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Most present day spacecrafts have large interconnected solar panels. The dynamic behavior of the spacecraft in orbit can be modeled as a free rigid mass with flexible elements attached to it. The natural frequencies of such spacecrafts with deployed solar panels are very low. The low values of the natural frequencies pose difficulties for maneuvering the spacecraft. The control torque required to maneuver the spacecraft is influenced by the flexibility of the solar arrays. The control torque sets up transient oscillations in the flexible solar panels which in turn induces disturbances in the rigid satellite body and the payload within. Therefore the payload operations can be carried out only after the disturbances die out. For any reduction of the above disturbances it is necessary to understand the dynamic behavior of such systems to an applied torque. The present work first studies the nature of the disturbances. The influence of structural parameters on these disturbances is then investigated. Finally, the use of passive damping treatment using viscoelastic material is investigated for the reduction of the disturbances. In order to understand the nature of vibrations induced in the flexible appendages of a satellite during maneuvers, we model the maneuver loads in terms of applied angular acceleration as well as varying torque. The transient decay of the disturbance of the rigid element is characterized by the dynamic characteristics of the flexible panels or appendages. It is shown that by changing the stiffness of the panel the response of the rigid element can be modified. A simple model consisting of an Euler-Bernoulli beam attached to a free mass is next considered. The influence of various parameters of the EulerBernoulli beam in mitigating vibration and thereby the disturbance in the rigid mass is investigated. As the response of the rigid system mounted with the large flexible panels are influenced by the dynamics of the flexible panels, reduction of these disturbances can be achieved by reducing the vibration in the flexible panels. Therefore application of viscoelastic materials for passive damping treatment is investigated. The loss factor of a structure is significantly improved by using constrained viscoelastic layer damping treatment. However providing a constrained layer damping treatment on the entire structure is very inefficient in terms of the additional mass involved. Therefore damping material is applied at suitable optimal locations. In previous studies reported in literature, modal strain energy distribution in the viscoelastic material as well as the base structure is used as a tool to arrive at the optimum location for the damping treatment. It is shown in this study that such locations selected are not the optimum. A new approach is proposed in this study by which both the above shortcomings are overcome. It is shown that use of a parameter that is the ratio of the strain in the viscoelastic material to the angle of flexure is a more reliable measure in arriving at optimal locations for the application of constrained viscoelastic layers. The method considers the deformations in the viscoelastic material and it is shown that significant values of loss factors are achieved by providing material in a small region alone. We also show that loss factor can be improved by providing damping material near the interface region. The loss factor can be further improved by incorporating spacers by using spacer material having higher extensional modulus. Also shown is the fact that loss factor is unaffected by the shear modulus of the spacer material. Experiments have been conducted to validate these results. In a related study we consider honeycomb type flexible structures since in most of the spacecraft applications honeycomb sandwich constructions are employed. But loss factors of sandwich panels with constrained layer damping treatment are seldom discussed in the literature. Use of viscoelastic layers to improve the loss factors of the honeycomb sandwich beams is explored. The results show that the loss factors are enhanced by increasing the inplane stiffness of the constraining layer. These conclusions too are validated by experimental results. Finally a typical satellite with flexible solar panels is considered, and the use of the viscoelastic material for improving the damping is demonstrated.

This work is concerned with the fluid dynamic processes and the associated loss of acoustic energy produced by circular apertures within noise absorbing perforated walls. Although applicable to a wide range of engineering applications particular emphasis in this work is placed on the use of such features within a gas turbine combustion system. The primary aim for noise absorbers in gas turbine combustion systems is the elimination of thermo-acoustic instabilities, which are characterised by rapidly rising pressure amplitudes which are potentially damaging to the combustion system components. By increasing the amount of acoustic energy being absorbed the occurrence of thermo-acoustic instabilities can be avoided. The fundamental acoustic characteristics relating to linear acoustic absorption are presented. It is shown that changes in orifice geometry, in terms of gas turbine combustion system representative length-to-diameter ratios, result in changes in the measured Rayleigh Conductivity. Furthermore in the linear regime the maximum possible acoustic energy absorption for a given cooling mass flow budget of a conventional combustor wall will be identified. An investigation into current Rayleigh Conductivity and aperture impedance (1D) modelling techniques are assessed and the ranges of validity for these modelling techniques will be identified. Moreover possible improvements to the modelling techniques are discussed. Within a gas turbine system absorption can also occur in the non-linear operating regime. Hence the influence of the orifice geometry upon the optimum non-linear acoustic absorption is also investigated. Furthermore the performance of non-linear acoustic absorption modelling techniques is evaluated against the conducted measurements. As the amplitudes within the combustion system increase the acoustic absorption will transition from the linear to the non-linear regime. This is important for the design of absorbers or cooling geometries for gas turbine combustion systems as the propensity for hot gas ingestion increases. Hence the relevant parameters and phenomena are investigated during the transition process from linear to non-linear acoustic absorption. The unsteady velocity field during linear and non-linear acoustic absorption is captured using particle image velocimetry. A novel analysis technique is developed which enables the identification of the unsteady flow field associated with the acoustic absorption. In this way an investigation into the relevant mechanisms within the unsteady flow fields to describe the acoustic absorption behaviour of the investigated orifice plates is conducted. This methodology will also help in the development and optimisation of future damping systems and provide validation for more sophisticated 3D numerical modelling methods. Finally a set of design tools developed during this work will be discussed which enable a comprehensive preliminary design of non-resonant and resonant acoustic absorbers with multiple perforated liners within a gas turbine combustion system. The tool set is applied to assess the impact of the gas turbine combustion system space envelope, complex swirling flow fields and the propensity to hot gas ingestion in the preliminary design stages.

The scope of this research concerns the passive damping of structural vibrations by the use of viscoelastic layers. It is motivated by the need for efficient numerical tools to deal with the medium frequency behaviour of industrial viscoelastic sandwich products. The sandwich modelling technique is based on the use of an interface element: the two deformable plates are modelled by special plate elements while the intermediate dissipative layer is modelled with interface elements. This interface element is based on the first-order shear deformation theory and assume constant peel and shear stresses in the polymer thickness. This element couples the lower and upper layers without additional degrees of freedom. The partition of unity finite element method (PUFEM) is applied to the development of enriched Mindlin plate elements. The element shape functions are obtained as the product of<p>partition of unity functions with arbitrary chosen enrichment functions. Polynomial enrichment leads to the generation of high-order polynomial shape functions and is therefore similar to a p-FEM technique. Numerical examples illustrate the use of both PUFEM Mindlin plate elements and interface elements for the simulation of viscoelastic sandwich structures. / Doctorat en sciences appliquées / info:eu-repo/semantics/nonPublished

Noise and vibration suppression is an important aspect in the design process of structures and machines. Undesirable vibrations can cause fatigue in a structure and are, therefore, a risk to the safety of a structure. One of the most effective and widely used methods of mitigating these unwanted vibrations from a system is passive damping, by using a viscoelastic material. This dissertation will primarily focus on constrained layer passive damping treatments in structures and the investigation of associated complex modes. The key idea behind constrained damping treatment is to increase damping as affected by the presence of a highly damped core layer vibrating mainly in shear. Our main goal was to incorporate viscoelastic material in a thick stiffened panel with plate-strip stiffeners, to enhance the damping characteristics of the structure. First, we investigated complex damped modes in beams in the presence of a viscoelastic layer sandwiched between two elastic layers. The problem was solved using two approaches, (1) Rayleigh beam theory and analyzed using the principle of virtual work, and (2) by using 2D plane stress elasticity based finite-element method. The damping in the viscoelastic material was modeled using the complex modulus approach. We used FEM without any kinematic assumptions for the transverse shear in both the core and elastic layers. Moreover, numerical examples were studied, by including complex modulus in the base and constraining layers. The loss factor was calculated by modal strain energy method, and by solving a complex eigenvalue problem. The efficiency of the modal strain energy method was tested for different loss factors in the core layer. Complex mode shapes of the beam were also examined in the study, and a comparison was made between viscoelastically damped and non-proportionally damped structures. Secondly, we studied the free vibration response of an integrally stiffened and/or stepped plate. The stiffeners used here were plate-strip stiffeners, unlike the rib stiffeners often investigated by researchers. Both plate and stiffeners were analyzed using the first-order shear deformation theory. The deflections and rotations were assumed as a product of Timoshenko beam functions, chosen appropriately according to the given boundary conditions. Unlike Navier and Levy solution techniques, the approach used here can also be applied to fully clamped, free and cantilever supported stiffened plates. The governing differential equations were solved using the Rayleigh-Ritz method. The development of the stiffness and the mass matrices in the Ritz analysis was found to consume a huge amount of CPU time due to the recursive integration of Timoshenko beam functions. An approach is suggested to greatly decrease this amount of CPU time, by replacing the recursive integration in a loop structure in the computer program, with the analytical integration of the integrand in the loop. The numerical results were compared with the exact solutions available in the literature and the commercially available finite-element software ABAQUS. Some parametric studies were carried out to show the influence of certain important parameters on the overall natural frequencies of the stiffened plate. Finally, we investigated the damped response of an adhesively bonded plate employing plate-strip stiffeners, using FSDT for both the plate and stiffeners. The problem was analyzed using the principle of virtual work. At first, we did not consider damping in the adhesive in order to validate our code, by comparing our results with those available in the literature as well as with the results obtained using ABAQUS 3D model. The results were found to be highly satisfactory. We also considered the effect of changing the stiffness of the adhesive layer on the vibration of the bonded system. As a second step, we included damping in the stiffened structure using complex modulus approach, a widely used technique to represent the rheology of the viscoelastic material. We observed an overall increase in the natural frequencies of the system, due to the damping provided by the viscoelastic material. Moreover, it was noticed that when the thickness of the adhesive layer is increased, the natural frequencies and loss factor of the stiffened structure decrease. A viscoelastic material with high loss factor and small thickness will be a perfect design variable to obtain overall high damping in the structure. / Ph. D.

Submitted by JOSÉ CARLOS UGAZ PEÑA null (josecarlos84@gmail.com) on 2016-06-20T13:29:30Z No. of bitstreams: 1 Tese_JoseCarlosPena_PPGEE.pdf: 9650212 bytes, checksum: 77b105d009c0b473cbc424e681ebe9a5 (MD5) / Approved for entry into archive by Ana Paula Grisoto (grisotoana@reitoria.unesp.br) on 2016-06-22T13:10:00Z (GMT) No. of bitstreams: 1 pena_jcu_dr_ilha.pdf: 9650212 bytes, checksum: 77b105d009c0b473cbc424e681ebe9a5 (MD5) / Made available in DSpace on 2016-06-22T13:10:00Z (GMT). No. of bitstreams: 1 pena_jcu_dr_ilha.pdf: 9650212 bytes, checksum: 77b105d009c0b473cbc424e681ebe9a5 (MD5) Previous issue date: 2016-06-02 / Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) / Os inversores fonte de tensão com filtro de saída LCL (VSI+LCL) são amplamente utilizados em sistemas de geração distribuída. Nestas aplicações o sistema é controlado como uma fonte de corrente, no entanto, há a possibilidade de controlar o conjunto como uma fonte de tensão. Desta forma, a mencionada configuração pode ser utilizada em geração distribuída no ambiente de microrredes onde os sistemas, monofásicos ou trifásicos, devem operar conectados à rede de distribuição elétrica com controle das potências injetadas (ativa e reativa) e serem capazes de, em ausência da rede, passar a operar no modo autônomo. Ainda, após o restabelecimento da rede, o controle deve levar o sistema a operar novamente no modo conectado. Sendo as transições realizadas sem transientes que possam danificar qualquer componente do sistema. O filtro LCL, de terceira ordem, caracteriza um comportamento ressonante que pode comprometer a estabilidade do sistema. Para resolver esta situação, diversas técnicas ativas e passivas são aplicadas. Para aplicações de baixa potência, preferem-se as técnicas passivas de amortecimento devido a sua simplicidade e baixo custo, porém estas implicam em perdas adicionais. Já as técnicas ativas de amortecimento, consideram procedimentos de controle para atenuar a ressonância, e, portanto, não adicionam perdas, porém, sua realização requer da realimentação de variáveis adicionais elevando assim o custo do sistema. Todavia, mesmo que aplicáveis a ambos os modos de operação, as técnicas de amortecimento disponíveis na literatura consideram apenas um modo de operação. O presente trabalho de doutorado explora a possibilidade de controlar sistemas VSI+LCL, monofásicos e trifásicos, em ambos os modos de operação, com atenção a objetivos específicos em cada modo e transições suaves entre estes. Assim, são apresentadas duas estratégias de controle. A primeira estratégia considera o amortecimento da ressonância por técnicas passivas, mediante a utilização de um ramo de amortecimento de segunda ordem, projetado para garantir o efeito desejado em ambos os modos de operação e simplificar a dinâmica do sistema a fim de facilitar o projeto dos controladores, abordagem não utilizada nos métodos conhecidos na literatura. Logo, o sistema amortecido é controlado em uma configuração de duas malhas, controlando a corrente injetada mediante a tensão no capacitor. A segunda estratégia proposta considera a utilização de controladores por realimentação de estados em tempo discreto, sintetizados mediante desigualdades matriciais lineares, para simultaneamente, realizar ativamente o amortecimento da ressonância e atender os objetivos de controle em ambos os modos de operação. Ambas as estratégias propostas consideram controladores ressonantes com o objetivo de rastrear sinais senoidais de referência com erro nulo e suprimir componentes harmônicos de baixa ordem na corrente de saída. Ainda, os controladores são projetados considerando a necessidade de garantir a estabilidade robusta do sistema, isto é, frente a perturbações externas (tais como variações na carga local, oscilações na tensão do barramento CC ou distúrbios na rede) e às variações em parâmetros do sistema, como a indutância de rede. As propostas são apresentadas em detalhe, incluindo os procedimentos de projeto assim como critérios para a geração e coordenação dos sinais de controle e referência. As estratégias propostas são avaliadas experimentalmente sendo os resultados obtidos discutidos e analisados considerando-se as respectivas normas para os casos de operação conectada e ilhada. / The voltage source inverter utilization with LCL filters (VSI+LCL) is extended in Distributed Electrical Energy Systems. In these applications, the system is controlled as a current source, however, it can also be controlled as a voltage source. Hence, this configuration is suitable for microgrids environment. In this scenario, the system should operate connected to utility grid with control of the supplied power (active or reactive) and also be capable, in case of grid absence, to operate in islanded mode. Then, if the grid is reestablished, system should be reconnected to grid. Moreover, these transitions should be smooth, with no hazardous transients. The third order filter leads to a resonant behavior that can compromise the system stability. In order to overcome this limitation, passive and active damping methods are used. In low power applications, passive damping methods are preferred due to their simplicity and low. Nevertheless, these methods lead to additional losses. On the other hand, active damping methods consider the feedback of additional variables in order to damp the resonance in closed loop, with no additional losses. This implies additional sensors, thus increasing the overall cost. Despite their effectiveness to damp the resonance in both autonomous and grid connected applications, the most of the damping methods are usually designed only for a specific operation mode. This work explores the possibility to control VSI+LCL systems, single and three-phase, in both operation modes, attending to specific goals in each one, and with smooth transitions between them. For that purpose, two control strategies are proposed. The first one considers passive damping methods, by using a second order damping branch which is designed in order to guarantee the desired effect in both operation modes, thus simplifying the system dynamics in order to ease the control. This approach is not known in the literature. Then, the damped system is controlled in a two loop strategy, where the output current is controlled by means of the capacitor voltage. The second strategy considers the utilization of discrete time state-feedback controllers, synthesized by Linear Matrix Inequalities, in order to simultaneously achieve the active damping and the control goals for both operation modes. The proposed strategies use resonant controllers in order to achieve the tracking of sinusoidal references and to suppress low order harmonics in the output current. Moreover, controllers are designed to achieve robust stability of the system, thus, even in front of external disturbances (such as local load variations, DC bus oscillations or grid disturbances) and variation on system parameters, such as the grid inductance. The two introduced strategies are detailed including the design procedure and the criterion to generate and coordinate the reference and control signals. The two proposed strategies were experimentally verified. The results were analyzed and compared to the requirements imposed by the related standards for both modes of operation. / CNPq: 141757/2012-4

Orientador: Carlos Alberto Canesin / Resumo: Os inversores fonte de tensão com filtro de saída LCL (VSI+LCL) são amplamente utilizados em sistemas de geração distribuída. Nestas aplicações o sistema é controlado como uma fonte de corrente, no entanto, há a possibilidade de controlar o conjunto como uma fonte de tensão. Desta forma, a mencionada configuração pode ser utilizada em geração distribuída no ambiente de microrredes onde os sistemas, monofásicos ou trifásicos, devem operar conectados à rede de distribuição elétrica com controle das potências injetadas (ativa e reativa) e serem capazes de, em ausência da rede, passar a operar no modo autônomo. Ainda, após o restabelecimento da rede, o controle deve levar o sistema a operar novamente no modo conectado. Sendo as transições realizadas sem transientes que possam danificar qualquer componente do sistema. O filtro LCL, de terceira ordem, caracteriza um comportamento ressonante que pode comprometer a estabilidade do sistema. Para resolver esta situação, diversas técnicas ativas e passivas são aplicadas. Para aplicações de baixa potência, preferem-se as técnicas passivas de amortecimento devido a sua simplicidade e baixo custo, porém estas implicam em perdas adicionais. Já as técnicas ativas de amortecimento, consideram procedimentos de controle para atenuar a ressonância, e, portanto, não adicionam perdas, porém, sua realização requer da realimentação de variáveis adicionais elevando assim o custo do sistema. Todavia, mesmo que aplicáveis a ambos os modos de operação,... (Resumo completo, clicar acesso eletrônico abaixo) / Abstract: The voltage source inverter utilization with LCL filters (VSI+LCL) is extended in Distributed Electrical Energy Systems. In these applications, the system is controlled as a current source, however, it can also be controlled as a voltage source. Hence, this configuration is suitable for microgrids environment. In this scenario, the system should operate connected to utility grid with control of the supplied power (active or reactive) and also be capable, in case of grid absence, to operate in islanded mode. Then, if the grid is reestablished, system should be reconnected to grid. Moreover, these transitions should be smooth, with no hazardous transients. The third order filter leads to a resonant behavior that can compromise the system stability. In order to overcome this limitation, passive and active damping methods are used. In low power applications, passive damping methods are preferred due to their simplicity and low. Nevertheless, these methods lead to additional losses. On the other hand, active damping methods consider the feedback of additional variables in order to damp the resonance in closed loop, with no additional losses. This implies additional sensors, thus increasing the overall cost. Despite their effectiveness to damp the resonance in both autonomous and grid connected applications, the most of the damping methods are usually designed only for a specific operation mode. This work explores the possibility to control VSI+LCL systems, single and three-phase... (Complete abstract click electronic access below) / Doutor

Le "Trou Noir Acoustique" (TNA) constitue un moyen passif de réduction des vibrations des structures sans pour autant augmenter leur masse. Il s’agit d’un amincissement local de la structure, revêtu d’un matériau viscoélastique. L’effet TNA résulte alors de l’augmentation locale de l’amplitude vibratoire,qui sollicite fortement le revêtement, donnant lieu à un amortissement important. Une analyse détaillée des mécanismes de dissipation du TNA est réalisée :la diffusion des ondes de flexion par un TNA est étudiée lorsque ce dernier est inséré dans une plaque infinie. On montre que le revêtement induit un amortissement local important, permettant d’augmenter significativement l’amortissement global. Le TNA étant surtout efficace en hautes fréquences (HF),il est périodisé sur une plaque pour tirer parti des bandes interdites en basses fréquences (BF). Deux réseaux (carré et triangulaire) sont étudiés numériquement par la méthode PWE et expérimentalement par mesure de mobilités vibratoires. Les résultats montrent que la plaque est à la fois amortie en BH par effet de réseau et en HF par l’effet TNA. / The "Acoustic Black Hole" (ABH) is a passive device of reducing vibrations of structures without increasing their mass. It consists in a local thinning of the structure, coated with a thin layer of viscoelastic material. The ABH effect results from the local increase in vibratory magnitude, which strongly solicits the coating, giving rise to local significant damping. A detailed analysis of the mechanisms of dissipation of the ABH is carried out : the scattering of bending waves by an ABH is studied when the latter is inserted in an infinite thin plate. It is shown that the coating induces a significant local damping, allowing to significantly increase the global damping. The ABH is especially effective at high frequencies(HF), it is periodized on a plate to take advantage of the band gaps effect at low frequencies (LF). Two lattices (square and triangular) are studied numerically by the PWE method and experimentally by measuring vibratory mobilities. The results show that the plate is damped at the same time in LF by the lattice effect and in HF by the ABH effect.

At the moment of writing, an expansion of the Swedish railway network has started, by constructions of new lines for high-speed trains. The aim is to create a high-speed connection between the most populous cities in Sweden - Stockholm, Göteborg and Malmö, and the rest of Europe. Thereby, the likelihood of faster, longer and heavier foreign trains crossing the Swedish lines is increased. However, this could be problematic since the dynamic response in railway bridges and, consequently, the risk of resonance increases with increasing train speeds. Bridges are usually designed based on contemporary conditions and future requirements are rarely considered, due to e.g. cost issues. Prospectively, the dynamic performance of existing bridges may become insufficient. Hence, the current expansion of the high-speed railway network results in an increased demand of innovative design solutions for new bridges and cost-efficient upgrading methods for existing lines. The aim of the present thesis is to propose a vibration mitigation strategy suitable for new and existing high-speed railway bridges. The main focus is a retrofit method with fluid viscous dampers installed between the bridge superstructure and the supports, which is intended to reduce the vertical bridge deck acceleration below the European design code limits. Furthermore, the intention is to investigate the efficiency of such a system, as well as to identify and analyse the parameters and uncertainties which could influence its functionality. In order to examine the applicability of the proposed retrofit, case studies, statistical screenings and sensitivity analyses are performed and analysed. Two different models, a single-degree-of-freedom system and a finite element model, are developed and compared. From the different models, it is possible to study the influence from the damper parameters, the variability of the material properties and different modelling aspects on the bridge response. After the installation of the fluid viscous dampers, it is found that the acceleration level of the bridge deck is significantly reduced, even below the design code requirements. / I skrivande stund har en utbyggnad av det svenska järnvägsnätet initierats. Målet är att skapa en höghastighetsanslutning mellan de folkrikaste städerna i Sverige - Stockholm, Göteborg och Malmö, och vidare ut i Europa. Därmed ökar sannolikheten att snabbare, längre och tyngre utländska tåg korsar de svenska järnvägslinjerna. Dock kan detta bli problematiskt i och med att järnvägsbroars dynamiska respons och, följaktligen, risken för resonans ökar med ökad tåghastighet. Broar dimensioneras ofta utifrån nuvarande förutsättningar och hänsyn tas sällan till framtida hållbarhetskrav, exempelvis p.g.a. kostnadsbesparingar. Ur ett framtidsperspektiv kan därför det dynamiska beteendet hos befintliga broar komma att bli otillräckligt. Utbyggnaden av höghastighetsnätverket ökar därmed behovet av innovativa konstruktionslösningar för nya broar och kostnadseffektiva uppgraderingsmetoder för befintliga sträckor. Syftet med föreliggande avhandling är att föreslå en metod för att minska de vibrationsnivåer som kan uppstå i både nybyggda och befintliga järnvägsbroar för höghastighetståg. Huvudfokus är en eftermonteringsmetod med viskösa dämpare, som har installerats mellan brons överbyggnad och landfästen, för att minska brobanans vertikala acceleration under gällande europeiska dimensioneringskrav. Vidare avses att undersöka effektiveteten av ett sådant system, samt att identifiera och analysera de parametrar och osäkerheter som kan påverka dess funktionalitet. Fall- och parameterstudier, samt statistiska metoder används och utvärderas för att undersöka tillämpbarheten av den föreslagna vibrationsdämpningsmetoden. Två olika modeller, ett enfrihetsgradssystem och en finit elementmodell, har skapats och jämförts. Utifrån dessa modeller kan påverkan av dämparens parametrar, variabiliteten hos materialegenskaperna och behandlingen av olika modelleringsaspekter studeras. Från resultaten är det tydligt att brobanans accelerationsnivå avsevärt reduceras efter monteringen av viskösa dämpare, till och med under dimensioneringskraven. / <p>QC 20170425</p>

Este trabalho apresenta um estudo sobre a corrente de fuga de modo comum em inversores monofásicos sem transformador utilizados para a conexão de sistemas fotovoltaicos (FV) à rede de distribuição de energia elétrica. O estudo se concentra em inversores do tipo fonte de tensão que empregam a topologia em ponte completa. A partir da adequada modelagem do sistema (rede, conversor e módulo fotovoltaico) identifica-se e quantifica-se a contribuição das tensões de modo comum e modo diferencial para a corrente de fuga. Conclui-se que a tensão de modo comum de alta frequência produzida pelo inversor, que depende da estratégia de modulação por largura de pulso (PWM Pulse Width Modulation) empregada, fornece a maior contribuição para produção da corrente de fuga. Esse estudo mostra que os inversores sem transformador, com topologia em ponte completa e modulação que produz tensão de saída com três níveis, necessitam de medidas adicionais para a minimização da corrente fuga quando aplicados em sistemas fotovoltaicos conectados à rede. Algumas soluções propostas na literatura para a minimização da corrente de fuga baseadas em topologias modificadas e filtros de modo comum são listadas e discutidas. Neste trabalho é proposto um filtro integrado de modo comum e modo diferencial com amortecimento passivo de baixas perdas, para minimizar a corrente de fuga produzida por um inversor monofásico sem transformador. Um exemplo de aplicação do filtro proposto é apresentado juntamente com seu procedimento de projeto, resultados de simulação e experimentais que validam a proposta. Além disso, a influência da variação da indutância da rede elétrica e da capacitância parasita do sistema fotovoltaico no comportamento do filtro proposto é analisada. A influência da variação da indutância da rede no comportamento do sistema de controle e o impacto da corrente de modo comum no projeto dos indutores do lado do conversor também são analisados. / This paper presents a study on the common mode leakage current in single-phase transformerless inverters for grid-connected photovoltaic (PV) systems. The study focuses on voltage source inverters (VSI) employing the full-bridge topology. The common mode and differential mode voltages that contribute to the leakage current are identified and quantified from the analysis of the system model (utility grid, converter and PV module). The system model analysis shows that the high frequency common mode voltage produced by the inverter, which depends on the Pulse Width Modulation (PWM) strategy, is the main source contributing to the leakage current. This work shows that transformerless inverters employing the full-bridge topology and a modulation strategy that produces a three-level output voltage require some leakage current minimization strategy when they are employed in grid-connected PV systems. Some solutions proposed in the literature for leakage current minimization based on modified topologies and common mode filters are listed and discussed. In this dissertation an integrated common and differential filter with low loss passive damping is proposed to minimize the leakage current produced by a single-phase transformerless PV inverter. An application example of the proposed filter is presented with design procedure, simulation and experimental results validating the proposal. Additionally, the influence of grid inductance and PV module parasitic capacitance variations on the behavior of the proposed filter is analyzed. The behavior of the control system considering the grid inductance variation and the impact of the common mode current on the converter side inductors design are also analyzed.