Most smart actuators exhibit rate-dependant hysteresis when the working frequency is higher than 5Hz. Although the Preisach model has been a very powerful tool to model the static hysteresis, it cannot be directly used to model the dynamic hysteresis. Some researchers have proposed various generalizations of the Preisach operator to model the rate-dependant hysteresis, however, most of them are application-dependant and only valid for low frequency range. In this thesis, a first-order dynamic relay operator is proposed. It is then used to build a novel dynamic Preisach model. It can be used to model general dynamic hysteresis and is valid for a large frequency range. Real experiment data of magnetostrictive actuator is used to test the proposed model. Experiments have shown that the proposed model can predict all the static major and minor loops very well and at the same time give an accurate prediction for the dynamic hysteresis loops. The controller design using the proposed model is also studied. An inversion algorithm is developed and a PID controller with inverse hysteresis compensation is proposed and tested through simulations. The results show that the PID controller with inverse compensation is good at regulating control; its tracking performance is really limited (average error is 10 micron), especially for high frequency signals. Hence, a simplified predictive control scheme is developed to improve the tracking performance. It is proved through experiments that the proposed predictive controller can reduce the average tracking error to 2 micron while preserve a good regulating performance.

A pulse hysteresisgraph system was constructed capable outputting current source and voltages source waveforms. MATLAB scripts were created to analyze the collected data. Three toroidal samples of soft magnetic materials were prepared. Theoretical modeling was done to predict the variation of effective applied magnetic fields inside the toroids from ideal assumptions due to three effects: wire spacing, cylindrical spreading, and eddy current generated fields. Data was collected under sinusoidal voltage source and sinusoidal current source excitation at 1 kHz. Large differences in core loss were noted especially at higher field excitations. Core loss under sinusoidal current source excitation was found to always be greater than or equal to core loss under sinusoidal voltage source. Normal magnetization curves under sinusoidal current and voltage source excitation were also compared. Significant differences were apparent in the magnetization curves of one sample toroid, and slight differences noted in the curves of the other two samples. Eddy currents were offered as a primary mechanism for the difference in core loss between sinusoidal current source and sinusoidal voltage source. A formula to predict the relative eddy current losses to be expected from an arbitrary, periodic voltage waveform shape is given. / text

In order to design a power transformer it is important to understand its internal electromagnetic behaviour. That can be obtained by measurements on physical transformers, analytical expressions and computer simulations. One benefit with simulations is that the transformer can be studied before it is built physically and that the consequences of changing dimensions and parameters easily can be assessed. In this thesis a time-domain transformer model is presented. The model includes core phenomena as magnetic static hysteresis, eddy current and excess losses. Moreover, the model comprises winding phenomena as eddy currents, capacitive effects and leakage flux. The core and windings are first modelled separately and then connected together in a composite transformer model. This results in a detailed transformer model. One important result of the thesis is the feasibility to simulate dynamic magnetization including the inhomogeneous field distribution due to eddy currents in the magnetic core material. This is achieved by using a Cauer circuit combined with models for static and dynamic magnetization. Thereby, all magnetic loss components in the material can be simulated accurately. This composite dynamic magnetization model is verified through experiments showing very good correspondence with measurements. Furthermore, the composite transformer model is verified through measurements. The model is shown to yield good correspondence with measurements in normal operation and non-normal operations like no-load, inrush current and DC-magnetization. / QC20100708

<p>In order to design a power transformer it is important to understand its internal electromagnetic behaviour. That can be obtained by measurements on physical transformers, analytical expressions and computer simulations. One benefit with simulations is that the transformer can be studied before it is built physically and that the consequences of changing dimensions and parameters easily can be tested.</p><p>In this thesis a time-domain transformer model is presented. The model includes core losses as magnetic static hysteresis, eddy current and excess eddy current losses. Moreover, the model comprises winding losses including eddy currents, capacitive effects and leakage flux. The core and windings are first modelled separately and then connected together in a total transformer model. This results in a detailed transformer model.</p><p>One important result of the thesis is the possibility to simulate dynamic hysteresis including the eddy current shielding in the magnetic core material. This is achieved by using Cauer circuit combined with analytical expression for static and dynamic hysteresis. Thereby, all magnetic loss components in the material can be simulated accurately. This dynamic hysteresis model is verified through experiments showing very good agreement.</p>

De nos jours, la modélisation numérique constitue un outil indispensable pour le prototypage de convertisseurs électromagnétiques. Les matériaux magnétiques jouent un rôle essentiel dans la conversion de l’énergie, il est donc nécessaire de maîtriser leur comportement et leur représentation. L’objectif de ce travail s’inscrit dans ce cadre et s’attache à élaborer des lois réalistes de comportement de matériaux afin de les inclure dans des simulateurs de circuits. Concernant le comportement statique, le modèle de Jiles-Atherton a été implémenté puis adapté, simplifié et modifié afin d’en améliorer la précision et l’implémentation. La modélisation dynamique du matériau a été effectuée grâce au modèle DWM élaboré au laboratoire Ampère. Ce modèle intègre les effets dynamiques excédentaires grâce à une loi « dynamique de matériau » implémentée au sein de l’équation de diffusion magnétique. Ce modèle a été ensuite homogénéisé afin d’en améliorer son implémentation future dans un simulateur de circuit. Chacun des différents modèles a été testé et validé sur plusieurs échantillons. / Nowadays, numerical modeling is an indispensable tool for the prototyping of electromagnetic converters. Magnetic materials play an essential role into the energy conversion so it is necessary to control their behavior as well as their modeling. The objective of this work is to develop realistic laws of material behavior for circuit simulators use. Regarding the static behavior, the Jiles-Atherton model has been implemented and adapted, simplified and modified to improve accuracy and implementation. Dynamic modeling of the material was performed using the model DWM developed into the Ampere laboratory. This model incorporates the excedentary dynamic effects thanks to a "dynamical material law" implemented into the magnetic diffusion equation. Then this model was homogenized to improve its future implementation in a circuit simulator. Each of the different models has been tested and validated on several samples.

Helicopters suffer from severe vibration levels compared to fixed-wing aircraft. The main source of vibration in a helicopter is the main rotor which operates in a highly unsteady aerodynamic environment. Active vibration control methods are effective in helicopter vibration suppression since they can adapt to various flight conditions and often involve low weight penalty. One such method is the actively controlled flap (ACF) approach. In the ACF approach, a trailing-edge flap (TEF) located in each rotor blade is deflected at higher harmonics of rotor frequency to reduce vibratory loads at the rotor hub. The ACF approach is attractive because of its simplicity in practical implementation, low actuation power and enhanced airworthiness, since the flap control is independent of the primary control system. Multiple-flaps are better suited to modify the aerodynamic loading over the rotor blade and hence offer more flexibility compared to a single flap. They also provide the advantage of redundancy over single-flap configuration. However, issues like the number, location and size of these individual flaps need to be addressed based on logic and a suitable performance criteria. Preliminary studies on a 4-bladed hingeless rotor using simple aerodynamic and wake models predict that multiple-flaps are capable of 70-75 percent reduction in hub vibration levels. Numerical studies confirm that multiple-flaps require significantly less control effort as compared to single-flap configuration for obtaining similar reductions in hub vibration levels. Detailed studies include more accurate aerodynamic and wake models for the rotor with TEF’s. A simple and efficient flap control algorithm is chosen from literature and modified for use in multiple-flap configuration to actuate every flap near complete authority. The flap algorithm is computationally efficient and performs creditably at both high and low forward speeds. This algorithm works reasonably well in the presence of zero-mean Gaussian noise in hub load data. It is also fairly insensitive to small changes in plant parameters, such as, blade mass and stiffness properties. The optimal locations of multiple TEF’s for maximum reduction in hub vibration are determined using Response Surface methodology. Piezoelectric stack actuators are the most promising candidates for actuation of full-scale TEF’s on helicopter rotors. A major limitation of piezoelectric actuators is their lack of accuracy due to nonlinearity and hysteresis. The hysteresis in the actuators is modeled using the classical Preisach model (CPM). Experimental data from literature is used to estimate the Preisach distribution function. The hub vibration in this case is reduced by about 81-86 percent from baseline conditions. The performance of the ACF mechanism can be further improved by using an accurate hysteresis compensation scheme. However, using a linear model for the piezoelectric actuator or an inaccurate compensation scheme can lead to deterioration in ACF performance. Finally, bench-top experiments are conducted on a commercially available piezostack actuator (APA500L from CEDRAT Technologies) to study its dynamic hysteresis characteristics. A rate-dependent dynamic hysteresis model based on CPM is used to model the actuator. The unknown coefficients in the model are identified using experiments and validated. Numerical simulations show the importance of modeling actuator hysteresis in helicopter vibration control using TEF’s. A final configuration of multiple flaps is then proposed by including the effects of actuator hysteresis and using the response surface approach to determine the optimal flap locations. It is found that dynamic hysteresis not only affects the vibration reduction levels but also the optimal location of the TEF's.

Les travaux de cette thèse portent sur une nouvelle structure de machine à double excitation (MSDE) pour l'application des véhicules hybrides et électriques. Ce type de machine, ayant deux sources d'excitation, bénéficie un degré de liberté supplémentaire et un contrôle facile sur le flux. Grâce à ce degré de liberté, la machine peut être dimensionnée de manière que son meilleur rendement coïncide avec la zone de fonctionnement la plus sollicitée de la machine. Cette nouvelle structure a fait l'objet principal de ce mémoire. Le fonctionnement de la MSDE est présenté dans les deux premiers chapitres. La machine est dimensionnée suivant un cahier des charges pour véhicule hybride. La validation expérimentale a confirmé le bon fonctionnement de la structure et montré son intérêt. Une autre problématique dans le dimensionnement de la machine est l'aspect thermique car les machines sont devenues de plus en plus compactes et puissantes. Une estimation correcte des pertes est indispensable pour évaluer correctement les performances de la machine. C'est la raison pour laquelle on a décidé de consacrer une partie de cette thèse à la modélisation des pertes fer, dont l'estimation n'est pas évidente. / The PhD work deals with a new structure of hybrid excited synchronous machine (MSDE) for the application of hybrid and electric vehicles. This kind of machine, with two excitation sources, benefits an additional degree of freedom and an easy control of flux. Due to this degree of freedom, the machine can be designed in the way that its best efficiency coincide with the most solicited operating zone. This new machine structure is the main subject of this study. The principle of this MSDE is presented in the first two chapters. The machine is then designed according to the specifications for an hybrid vehicle. The experimental validation has confirmed the proper functioning of the structure and shown its interest. Another important subject in the machine sizing is the thermal aspect because our machines are becoming more and more compact and powerful. A correct estimation of the iron loss is essential for evaluating correctly the machine performances. That's why we have decided to dedicate a part of this study to the modeling of iron loss, of which the estimation is not evident.

Depuis longtemps, les dispositifs ou systèmes électromagnétiques sont omniprésents dans les milieux industriel et domestique. Le circuit magnétique de ces systèmes est un des éléments clefs d’une conversion énergétique efficace. Outre l’optimisation de la géométrie du circuit magnétique, la maîtrise de l’efficacité énergétique passe par l’utilisation de matériaux magnétiques performants et par une connaissance approfondie de leur comportement, notamment sous contraintes élevées comme les températures et fréquences élevées que l’on rencontre de plus en plus aujourd’hui. Notre travail s’intègre dans le cadre des recherches menées par l’équipe matériaux du laboratoire AMPERE, notamment sur les modèles comportementaux de matériaux magnétiques. Partant de nombreuses caractérisations expérimentales en fonction de la température, nous avons développé un modèle « dynamique » adapté à différents types de matériaux ferromagnétiques, et permettant de simuler rapidement l’influence de la température sur le fonctionnement permanent et transitoire de systèmes électromagnétiques simples. Il s’appuie sur l’association des modèles d’hystérésis de Jiles-Atherton et dit « tubes de flux ». Ce modèle, et la démarche associée de couplage entre phénomènes magnétique, thermique et électrique, sont validés sur un capteur de courant et une inductance. Les résultats confirment l’importance de l’effet de la température sur les performances des systèmes, et la pertinence de disposer d’un tel modèle pour optimiser ces systèmes / Since a long time, systems and electrical devices are everywhere in the industrial and domestic environments. The magnetic core of these systems is a key for achieving energy conversion efficiency. Apart from the geometry optimization, high performance materials are mandatory for obtaining an effective energy conversion, as well as deep knowledge of their behaviour. The choice of materials is even more important when strong constraints are imposed, like high temperature and high frequency, which are more and more met nowadays. Our work is taken on in the context of the research activity on the modeling of the behaviour of magnetic materials of the “materials” team of AMPERE-Lab. Starting from a large number of experimental characterizations of materials at different temperatures, we have developed a “dynamic” model adapted to the different kinds of magnetic materials, which allows to quickly simulate the effect of temperature on the steady-state and transient regime of simple electromagnetic systems. It is founded on using Jiles-Atherton’s hysteresis models together with the so called “flux tubes”. This modelling and the associated approach of coupling electrical, thermal and magnetic phenomena are validated on a current sensor and an inductance. The results confirm the importance of the effect of the temperature on the performances of systems, and the interest of having such a model so as to optimizing these systems

L’avènement du Génie électrique, il y a plus d’un siècle maintenant, s’est accompagné dès ses débuts, de recherche de matériaux ferromagnétiques performants pour la réalisation de l’élément central des dispositifs électromagnétiques, le circuit ou noyau magnétique. Ces matériaux, constitués initialement de fer, ont été très vite alliés au silicium, au cobalt et au nickel pour plusd’efficacité énergétique. Pour un dispositif donné, le choix d’un tel ou tel matériau passe souvent par un exercice de compromis vis-à-vis des besoins applicatifs (performances magnétiques, caractéristiques mécaniques et thermiques, etc., et bien sûr coût). La fréquence et la température de fonctionnement sont entre autres des paramètres importants. Parmi ces matériaux, les FeNi, bien qu’ils soient matures industriellement, voient toujours de nouveaux marchés s’ouvrirent à eux année après année grâce à l’attrait technique qu’ils exercent. Ce travail s'inscrit dans la continuité des recherches engagées à AMPERE sur les modèles comportementaux de matériaux magnétiques avec prise en compte des effets de la température. En effet, la recherche permanente de performances et de compacité ou intégration pour tous les dispositifs électromagnétiques soumet les circuits magnétiques à des contraintes physiques et en particulier thermiques de plus en plus sévères. Il est donc nécessaire de caractériser et modéliserprécisément les matériaux ferromagnétiques, et plus particulièrement les alliages FeNi, afin de les intégrer dans les outils de conception et d’optimisation de ces dispositifs. Pour cela, nous avons notamment dû mettre en oeuvre un dispositif expérimental adapté, et réaliser de nombreuses et longues expérimentations afin d’élaborer des modèles performants de comportement de ces matériaux. Ces modèles étudiés ou/et développés ont été ensuite testés sur une démonstrateur réel. Dans le cadre de cette thèse qui s’est déroulée en collaboration avec le Centre de Recherche du groupe APERAM, nous avons choisi une application particulièrement sensible en matière de sécurité des personnes « le système de protection différentielle » où le circuit magnétique (en alliage Fe–50%Ni ou Supra50) constitue une part très importante des performances et de la fiabilité. Enfin, de nouveaux alliages FeNi(Cr, Cu) à faible teneur en Ni (donc économiques) issus du Centre de Recherche d’APERAM ont été étudiés en vue de tester leur aptitude à remplacer le Supra50 dans ces systèmes. Le but est au final de proposer des alliages FeNi économiques aptesà la fabrication du circuit magnétique des relais de disjoncteurs différentiels à propre courant. / The advent of Electrical Engineering has been accompanied since its beginning, by the research of high performance ferromagnetic materials for the realization of the central element of electromagnetic devices, the magnetic core/circuit. These materials initially consisting of iron were alloyed with silicon, cobalt and nickel for more energy efficiency. For a given device, the material must be designed to meet the requirements of the application (magnetic performances, mechanical and thermal characteristics...and cost. The frequency and the operating temperature are, among others, important parameters to be taken into account. Among these materials, the FeNi alloys, although they are industrially mature, see new markets opened to them thanks to their certain specific characteristics and the innovations brought by the manufacturers of these materials. This work is a continuation of ongoing researches in AMPERE laboratory dealing with thebehavioral models of magnetic materials taking into account the effects of temperature. Indeed, there is a trend in a growing number of electromagnetic devices to require high performance and compactness or integration. Thus, in this context, the magnetic circuits are subjected to physical and thermal stresses that are becoming more and more stringent. It is therefore necessary to resort to the experimental characterization and modeling of the behavior of ferromagnetic materials, particularly the FeNi alloys, in order to integrate them into the design and optimization tools of these devices. To do so, we have implemented an appropriate experimental bench, andachieve many and long experiments to develop advanced behavioral models of these materials. These models were then tested on a particularly sensitive application in the field of safety of persons, the differential protection system where the magnetic circuit (of Fe-50% Ni or Supra50) is a very important part of performance and reliability. Finally, new low Ni content FeNi (Cr, Cu) alloys provided by Aperam Research Center in Imphy, were studied in order to test their ability to replace the usual Supra50 alloy in these systems. The final aim is to propose new economic FeNi alloys suitable for the manufacture of the magnetic circuit of industrial ground fault circuit-breaker relay.

In order to design a power transformer it is important to understand its internal electromagnetic behaviour. That can be obtained by measurements on physical transformers, analytical expressions and computer simulations. One benefit with simulations is that the transformer can be studied before it is built physically and that the consequences of changing dimensions and parameters easily can be tested. In this thesis a time-domain transformer model is presented. The model includes core losses as magnetic static hysteresis, eddy current and excess eddy current losses. Moreover, the model comprises winding losses including eddy currents, capacitive effects and leakage flux. The core and windings are first modelled separately and then connected together in a total transformer model. This results in a detailed transformer model. One important result of the thesis is the possibility to simulate dynamic hysteresis including the eddy current shielding in the magnetic core material. This is achieved by using Cauer circuit combined with analytical expression for static and dynamic hysteresis. Thereby, all magnetic loss components in the material can be simulated accurately. This dynamic hysteresis model is verified through experiments showing very good agreement. / QC 20101116