DHEERAJ KUMAR DHAKED, Lokesh Kumar Raman, D. Birla, Maheep Dwivedi
This manuscript discusses the identification and categorization of faults in transmission network system with fuzzy logic controller (FLC) with high-speed digital protective relay, which can be used for real-time data analysis. The FLC uses signals for the extraction of original signals for multi-resolution analysis. The proposed FLC technique detects the fault occurrence based on fault index. The stoutness of technique is demonstrated on transmission line models under different fault situations on MATLAB Simulink platform for the post-fault current of all three phases the end of line. In the projected technique, different rules have been structured for phase and ground faults. Simulation has been carried out on various faults type to test the effectiveness of the method which is used for a power station of 400 kV voltages with a 300 km long line. The extensive simulation effort has been carried out to recognize and categorize the types of faults using projected methodology with higher efficiency. This method is appropriate for high-impedance faults carried out in high-voltage line. The result obtained from Simulation led to the conclusion that the presented work is quite robust for medium and long lines.
{"title":"Identification and classification of faults using fuzzy logic controller in transmission line","authors":"DHEERAJ KUMAR DHAKED, Lokesh Kumar Raman, D. Birla, Maheep Dwivedi","doi":"10.47974/jim-1672","DOIUrl":"https://doi.org/10.47974/jim-1672","url":null,"abstract":"This manuscript discusses the identification and categorization of faults in transmission network system with fuzzy logic controller (FLC) with high-speed digital protective relay, which can be used for real-time data analysis. The FLC uses signals for the extraction of original signals for multi-resolution analysis. The proposed FLC technique detects the fault occurrence based on fault index. The stoutness of technique is demonstrated on transmission line models under different fault situations on MATLAB Simulink platform for the post-fault current of all three phases the end of line. In the projected technique, different rules have been structured for phase and ground faults. Simulation has been carried out on various faults type to test the effectiveness of the method which is used for a power station of 400 kV voltages with a 300 km long line. The extensive simulation effort has been carried out to recognize and categorize the types of faults using projected methodology with higher efficiency. This method is appropriate for high-impedance faults carried out in high-voltage line. The result obtained from Simulation led to the conclusion that the presented work is quite robust for medium and long lines.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70468801","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
D. K. Saini, Sonali Kishore Pawar, S. P. Tondare, Anuradha S. Nigade, J. Morbale, Mohit Gangwar
Embracing significant learning methods for human lead affirmation has shown suitable in taking out discriminants from the coarse information packs obtained from body-mounted sensors. But human headway is ideal coded in a movement of moderate models, the standard AI strategy is to finished certification obligations without taking advantage of the normal relationship between analysis information tests. This paper proposes the use of (DRNN) to manufacture a psychological model that can get critical distance conditions with factor-length input position. We present unidirectional, bidirectional, and comfortable models concerning DRNNs with LSTM and finding parameters using sporadic benchmark datasets. Exploratory results show that the proposed model is superior to a standard AI-based system. SVM and Nearest Neighbour Method (KNN). Moreover, In this Paper implementation smart system runs in tendency to other significant learning techniques like Deep Trust Organization (DBN) and CNN. Human Action Acknowledgment (HAR) assignments were consistently made using arranged highlights got by heuristic cycles.
{"title":"Improve QoS for multi-body sensor analytics in smart healthcare system using machine learning algorithm","authors":"D. K. Saini, Sonali Kishore Pawar, S. P. Tondare, Anuradha S. Nigade, J. Morbale, Mohit Gangwar","doi":"10.47974/jim-1670","DOIUrl":"https://doi.org/10.47974/jim-1670","url":null,"abstract":"Embracing significant learning methods for human lead affirmation has shown suitable in taking out discriminants from the coarse information packs obtained from body-mounted sensors. But human headway is ideal coded in a movement of moderate models, the standard AI strategy is to finished certification obligations without taking advantage of the normal relationship between analysis information tests. This paper proposes the use of (DRNN) to manufacture a psychological model that can get critical distance conditions with factor-length input position. We present unidirectional, bidirectional, and comfortable models concerning DRNNs with LSTM and finding parameters using sporadic benchmark datasets. Exploratory results show that the proposed model is superior to a standard AI-based system. SVM and Nearest Neighbour Method (KNN). Moreover, In this Paper implementation smart system runs in tendency to other significant learning techniques like Deep Trust Organization (DBN) and CNN. Human Action Acknowledgment (HAR) assignments were consistently made using arranged highlights got by heuristic cycles.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70469102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper aims to present and study the soft topological properties of soft Np - closure, soft Np - interior, soft Np - exterior, and soft Np - boundary of a soft set using the notion of soft Np- open and soft Np- closed sets. Also, we discuss the soft product of soft Np-open sets and give examples.
{"title":"Basic properties of soft Np-open sets","authors":"Sabiha I. Mahmood, H. J. Ali","doi":"10.47974/jim-1497","DOIUrl":"https://doi.org/10.47974/jim-1497","url":null,"abstract":"This paper aims to present and study the soft topological properties of soft Np - closure, soft Np - interior, soft Np - exterior, and soft Np - boundary of a soft set using the notion of soft Np- open and soft Np- closed sets. Also, we discuss the soft product of soft Np-open sets and give examples.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70467095","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Recently, the focus of mathematics scientists on the use of integral transforms in solving problems in various fields such as engineering, science, and other scientific fields has led to the need to know the integral transforms of the error function in order to evaluate improper integrals. In this paper, we will use transform (complex Sadik transform) and prove its ability to evaluate improper integrals that have error functions.
{"title":"The complex integral transform complex Sadik transform of error function","authors":"Nada Sabeeh Mohammed, Emad A. Kuffi","doi":"10.47974/jim-1613","DOIUrl":"https://doi.org/10.47974/jim-1613","url":null,"abstract":"Recently, the focus of mathematics scientists on the use of integral transforms in solving problems in various fields such as engineering, science, and other scientific fields has led to the need to know the integral transforms of the error function in order to evaluate improper integrals. In this paper, we will use transform (complex Sadik transform) and prove its ability to evaluate improper integrals that have error functions.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"70 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135953552","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Using the conjugacy condition and second-order Taylor expansion, we present a new formula in this paper. The novel formula, unlike traditional conjugate gradient approaches, utilizes information on available function values and gradients. The worldwide convergence findings of the formula are discussed, and numerical data show that this technique works.
{"title":"Elastic conjugate gradient methods to solve iteration problems","authors":"Basim Abbas Hassan, Abdulameer A. Saad","doi":"10.47974/jim-1619","DOIUrl":"https://doi.org/10.47974/jim-1619","url":null,"abstract":"Using the conjugacy condition and second-order Taylor expansion, we present a new formula in this paper. The novel formula, unlike traditional conjugate gradient approaches, utilizes information on available function values and gradients. The worldwide convergence findings of the formula are discussed, and numerical data show that this technique works.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135954773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Now with the increasing problems of expansion of the population and decay in the world, researchers are making great efforts to find new ideas and proposals to find successful solutions to solve these problems through the utilization of different integrated transformations. In our paper, the complex Sadik transform is applied to resolve the issues of population expansion and decay.
{"title":"Implementation of the CST complex Sadik transform to treat population expansion and decay problems","authors":"Nada Sabeeh Mohammed, Emad A. Kuffi","doi":"10.47974/jim-1624","DOIUrl":"https://doi.org/10.47974/jim-1624","url":null,"abstract":"Now with the increasing problems of expansion of the population and decay in the world, researchers are making great efforts to find new ideas and proposals to find successful solutions to solve these problems through the utilization of different integrated transformations. In our paper, the complex Sadik transform is applied to resolve the issues of population expansion and decay.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135958103","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The present paper tries to introduce a new process for solving fuzzy singular perturbation problem(SPP, s) with initial condition. This approach depends on on the partially fuzzy neural network to find the numerical solution of the second order of these problems. This system’s trial solution is written as a sum of two parts. The first section meets the fuzzy initial condition and does not have any fuzzy free parameters. The second component consists of a partially fuzzy feed-forward neural network. containing fuzzy adjustable parameters (the fuzzy weights). As a result, the starting condition is fulfilled by construction, and the network is trained to solve the differential equations. When compared to other numerical techniques, this technique proves that neural networks generate solutions with high generalizability and accurateness. A number of examples are given to show the proposed plan.
{"title":"A novel hybridized neuro-fuzzy model for solving fuzzy singular perturbation problems with initial conditions","authors":"Khalid Mindeel Mohammed Al-Abrahemee","doi":"10.47974/jim-1627","DOIUrl":"https://doi.org/10.47974/jim-1627","url":null,"abstract":"The present paper tries to introduce a new process for solving fuzzy singular perturbation problem(SPP, s) with initial condition. This approach depends on on the partially fuzzy neural network to find the numerical solution of the second order of these problems. This system’s trial solution is written as a sum of two parts. The first section meets the fuzzy initial condition and does not have any fuzzy free parameters. The second component consists of a partially fuzzy feed-forward neural network. containing fuzzy adjustable parameters (the fuzzy weights). As a result, the starting condition is fulfilled by construction, and the network is trained to solve the differential equations. When compared to other numerical techniques, this technique proves that neural networks generate solutions with high generalizability and accurateness. A number of examples are given to show the proposed plan.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"140 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135958512","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, new iterations with different steps such as resolvent Jungck ZSY, resolvent Jungck Modified Mann Z-, resolvent Jungck Petrusel, and the resolvent Jungck Ishikawa iterations are introduced. Also, the convergence and speediness of it are studied and shown that the resolvent Jungck ZSY- iteration scheme is faster than that of resolvent Jungck Modified Mann Z- iteration scheme. On the other hand, the resolvent Jungck ZSY- iteration is faster than the resolvent Jungck Picard iteration.
本文介绍了求解Jungck ZSY迭代法、求解Jungck Modified Mann Z-迭代法、求解Jungck Petrusel迭代法和求解Jungck Ishikawa迭代法。研究了该方法的收敛性和快速性，结果表明，解决式Jungck - ZSY-迭代方案比解决式Jungck - Modified Mann -迭代方案要快。另一方面，解析式Jungck - ZSY-迭代比解析式Jungck - Picard迭代更快。
{"title":"The convergence of new iterations by resolvent ZA-Jungck mappings","authors":"Alaa Mohsen, Z. H. Maibed","doi":"10.47974/jim-1462","DOIUrl":"https://doi.org/10.47974/jim-1462","url":null,"abstract":"In this paper, new iterations with different steps such as resolvent Jungck ZSY, resolvent Jungck Modified Mann Z-, resolvent Jungck Petrusel, and the resolvent Jungck Ishikawa iterations are introduced. Also, the convergence and speediness of it are studied and shown that the resolvent Jungck ZSY- iteration scheme is faster than that of resolvent Jungck Modified Mann Z- iteration scheme. On the other hand, the resolvent Jungck ZSY- iteration is faster than the resolvent Jungck Picard iteration.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70465175","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The objective of this study is to investigate the Contraharmonic-mean Newton’s method (CHN) for solving equations in Banach space. Local analysis has been performed by Taylor’s expansion utilizing high order derivatives and also using only the first derivatives appearing on the method. We have checked the theoretical results by comparing the CHN method with the Newton’s and related third order methods by Weerakoon et al. utilizing some test functions. The theoretical and numerical results are examined by the dynamical analysis of a selected test function.
{"title":"On the Contraharmonic-mean Newton’s method(CHN)","authors":"I. Argyros, Manoj K. Singh","doi":"10.47974/jim-1448","DOIUrl":"https://doi.org/10.47974/jim-1448","url":null,"abstract":"The objective of this study is to investigate the Contraharmonic-mean Newton’s method (CHN) for solving equations in Banach space. Local analysis has been performed by Taylor’s expansion utilizing high order derivatives and also using only the first derivatives appearing on the method. We have checked the theoretical results by comparing the CHN method with the Newton’s and related third order methods by Weerakoon et al. utilizing some test functions. The theoretical and numerical results are examined by the dynamical analysis of a selected test function.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70465337","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we consider the blow-up solutions of a semi-linear heat equation with a Neumann boundary condition, where the nonlinear terms, appear in the differential equation and in the boundary conditions, are of exponential types. We study the effect of the nonlinear terms on the last blow-up behavior. Precisely, the upper (lower) blow-up rate estimates are established by using integral equation method and maximum principle techniques. The results show that the presentence of the reaction and boundary terms has important effects on the upper (lower) blow-up rate estimates forms.
{"title":"Upper and lower blow-up rate estimates of a semilinear heat equation with a nonlinear boundary condition","authors":"Maan A. Rasheed, M. Chlebík","doi":"10.47974/jim-1302","DOIUrl":"https://doi.org/10.47974/jim-1302","url":null,"abstract":"In this paper, we consider the blow-up solutions of a semi-linear heat equation with a Neumann boundary condition, where the nonlinear terms, appear in the differential equation and in the boundary conditions, are of exponential types. We study the effect of the nonlinear terms on the last blow-up behavior. Precisely, the upper (lower) blow-up rate estimates are established by using integral equation method and maximum principle techniques. The results show that the presentence of the reaction and boundary terms has important effects on the upper (lower) blow-up rate estimates forms.","PeriodicalId":46278,"journal":{"name":"JOURNAL OF INTERDISCIPLINARY MATHEMATICS","volume":"1 1","pages":""},"PeriodicalIF":1.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70465549","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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