The effect of transformer parameters on reliability assessment with the help of health index

2019 ◽  
Vol 36 (6) ◽  
pp. 895-916
Author(s):  
Neelam Chantola ◽  
S.B. Singh
Keyword(s):  
Dissipation Factor ◽  
Degree Of Polymerization ◽  
Time To Failure ◽  
Supplementary Variable ◽  
Health Index ◽  
Variable Technique ◽  
Content Type ◽  
Supplementary Variable Technique ◽  
Insulating Oil ◽  
Reliability Characteristics

Purpose The purpose of this paper is to study various reliability measures like reliability, mean time to failure (MTTF) and sensitivity of transformer including different parameters of insulating oil/paper as health index. Design/methodology/approach The reliability characteristics of transformer incorporating different parameters of insulating oil as well as paper have been evaluated using Markov process incorporating Gumbel–Hougaard copula, Laplace transforms and supplementary variable technique. The parameters taken into consideration are breakdown voltage (BDV) and moisture content (MC) of both insulating oil and paper, and other parameters considered are interfacial tension (IFT), dissipation factor (DF), degree of polymerization (DOP) and furanic content (FC) for insulating oil and paper, respectively. By probability consideration and continuity influence, difference-differential equations have been obtained for the considered model. Findings Transition state probabilities, reliability, MTTF and sensitivity of the transformer corresponding to different parameters of insulating oil and paper have been evaluated with the help of aforementioned technique. Variations of reliability with respect to time along with the variations of MTTF and sensitivity have also been examined. Remarkable points during the study have also been pointed out. Originality/value Reliability characteristics of the transformer have been evaluated including two parameters: insulating oil and paper with the help of supplementary variable technique, considering two different types of repairs incorporating Gumbel–Hougaard family of copula unlike done earlier. Reliability, MTTF and sensitivity of transformer have been analyzed considering the parameters: BDV, MC, IFT and FC of insulating oil, and BDV, MC, DOP, DF of insulating paper.

Queuing Scheme with Feedback Service and Discretionary Administration

2019 ◽  
Vol 9 (1S4) ◽  
pp. 706-710 ◽  
Keyword(s):  
Generating Function ◽  
Average Length ◽  
Probability Generating Function ◽  
Function Approach ◽  
Single Server ◽  
Queue Size ◽  
Supplementary Variable ◽  
Variable Technique ◽  
Supplementary Variable Technique ◽  
Central Organization

This article take a gander at a bunch area single server channel Queuing system, where the server gives two sorts of organizations viz., beginning one a central organization and the optional organization is permitted as a second organization. In case in need, the customer settle on the optional organization .We other than anticipate that after the execution of the second time of affiliation, if the structure is unfilled, the server takes a required get-away of general dissemination. Organization thwarts in the midst of principal organization at random. Additionally if the customer isn't satisfied with the primary central organization, an info advantage for the proportionate is given to make a worthy space for the customers in the system. For the above delineated covering issue, the supplementary variable technique and generating function approach are used to derive the probability generating function of the queue size and the average length of the queue.

Stochastic modelling of a wind electric generating power plant

2017 ◽  
Vol 34 (1) ◽  
pp. 103-127 ◽  
Author(s):  
Nupur Goyal ◽  
Mangey Ram
Keyword(s):  
Power Plant ◽  
Wind Power ◽  
Stochastic Modelling ◽  
Fault Coverage ◽  
Wind Power Plant ◽  
Time To Failure ◽  
Content Type ◽  
Reliability Characteristics ◽  
Repair Facility ◽  
Component Failures

Purpose The purpose of this paper is to analyse the performance of a wind electric generating power plant through the study of reliability measures. The enhancement of the performance of the wind power plant using various approaches is also an objective of this paper. Design/methodology/approach This paper describes two models of a wind electric generating power plant using the Markov process and supplementary variable technique and solved with the help of Laplace transformation. The first model has been analyzed without fault coverage and Gumbel-Hougaard family of copula, while the second model of the wind power plant employs fault coverage and Gumbel-Hougaard family of copula which are used to enhance the performance. The proposed methodology is then illustrated in detail considering numerical examples. Findings Numerous reliability characteristics such as availability, reliability and mean time to failure to examine the performance of the wind power plant have been investigated. Through the comparative study of both the models, the authors concluded that the plant can generate electricity over long periods of time by covering more and more detected faults, which is made possible with two types of repair facility. Originality/value In this work, the authors have developed a mathematical model based on a wind electric generating power plant. This work incorporates not only the component failures that stop or degrade the working of the plant but also deals with the catastrophic and repair strategy of the plant.

scholarly journals Feller Property for a Special Hybrid Jump-Diffusion Model

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Jinying Tong
Keyword(s):  
Diffusion Model ◽  
Stochastic Stability ◽  
Jump Diffusion ◽  
Markovian Process ◽  
Supplementary Variable ◽  
Variable Technique ◽  
Feller Property ◽  
Supplementary Variable Technique ◽  
Jump Diffusion Model ◽  
Strong Feller

We consider the stochastic stability for a hybrid jump-diffusion model, where the switching here is a phase semi-Markovian process. We first transform the process into a corresponding jump-diffusion with Markovian switching by the supplementary variable technique. Then we prove the Feller and strong Feller properties of the model under some assumptions.

SUPPLEMENTARY VARIABLE TECHNIQUE IN STOCHASTIC MODELS

2000 ◽  
Vol 14 (2) ◽  
pp. 203-218 ◽  
Author(s):  
Attahiru Sule Alfa ◽  
T. S. S. Srinivasa Rao
Keyword(s):  
Stochastic Models ◽  
Queueing Systems ◽  
Supplementary Variable ◽  
Kolmogorov Equations ◽  
Variable Technique ◽  
Supplementary Variable Technique ◽  
Supplementary Variables ◽  
Remaining Time

In this article, we formalize the framework for the supplementary variable technique in stochastic models. Specifically, we show that the use of remaining or elapsed times (or any metric) as supplementary variables leads to the notion of forward or backward Chapman–Kolmogorov equations, respectively. We further show that for a class of queueing systems, using remaining time as the supplementary variable makes analysis simpler.

scholarly journals Stochastic Biometric System Modelling with Rework Strategy

2016 ◽  
Vol 1 (1) ◽  
pp. 1-17 ◽  
Author(s):  
Mangey Ram ◽  
Monika Manglik
Keyword(s):  
Liquid Crystal Display ◽  
System Modelling ◽  
Time To Failure ◽  
Supplementary Variable ◽  
Biometric System ◽  
Variable Technique ◽  
Efficient System ◽  
Whole Process ◽  
Long Time ◽  
Mean Time

In this paper, the authors proposed the reliability mathematical modeling of a biometric system that computerizes the whole process of taking attendance and keeping its records in an academic institute. Manually taking attendance and sustaining it for a long time is very difficult as well as wastes a lot of time. For this cause, an efficient system has to be designed. This system takes attendance electronically with the help of a fingerprint scanner, and all the records are saved on a computer server. In order to mark the attendance, student or employee has to place his/her finger on the fingerprint sensor. On proof of identity student’s or employee’s record is well-run in the database, and he/she is reported through liquid-crystal display screens. Here, the authors evaluated reliability measures of the system such as availability, reliability, mean time to failure (MTTF), cost analysis and sensitivity analysis with the help of Laplace transformation, supplementary variable technique, and Markov technique.

Improving Industrial Systems Reliability — An Application in Sugar Industry

2019 ◽  
Vol 04 (04) ◽  
pp. 1950011 ◽  
Author(s):  
Ramesh Kumar ◽  
M. S. Kadyan
Keyword(s):  
Performance Analysis ◽  
Sugar Industry ◽  
The State ◽  
System Model ◽  
Supplementary Variable ◽  
Variable Technique ◽  
Industrial Systems ◽  
Supplementary Variable Technique ◽  
Main Requirement ◽  
In Series

To improve the reliability of the industrial systems, the main requirement is to identify the most expected failures and to minimize the effects of such failures. This can be achieved through availability evaluation of the systems of the industry. Here, the performance analysis of molasses (by-product of sugarcane) making system is carried out. The system consists of four subsystems, namely: Crystallizer, C-fore worker, C-after Worker and Melter. Functioning of these subsystems is in series and within subsystems have different working configurations. Equations associated with the system model are developed and solved to get the state probabilities by using supplementary variable technique. A particular case is also considered to show the availability and expected behavior of the molasses making system. Numerical results are obtained to explain the effect of subsystems working behavior.

Performance Analysis and Maintenance Planning of Evaporation System in the Sugar Industry by Using Supplementary Variable Technique

2018 ◽  
Vol 03 (01) ◽  
pp. 1850004 ◽  
Author(s):  
Ramesh Kumar ◽  
M. S. Kadyan
Keyword(s):  
Time Distribution ◽  
Failure Time ◽  
Sugar Industry ◽  
Maintenance Planning ◽  
Supplementary Variable ◽  
Variable Technique ◽  
Failure Time Distribution ◽  
Supplementary Variable Technique ◽  
Profit Analysis ◽  
In Series

In this paper, a reliability model for evaporation system in sugar industry is developed to accomplish performance evolution. This system consists of three subsystems, namely evaporator, syrup sulphitor and sulphited syrup. These subsystems are working in series. Failure time distribution of subsystems is exponential, whereas repair time distribution of subsystems is arbitrary. The differential difference equations associated with state changeover model of the system are developed by using supplementary variable technique and solved to get state probabilities of the system model. The results for some measures (availability and profit) of system performance are obtained in steady state. A particular case is also considered to show the behavior of availability and profit analysis of the evaporation system.

Sign in / Sign up

Export Citation Format

Share Document