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L'effet antalgique de stimulations corticales non invasives par stimulation magnétique transcrânienne répétée (rTMS). : Confirmation de l'intérêt antalgique de la stimulation du cortex moteur primaire et exploration du potentiel d'une nouvelle cible corticale : le cortex somatosensoriel secondaire / The analgesic effect of non-invasive cortical stimulations by repeated transcranial magnetic stimulation (rTMS) : The analgesic interest of primary motor cortex stimulation and the potential of a new cortical target : the secondary somatosensory cortexQuesada, Charles 05 December 2018 (has links)
La douleur neuropathique centrale est une séquelle fréquente après une atteinte du système nerveux centrale. L’impact négatif de ces douleurs sur la qualité de vie des patients ainsi que l’efficacité modérée (40% de répondeurs) des traitements de 1ère intention font de la recherche de thérapies alternatives un enjeu clinique majeur. Depuis plusieurs années, la technique de stimulation magnétique transcrânienne répétée (rTMS) est présentée comme un outil intéressant pour soulager ce type de douleur sans pour autant que son efficacité clinique n’ait été clairement démontrée. Ce travail de thèse s’attache donc à investiguer l’efficacité de la rTMS pour traiter les douleurs neuropathiques centrales. Nous avons dans un premier temps mis en évidence, dans une étude observationnelle, qu’un minimum de 4-5 séances sur deux mois de rTMS à 20HZ sur le cortex moteur primaire (M1) produit un soulagement de la douleur pouvant se maintenir même après une année de stimulation. Afin d’écarter un possible effet placebo, nous avons objectivé l’efficacité antalgique en répliquant ce protocole dans une étude clinique randomisée, contrôlée, en groupes croisés. Les résultats obtenus confirment ceux de l’étude observationnelle puisque que l’effet antalgique de la rTMS active était significativement supérieure à la stimulation placebo pour le critère principal (% de soulagement, +33%) ou l’intensité douloureuse (EVA, -19%), avec 47% de répondeurs. Pour les patients non-répondeurs à la stimulation de M1, nous avons également testé contre placebo, dans une étude randomisée, l’efficacité d’une cible alternative : le cortex somesthésique secondaire (S2). Aucun des patients n’a été soulagé par cette stimulation mais le faible effectif de cette étude ne nous permet pas de conclure définitivement à l’absence d’effet antalgique. Enfin, compte tenu de l’utilisation croissante de nouvelles cibles corticales plus profondes, nous avons à partir de l’enregistrement du champ-magnétique produit par la rTMS dans différents milieux (l’air et modèle ex-vivo), proposé un modèle de distribution de ce champ selon la profondeur de la cible et le type de sonde de stimulation utilisé. Pour conclure, ces travaux objectivent l’effet antalgique de 4 séances de rTMS à 20Hz de M1 sur les douleurs neuropathiques centrales, validant ainsi son utilisation lorsque les traitements de 1ère intention ont échoué. Les résultats obtenus par la stimulation de S2 ainsi que par la modélisation du champ magnétique doivent permettre à de futures études d’explorer de nouvelles cibles corticales pour les patients qui restent encore en échec de traitement. / Central neuropathic pain is a common sequelae after central nervous system injury. Its negative consequences on the quality of life and the moderate efficacy (40% of responders) of first-line treatments make the search for alternative therapies a major clinical challenge. For several years, the technique of repeated transcranial magnetic stimulation (rTMS) is presented as an interesting tool to relieve this sort of pain even though its clinical efficacy has not been clearly demonstrated. The aim of this thesis was to investigate the effectiveness of rTMS to relieve central neuropathic pain.We first demonstrated, in an observational study, that a minimum of 4-5 sessions over two months of rTMS at 20HZ on the primary motor cortex (M1) produces pain relief that can be maintained even after a year of stimulation. In order to rule out a possible placebo effect, we objectified the analgesic efficacy by replicating this protocol in a randomized, controlled, cross-over clinical study. The results obtained confirm those of the observational study since the analgesic effect of the active rTMS was significantly greater than the placebo stimulation for the main criterion (% of pain relief, +33%) or pain intensity (VAS, -19%), with 47% of responders. For patients who did not respond to M1 stimulation, we also tested the efficacy of an alternative target in a randomized study: the secondary somatosensory cortex (S2). None of the patients were relieved by this stimulation, but the small size of this study does not allow us to definitively conclude that there is no analgesic effect. Finally, given the increasing use of new deeper cortical targets in rTMS for pain treatment, we have from the recording of the magnetic field produced by the rTMS in different media (air and ex-vivo model), proposed a magnetic-field distribution model according to the depth of the target and the type of stimulation coils used.To conclude, this work objectify the analgesic effect of 4 rTMS sessions at 20 Hz of M1 to relieve central neuropathic pain, validating its use when first-line treatments have failed. The results obtained by S2 stimulation as well as magnetic field modeling should allow future studies to explore new cortical targets for patients who are still failing treatment
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Minimum entropy techniques for determining the period of W UMA starsMcArthur, Ian Albert 08 1900 (has links)
This MSc report discusses the attributes of W Ursae Majoris (W UMa) stars and an investigation into the Minimum Entropy (ME) method, a digital technique applied to the determination of their periods of variability. A Python code programme was written to apply the ME method to photometric data collected on W UMa stars by the All Sky
Automated Survey (ASAS). Starting with the orbital period of the binaries estimated by ASAS, this programme systematically searches around this period for the period which corresponds to the lowest value of entropy. Low entropy here means low scatter (or spread) of data across the phase-magnitude plane. The ME method divides the light curve plot area into a number of elements of the investigators choosing. When a particular orbital period is applied to this photometric data, the resulting distribution of this data in the light curve plane corresponds to a speci c number of data points in each element into which this plane has been divided. This data spread is measured and calculated in terms of entropy and the lowest value of entropy corresponds to the lowest spread of data across the light curve plane. This should correspond to the best light curve shape available from the data and therefore the most accurate orbital period available. Subsequent to the testing of this Python code on perfect sine waves, it was applied, and its results compared, to the 62 ASAS eclipsing binary stars which were investigated by Deb and Singh (2011). The method was then applied to selected stars from the ASAS data base. / Environmental Sciences / M. Sc. (Astronomy)
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Estudo das propriedades termodinâmicas do modelo de Ashkin-Teller na presença de campo magnético aleatório. / Study of thermodynamics properties of Ashkin-Teller in random magnetic fieldBernardes, Luiz Antonio Bastos 27 October 1995 (has links)
A teoria de campo médio para o modelo de Ashkin-Teller com interações ferromagnéticas de longo alcance na presença de campos magnéticos aleatórios foi desenvolvida. Isso foi conseguido através do uso do truque de réplicas para a obtenção da energia livre e do estudo analítico das equações integrais acopladas dos parâmetros de ordem, da estabilidade de suas soluções e das suas expansões para T ≤ Tc. Inicialmente, foram determinadas as expressões gerais das funções termodinâmicas do modelo no caso em que existiam três campos magnéticos aleatórios com distribuições gaussianas. Em seguida, foi examinado o caso particular do modelo com um só campo magnético aleatório na direção de Z = ‹ δ S ›. A estratégia adotada se mostrou poderosa pois possibilitou a caracterização detalhada do diagrama de fases com várias superfícies de coexistência e das linhas de pontos críticos. As equações integrais das funções termodinâmicas desse caso particular foram discutidas e resolvidas numericamente para valores especiais das constantes de interação e da variância. Para o caso particular do modelo na presença de campos magnéticos aleatórios nas direções ‹ S › e ‹ δ ›, foram determinadas e discutidas as expressões das funções termodinâmicas. Foram também obtidas as equações das superfícies de instabilidade da solução paramagnética. Foi provado que a transição entre as fases paramagnética e de Baxter é sempre de primeira ordem. Outro resultado original da tese foi a verificação da existência da simetria de dilatação e contração do modelo de Potts na presença de campos magnéticos aleatórios. Essa simetria permite que o estudo da energia livre no intervalo q∈ (1,2) forneça o comportamento termodinâmico do sistema para todo q>2. / The meanfield theory of the long range Ashkin-Teller model in random fields was developed. This was obtained by using the replica trick and the study of the coupled integral equations for the order parameters, the stability of their solutions, and their expansions for T ≤ Tc. Inicially, the expressions of the thermodynamic functions for the model in three random fields with Gaussian distributiuons were determined. After this, it was examined the particular case of the model with only one random field in the Z = ‹ δ S › direction. The strategy revealed itself powerful by the detailed characterization of the phase diagram with several coexistence surfaces and lines of critical points. The integral equations of the thermodynamic functions for this particular case were discussed and numerically solved for special values of the interaction constants and field distribution variance. For the particular case of the model with random fields in the ‹ S › and ‹ δ ›, directions, the expressions were also determined and discussed. The equations of the instability surfaces for the paramagnetic solution were obtained, and it was proved that the para-Baxter transition line is always of first order. Another original result of the thesis was the verification of the the existence of the dilatation and contration symmetry in the Potts model with random fields. This symmetry permits that the study of the free energy in the q∈(1,2) interval supplies the thermodynamics behavior of the system for q>2.
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Etude numérique et modélisation des instabilités hydrodynamiques dans le cadre de la fusion par confinement inertiel en présence de champs magnétiques auto-générés / Numerical study and modeling of hydrodynamic instabilities in the context of inertial confinement fusion in the presence of self-generated magnetic fieldsLevy, Yoann 13 July 2012 (has links)
Dans le cadre de la fusion par confinement inertiel, nous présentons une analyse des effets du champ magnétique sur le développement linéaire des instabilités de Richtmyer-Meshkov, en magnétohydrodynamique idéale d’une part, et de Rayleigh-Taylor au front d’ablation, dans les phases d’accélération et de décélération d’autre part.A l’aide d’un code linéaire de perturbation, nos simulations mono mode nous permettent de confirmer, pour l’instabilité de Richtmyer-Meshkov, la stabilisation apportée par la composante du champ magnétique parallèle au vecteur d’onde des perturbations de l’interface, dont l’amplitude oscille au cours du temps. Nous montrons que la prise en compte de la compressibilité n’apporte pas de changements significatifs par rapport au modèle impulsionnel incompressible existant dans la littérature. Dans nos simulations numériques bidimensionnelles, en géométrie plane, de l’instabilité de Rayleigh-Taylor dans la phase d’accélération, nous prenons en compte le phénomène d’auto-génération de champ magnétique induite par cette instabilité. Nous montrons qu’il est possible d’atteindre des valeurs de champ de l’ordre de quelques teslas et que la croissance de l’amplitude des perturbations transite plus rapidement vers un régime de croissance non-linéaire avec, notamment, un développement accru de la troisième harmonique. Nous proposons également une adaptation d’un modèle existant, étudiant l’effet d’anisotropie de conductivité thermique sur le taux de croissance de l’instabilité de Rayleigh-Taylor au front d’ablation, pour tenter de prendre en compte les effets des champs magnétiques auto-générés sur le taux de croissance de l’instabilité de Rayleigh-Taylor. Enfin, dans une étude numérique à deux dimensions, en géométrie cylindrique, nous analysons les effets des champs magnétiques auto-générés par l’instabilité de Rayleigh-Taylor dans la phase de décélération. Cette dernière étude révèle l’apparition de champs magnétiques pouvant atteindre plusieurs milliers de teslas sans pour autant affecter le comportement de l’instabilité de Rayleigh-Taylor. / In the context of inertial confinement fusion we investigate effects of magnetic fields on the development in the linear regime of two hydrodynamic instabilities: Richtmyer-Meshkov instability using ideal magnetohydrodynamics and ablative Rayleigh-Taylor instability in both acceleration and deceleration stages.Direct numerical simulations with a linear perturbation code enable us to confirm the stabilizing effect of the component of the magnetic field along the perturbations wave vector. The amplitude doesn’t grow linearly in time but experiences oscillations instead. The compressibility taken into account in the code does not affect predictions given by an already existing impulsive and incompressible model.As far as Rayleigh-Taylor instability is concerned we study the effects of self-generated magnetic fields that arise from the development of the instability itself. In the acceleration stage we perform two dimensional simulations in planar geometry. We show that magnetic fields of about 1T can be generated and that the instability growth transits more rapidly into nonlinear growth with the enhancement of the development of the third harmonic. We also propose an adaptation of an existing model that aims at studying thermal conductivity anisotropy effects, to take into account the effects of the self-generated magnetic fields on the Rayleigh-Taylor instability growth rate.Finally, in the deceleration stage, we perform two dimensional simulations in cylindrical geometry that take into account self-generation of magnetic fields due to the instability development. It reveals magnetic fields of about several thousands of teslas that are not strong enough though to affect the instability behavior.
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The fabrication process of microfluidic devices integrating microcoils for trapping magnetic nano particles for biological applications / Procédé de fabrication de dispositifs microfluidiques intégrant des microbobines – Piégeage de nanoparticules magnétiques pour des applications en biologieCao, Hong Ha 21 July 2015 (has links)
Le but de cette étude est de concevoir, fabriquer et caractériser une puce microfluidique afin de mettre en oeuve la capture de nanoparticules magnétiques fonctionnalisées en vue de la reconnaissance d’anticorps spécifiques (couplage d’une très grande spécificité et sensibilité). Après avoir modélisé et simulé les performances de la microbobine intégrée dans le canal de la puce microfluidique en prenant soin de limiter la température du fluide à 37°C, la capture devant être effective, le microsystème est fabriqué en salle blanche en utilisant des procédés de fabrication collective. La fabrication du microdispositif en PDMS a aussi donné lieu à l’optimisation de procédés de modification de surface afin d’assurer la ré-utilisation du microdispositif (packaging réversible) et la limitation de l’adsorption non spécifique. L’immobilisation des anticorps su les billes (300 nm) a été menée à l’intérieur du canal en utilisant un protocole de type ELISA éprouvé. Le procédé a montré qu’il était également efficient pour cet environnement puisque nous avons pu mettre ne évidence la capture de nanoparticules / In this study, a concept of microfluidic chip with embedded planar coils is designed and fabricated for the aim of trapping effectively functionalized magnetic nanobeads and immobilizing antibody (IgG type). The planar coils as a heart of microfluidic chip is designed with criterion parameters which are optimized from simulation parameters of the maximum magnetic field, low power consumption and high power efficiency by FE method. The characterization of microcoils such as effectively nanobeads (300 nm) at low temperature (<37oC) is performed and confirmed. The channel network in PDMS material is designed for matching with entire process (including mixing and trapping beads) in microfluidic chip. A process of PDMS’s surface modification is also carried out in the assemble step of chip in order to limit the non-specific adsorption of many bio substances on PDMS surface. The microfluidic chip assemble is performed by using some developed techniques of reversible packaging PDMS microfluidic chip (such as stamping technique, using non-adhesive layer, oxygen plasma combining with solvent treatment). These packaging methods are important to reused microchip (specially the bottom substrate) in many times. The immobilization of antibody IgG-type is performed inside microfluidic chip following the standard protocol of bead-based ELISA in micro test tube. The result showed that IgG antibodies are well grafted on the surface of carboxyl-beads (comparing to result of standard protocol); these grafted antibodies are confirmed by coupling them with labeled second antibody (Fab-FITC conjugation).
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An interferometric view of hot star disks / Uma visão interferométrica de discos de estrelas quentesFaes, Daniel Moser 06 October 2015 (has links)
Optical long baseline interferometry was recently established as a technique capable of resolving stars and their circumstellar environments at the milliarcsecond (mas) resolution level. This high-resolution opens an entire new window to the study of astrophysical systems, providing information inaccessible by other techniques. Astrophysical disks are observed in a wide variety of systems, from galaxies up to planetary rings, commonly sharing similar physical processes. Two particular disk like systems are studied in the thesis: (i) B He-rich stars that exhibits magnetic fields in order of kG and that trap their winds in structures called magnetospheres; and (ii) Be stars, fast rotating stars that create circumstellar viscous disks. This study uses the interferometric technique to investigate both the photosphere proper and the circumstellar environment of these stars. The objective is to combine interferometry with other observational techniques (such as spectroscopy and polarimetry) to perform a complete and well-constrained physical description of these systems. This description is accompanied by radiative transfer models performed by the HDUST code. / Interferometria óptica de longa linha de base recentemente estabeleceu-se como uma técnica capaz de resolver estrelas e seus ambientes circunstelares no nível de mili segundos de arcos (\\textit). Esta alta resolução abre uma janela inteiramente nova para o estudo de sistemas astrofísicos, fornecendo informações inacessíveis por outras técnicas. Discos astrofísicos são observados numa ampla variedade de sistemas, de galáxias à discos planetários, em geral compartilhando de processos físicos similares. Dois sistemas de discos foram estudados nesta tese: (i) o estrelas B ricas em He e que possuem campos magnéticos da ordem de kG e que confinam seus ventos em estruturas chamadas magnetosferas; e (ii) estrelas Be, estrelas de rotação rápida que criam um disco circumstelar viscoso. Este estudo usa a técnica interferométrica para investigar ambas a própria fotosfera e o ambiente circunstelar destas estrelas. O objetivo é combinar a interferometria com outras técnicas observacionais (tal como espectroscopia e polarimetria) para realizar uma descrição física completa e precisa destes sistemas. Esta descrição é acompanhada por modelos de transferência radiativa executados pelo código HDUST.
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Spin-orbit interactions for steering Bloch surface waves with the optical magnetic field and for locally controlling light polarization by swirling surface plasmons / Interactions spin-orbite pour contrôler la directivité des ondes de surface de Bloch via le champ magnétique optique et pour contrôler et sonder localement l'état de polarisation de la lumièreWang, Mengjia 13 February 2019 (has links)
Ma thèse est consacrée aux nouveaux phénomènes nano-optiques et aux dispositifs basés sur l'interaction spin-orbite de la lumière (SOI). Tout d'abord, il a été démontré un SOI uniquement piloté par le champ magnétique de la lumière permettant de diriger avec précision les ondes de surface de Bloch, offrant ainsi une nouvelle manifestation du champ magnétique optique. Ensuite, nous avons proposé et démontré le concept de nano-antenne plasmonique hélicoïdale à ondes progressives (TW-HPA), c’est-à-dire un fil hélicoïdal en or étroit alimenté optiquement par une nano-antenne dipolaire dans une configuration « end-firing ». Une telle nano-antenne a été démontrée comme la première optique de polarisation sublongueur d’onde. L’agencement de TW-HPAs à l’échelle de quelques microns a permis de convertir « à la carte » un faisceau polarisé linéairement en une distribution de faisceaux directifs présentant des polarisations différentes définies de façon déterministe par la géométrie et les dimensions des nano-antennes. Par le biais d’un couplage en champ proche de quatre nano-antennes à hélicités opposées, nous avons obtenus une optique sublongueur d’onde permettant un degré de liberté dans le contrôle de la polarisation qui est interdit avec les composants et méthodes classiques basées sur l’exploitation de matériaux biréfringents ou dichroïques, ou de métamatériaux imitant ces propriétés. / My thesis is devoted to novel nano-optical phenomena and devices based on spin-orbit interaction (SOI) of light. First, magnetic spin-locking, i.e., an SOI solely driven by the magnetic field of light, is demonstrated with Bloch surface waves. It provides a new manifestation of the magnetic light field. Then, we propose and demonstrate the concept of traveling-wave plasmonic helical antenna (TW-HPA), consisting of a narrow helical gold-coated wire non-radiatively fed with a dipolar nano-antenna. By swirling surface plasmons, the TW-HPA combines subwavelength illumination and polarization transformation. The TW-HPA is demonstrated to radiate on the subwavelength scale almost perfectly circularly polarized optical waves upon illumination with linearly polarized light. With this subwavelength plasmonic antenna, we developed strongly integrated arrays of point-light emissions of opposite handedness and tunable intensities. Finally, by coupling two couples of TW-HPAs of opposite handedness, we obtained new polarization properties so far unattainable.
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Élaboration "in-situ" par mélanges de poudres de composites à matrice métallique au cours du processus de fabrication additive / "in-situ" preperation of metal marix composites by additive manufactureing process with powder mixtureKang, Nan 14 December 2016 (has links)
La micro fusion laser d'un lit de poudre (SLM) permet la réalisation de pièces complexes avec des microstructuresfines. Cette technologie présente de nombreux avantages mais se heurte encore à une faible disponibilité des poudres d'alliages. En SLM, la pièce est d'abord conçue par CAO (conception assistée par ordinateur), puis construite couche par couche avec un faisceau laser commandé par un ordinateur. Dans ce cadre, le travail effectué dans cette thèse a consisté à étudier et à développer une nouvelle méthode pour réaliser des pièces en alliages et en composites à partir de mélanges de poudres élémentaires, ouvrant ainsi la voie à une grande variété de compositions.Au niveau expérimental le choix s'est porté sur le système aluminium-silicium avec différentes teneurs en silicium (12, 18 et 50% en poids). L'effet de l'ajout d'un champ magnétique statique a aussi été proposé comme un outil supplémentaire de contrôle de la microstructure.Dans le processus de fabrication de pièces par SLM la puissance du laser et la vitesse de balayage déterminent au premier chef la densité, la microstructure, la composition des phases et les propriétés mécaniques du produit. Une analyse systématique de l'effet de ces paramètres sur l'alliage Al - Si fabriqué par SLM à partir de mélanges de poudres est présentée. Des alliages ont été ainsi obtenus pour plusieurs domaines de composition visés correspondant à des applications pratiques (structures légères, système tribologique, emballage électronique, ...).Les microstructures fines obtenues grâce à la solidification rapide des matériaux fondus conduit à des propriétés quise comparent de façon favorable à celles obtenues avec les techniques classiques d'élaboration et de mise en oeuvre. / As a new manufacturing technology, Selective laser melting (SLM) has a large potential in the manufacturing of complex parts with ultrafine microstructure.Selective laser melting has many significant advantages over traditional manufacturing methods but still faces a low availability of powder materials. With SLM, the part is firstly designed via 3D computer-aided design (CAD)), then built layer-by-layer with a high energy computer-controlled laser beam The work done in this study was therefore aiming at developing a new way to obtain alloys and composites directly from elemental powder mixtures with a large composition flexibility.Experimentally the choice was made of the aluminum-silicon system with several silicon contents (12, 18, 50 wt. %).Adding a static magnetic field was also considered as an additional way to control the microstructure. When parts are manufactured by SLM, laser power and scanning speed are the main parameters determining the density, microstructure, phase composition and mechanical properties. A systematic analysis of the role of these parameter on the manufacturing of Al - Si alloys by SLM from mixtures of powders was therefore conducted. Al - Si alloys with a very fine microstructure were thus obtained for several composition ranges corresponding to practical applications (lightweight structures, high wear resistance alloys, electronic packaging material, ...). The properties of the materials obtained in this way, according to the performed characterizations, compares favorably with those obtained via the conventional production technologies.
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Novel efficiency evaluation methods and analysis for three-phase induction machinesMcKinnon, Douglas John, Electrical Engineering & Telecommunications, Faculty of Engineering, UNSW January 2005 (has links)
This thesis describes new methods of evaluating the efficiency of three-phase induction machines using synthetic loading. Synthetic loading causes the induction machine to draw full-load current without the need to connect a mechanical load to the machine's drive shaft. The synthetic loading methods cause the machine to periodically accelerate and decelerate, producing an alternating motor-generator action. This action causes the machine, on average over each synthetic loading cycle, to operate at rated rms current, rated rms voltage and full-load speed, thereby producing rated copper losses, iron loss and friction and windage loss. The excitation voltages are supplied from a PWM inverter with a large capacity DC bus capable of supplying rated rms voltage. The synthetic loading methods of efficiency evaluation are verified in terms of the individual losses in the machine by using a new dynamic model that accounts for iron loss and all parameter variations. The losses are compared with the steady-state loss distribution determined using very accurate induction machine parameters. The parameters were identified using a run-up-to-speed test at rated voltage and the locked rotor and synchronous speed tests conducted with a variable voltage supply. The latter tests were used to synthesise the variations in stator leakage reactance, magnetising reactance and the equivalent iron loss resistance over the induction machine's speed range. The run-up-to-speed test was used to determine the rotor resistance and leakage reactance variations over the same speed range. The test method results showed for the first time that the rotor leakage reactance varied in the same manner as the stator leakage and magnetising reactances with respect to current. When all parameter variations are taken into account there is good agreement between theoretical and measured results for the synthetic loading methods. The synthetic loading methods are applied to three-phase induction machines with both single- and double-cage rotors to assess the effect of rotor parameter variations in the method. Various excitation waveforms for each method were used and the measured and modelled efficiencies compared to conventional efficiency test results. The results verify that it is possible to accurately evaluate the efficiency of three-phase induction machines using synthetic loading.
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Etude microscopique de systèmes fermioniques finis : corrélations dans les noyaux atomiques et gaz d'électrons confinés par un potentiel harmonique en présence d'un champ magnétiqueNaidja, Houda 09 January 2009 (has links) (PDF)
Dans le cadre d'une approche Higher Tamm Dancoff Approximation notée HTDA, nous avons étudié les corrélations vibrationnelles de type quadrupole, avec et sans appariement. Le champ moyen a été déterminé dans le cadre d'une approche microscopique utilisant l'interaction effective de Skyrme. Une interaction résiduelle schématique de type delta plus quadrupole-quadrupole, tenant compte en particulier de l'appariement neutron-proton T=0 et T=1 a été utilisé. Les résultats obtenus pour la résonance géante quadrupolaire isoscalaire du noyau Ca40 ont été comparés aux données expérimentales et à d'autres résultats théoriques. Nous avons également étudié un gaz de fermions piégés dans un potentiel d'oscillateur harmonique à 2D, et à température nulle, en présence d'un champ magnétique uniforme. Les expressions exactes des quelques grandeurs thermodynamiques ont été dérivées à partir de la matrice densité de Bloch.
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