Les travaux de cette thèse concernent l'homogénéisation d'équations de Maxwell harmoniques tridimensionnelles, modélisant la propagation d'une onde électromagnétique issue de la foudre, de l'air dans le matériau composite. La problématique des composites étant, par exemple en aéronautique, l'évacuation de la foudre et la protection contre les agressions électromagnétiques. Nous considérons une structure constituée de fibres de carbone incluses dans une résine époxy qui sera elle-même nano chargée. Rendant ainsi le composite électriquement conducteur. Afin d'obtenir le problème homogénéisé nous utilisons l'analyse asymptotique à deux échelles. Puis nous justifions mathématiquement le résultat par la convergence à deux échelles. La solution du champ électrique est approchée par l'addition du champ électrique moyen et le champ correcteur, dépendant de la microstructure, et solution des problèmes de cellule. Dans la deuxième partie, nous proposons une validation numérique du modèle simplifié en 2D via des simulations avec le logiciel libre d'éléments finis Freefem ++. Trois cas tests seront présentés avant de valider la méthode d'homogénéisation. Enfin, en guise d'illustration du modèle, deux exemples d'agressions électromagnétiques : l'arc en retour de foudre de type A et une impulsion électromagnétique nucléaire seront testées dans le domaine fréquentiel. / The work of this thesis concerns the homogenization of three-dimensional harmonic Maxwell equations, modeling the propagation of an electromagnetic wave originating from lightning, from air in the composite material. The problem of composites being, for example in aeronautics, the evacuation of the lightning and the protection against the electromagnetic aggressions. We consider a structure made of carbon fibers included in an epoxy resin which will itself be nano- charged. Thus rendering the composite electrically conductive. In order to obtain the homogenized problem, we use asymptotic analysis at two scales. Then we mathematically justify the result by two-scale convergence. The solution of the electric field is approximated by the addition of the average electric field and the correct field, depending on the microstructure, and solution of the cell problems. In the second part, we propose a numerical validation of the simplified model in 2D via simulations with the free finite element software Freefem ++. Three test cases will be presented before validating the homogenization method. Finally, as an illustration of the model, two examples of electromagnetic aggression: the Type A lightning bolt and a nuclear electromagnetic pulse will be tested in the frequency domain.

O objetivo deste trabalho é apresentar uma metodologia de cálculo da distribuição de correntes e dos campos eletromagnéticos e tensões induzidas associadas em estruturas atingidas diretamente por descargas atmosféricas que, agregada à filosofia geral de compatibilidade eletromagnética (CEM), constitua uma abordagem inovadora e abrangente quando comparada às recomendações de proteção contra descargas atmosféricas atuais. Propõe-se, portanto, desenvolver uma metodologia que: · Constitua uma ferramenta de auxílio nas tomadas de decisões, aplicável desde a etapa de definição da arquitetura da estrutura e do leiaute dos equipamentos até a definição final da configuração do sistema de proteção contra descargas atmosféricas (S.P.C.D.A); · Possibilite a implementação de uma filosofia de proteção dos equipamentos e sistemas elétricos e eletrônicos contra descargas atmosféricas na qual se integre as recomendações tradicionais às necessidades atuais relacionadas à área de compatibilidade eletromagnética; · Seja abrangente e com grau de precisão satisfatório, quando comparadas com as recomendações atuais, com possibilidade de exploração dos valores das grandezas elétricas envolvidas no domínio do espaço e do tempo, e · Apresente simplicidade na implementação em computadores pessoais. / The main purpose of this work is to present a suitable method for calculating the current distribution, the electric and magnetic field, and the induced voltage on electric circuits regarding a structure directly struck by lightning. Moreover, when the method is used together with the electromagnetic compatibility (EMC) requirements, it can provide the designer with a new and helpful methodology meeting the recent aspects or the state of the art on lightning protection systems (L.P.S). Thus, a methodology is proposed, which provides the L.P.S. design team with: · The availability to take technical decisions in all steps of the project, from the definition of the architecture of the structure to the definition of the best layout of L.P.S.; · Recommendations to achieve the EMC of the electric and electronic system, in addition to the traditional ones; · Reliable numerical results concerning simulations in the space and time-domain, and · Simple implementation in personal computers.

Com o déficit de energia que atualmente preocupa o setor elétrico brasileiro, ameaçando os consumidores com a possibilidade de novos racionamentos, surge a perspectiva de aumento de produção de energia, através da criação de usinas eólicas para suprir essa demanda. Entretanto, esta forma de geração, sabidamente, provoca distorções na qualidade de energia fornecida, principalmente quanto à geração de harmônicas, que acabam por interferir diretamente nas cargas podendo provocar danos a equipamentos e instalações. Por esse motivo, este trabalho visa analisar a contribuição desse tipo de geração no sistema elétrico e discutir, com base em estudos experimentais realizados em modelos de aerogeradores e diretamente em unidades geradoras instaladas em plantas de geração eólica, as perturbações harmônicas geradas pelo controle de tensão e frequência do sistema. A metodologia utilizada será a de medição das distorções harmônicas, através de analisadores de qualidade de energia, instalados primeiramente em modelos laboratoriais dos principais tipos de aerogeradores existentes no mercado, medindo as perturbações em diversas situações de carga, obedecendo ao estabelecido na norma NBR-IEC- 61400-21/2010 Medição e Avaliação da Qualidade de Energia de Aerogeradores Conectados a Rede. / With the energy deficit that currently worries the Brazilian electric sector, threatening consumers with the possibility of further rationing comes the prospect of increased energy production through the creation of wind farms to meet this demand. However, this form of generation is known to distort the quality of power supplied, especially as the generation of harmonics, which ultimately interfere directly in the loads can cause damage to equipment and facilities. Therefore, this study aims to analyze the contribution of this type of generation on the electrical system and discuss, based on experimental studies in directly generating units installed in wind generation plants, disturbances generated by harmonic voltage and frequency control system. The methodology will be the measurement of harmonic distortion through power quality analyzers, installed primarily in laboratory models of the main types of wind turbines on the market, measuring disturbances in various loading conditions, obeying the established standard NBR-IEC-61400-21/2010 - Measurement and Evaluation of Power Quality of Wind Turbines Connected Network.

<p>In order to achieve better lightning protection and electromagnetic compatibility (EMC) requirements, the needs for a proper grounding system and the knowledge of its transient behaviour become crucial. </p><p>The present work is focused towards developing engineering models for transient analysis of grounding system with sufficient accuracy and simplicity for lightning studies. Firstly, the conventional uniform transmission line approach for a single grounding conductor is modified and extended to grounding grids. Secondly, in order to overcome the drawbacks of all the existing transmission line approaches, for the first time, a non-uniform transmission line approach is developed for modelling the transient behaviour of different types of grounding systems. The important feature of such an approach is in its capability to include the electromagnetic couplings between different parts of the grounding system using space and time dependent per-unit length parameters.</p><p>High voltages and currents induced in the grounding systems due to lightning always produce ionization in the soil. This phenomenon should be included during the transient analysis of grounding systems. In the present work, an improved soil ionization model including residual resistivity in ionization region is developed. The fact that there exists residual resistivity in ionization region (7 % of the original soil resistivity) can be proved by the experiments reported in the literature and the experiments carried out at the high voltage lab of Uppsala University. The advantage of including residual resistivity is that the beneficial influence of soil ionization in reducing the potential rise of grounding system will not be overestimated, especially in high resistivity soil.</p><p>Finally, the transmission line approaches are adopted for studying the response of grounding systems due to lightning for different applications. These are, influence of soil parameters on the transient behaviour of grounding systems, transient analysis of grounding structures in stratified soils, investigation of the validity of existing definitions for effective length/area of different grounding structures, current distribution in the shields of under ground cables associated with communication tower, and influence of insulator flashover and soil ionization around the pole footing on surge propagation in Swedish railway system.</p>

In order to achieve better lightning protection and electromagnetic compatibility (EMC) requirements, the needs for a proper grounding system and the knowledge of its transient behaviour become crucial. The present work is focused towards developing engineering models for transient analysis of grounding system with sufficient accuracy and simplicity for lightning studies. Firstly, the conventional uniform transmission line approach for a single grounding conductor is modified and extended to grounding grids. Secondly, in order to overcome the drawbacks of all the existing transmission line approaches, for the first time, a non-uniform transmission line approach is developed for modelling the transient behaviour of different types of grounding systems. The important feature of such an approach is in its capability to include the electromagnetic couplings between different parts of the grounding system using space and time dependent per-unit length parameters. High voltages and currents induced in the grounding systems due to lightning always produce ionization in the soil. This phenomenon should be included during the transient analysis of grounding systems. In the present work, an improved soil ionization model including residual resistivity in ionization region is developed. The fact that there exists residual resistivity in ionization region (7 % of the original soil resistivity) can be proved by the experiments reported in the literature and the experiments carried out at the high voltage lab of Uppsala University. The advantage of including residual resistivity is that the beneficial influence of soil ionization in reducing the potential rise of grounding system will not be overestimated, especially in high resistivity soil. Finally, the transmission line approaches are adopted for studying the response of grounding systems due to lightning for different applications. These are, influence of soil parameters on the transient behaviour of grounding systems, transient analysis of grounding structures in stratified soils, investigation of the validity of existing definitions for effective length/area of different grounding structures, current distribution in the shields of under ground cables associated with communication tower, and influence of insulator flashover and soil ionization around the pole footing on surge propagation in Swedish railway system.

In this thesis, determination of the shielding effectiveness of a rectangular shielding box with apertures on its walls by using electromagnetic topology (EMT) technique based on Baum-Liu-Tesche (BLT) equation is presented. The presented technique is applied to determine the field penetration into various rectangular shielding boxes with different sizes and aperture dimensions. An HP branded computer case is also analysed as a rectangular shielding box with a CD driver slot as an aperture. Results on electromagnetic field penetration through the apertures into the boxes at different frequencies are obtained by using the presented method and compared with the results obtained by using CST MICROWAVE STUDIO&reg / software simulation.

In this thesis / Electromagnetic Compatibility (EMC) of Electric Power Quality Monitor developed within the scope of National Power Quality Project has been investigated according to EN 61326 standard. Both immunity and emission tests have been carried out in EMC laboratories of ELDAS and ASELSAN for the device under test. Necessary counter measures such as using electromagnetic interference (EMI) filters and transient voltage suppressors, shielding the case of device with EMI protective materials have been taken to satisfy the immunity and emission limits defined in the standard for the device, and their success have been verified by laboratory tests. This research work has been fully supported by Public Research Grant Committee (KAMAG) of T&Uuml / B&amp / #272 / TAK within the scope of National Power Quality Project (105G129).

Most electromagnetic interference standards specify that measurements of radiated emissions must be performed in the far field (FF), e.g. at an open-area test site or in a semi-anechoic chamber. Since near field (NF) measurements are cheaper, quicker and more flexible compared to FF tests, establishing a correlation between NF and FF data is of great research interest. One strategy to achieve this goal is to find a set of basic radiators comprising electric and magnetic dipoles that generate the same NF as the original source at selected observation points. This set of dipoles, based on the uniqueness theorem, can then be used to predict the FF radiation patterns. The uniqueness theorem requires that electric or magnetic fields are matched on a closed surface with respect to the magnitude and phase. The focus of this thesis is the investigation of FF prediction based on NF magnitude-only data. In this thesis, a robust NF-FF conversion model based on Genetic Algorithms (GAs) is built up to predict the radiation of printed circuit boards (PCBs). This is done by introducing a dipole moment magnitude range pre-selection before the initialisation step of GAs, customising the processes of selection, crossover and mutation for anti-sticking and checking the correlation between NF and FF fitness values. Since the performance of GAs is tightly related to the number of dipoles in the GA model, FF characteristics of generic radiation sources (such as a long wire and a large loop) are analysed using both analytical calculation and source modelling by GAs. For structures with simple FF patterns, if more dipoles than necessary are used, the computational cost of GAs is unnecessarily high. On the other side, for structures with complicated FF patterns, the GA modelling may not be able to well approximate the FF radiation, due to the limitation for GAs to tackle too many unknowns. Therefore the scope of the model applicability is discussed, and a dipole number N, depending on the electrical size of the source, is recommended for GA modelling. By applying GAs to get the equivalent dipole set of a radiating PCB from the magnetic NF magnitudes, NF sampling approaches are investigated in detail, including where to locate NF sampling planes, what plane coverage angle to choose, how many points to observe, what type of data to collect, what dynamic range to allow for the data, and how many planes to choose. Two case studies are presented for predicting the FF radiation of PCBs from magnetic NF magnitude-only observations, and validate the NF sampling approaches in this thesis.

[Truncated introduction] A major contribution of this thesis is the observation that the N port impedance parameters for the distribution planes can be modelled as simple LC series elements in the frequency range over which the interesting interactions between the loading elements and the planes occur. Loosely speaking, the C represents the inter-plane capacitance and the L is associated with a first order frequency trend of the transfer and input impedances associated with the planes. In the literature, values for L have been obtained for power ground plane structures using curve fitting techniques [38]. In this thesis, formulae are developed for L based on the modal summation expression. As for the impedance case, the approach developed in the thesis that removes the singular behaviour, results in computational efficient expressions. Preliminary results on the simple LC model were presented by the author in [42, 43] The results reported in the thesis extend this work in the light of the new impedance model proposed. The simple LC characterisation enables the development of new low frequency expression for the input and transfer impedance for ports on planes loaded with many decoupling capacitors. The expressions are based on a one off frequency independent decomposition of the inductance matrix associated with the placement of the capacitors. The eigen-mode decomposition eliminates the need for matrix inversion at each frequency point and leads to an efficient computational procedure for calculating the impedance of loaded planes. Furthermore, the interaction between the capacitors and planes is clearly seen in the analytical expressions. This has led to new insights regarding the interaction of multiple capacitors with supply planes in terms of location, resonance mechanisms, pole locations and damping. These insights are beneficial to the understanding and optimisation of printed circuit board power distribution systems.

Les véhicules de transport tendent à utiliser de plus en plus des énergies dites propres. De ce fait, les structures des réseaux électriques embarqués se complexifient que ce soit en termes d'architecture, de nombre de convertisseurs d'électronique de puissance connectés ou bien des technologies utilisées dans ces derniers. En complément de l'approche normative, où le convertisseur est étudié seul dans un environnement normalisé, cette thèse de modélisation CEM de convertisseurs statiques se place dans le cadre particulier des réseaux pour lesquels : • la connaissance de la structure interne du convertisseur étudiée n'est pas nécessaire à la réalisation de son modèle. La méthode développée se base uniquement sur des mesures extra-convertisseurs. Cette approche possède l'avantage de garantir aux fabricants une certaine confidentialité sur l'architecture interne des convertisseurs tout en permettant à l'équipementier d'étudier les effets de ces derniers sur son réseau de bord ; • le réseau sur lequel les convertisseurs sont modélisés peut posséder une architecture complexe par rapport à l'approche « convertisseur seul sur RSIL ». Pour plus de réalisme, le fonctionnement normal d'un convertisseur peut être soumis au fonctionnement d'autres convertisseurs du réseau. Ainsi, les impédances qui seront mises face au convertisseur étudié devront représenter la réalité de ce réseau qui ne sera alors pas nécessairement bien connu. Même si ce n'est pas ce qui a été réalisé au cours de cette thèse, ce point est important puisqu'il remet en question l'utilisation systématique des RSIL puisqu'ils faussent le comportement réel sur réseau ; • la montée en fréquence des technologies utilisées dans les convertisseurs conduit à la nécessité d'un modèle sur une plage de fréquences allant au-delà des 30MHz conventionnels imposés par les normes. Pour ce travail, une plage allant de la fréquence de découpage jusqu'à 100MHz était visée. En définitive, l'objectif principal de cette thèse a été de réaliser un protocole d'identification clairement défini dans le but de renseigner un modèle de type « boîte noire » compatible avec les convertisseurs statiques. Ce modèle a été choisi pour : • son faible nombre d'éléments, le rendant compatible avec l'analyse d'un réseau où de nombreux convertisseurs seront présents ; • sa généricité qui permet d'établir une méthode d'analyse systématique. • sa compatibilité avec l'étude classique en mode commun – mode différentiel qui, dans le cadre de la séparation de modes, le rend même plus simple à utiliser. L'envie de donner du sens physique aux éléments de ce modèle a été une clé dans son identification. De ce fait, les nombreux modèles CEM de convertisseurs statiques qui existent et qui possèdent une utilité (par exemple, dans le cadre du dimensionnement des filtres CEM d'entrée) n'ont pas été laissés de côté. Il a donc été choisi de réaliser dès que possible un lien formel entre les différents modèles. / Energy saving in stationary or embedded systems is a general trend in the modern society. Therefore, the “More Electrical” concept is widely developed, using the Power by Wire idea. The need of increased efficiency and the various ways the electricity is produced, used or stored has led to the generalization of power electronics use. If this solution is effective regarding weight and losses, the high switching frequencies and sharp commutations (several mega-volts or mega-amps per microseconds) generate Electromagnetic Interferences (EMI) which have to be managed. This phenomenon is especially dramatic with the new wide band gap devices, with always increasing commutation speed. Electromagnetic models (EMC) of power electronics converters are thus needed to manage EMC aspects of More Electrical Systems. Depending on the needs, many solutions have been proposed in the literature, to account for the high frequency behavior of power electronics converters (from the switching frequency to several tens of Megahertz). In addition to the classical normative approach, the “EMC system model for power electronics converter” presented here aims to be suitable for embedded networks. In opposition to EMC filter design method, no inner knowledge (as an accurate description of each element and propagation path) from the studied converter is needed. Only external measurements are needed to get the model. Thus, non-disclosure agreement is guaranteed and the embedded network can be studied. Regarding the network structure, the “LISN + Converter” approach can be far away from its complexity. A more global approach might be achievable with “black-box” approach. For the normative approach, only EMI under 30MHz are considered. By increasing the switching frequency, the “EMC system model” has to be valid up to 100MHz. The aim of the Ph.D. is to achieve an entire identification protocol of a “Black-box” model. This modification has been chosen for: • Its tiny number of elements. This means that it can be use in network analysis with multiple converters. • Its generalist form lead to a systematic method of analysis. • Its links with the classical common mode and differential mode approach which give some interesting connection with classical converters modelization. Those links lead to a physical consideration about the meaning of this non-comprehensive model.