Journal of Mechanics of Continua and Mathematical Sciences

Power transformers play an important role in the efficient delivery of power to consumers. Their failure leads to significantly higher losses and maintenance costs. Therefore, it is essential to have an optimal maintenance strategy in place for the transformers. However, to design an effective maintenance strategy, real failure data of the transformers need to be collected and studied to identify the failure patterns. To facilitate the analysis presented in this paper, five years of real failure data of a transformer system is collected from a power distribution company. The best-fit distribution for the failure times data of the system is found using AIC, BIC, and LKV values. Useful reliability parameters of the system are evaluated using the Maximum Likelihood Estimation and Rank Regression Method. Life data analysis is performed to estimate the reliable life, mean time to failure, and remaining lifetime of the entire system and its subsystems.

Nabila Al Balushi

Waleed Al Khairi

S. M. Rizwan

S Z Taj

JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES

ESTIMATION OF RELIABILITY PARAMETERS FOR POWER TRANSFORMERS

电力变压器可靠性参数的估计

The proliferation of non-expensive commercially available renewable energy systems along with the regular interruption of electrical energy from local power producers has resulted in more DIY (do-it-yourself) enthusiasts. Many of these enthusiasts are from the lower to middle-income classes and thus seek to empower themselves to purchase and install a basic off-grid renewable energy system. It's crucial to emphasize the significance of acquiring a wiring certificate for the electrical setup. National standards, quality management, and human lives are all at risk, so this step cannot be overlooked. However, several components need to be connected in the most efficient and effective way, thereby promoting safety and efficiency. The purpose of this study is to evaluate different electrical connections between two of the main components, the battery (storage device) and the solar charger (or an inverter) to enable an informed decision regarding the optimal type of connection. An experimental setup is used to gather empirical data for seven different electrical connections. The worst type of connection is a solid 1,5 mm cable with battery clamps (or clips) that results in a higher voltage drop of 0,42 V when compared to the ideal type of connection that is a solid 2,5 mm cable with unsoldered crimped lugs. It is recommended that every DIY enthusiast working with electrical connections purchase a non-expensive crimping tool to effectively connect lugs to the correct wire diameter required for their application.

P. E. Hertzog

EFFECTIVELY CONNECTING BATTERIES TO ENERGY SYSTEMS FOR THE DIY ENTHUSIAST

为DIY爱好者有效连接电池与能源系统

COVID-19 infection is particularly dangerous for individuals with comorbidities such as kidney disease and diabetes due to weakened immunity. While the pandemic has impacted people of all ages and socioeconomic backgrounds, those with underlying medical conditions are more susceptible to severe outcomes. However, the role of vaccination in the co-infection dynamics of COVID-19 among diabetic patients is not well-represented in the literature. This study examines the unique challenges presented by the co-infection of COVID-19 in individuals with diabetes, focusing on disease transmission dynamics. We employ a mathematical modeling approach using a seven-compartment model that incorporates vaccination and comorbidities like diabetes to analyze the dynamics of COVID-19 outbreaks. Analytical investigations were conducted to demonstrate the solutions' existence, boundedness, positivity, and sensitivity. After calculating the basic reproduction number, we performed a stability analysis of the model's equilibrium points. Our findings indicate that when the reproduction number is less than unity, the disease-free equilibrium is both locally and globally stable. Furthermore, as the vaccination rate increases, the incidence of COVID-19 and its co-infections with diabetes decreases. These results suggest that effective disease treatment strategies should consider the potential impact of vaccination on the co-infection of COVID-19 in diabetic patients.

Md. Abdul Hye

Md.Haider Ali Biswas

Mohammed Forhad Uddin

ROLE OF VACCINATION ON THE CO-INFECTION MODEL WITH COVID-19 ASSOCIATED WITH DIABETES

疫苗在COVID-19与糖尿病共感染模型中的作用

Life tables are used in many fields in demographic and health research They represent an important indicator of death in society. There are two types of life tables; complete life tables are based on the age at death based on single-age categories and are obtained using a comprehensive survey method. The second type is the abbreviated life tables which are based on the age at death of five-year age groups and are obtained by the sample survey method. In this research, the survival function was estimated for the data obtained from the Central Statistical Organization, social and Economic Survey of the Family in Iraq (IHSES II) using parametric methods (the principle of Maximizing Entropy method (POME), and maximum likelihood method (MLE)), as well as the use of A non-parametric approach, the kernel smoothing method (KS), the compared between the estimation methods using (RMSE) and (MAPE). One of the most important conclusions was the emergence of a preference for the (POME) method for the five-age groups, but in the case of the single-age groups, the (KS) method is the best.

Hasanain Jalil Neamah Alsaedi

ESTIMATION OF ONE-AND-FIVE DIMENSIONAL SURVIVAL FUNCTIONS FOR CATEGORICAL DATA USING ENTROPY

使用熵估计分类数据的一维和五维生存函数

Partial differential equations are essential to every branch of science and engineering. They are regarded as the fundamental components of the majority of mathematical and physical simulations with practical uses. Numerous partial differential equations may be useful in the description of a physical phenomenon that could help in a deeper comprehension of its behaviour. The importance of PDEs has drawn more attention in recent years, which motivates researchers to solve these equations analytically and numerically. In this study, we propose a new hybrid technique for solving partial differential equations arising during liquid drop formations. The proposed hybrid technique is the combustion of double Elzaki transform and the classical Adomian decomposition method. To illustrate the simplicity and accuracy of the proposed scheme, some experimental work has been carried out.

Inderdeep Singh

Parvinder Kaur

DOUBLE ELZAKI DECOMPOSITION METHOD FOR SOLVING PDES ARISING DURING LIQUID DROP FORMATIONS

双重ELZAKI分解法用于求解液体滴形成过程中的偏微分方程

Publication Information	Publisher: Institute of Mechanics of Continua and Mathematical Sciences，Publishing cycle: ，Journal Type: journal，Open Access Journals: Yes
Basic data	Year of publication: 2023，Proportion of original research papers: ，Self Citation Rate:， Gold OA Rate:
Journal Fees	$125Details
Average review cycle	8 weeks

Journal of Mechanics of Continua and Mathematical Sciences

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ESTIMATION OF RELIABILITY PARAMETERS FOR POWER TRANSFORMERS

EFFECTIVELY CONNECTING BATTERIES TO ENERGY SYSTEMS FOR THE DIY ENTHUSIAST

ROLE OF VACCINATION ON THE CO-INFECTION MODEL WITH COVID-19 ASSOCIATED WITH DIABETES

ESTIMATION OF ONE-AND-FIVE DIMENSIONAL SURVIVAL FUNCTIONS FOR CATEGORICAL DATA USING ENTROPY

DOUBLE ELZAKI DECOMPOSITION METHOD FOR SOLVING PDES ARISING DURING LIQUID DROP FORMATIONS

ESTIMATION OF RELIABILITY PARAMETERS FOR POWER TRANSFORMERS

EFFECTIVELY CONNECTING BATTERIES TO ENERGY SYSTEMS FOR THE DIY ENTHUSIAST

ROLE OF VACCINATION ON THE CO-INFECTION MODEL WITH COVID-19 ASSOCIATED WITH DIABETES

ESTIMATION OF ONE-AND-FIVE DIMENSIONAL SURVIVAL FUNCTIONS FOR CATEGORICAL DATA USING ENTROPY

DOUBLE ELZAKI DECOMPOSITION METHOD FOR SOLVING PDES ARISING DURING LIQUID DROP FORMATIONS