Ce travail s'inscrit dans le cadre général de l'étude structurale et magnétique de nanomatériaux magnétiques à base de terres rares (R) et de métaux de transition (T) dont le domaine d'application concerne les aimants permanents ou l'enregistrement magnétique à haute densité. Dans la recherche de nouvelles phases aux caractéristiques magnétiques performantes, nous nous sommes intéressés à l'alliage Pr2Co7 . Ce composé a des propriétés magnétiques dures intéressantes : température de Curie élevée et une anisotropie magnéto-cristalline uniaxiale importante. Du point de vue magnétique, les interactions d'échange Co-Co sont les plus fortes, suivies par les interactions R-Co, tandis que les interactions R-R sont très faibles. La dominance des interactions Co-Co induit des températures de Curie assez élevée dans les composés Pr2Co7 . L'anisotropie magnétocristalline résulte de la combinaison de deux anisotropies uniaxiales des réseaux de praséodyme et de cobalt. Afin de renforcer ces interactions, il s'avère nécessaire de substituer partiellement le cobalt dans les composés Pr2Co7 par un élément approprié tel que le fer qui a un rayon légèrement plus gros que celui du cobalt ou par insertion d'un élément léger tel qu’hydrogène ou le carbone qui peuvent augmenter les distances interatomiques et renforcer le moment magnétique. De plus, parallèlement à des propriétés magnétiques intrinsèques performantes, il est nécessaire d'optimiser les propriétés magnétiques extrinsèques de l'alliage par la recherche d'un état nonocristallin convenable correspondant aux applications potentielles. Les propriétés extrinsèques des composés Pr2Co7 n'ont été que très peu étudiées. Plusieurs méthodes ont été utilisées pour l'élaboration des nanomatériaux. Dans notre étude, nous avons mis en œuvre la technique de broyage à haute énergie suivie d'une recristallisation contrôlée, méthode de synthèse qui jusque-là n'avait pas encore été utilisée pour synthétiser ce type de composé. À cette échelle, la taille des grains devient de l'ordre de grandeur de la longueur d'échange. Cette méthode qui constitue un processus de synthèse hors équilibre, permet l'obtention de poudres nanostructurées métastables à partir d'un mélange de poudres élémentaires. Cette technique est particulièrement efficace dans le cas des alliages à base de terre rares (Pr, Sm...) qui sont extrêmement volatil. En effet, elle permet d'éviter l'état liquide puisque la réaction a lieu en dessous de la température de fusion et conduit à des quantités importantes reproductibles et homogènes d'alliages. Nous avons utilisé différentes méthodes de caractérisation à savoir : la diffraction de rayon X (DRX), la microscopie électronique à transmission (MET) couplée avec l'analyse EDX,la Magnéto/susceptométre Manics DSM-8 / This work falls within the general framework of the structural and magnetic nanomaterials based magnetic rare earth (R) and transition metal (T) whose domain of application concerns the permanent magnets or magnetic recording high density. In search of new magnetic phases in performance characteristics, we were interested in the alloy Pr2Co7. This compound has interesting hard magnetic properties: high Curie temperature and uniaxial magnetocrystalline anisotropy important. From the perspective of magnetic exchange interactions Co-Co are the strongest, followed by R-Co interaction, while the RR interactions are very weak. The dominance of Co-Co interactions induces relatively high Curie temperatures in compounds Pr2Co7.The magnetocrystalline anisotropy results from the combination of two networks uniaxial anisotropy praseodymium and cobalt. To strengthen these interactions, it is necessary to partially substitute cobalt in compounds Pr2Co7 by an appropriate element such as iron which has a radius slightly larger than that of cobalt or by insertion of a light element the hydrogen and carbon that can increase the interatomic distances and enhance the magnetic moment. Moreover, along with intrinsic magnetic properties improves, it is necessary to optimize the extrinsic magnetic properties of the alloy by the search for a suitable nanocrystalline state corresponding to the potential applications. The extrinsic properties of compounds Pr2Co7 have been little studied.Several methods were used for the development of nanomaterials. In our study, we have W arranty the technique of high energy milling followed by recrystallization controlled synthesis method which until then had not yet been used to synthesize this type of compound. At this scale, the grain size becomes of the order of magnitude of the exchange length. This method which is a non-equilibrium synthesis process, allows the production of nanostructured powders metastable from a mixture of elemental powders. This technique is particularly effective in the case of alloys based on rare earth (Pr, Sm ...) that are extremely volatile. Indeed, it avoids the liquid state since the reaction takes place below the melting temperature and led to reproducible and large quantities of homogeneous alloys. We used different characterization methods, namely: the X-ray diffraction (XRD), transmission electron microscopy (TEM) coupled with EDX analysis, the magneto / susceptometer Manics DSM-8

<div>The numerical calculation of the electromagnetic fields within electric machines is sensitive to the magnetic characteristic of steel. However, the magnetic characteristic of steel is uncertain due to fluctuations in alloy composition, possible contamination, and other manufacturing process variations including punching. Previous attempts to quantify magnetic uncertainty due to punching are based on parametric analytical models of <i>B-H</i> curves, where the uncertainty is reflected by model parameters. In this work, we set forth a data-driven approach for quantifying the uncertainty due to punching in <i>B-H</i> curves. In addition to the magnetic characteristics of steel lamination, the remanent flux density (<i>B_r</i>) exhibited by the permanent magnets in a permanent magnet synchronous machine (PMSM) is also uncertain due to unpredictable variations in the manufacturing process. Previous studies consider the impact of uncertainties in <i>B-H</i> curves and <i>B_r</i> of the permanent magnets on the average torque, cogging torque, torque ripple and losses of a PMSM. However, studies pertaining to the impact of these uncertainties on the combined machine/drive system of a PMSM is scarce in the literature. Hence, the objective of this work is to study the effect of <i>B-H</i> and <i>B_r</i> uncertainties on the performance of a PMSM machine/drive system using a validated finite element simulator. </div><div>Our approach is as follows. First, we use principal component analysis to build a reduced-order stochastic model of <i>B-H</i> curves from a synthetic dataset containing <i>B-H</i> curves affected by punching. Second, we model the the uncertainty in <i>B_r</i> and other uncertainties in <i>B-H</i> characteristics e.g., due to unknown state of the material composition and unavailability of accurate data in deep saturation region. Third, to overcome the computational limitations of the finite element simulator, we replace it with surrogate models based on Gaussian process regression. Fourth, we perform propagation studies to assess the effect of <i>B-H</i> and <i>B_r</i> uncertainties on the average torque, torque ripple and the PMSM machine/drive system using the constructed surrogate models.</div>

Os principais objetivos deste trabalho são estudar e caracterizar as perdas em acoplamentos magnéticos a ímãs permanentes, quando da existência de uma barreira de material condutor entre seus rotores. Tais perdas são originadas da circulação de correntes parasitas de Foucault na barreira e implicam um torque resistivo ao torque transmitido pelo acoplamento, diminuindo, dessa maneira, a eficácia de sua transmissão. Com este estudo pretendeu-se investigar também a influência desse efeito resistivo na curva característica do acoplamento, ou seja, na curva torque em função do deslocamento angular entre os rotores. A determinação dessa influência da placa condutora no comportamento do acoplamento magnético é de suma importância, uma vez que permite seu correto dimensionamento em aplicações como bombas seladas e agitadores. Para a determinação da influência da barreira, recorreu-se a uma abordagem analítica para o cálculo das perdas geradas pelas correntes parasitas, que são induzidas na placa condutora. Desta forma, foi possível obter o torque resistivo em função dos parâmetros construtivos do acoplamento e da velocidade de rotação. A validação da metodologia empregada será feita pela comparação dos resultados teóricos com os experimentais, através de ensaios num protótipo já construído. / The main objectives of this work are to study and to determine losses in permanent magnet couplings in the presence of a conductive barrier between its rotors. These losses are originated from eddy currents that circulate in the barrier and entail a resistive torque to the torque that is transmitted by the coupling and therefore, reduces the efficiency of its transmission. With this study, it was also intended to investigate such resistive effect influence in the coupling characteristic curve, i.e. in the torque versus angular shift between rotors curve. The determination of the conductive barrier influence on the magnetic coupling behavior is of major importance, since it allows the correct designing in applications as sealed pumps and magnetic stirrers. In order to determine the barrier influence, an analytical approach was used in order to calculate the losses generated by the eddy current circulation, which are induced in the conductive wall. As a result, it was possible to obtain the resistive torque as a function of the magnet coupling geometrical parameters and angular speed. The validation of the employed methodology will be made comparing the theoretical results with the experimental ones, obtained from tests in the existing prototype.

Este trabalho de mestrado está relacionado com a análise do comportamento dinâmico de turbinas eólicas equipadas com gerador síncrono com excitação a ímãs permanentes operando durante contingências na rede elétrica e com variação na velocidade do vento. Tal configuração tem muitas vantagens quando comparada com a configuração atualmente utilizada pelos principais fabricantes de turbinas eólicas de grande porte. A principal delas é devido ao fato de não utilizar caixas de engrenagens. Porém, o impacto na rede elétrica com a conexão de tal configuração deve ser minimizado melhorando as condições operativas no ponto de conexão da fazenda eólica. Desta forma, o projeto em questão visa investigar formas de diminuir os impactos negativos causados e melhorar a estabilidade do sistema, principalmente, no ponto de conexão à rede elétrica Portanto, o projeto de pesquisa deste mestrado está relacionado ao desenvolvimento de modelos computacionais que representem tal tecnologia, considerando os principais componentes e controles utilizando o software de simulação PSCAD. Também são incluídos novos métodos de controle e elementos adicionais que melhoram a confiabilidade e o nível de penetração de parques eólicos com geradores a ímãs permanentes. Ressalta-se que tais modelos não estão disponíveis de forma completa no software citado acima, portanto foram desenvolvidos partindo de modelos genéricos existentes. Todas as partes do modelo foram realizadas com elementos básicos acessíveis em qualquer programa de simulação, de modo que qualquer engenheiro ou pesquisador possa programar este mesmo modelo em qualquer software. Esta dissertação começa com uma breve descrição do modelo desenvolvido, incluindo o modelo aerodinâmico das turbinas eólicas, o controle do conversor do lado do gerador, o controle do conversor do lado da rede e o sistema de proteção do link de corrente contínua. Com o modelo desenvolvido, analisa-se a operação do gerador síncrono a imãs permanentes durante contingências na rede. A aplicação de um sistema avançado de armazenamento de energia e a possibilidade de suporte de frequência à rede elétrica também foram desenvolvidos e analisados. Considerando os resultados obtidos, podemos verificar que a conexão de parques eólicos equipados com geradores síncronos com excitação a ímãs permanentes pode trazer benefícios para a rede elétrica, quando o seu potencial de controle e de operação é utilizado. Mais detalhes podem ser verificados nos capítulos a seguir. / This master\'s project aims to study the behavior of wind turbines with Permanent Magnet Synchronous Generator, operating during contingencies and changes in wind speed. This configuration has many advantages compared with configurations currently used by leading manufacturers of large wind turbines. The main one is due to the fact of use smaller gearboxes or even gearless turbines. However, the impact on the electrical grid connection of this configuration should be minimized by improving the operating conditions at the connection point of the wind farm. Thus, this project aims to investigate ways to reduce the negative impacts and improve the system stability, especially at the grid connection point. This work employs the simulation software PSCAD for developing a computational model of this technology, considering the main components and controls. New control methods and additional features are included, for improving the reliability and the level of penetration of wind farms with permanent magnet generators in the power system. It is noteworthy that such models are not available in the simulation software PSCAD; therefore it was developed from existing generic models. All parts of the model were done with basic elements; as a result any engineer or researcher can program this same model in any software. This work begins with a brief description of the developed model, including: the aerodynamic model of the wind turbines, the control of the generator side converter, the control of the grid side converter and the protection system of the Link-DC. With this model, the operation of the permanent magnet synchronous generator was analyzed during network contingencies. The application of a sophisticated energy storage system for frequency support was also both developed and analyzed. The connection of wind turbines with Permanent Magnet Synchronous Generator has advantages when its potential for control and operation is used. More details can be checked in the following chapters.

Dans le cadre de la réduction des émissions des gaz à effet de serre, et devant l'augmentation incessante du prix de l'énergie, la course à l'amélioration des performances énergétiques touche tous les secteurs : industriel, tertiaire ou même celui des particuliers. La consommation de l'énergie électrique est due en grande partie aux moteurs électriques, et particulièrement les machines asynchrones, utilisées dans diverses applications telles que le pompage, la ventilation ou la compression. Ces machines sont caractérisées par des rendements relativement faibles et leur remplacement par des machines plus performantes permettrait un gain d'énergie non négligeable. Les machines à aimants permanent ayant pouvoir de démarrage autonome sont de bonnes candidates pour répondre à ce besoin. Elles ont de très bons rendements et les artifices supplémentaires permettant le démarreur automne suppriment la nécessité d'utiliser des convertisseurs statiques comme dans le cas des machines à aimants classiques. Des contraintes spécifiques se posent cependant pour l'utilisation et le dimensionnement de ces machines : en effet, le courant de démarrage ne doit pas être trop important à cause du risque de démagnétiser les aimants et le couple de démarrage doit être suffisamment grand pour assurer un démarrage en charge. Par ailleurs les rendement et facteurs de puissance en pleine charge doivent être assez nettement supérieurs à ceux des machines asynchrones pour les rendre plus compétitives. Dans cette thèse, nous étudions trois structures de rotor permettant de répondre à un cahier des charges donné. Ces trois structures utilisent des aimants en surface, insérés dans un rotor massif ou dans un rotor à cage. Elles ont leurs avantages et leurs inconvénients, que nous avons mis en évidence par une étude comparative assez détaillée. Cette étude comparative n'a pu être mise en oeuvre sans l'établissement de modèles en régime statique ou dynamique de ces machines ou encore de méthodologie de conception. Un prototype à échelle réduite a été dimensionné, réalisé et testé au laboratoire ; il confirme les principes de base de ce type de machines / In the context of reducing emissions of greenhouse effect, and of energy cost, the competition to improve the performances of the equipments affects all the domains. The consumption of electricity is mostly due to the electric motors, and particularly induction machines, used in various devices such as pumps, fans or compressors. These machines are characterized by relatively low efficiencies, and their replacement by more efficient machines should lead to a significant power saving. The Line-Start Permanent Magnet motors are good candidates to achieve this purpose. They have higher efficiencies and the additional devices for self-start eliminates the need of static converters, as it is normally required for conventional permanent magnet motors. Specific constraints arise for the use and the design of these machines: the starting current should not be so high to avoid the risk of the demagnetization of magnets and the starting torque must be large enough to ensure the start under load. Moreover, the efficiency and power factor at full load must be sufficiently higher than those of asynchronous machines in order to make them more competitive. In this thesis, we study three rotor structures to meet a given specification. These three structures use magnets inserted on the surface, embedded in a solid rotor or a cage rotor. They have their advantages and drawbacks that we have shown by a comparative study in some detail. This comparative study could not be implemented without the development of models in both static and dynamic conditions of these machines and a specific design methodology. A small scale of prototype has been designed, built and tested in the laboratory; it confirms the basic principles of such machines

Les travaux menés au cours de cette thèse abordent les aspects de la conception optimale des machines électriques appliquées à la traction automobile.Cette thèse traite tout d’abord des contraintes imposées par le cahier des charges de l’application automobile électrique/hybride. Une méthode de classification ayant pour but de réduire le nombre d’évaluations des points de fonctionnement y est décrite. Ensuite, un prédimensionnement optimal de la machine est présenté. Le design de la machine est alors construit pour respecter la solution obtenue par le prédimensionnement.Dans la suite, une modélisation électromagnétique analytique précise et rapide de la machine est mise au point pour évaluer ses performances. Enfin, le modèle analytique précédemment conçu est couplé à une routine d’optimisation. Deux solutions optimales de machines synchrones à aimants permanents (MSAP) dédiées à l’application automobile seront finalement mises en exergue. / The work presented in this thesis aims at the modelling and optimisation of electrical machine for an automotive application.The first part shows the constraints required to electric/hybrid automotive specifications. A clustering method which allows to reduce evaluations number of the operating points is described. Next, an optimal pre-sizing of the machine is presented and designed in order to respect this optimal pre-sizing.In what follows an accurate and fast analytical electromagnetic modelling of the machine is performed. Well, the analytical modelling developed is related to a genetic algorithm. Two solutions of permanent magnet synchronous machines (PMSM) designed to automotive application are finally showed and analysed.

Este trabalho de mestrado está relacionado com a análise do comportamento dinâmico de turbinas eólicas equipadas com gerador síncrono com excitação a ímãs permanentes operando durante contingências na rede elétrica e com variação na velocidade do vento. Tal configuração tem muitas vantagens quando comparada com a configuração atualmente utilizada pelos principais fabricantes de turbinas eólicas de grande porte. A principal delas é devido ao fato de não utilizar caixas de engrenagens. Porém, o impacto na rede elétrica com a conexão de tal configuração deve ser minimizado melhorando as condições operativas no ponto de conexão da fazenda eólica. Desta forma, o projeto em questão visa investigar formas de diminuir os impactos negativos causados e melhorar a estabilidade do sistema, principalmente, no ponto de conexão à rede elétrica Portanto, o projeto de pesquisa deste mestrado está relacionado ao desenvolvimento de modelos computacionais que representem tal tecnologia, considerando os principais componentes e controles utilizando o software de simulação PSCAD. Também são incluídos novos métodos de controle e elementos adicionais que melhoram a confiabilidade e o nível de penetração de parques eólicos com geradores a ímãs permanentes. Ressalta-se que tais modelos não estão disponíveis de forma completa no software citado acima, portanto foram desenvolvidos partindo de modelos genéricos existentes. Todas as partes do modelo foram realizadas com elementos básicos acessíveis em qualquer programa de simulação, de modo que qualquer engenheiro ou pesquisador possa programar este mesmo modelo em qualquer software. Esta dissertação começa com uma breve descrição do modelo desenvolvido, incluindo o modelo aerodinâmico das turbinas eólicas, o controle do conversor do lado do gerador, o controle do conversor do lado da rede e o sistema de proteção do link de corrente contínua. Com o modelo desenvolvido, analisa-se a operação do gerador síncrono a imãs permanentes durante contingências na rede. A aplicação de um sistema avançado de armazenamento de energia e a possibilidade de suporte de frequência à rede elétrica também foram desenvolvidos e analisados. Considerando os resultados obtidos, podemos verificar que a conexão de parques eólicos equipados com geradores síncronos com excitação a ímãs permanentes pode trazer benefícios para a rede elétrica, quando o seu potencial de controle e de operação é utilizado. Mais detalhes podem ser verificados nos capítulos a seguir. / This master\'s project aims to study the behavior of wind turbines with Permanent Magnet Synchronous Generator, operating during contingencies and changes in wind speed. This configuration has many advantages compared with configurations currently used by leading manufacturers of large wind turbines. The main one is due to the fact of use smaller gearboxes or even gearless turbines. However, the impact on the electrical grid connection of this configuration should be minimized by improving the operating conditions at the connection point of the wind farm. Thus, this project aims to investigate ways to reduce the negative impacts and improve the system stability, especially at the grid connection point. This work employs the simulation software PSCAD for developing a computational model of this technology, considering the main components and controls. New control methods and additional features are included, for improving the reliability and the level of penetration of wind farms with permanent magnet generators in the power system. It is noteworthy that such models are not available in the simulation software PSCAD; therefore it was developed from existing generic models. All parts of the model were done with basic elements; as a result any engineer or researcher can program this same model in any software. This work begins with a brief description of the developed model, including: the aerodynamic model of the wind turbines, the control of the generator side converter, the control of the grid side converter and the protection system of the Link-DC. With this model, the operation of the permanent magnet synchronous generator was analyzed during network contingencies. The application of a sophisticated energy storage system for frequency support was also both developed and analyzed. The connection of wind turbines with Permanent Magnet Synchronous Generator has advantages when its potential for control and operation is used. More details can be checked in the following chapters.

Os principais objetivos deste trabalho são estudar e caracterizar as perdas em acoplamentos magnéticos a ímãs permanentes, quando da existência de uma barreira de material condutor entre seus rotores. Tais perdas são originadas da circulação de correntes parasitas de Foucault na barreira e implicam um torque resistivo ao torque transmitido pelo acoplamento, diminuindo, dessa maneira, a eficácia de sua transmissão. Com este estudo pretendeu-se investigar também a influência desse efeito resistivo na curva característica do acoplamento, ou seja, na curva torque em função do deslocamento angular entre os rotores. A determinação dessa influência da placa condutora no comportamento do acoplamento magnético é de suma importância, uma vez que permite seu correto dimensionamento em aplicações como bombas seladas e agitadores. Para a determinação da influência da barreira, recorreu-se a uma abordagem analítica para o cálculo das perdas geradas pelas correntes parasitas, que são induzidas na placa condutora. Desta forma, foi possível obter o torque resistivo em função dos parâmetros construtivos do acoplamento e da velocidade de rotação. A validação da metodologia empregada será feita pela comparação dos resultados teóricos com os experimentais, através de ensaios num protótipo já construído. / The main objectives of this work are to study and to determine losses in permanent magnet couplings in the presence of a conductive barrier between its rotors. These losses are originated from eddy currents that circulate in the barrier and entail a resistive torque to the torque that is transmitted by the coupling and therefore, reduces the efficiency of its transmission. With this study, it was also intended to investigate such resistive effect influence in the coupling characteristic curve, i.e. in the torque versus angular shift between rotors curve. The determination of the conductive barrier influence on the magnetic coupling behavior is of major importance, since it allows the correct designing in applications as sealed pumps and magnetic stirrers. In order to determine the barrier influence, an analytical approach was used in order to calculate the losses generated by the eddy current circulation, which are induced in the conductive wall. As a result, it was possible to obtain the resistive torque as a function of the magnet coupling geometrical parameters and angular speed. The validation of the employed methodology will be made comparing the theoretical results with the experimental ones, obtained from tests in the existing prototype.

Il existe actuellement un important besoin en dispositifs électroniques dans le domaine des longueurs d’ondes millimétriques, tels que les circulateurs et les isolateurs fonctionnant dans la gamme de fréquence 30-100 GHz. Les aimants permanents qui garantissent la propagation de l’onde électromagnétique dans ces dispositifs comportent très généralement des éléments terres rares. En raison du coût à l’acquisition de ces éléments, d’une part, ainsi que de leur coût environnemental d’autre part, il existe une demande d’aimants permanents produits sans terres rares. Les ferrites durs peuvent présenter les propriétés demandées pour une intégration dans les dipositifs micoondes non réciproques. Ainsi, les particules de ferrite de baryum (BaM) possèdent un champ d’anisotropie magnétocristallin important, dirigé selon l’axe de facile aimantation. Un matériau autopolarisé, constitué d’un empilement de ces particules, peut donc présenter une aimantation permanente d’intensité suffisante pour les applications visées. De nombreuses méthodes d’élaboration de tels matériaux ont été mises au point. Cependant les mises en oeuvre de ces méthodes sont contraignantes. En revanche, nous avons mis au point dans le présent travail un processus de réalisation de ferrites de BaM massifs autopolarisés, dont l’aspect technologique est simple (basé sur des méthodes de chimie douce et des traitements thermiques adaptés), et très abordable financièrement. Les résultats obtenus sont très compétitifs (aimantation rémanente normalisée MR/MS comprise entre 0.87 et 0.90. Le champ coercitif HC atteint la valeur de 303 kA/m, rendant le matériau peu sensible aux effets démagnétisants), et permettent d’envisager la production de ces matériaux en vue d’applications à des fréquences allant jusqu’à 55 GHz. / Presently, there is a critical need for millimeter wave devices, among which are non-reciprocal devices such as isolators and circulators, which operate in the frequency range from about 30 GHz to 100 GHz.Permanent magnets that ensure the propagation of the wave in such devices are for long based on rare-earth elements. Nowadays, the escalation of rare earths cost encourages to look for alternative materials containing much less, or no, rare earth elements selected from the most common and most available. Alternatively, hard ferrites may show the required potential for integration into non-reciprocal microwave devices. Barium ferrite (BaM) is a wellknown, high-performance, permanent magnet material with a large magneto-crystalline anisotropy along the c-axis of its hexagonal structure. A suitable form of barium ferrite for mm-wave applications is a magnetically oriented bulk material.Several constraining processing techniques were therefore set up to perform the alignment and compaction of plate hexaferrite particles. In contrast to these methods, the present study demonstrates the feasibility of simple alternative ways to provide highly oriented bulk compacts made of BaM particles. In the present work efficient and inexpensive chemical processes (co-precipitation, dry mixing and wet mixing) are presented that produces highly oriented bulk compacts made of Barium hexaferrites (BaM) particles. Hysteresis loops that display very competitive squarenesses between 0.87 and 0.90 (normalized remanent magnetization) and coercivity as high as 303 kA/m are obtained. The sensitivity to demagnetizing effects is therfore reduced. These properties make these BaM bulk ferrite materials suitable for selfbiased applications at frequencies up to 55 GHz.

Este trabalho apresenta a aplicação da teoria de Controle Robusto H-infinito em modelo não linear de sistema de suspensão ativa com Atuador Tubular de Ímã Permanente (ATIP). Os principais objetivos na aplicação dos sistemas ativos de suspensão são a obtenção de melhores níveis de conforto do usuário e dirigibilidade do veículo em relação aos sistemas de suspensão passivo e semi-ativo, e a manutenção dos limites de deslocamento da suspensão. Inicialmente, são apresentados os modelos de suspensão ativa de um quarto de carro e carro completo, utilizados respectivamente como planta para o projeto dos controladores H-infinito e como modelo para as simulações dos sistemas de suspensão em malha fechada. Em seguida, o conjunto de controladores H-infinito e desenvolvido, baseado em especificações de projeto definidas, para posterior avaliação e comparação dos sistemas projetados. Verificações de robustez dos sistemas de suspensão ativos, utilizando-se da Análise-µ como ferramenta de avaliação, são feitas em conjunto com as análises de desempenho de cada sistema. A avaliação de desempenho dos sistemas é realizada tanto no domínio do tempo (avaliando-se angulações, velocidades, acelerações, defexões e energia do sistema) quanto no domínio da frequência (através da análise de densidade espectral de potência, ou Power Spectral Density (PSD), das acelerações verticais do veículo e do esforço de controle do atuador). A excitação do sistema é realizada por meio de distúrbios impostos às posições das rodas, dos tipos determinístico e estocástico, representativos de condições reais da aplicação de um veículo. O conjunto de controladores desenvolvido neste trabalho apresenta resultados satisfatórios para distúrbios de entrada do tipo determinísticos e estocásticos, com ganhos de desempenho dos sistemas de suspensão ativa em relação ao sistema passivo de referência de até 34; 92% para a métrica de avaliação do conforto do usuário, de 17; 23% para a métrica da manutenção da dirigibilidade, e de 43; 48% e 30; 10% para as métricas das acelerações dos ângulos de arfagem e de rolagem da carroceria, respectivamente. / This work presents the application of the H-infinity robust control theory into a non-linear model of active suspension system with a Tubular Permanent Magnet Actuator (TPMA). The main objectives in the application of the active suspension systems are the achievement of greater levels of comfort to the user and of road holding for the vehicle, when compared to the passive and semi-active suspension systems, besides the maintenance of suspension displacement limits. Initially are presented the active suspension models of a quarter-car and of a full-car, used respectively as a plant for the design of the H-infinity controllers and as a model for the simulations of the closed loop suspension systems. In the sequel, the controllers are developed, based on properly defined specifications, for further evaluation and comparison among the systems designed. Robustness verications of the active suspension systems, using the µ-Analysis as assessment tool, are performed together with the performance analysis of each system. The performance evaluation of the systems is performed both in the time domain (assessing angles, speeds, accelerations, dections and the energy of the system) and in the frequency domain (through the analysis of Power Spectral Density (PSD) of vertical accelerations of the vehicle and the control efort of the actuator). The excitation of the system is carried out by means of disturbances imposed to the vertical wheel\'s positions. Those disturbances are of deterministic and stochastic types, which are representatives of real working conditions of the vehicle. The set of controllers developed in this work presents satisfactory results for both deterministic and stochastic input disturbances, with performance gains of the active suspension systems in relation to the passive system of reference up to 34; 92%, 17; 23%, 43; 48% and 30; 10% respectively to the assessment metrics of user comfort, handling maintenance and acceleration of the pitch and roll angles of the chassis.