utility operations network. ...
... Adefarati et al. (2014) carried out reliability assessment of electrical power system by using some reliability indicators. Alwan et al. (2013) proposed a methodology for assessing the reliability of 33/11 Kilovolt high-power stations based on average time between failures. Zungeru et al. (2012) evaluated the reliability of Kainji Hydro-Electric Power Station in Nigeria. ...
... Perez and Alaiz [20] analyzed the personal income data of Spain by Dagum distribution. Alwan, Baharum and Hassan [1] tried more than fifty distributions to model the reliability of the electrical distribution system and the Dagum distribution was considered as the best choice. We have cited very few studies and various other related studies also confirm the better performance of the Dagum distribution. ...
... Sample text. Citation [1]. ...
In this article, we introduce an extended Dagum distribution, named as transmuted Dagum distribution which can be used for income distribution, actuarial, survival and reliability analysis. The main motivation for generalizing the standard distribution is to provide more flexible distribution to model a variety of data. The extended distribution has been expressed using quadratic rank transmutation map and its tractable properties like moments, moment generating, quantile, reliability and hazard functions are derived. The transmuted Dagum model provides the broader range of hazard behavior than the Dagum model. The densities of its order statistics, generalized TL-moments with its special cases are also studied. The parameters of the new model are estimated by maximum likelihood using Newton-Raphson approach and the information matrix and confidence intervals are also obtained. To illustrate utility and potentiality of the proposed model, it has been applied to rainfall data for the city of Islamabad, Pakistan.
... Aslam et al. (2011) proposed grouped acceptance sampling plans for the Dagum distribution under percentile lifetimes. Binoti et al. (2012) and Alwan et al. (2013) worked with the Dagum distribution for assessing the reliability of an electrical system and for describing diameter in teak stands subjected to thinning at different ages. Kleiber and Kotz (2003), Kleiber (2008), Khan (2013), Shehzad and Asghar (2013) and Pant and Headrick (2013) discussed properties and parameter estimation of the Dagum distribution. ...
In this paper, we define a new lifetime model called the Weibull-Dagum distribution. The proposed model is based on the Weibull–G class (Bourguignon et al., 201416.
Bourguignon, M., Silva, R.B., Cordeiro, G.M. (2014). The Weibull–G family of probability distributions. Journal of Data Science 12:53–68.View all references). It can also be defined by a simple transformation of the Weibull random variable. Its density function is very flexible and can be symmetrical, left-skewed, right-skewed and reversed-J shaped. It has constant, increasing, decreasing, upside-down bathtub, bathtub and reversed-J shaped hazard rate. Various structural properties are derived including explicit expressions for the quantile function, ordinary and incomplete moments and probability weighted moments. We also provide explicit expressions for the Rényi and q-entropies. We derive the density function of the order statistics as a mixture of Dagum densities. We use maximum likelihood to estimate the model parameters and illustrate the potentiality of the new model by means of a simulation study and two applications to real data. In fact, the proposed model outperforms the beta-Dagum, McDonald-Dagum and Dagum models in these applications.
