Contribución al cálculo de elementos en instalaciones eléctricas mediante PGD (Proper Generalized Decomposition)
[EN] Thesis exposition and summary. This thesis focuses on giving light to the current state of traditional numerical methods, the constraints we face, and the different solutions that are being proposed for the simulation of the electromagnetic behaviour of different materials as electrical conduct...
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| Tipo de recurso: | tesis doctoral |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universitat Politècnica de València (UPV) |
| Repositorio: | RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia |
| Idioma: | español |
| OAI Identifier: | oai:riunet.upv.es:10251/61966 |
| Acceso en línea: | https://riunet.upv.es/handle/10251/61966 |
| Access Level: | acceso abierto |
| Palabra clave: | Descomposición Propia Generalizada PGD Proper Generalized Decomposition Modo Electromagnetismo Métodos numéricos Problema paramétrico Optimización Ábaco virtual. INGENIERIA ELECTRICA |
| Sumario: | [EN] Thesis exposition and summary. This thesis focuses on giving light to the current state of traditional numerical methods, the constraints we face, and the different solutions that are being proposed for the simulation of the electromagnetic behaviour of different materials as electrical conductors in transmission lines and grounding facilities, based on the formulation that defines the Electromagnetic Field Theory (Maxwell Laws), and the different conditions of each particular problem to solve. The main aim of the thesis is to investigate the application of numerical techniques very recently applied, known as the Proper Generalized Decomposition (PGD). Based on a novel technique of decomposition of multidimensional variables (such as in electromagnetic field) in a sum of products (modes) of one-dimensional variables, and using iterative algorithms, PGD can address with a reduced need for computational media, complex problems whose solution requires extraordinary means using traditional techniques. These new techniques have been successfully applied in other domains, such as the simulation of mechanical components and materials science. The aim of this thesis is the application of these new techniques to the simulation of electromagnetic phenomena in the different elements designed for the use of electricity. The thesis focuses on the development of modelling power transmission conductor energy and grounding networks, basic structures in electrical technology but serve to analyze and observe in detail, as well as to validate with traditional methods of proven reliability, the great potential of PGD, leaving open the application of the technique to technically complex as transformers and rotating machines in future works of the Electrical Equipment, Systems and Facilities Research Group (ISEE) of the Polytechnic University of Valencia (UPV). The main novelties of the thesis on previous work are part of the objectives, and are as follows: -Optimization on PGD technique. In this thesis has been chosen by an application of PGD with maximum decomposition in elementary functions, i.e., modes will be considered consisting of products of functions exclusively one-dimensional (x, y, z, t, frequency, etc.), then discretized with uniform dimensional meshes. This will lead us to obtain simple codes, which require easy deployment and reduced computational resources. -Applications of PGD to electromagnetism field, since the vast majority of references that can be found in the application of PGD concern the field of mechanics and materials. This work aims to use advances made in these fields, and apply to the field of electromagnetism, where only very few works have been published in recent years, with the aim of contributing to further open a new front in the development and application of technology that allows to overcome the limitations and problems that far presented with traditional techniques resolution. |
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