Ao longo das últimas décadas, o advento de geradores síncronos distribuídos têm modificado significativamente a operação dinâmica de sistemas de distribuição. Características dinâmicas que antes eram típicas de sistemas de transmissão estão agora também presentes em sistemas de distribuição. Problemas relacionados a oscilações eletromecânica mal amortecidas, um dos focos de análise do estudo da estabilidade a pequenas perturbações, podem agora afetar também os sistemas de distribuição devido à inserção de geradores síncronos. Ferramentas usualmente utilizadas em sistemas de transmissão para a análise de tais oscilações não são completamente adequadas para analisar os fenômenos que ocorrem nos sistemas de distribuição com geração distribuída, devido a características peculiares desses sistemas, tais como o desequilíbrio de suas fases. Assim, essa pesquisa propõe um procedimento alternativo para analisar a estabilidade a pequenas perturbações de sistemas de distribuição, através da aplicação de técnicas de estimação modal. Abordam-se duas técnicas de estimação modal: os métodos de Prony e o ESPRIT. O primeiro método consiste em uma ferramenta já consagrada para a identificação de oscilações eletromecânicas de baixa frequência. Enquanto o segundo é uma t´técnica usualmente aplicada em análise de transitórios com desempenho satisfatório no contexto de qualidade de energia. Simulações não lineares são realizadas no software ATP, inicialmente sobre um sistema trifásico equilibrado e tais técnicas são aplicadas e comparadas, tornando possível a validação cruzada de ambos os métodos na identificação do modo eletromecânico do sistema. Na sequência, simulações são realizadas em um um sistema trifásico desequilibrado, permitindo avaliar o efeito do desbalanço da carga sobre as oscilações eletromecânicas, sendo essa uma das maiores contribuições desse trabalho. A principal conclusão adquirida é o fato de que um Power System Stabilizer (PSS) pode ser usado para mitigar os impactos prejudiciais das oscilações eletromecânicas em um gerador síncrono distribuído, sendo que esse PSS pode ser projetado a partir de técnicas típicas, assumindo um funcionamento equilibrado desse gerador, e ainda assim ter um desempenho satisfatório para os casos desequilibrados estudados. / Over the last few decades, the advent of distributed synchronous generators has significantly modified the operation and dynamics of distribution systems. Dynamic behaviors that were typical of transmission systems are now also present in distribution systems. Problems related to poorly damped electromechanical oscillations, the focus of small-signal stability studies, can now also affect the distribution systems due to the insertion of synchronous generators. Tools usually employed in large systems for the analysis of these oscillations are not completely appropriate to analyze this phenomena in distribution systems with distributed generation, due to particular characteristics of these systems, such as load imbalance. Therefore, this research proposes an alternative procedure to analyze the small-signal stability of distribution systems, through the application of modal estimation techniques. Two modal estimation techniques are used: the Prony and ESPRIT methods. The former consists of a well-established tool for identifying low-frequency oscillations and the latter was chosen due to its satisfactory performance in works related to power quality, where it is applied in transient analysis. Initially, both modal estimation techniques are applied to the results of nonlinear simulations performed in the Alternative Transients Program for balanced three-phase systems. The modes identified by both techniques exhibit a close match, which provides a cross validation between these techniques. In the sequence, simulations are performed in three-phase unbalanced systems, allowing an evaluation of the effect of load imbalance on the electromechanical oscillations (which is another major contribution of this work). Furthermore, it is concluded from the obtained results that a Power System Stabilizer, designed under the assumption of a balanced operation of the distribution system, can be effectively used to mitigate the detrimental effects of the poorly damped oscillations even when the system operates under unbalanced load conditions.

Ao longo das últimas décadas, o advento de geradores síncronos distribuídos têm modificado significativamente a operação dinâmica de sistemas de distribuição. Características dinâmicas que antes eram típicas de sistemas de transmissão estão agora também presentes em sistemas de distribuição. Problemas relacionados a oscilações eletromecânica mal amortecidas, um dos focos de análise do estudo da estabilidade a pequenas perturbações, podem agora afetar também os sistemas de distribuição devido à inserção de geradores síncronos. Ferramentas usualmente utilizadas em sistemas de transmissão para a análise de tais oscilações não são completamente adequadas para analisar os fenômenos que ocorrem nos sistemas de distribuição com geração distribuída, devido a características peculiares desses sistemas, tais como o desequilíbrio de suas fases. Assim, essa pesquisa propõe um procedimento alternativo para analisar a estabilidade a pequenas perturbações de sistemas de distribuição, através da aplicação de técnicas de estimação modal. Abordam-se duas técnicas de estimação modal: os métodos de Prony e o ESPRIT. O primeiro método consiste em uma ferramenta já consagrada para a identificação de oscilações eletromecânicas de baixa frequência. Enquanto o segundo é uma t´técnica usualmente aplicada em análise de transitórios com desempenho satisfatório no contexto de qualidade de energia. Simulações não lineares são realizadas no software ATP, inicialmente sobre um sistema trifásico equilibrado e tais técnicas são aplicadas e comparadas, tornando possível a validação cruzada de ambos os métodos na identificação do modo eletromecânico do sistema. Na sequência, simulações são realizadas em um um sistema trifásico desequilibrado, permitindo avaliar o efeito do desbalanço da carga sobre as oscilações eletromecânicas, sendo essa uma das maiores contribuições desse trabalho. A principal conclusão adquirida é o fato de que um Power System Stabilizer (PSS) pode ser usado para mitigar os impactos prejudiciais das oscilações eletromecânicas em um gerador síncrono distribuído, sendo que esse PSS pode ser projetado a partir de técnicas típicas, assumindo um funcionamento equilibrado desse gerador, e ainda assim ter um desempenho satisfatório para os casos desequilibrados estudados. / Over the last few decades, the advent of distributed synchronous generators has significantly modified the operation and dynamics of distribution systems. Dynamic behaviors that were typical of transmission systems are now also present in distribution systems. Problems related to poorly damped electromechanical oscillations, the focus of small-signal stability studies, can now also affect the distribution systems due to the insertion of synchronous generators. Tools usually employed in large systems for the analysis of these oscillations are not completely appropriate to analyze this phenomena in distribution systems with distributed generation, due to particular characteristics of these systems, such as load imbalance. Therefore, this research proposes an alternative procedure to analyze the small-signal stability of distribution systems, through the application of modal estimation techniques. Two modal estimation techniques are used: the Prony and ESPRIT methods. The former consists of a well-established tool for identifying low-frequency oscillations and the latter was chosen due to its satisfactory performance in works related to power quality, where it is applied in transient analysis. Initially, both modal estimation techniques are applied to the results of nonlinear simulations performed in the Alternative Transients Program for balanced three-phase systems. The modes identified by both techniques exhibit a close match, which provides a cross validation between these techniques. In the sequence, simulations are performed in three-phase unbalanced systems, allowing an evaluation of the effect of load imbalance on the electromechanical oscillations (which is another major contribution of this work). Furthermore, it is concluded from the obtained results that a Power System Stabilizer, designed under the assumption of a balanced operation of the distribution system, can be effectively used to mitigate the detrimental effects of the poorly damped oscillations even when the system operates under unbalanced load conditions.

No description available.

Dans ce travail, il est question d'étudier la faisabilité d'une valorisation en techniques routières de granulats de Mâchefers d'Incinération des Dèchets Non Dangereux (MIDND). Cette étude se base en premier lieu sur une analyse expérimentale ayant permis d'obtenir leurs propriétés élastiques. Ces propriétés servent de données d'entrée à une modélisation multi-échelle hiérarchique développée pour étudier le comportement mécanique de graves base de MIDND traitées aux liants (ciment et bitume). La campagne expérimentale originale sur des particules de mâchefers a permis de les cartographier au Microscope Electronique à Balayage (MEB Pour ces particules, des modules d'élasticité moyens réduits variant de 15 à 68 GPa ont été trouvés par le biais de tests d'indentation en appliquant méthode de «Olivier and Pharr ». Les analyses chimiques ponctuelles qualitatives (EDS) effectuées ont permis d'obtenir la composition chimique des granulats de mâchefers. Partant d'une granulométrie de particules de MIDND 0/25 qui a fait l'objet d'une étude expérimentale [BEC 07], nous avons mis en place des modèles numériques 3D de grave routière traitée aux liants dans des Volumes Elémentaires Représentatifs (VER). Ces modèles sont basés sur une stratégie de modélisation dite « multi-échelles » hiérarchique. Deux types de liant sont étudiés : le ciment CEM 1 42,5 R et le bitume de [NGU 08). Pour les deux types de liant, les agrégats traités ont été décomposés en deux VER : sub-mesoscopique (0/6) et mesoscopique (6/25). Une application à valorisation des MIDND en techniques routières est faite dans les deux cas. Avec un traitement à 3% de ciment, une campagne de simulations numériques "Laboratoire virtuel" a été menée. A l'échelle sub-mesoscopique, des simulations multiaxiales menées sur le VER, ont conduit à l'obtention des paramètres permettant d'alimenter un modèle d'endommagement plastique utilisé à l'échelle mesoscopique pour différents degrés d'hydratation. A l'échelle mesoscopique, les caractéristiques mécaniques de la grave routière traitée au ciment, habituellement déterminées par le biais d'expérimentations, ont été retrouvées. La modélisation développée a ensuite été validée e comparant nos résultats numériques et quelques résultats expérimentaux de [BEC 07]. Avec un traitement à 5% de bitume, des tests de relaxation de contraintes ont été effectués aux deux échelles ct ont permis d'obtenir les propriétés thermo-rhéologiques de la grave de mâchefers traités au bitume : les modules de relaxation sont exprimés sous la forme de séries de Prony à une température de référence de 0 °C ; par ailleurs, les constantes de la loi Williams-Landel-Ferry (WLF) pour décrire le comportement thermo- rhéologiquement simple sont identifiées. Les séries de Prony sont obtenues par l'intermédiaire des modules élastiques normalisés. Les constantes de 1 WLF obtenues sont C 1 = 20 °C-1 ct C2 = 130 °C. La validation des paramètres identifiés a été faite en comparant les réponses du matériau hétérogène de grave-bitume et celles d'un matériau homogène à qui nous avons donné les propriétés identifiées tirées du matériau hétérogène. / In this work, the feasibility of a valorisation in road engineering of non-hazardous waste incineration bottom ash aggregates (NHWI) is investigated. This study is first based on an experimental determination of the elastic properties of the bottom ash particles. These properties serve as input data for hierarchical multi-scale modelling developed to study the mechanical behaviour of aggregates treated with binders (cement and bitumen). The original experimental campaign on the bottom ash particles allowed them to be mapped to the Scanning Electron Microscope (SEM). For the particles, a mean reduced modulus of elasticity in between 15 and 68 GPa was found by means of indentation tests and applying the "Olivier and Phan method. The chemical analysis of the aggregates was obtained using qualitative point chemical analyzes (OHS). Based on a 0/25 particle size distribution of NHWI, which was the subject of an experimental study [BEC 07] , we have implemented two 30 models < road materials treated with binders in Representative Elementary Volumes (REV). These models are based on a hierarchical multi-scale modelling strategy. Two types of binder are studied: cement CEM I 42.5 R and bitumen of [NGU 08]. For both types of binder, the treated aggregates we divided into two REV, at respectively the sub-mesoscale (0/6 mm) and the mesoscale (6/25 mm). An application to the valorisation of NHWI bottom ashes in road engineering is studied in both cases. With a 3% cement treatment, a numerical simulation campaign "Virtual Laboratory" was conducted. At the sub-mesoscale, the input parameters for the Concrete Damaged Plasticity Model used at the mesoscale are determined. At the mesoscale, the mechanical characteristics of the road materials usually determined through experiments have been found. The developed simulation strategy has been validated by comparing our numerical results and son experimental results of [BEC 07]. With a 5% bitumen treatment, stress relaxation tests carried out at the two scales enable one to obtain the thermo-rheological properties of the Bitumen Bound Gravel. These properties are the Prony series at a reference temperature of 0°C and the Williams-Landei- Ferry (WLF) law constants. Prony series are obtained by means of standardized elastic moduli. The obtained WLF law constants are Cl = 20 °C-1 and C2 = 130 °C. The numeric simulations have been validated by comparing the responses of heterogeneous and corresponding homogeneous materials.

No description available.

Cette thèse porte sur la reconstruction de formes linéaires sur l'anneau des polynômes dans le cas multivarié et ses applications. Nous proposons des outils théoriques et algorithmiques permettant de résoudre des problèmes liés aux moments : la reconstruction de polytopes convexes à partir de leurs moments et la recherche de cubatures. L'algorithme numérique proposé pour reconstruire des polytopes utilise des méthodes numériques utilisées précédemment pour le cas des polygones, ainsi que les identités de Brion reliant moments directionnels et sommets projetés. Un polyèdre à 57 sommets - la coupe d'un diamant - est ainsi reconstruit. Pour la recherche de cubatures, nous adaptons la méthode de Prony univariée en une méthode multivariée à l'aide des opérateurs de Hankel. Un problème de complétion de matrices est aussi résolu grâce au théorème d'extension plate de Curto-Fialkow. Nous expliquons ainsi la recherche de cubatures à l'aide des matrices de moments, connue dans la littérature. La symétrie, qui est ici un élément naturel, réduit la complexité algorithmique. Nous prouvons qu'une diagonalisation par blocs des matrices concernées est alors possible. De ces blocs et à l'aide de la matrice de multiplicités d'un groupe fini, des conditions nécessaires à l'existence de cubatures sont obtenues. Pour une mesure, un degré et un nombre de nœuds donnés, notre algorithme certifie tout d'abord l'existence de cubatures et ensuite calcule ses poids et nœuds. De nouvelles cubatures ont ainsi été trouvées : soit en complétant celles connues pour une mesure et un degré donnés, soit en ajoutant des cubatures de degrés supérieurs pour une mesure donnée. / This thesis deals with the reconstruction of linear forms on the polynomial ring and its applications. We propose theoretical and algorithmic tools to solve multivariate moment problems: the reconstruction of convex polytopes from their moments (shape-from-moments) and the search for cubatures. The numerical algorithm we propose to reconstruct polytopes uses numerical methods previously known in the case of polygons, and also Brion's identities that relate directional moments and projected vertices. A polyhedron with 57 vertices – a diamond cut – is thus reconstructed. Concerning the search for cubatures, we adapt the univariate Prony's method into a multivariate method thanks to Hankel operators. A matrix completion problem is then solved with a basis-free version of Curto-Fialkow's flat extension theorem. We explain thus the moment matrix approach to cubatures, known in the litterature. Symmetry is here a natural ingredient and reduces the algorithmic complexity. We show that a block diagonalisation of the involved matrices is possible. Those blocs and the matrix of multiplicities of a finite group provide necessary conditions on the existence of cubatures. Given a measure, a degree and a number of nodes, our algorithm first certify the existence of cubatures and then compute the weights and nodes. New cubatures have been found: either by completing the ones known for a given measure and degree, or by adding cubatures with a higher degree for a given measure.

For noiseless sampled data, we describe the close connections between Prony--like methods, namely the classical Prony method, the matrix pencil method and the ESPRIT method. Further we present a new efficient algorithm of matrix pencil factorization based on QR decomposition of a rectangular Hankel matrix. The algorithms of parameter estimation are also applied to sparse Fourier approximation and nonlinear approximation.

For noiseless sampled data, we describe the close connections between Prony--like methods, namely the classical Prony method, the matrix pencil method and the ESPRIT method. Further we present a new efficient algorithm of matrix pencil factorization based on QR decomposition of a rectangular Hankel matrix. The algorithms of parameter estimation are also applied to sparse Fourier approximation and nonlinear approximation.

Elastomer seals are used in a variety of industries that require flow isolation. The characterization of the behavior of these seals remains largely unexplored and hence, this study is focused on simulating and validating the axial-compressive behavior of an annular rubber seal constrained concentrically in a pipe. The elastomer material composing the seal, was experimentally characterized for its mechanical, frictional, and viscoelastic properties and modelled using models developed by Yeoh, Thirion, and Prony respectively. A 2D axisymmetric finite-element model was developed using ANSYS 16 and used alongside the material models to simulate an axial load versus displacement curve, a contact pressure distribution, and a pipe hoop strain gradient. The results for quasi-static loading and viscoelastic effects agreed within 7% and 18% of the experimental results, respectively. It was observed that pipe geometry, rubber chemistry, frictional properties, and viscoelastic effects have significant effect on the compressive behavior of the seal. / October 2016

This work presents a fracture mechanics analysis of the cathodic delamination problem for the polyurethane/titanium and polyurea/steel interfaces. The nonlinear behavior of both polymers was investigated. The recent Marlow model was used to define the strain energy function of the polymers. Viscoelastic effects of the polyurea were also studied. The Marlow model was associated with a nine-term Prony series. This model was seen to represent experimental data relatively well for a wide range of strain rates both in tension and compression. The driving force for delamination, the strain energy release rate G, is presented for both interfaces. Cathodic delamination data for several temperatures are presented as crack growth rate as a function of crack driving force. The approach recognizes that both temperature and stress can be used as accelerated life testing parameters. / text