Thesis (MScEng)--University of Stellenbosch, 2001. / ENGLISH ABSTRACT: In this thesis a new voltage control method is developed for a three-phase inverter supply system. The inverter supply system consist of a Permanent Magnet Generator, a three-phase rectifier, a three-phase inverter plus LC-filter and a three-phase transformer in series. This system supplies power to a network or to a stand-alone load. The main focus of this thesis is on the control aspects of the inverter and the LC-filter. Different voltage control systems are investigated and compared to each other. From these methods the proposed voltage control method is developed where only the output voltages are measured to establish good voltage control. All these voltage control methods are also simulated with a software package. The proposed voltage control method compares very well with other voltage control methods. The results that are obtained in the simulations are satisfactory. The proposed voltage control method is also implemented in an 8 kW laboratory scale model and, again, very good practical results are obtained. A TMS320F240 nsp controller is used to implement the proposed voltage control method. The controller compensates well for load steps, and these results compare well to an alternative voltage control method, which was also evaluated practically. / AFRIKAANSE OPSOMMING: In hierdie tesis IS 'n nuwe spanningsbeheermetode ontwikkel VIr 'n drie-fase wisselrigter kragtoevoerstelsel. Die wisselrigter kragtoevoerstelsel bestaan uit 'n Permanent Magneet Generator, 'n drie-fase gelykrigter, 'n drie-fase wisselrigter plus Le-filter, en 'n drie-fase transformator in serie. Hierdie stelsel voorsien krag aan 'n netwerk sowel as aan 'n alleenstaande las. Die hooffokus van hierdie tesis is op die beheeraspekte van die wisselrigter en Le-filter. Verskillende spanningsbeheermetodes is deeglik ondersoek en vergelyk met mekaar. Uit hierdie metodes is dan die voorgestelde beheermetode ontwikkel waar slegs die uittreespanning gemeet word om goeie spanningsbeheer te kan doen. Al hierdie spanningsbeheermetodes is dan gesimuleer met 'n sagteware pakket. Die voorgestelde spanningsbeheermetode vergelyk baie goed met die ander spanningsbeheermetodes. Die resultate verky in die simulasies is ook baie bevredigend. Die voorgestelde beheermetode is ook geïmplementeer op 'n 8 kW laboratorium skaalmodel en weereens is baie goeie praktiese resultate verky. 'n TMS320F240 DSP-beheerder is gebruik om die voorgestelde beheermetode mee te implementeer. Die beheerder kompenseer baie goed vir lastrappe en vergelyk ook goed met 'n ander spanningsbeheermetode wat prakties ge-evalueer is.

Thesis (MScEng)--University of Stellenbosch, 2003. / ENGLISH ABSTRACT: This thesis discusses the analysis and design of a voltage regulator based on an AC-to-AC converter. A background study was performed on the best topology for the purpose. The chosen topology was analysed and the converter was designed in detail. A voltage sign-detector and an over-current detector were designed and built. They were used for control and protection. Three methods of control were investigated. The first was a slow but reliable method of computing the RMS value of the input voltage and then using that value and the RMS value of the desired output voltage to compute the duty ratio of the converter. The second method was fast and is an open-loop control method, where the measured input voltage and a reference value of the desired output voltage are used to compute the duty ratio. The third method is a closed-loop control method in which the input voltage, output voltage and the same reference values used in the second method are used to compute the duty ratio. All of these methods were implemented and tested. / AFRIKAANSE OPSOMMING: Hierdie tesis bespreek die analise en die ontwerp van 'n spannings reguleerder wat gebaseer is op 'n WS-na-WS omsetter. 'n Ondersoek was ingestelom die beste topologie te vind vir die doel. Die topologie wat gekies is, is toe geanaliseer en die omsetter is in detailontwerp. 'n Spannings-tekendetektor baan as ook 'n oorstroombeskermings baan was ontwerp en is gebou. Hierdie bane word gebruik vir die beheer en die beveiliging van die stelsel. Daar is drie metodes van beheer wat ondersoek is. Die eerste metode is stadig, maar betroubaar. Die metode bereken die WGK waarde van die intree spanning en gebruik dan die waarde en die WGK van die gewenste uittree spanning om die diens siklus van die omsetter uit te werk. Die tweede metode van beheer is vinnig en is 'n oop-lus metode van beheer. Hierdie metode maak gebruik van die gemete intreespanning en 'n verwysing van die gewensde uittree spanning om die dienssiklus uit te werk. Die derde metode is 'n geslote-lus beheer wat van die gamete intreespanning, die gemete uittreespanning en die verwysing soos die in die tweede beheermetode gebruik maak on die diens siklus uit te werk. AI die metodes was geimplementeer en getoets.

Made available in DSpace on 2014-06-11T19:30:49Z (GMT). No. of bitstreams: 0 Previous issue date: 2013-10-25Bitstream added on 2014-06-13T19:46:56Z : No. of bitstreams: 1 yoshimura_vl_dr_ilha.pdf: 20355281 bytes, checksum: 3940d4cd88accd5b22ddd0f62457078b (MD5) / Este trabalho aborda os Sistemas Chaveados Afins, em particular com questões de desempenho e observação de estado. Inicialmente, uma revisão do estado da arte foi realizada, que contém uma observação quanto à possibilidade de não existência de pontos de equilíbrio. Devido a esse fato, uma extensão das definições de estabilidade foi utilizada. Em seguida, questões geométricas foram levantadas para Sistemas Chaveados Lineares e, posteriormente estendidas para os Afins. Estas questões geométricas possibilitaram a verificação de alterações nas leis de chaveamento de forma a beneficiar o desempenho do sistema. Com a inserção da taxa de convergência garantida nas Desigualdades Matriciais Lineares existentes em trabalhos anteriores, chegou-se ao estabelecimento dos parâmetros de desempenho a serem aperfeiçoados. Na sequência, a composição de leis de chaveamento foi proposta através duas técnicas: a Função de Lyapunov Quadrática Chaveada e a Função de Lyapunov com Atratores Chaveados. Esta composição mostrou-se eficiente para a busca de um melhor compromisso entre parâmetros de desempenho conflitantes e, com efeito, pode melhorar um e outro parâmetro conflitantes. Por fim, uma técnica para a observação de estado em Sistemas Chaveados Afins foi proposta: o Observador de Luenberger Chaveado. Este observador foi analisado para os casos de reconstrução de estado, controle baseado em observação de estado e controle baseado em observação de estado na presença de modos não-Hurwitz. Para o primeiro caso, relaxações das Desigualdades Matriciais Lineares foram propostas com o uso do Lema da Projeção Recíproca e do Lema de Finsler. Ainda, uma otimização de norma das matrizes de ganho da saída foi feita, com o uso de Desigualdades Matriciais Lineares aplicadas à norma de Frobenius dessas matrizes... / This work deals with the Switched Affine Systems, particularly with their performance and state observation. Initially, a state-of-the-art review was developed, where an important point was raised on the possibility of absence of equilibrium points. This way, the stability concept was slightly modified. Then, geometrical questions were studied for the Switched Linear Systems and, subsequently extended for the Switched Affine Systems. Those geometrical questions allowed the verification of switching law alterations in such a way that their performance was enhanced. Thereofore, with the guaranteed convergence rate insertion in the existent LinearMatrix Inequalities in previous works, performance parameters to be increased were established. Following, a switching law composition method was proposed through two techniques: the Switched Quadratic Lyapunov Function and the Lyapunov Function with Switched Attractors. That composition showed itself efficient in a search for a better trade-off between conflicting performance parameters and, in fact, it may simultaneously enhance them. Finally, a technique for state observation in Switched Affine Systems was proposed: the Switched Luenberger Observer. This observer was analysed for the cases of state reconstruction, observer-based control and observer-based control in the presence of non-Hurwitz modes. For the first case, Linear Matrix Inequalities relaxations were proposed through the usage of the Reciprocal Projection Lemma and the Finsler’s Lemma. Yet, a norm optimization of the output gain matrices was achieved through the usage of Linear Matrix Inequalities applied to the Frobenius norm of those matrices. All the study was done with applications to the control of DC-DC converters, immediate examples of the Switched Affine Systems theory, given their nature

Made available in DSpace on 2014-06-11T19:22:33Z (GMT). No. of bitstreams: 0 Previous issue date: 2013-11-28Bitstream added on 2014-06-13T20:49:15Z : No. of bitstreams: 1 000739759.pdf: 6607353 bytes, checksum: 355eecaadbec5a4f91eebb32742a33b9 (MD5) / A transmissão de energia elétrica em corrente contínua em alta tensão é uma tecnologia utilizada para atender os requisitos cada vez mais rigorosos para a transmissão de energia elétrica, como por exemplo: adoção de fontes de energia localizadas em regiões remotas, a expansão das cargas industriais e urbanas, transmissão de energia elétrica por canais marítimos, etc. Esta tecnologia tem-se demonstrado comprovadamente eficaz e altamente confiável com a capacidade de modular a potência transmitida de forma rápida e precisa, apresentando características vantajosas do ponto de vista técnico e econômico. Porém, este tipo de tecnologia possui a desvantagem operacional de gerar conteúdo harmônico no sistema devido ao comportamento não linear dos conversores de potência utilizados para a conversão de corrente alternada em corrente contínua. Neste contexto, com o intuito de aplicar a metodologia de cálculo do conteúdo harmônico para o conversor de seis pulsos, o objetivo central do trabalho consiste no desenvolvimento de um simulador computacional para a determinação das harmônicas de correntes geradas pelas estruturas chaveadas dos conversores estáticos trifásicos, considerando condições não ideais de operação. O principal diferencial deste aplicativo computacional é proporcionar um ambiente visual interativo e intuitivo para a realização das simulações, apresentando de uma forma clara o objetiva os resultados dos parâmetros calculados pelo aplicativo e o resultado de cálculo do conteúdo harmônico de corrente gerado pelos conversores de potência. / The power transmission in high voltage in direct current is a technology used to meet the increasingly stringent requirements for the transmission of electricity, such as: Adoption of energy sources located in remote areas, the expansion of industrial loads and urban, electrical transmission channels, marine, etc. This technology has demonstrated proven effective and highly reliable with the ability to model the power transmitted quickly and accurately, with advantageous features in terms of technical and economic. However, this type of technology has the disadvantage of generating harmonic content operating in the system due to nonlinear behavior of power converters used to convert alternating current into direct current. In this context, in order to apply the methodology of calculation of harmonic content for the six-pulse converter, the central objective of the work is to develop a software to determine the harmonic currents generated by switching structures of three-phase static converters, considering non-ideal operation. The main distinguishing feature of this application is to provide a computational interactive and intuitive visual environment to perform the simulations, showing a clear objective results of the parameters calculated by the application and the result of calculating the current harmonic content generated by power converters.

Made available in DSpace on 2014-06-11T19:22:36Z (GMT). No. of bitstreams: 0 Previous issue date: 2014-01-20Bitstream added on 2014-06-13T20:27:27Z : No. of bitstreams: 1 paz_rr_me_bauru.pdf: 1210657 bytes, checksum: dda81099a2ae7f6313bd197c95e5e2ab (MD5) / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) / O objetivo deste trabalho consiste em realizar a análise de topologias de conversores CC-CC chaveados elevadores, com elevado ganho, para servirem de estágio de entrada em aplicações de sistemas de energias alternativas. As arquiteturas dos conversores são analisados e comparadas com relação aos seus aspectos construtivos e operacionais, incluindo os esforços de tensão e corrente nos interruptores e a característica da forma da onda de corrente drenada da fonte de alimentação. Os conversores elevadores avaliados na proposta são construídos empregando técnicas de arquitetura celular, considerando a associação paralela das células de potência de conversores elevadores, especificamente a célula Boost. Os modos de operação são analisados considerando o modo de condução contínua, modo de condução crítica e modo de condução descontínua. Para a associação paralela, a operação das células de potência é delimitada através da técnica de entrelaçamento. Os comportamentos dos conversores são avaliados considerando o desenvolvimento de modelos baseados na estratégia de modelação por valores médios, e ratificados por simulações computacionais / The goal of this work is to develop the analysis and modeling of step-up switched DC-DC converters architectures, with high gain, to serve as input stage in renewable energy systems applications. The power converter architectures are analyzed and compared with respect to their construction and operational aspects, including voltage and current stresses in the switches and the characteristic of the current waveform draw from the power source. The step-up converters are constructed using cellular archiecture, considering the parallel association of power cells, specifically the Boost power cell. The operating modes are analyzed considering continuous conduction mode, discontinuous conduction mode and critical conductional mode. In parallel association, the operation of power cells is performed using interleaved technique. The behavior of the converters are evaluated considering the development of models based on average modeling strategy averages, and ratified by computer simulations

Esta dissertação de mestrado propõe desenvolver a modulação vetorial (space vector – SV) para um inversor trifásico multinível híbrido assimétrico de nove níveis por fase com ponte-H em cascata (cascaded H-bridge – CHB). A verificação do desempenho ocorre através de simulações em software de simulação matemática, e posterior comparações entre duas simulações realizadas, como também a comparação da simulação de melhor desempenho com simulações obtidas com a modulação por síntese de formas de onda quase-quadradas e a modulação híbrida. Para tanto, inicialmente são revisadas as topologias de inversores de frequência mais tradicionais na literatura, identificando as suas características para justificar a escolha da topologia híbrida assimétrica. Posteriomente são revisados os métodos de modulação para inversores de frequência, identificando na modulação vetorial vantagens para sintetização das tensões de linha. Após, são relacioanados trabalhos envolvendo a modulação space vector aplicada em inversores multiníveis. Em seguida, a modulação SV é desenvolvida para o inversor trifásico multinível híbrido assimétrico de nove níveis por fase com ponte-H em cascata, sendo realizadas as seguintes etapas: definição dos possíveis vetores de comutação (estados de chaveamento) do inversor proposto no espaço tridimensional e no plano α-β; identificação dos planos limites e dos planos de separação dos setores no plano α-β; obtenção das matrizes de decomposição e; definição da sequência de comutação. Os resultados, obtidos por meio de software de simulação matemática, dos gráficos das tensões de fase e tensões de linha, assim como os valores de distorção harmônica total (total harmonic distortion – THD), fator de distorção de primeira ordem (first order distortion factor – DF1), tensão de modo comum, espectro harmônico dos sinais das tensões (de fase e de linha) são analisados, sendo os índices de THD, DF1 e tensão de modo comum comparados entre duas sequências de comutação diferentes para o inversor proposto. Também, os valores desses índices são comparados com outras técnicas de modulação (modulação por síntese de formas de onda quase-quadradas (QQ) e a modulação híbrida). O desenvolvimento e os resultados das simulações da modulação SV na topologia híbrida assimétrica de nove níveis proposta, assim como as análises das comparações, apontam resultados satisfatórios, identificando um potencial grandioso da modulação SV desenvolvida. / Submitted by Ana Guimarães Pereira (agpereir@ucs.br) on 2017-09-29T13:33:41Z No. of bitstreams: 1 Dissertacao Fernando Covolan Rosito.pdf: 6134096 bytes, checksum: e34621dae75a6139302a387eb73107b7 (MD5) / Made available in DSpace on 2017-09-29T13:33:41Z (GMT). No. of bitstreams: 1 Dissertacao Fernando Covolan Rosito.pdf: 6134096 bytes, checksum: e34621dae75a6139302a387eb73107b7 (MD5) Previous issue date: 2017-09-29 / This dissertation proposes to develop the space vector (SV) modulation for a three phase hybrid asymmetric multilevel inverter of nine levels per phase with cascaded H-bridge (CHB). Performance verification occurs through software simulations, and subsequent comparisons between two simulations performed, as well as the comparison of the best performance simulation with simulations obtained with the step wave modulation and hybrid modulation. To do this, the topologies of more traditional frequency inverters are reviewed in the literature, identifying their characteristics to justify the choice of hybrid asymmetric topology. Subsequently, the modulation methods for frequency inverters are reviewed, identifying the advantages of vector modulation for the synthesis of line voltages. Afterwards, works involving the space vector modulation applied in multilevel inverters are related. Then, the SV modulation is developed for a three phase hybrid asymmetric multilevel inverter of nine levels per phase with cascaded H-bridge (CHB). The following steps are performed: definition of the possible switching vectors (switching states) of the proposed inverter in three-dimensional space and in the plane α-β; identification of boundary planes and separation plans of sectors in the α-β plane; obtaining the decomposition matrices e; definition of the switching sequence. The results, obtained through mathematical simulation software, of the phase voltages and line voltages graphs, as well as the values of total harmonic distortion (THD), first order distortion factor (DF1), common mode voltage, harmonic spectrum of the voltage signals (phase and line) are analyzed, with THD, DF1 and common mode voltage indices being compared between two different switching sequences for the proposed inverter. In addition, the values of these indices are compared with other modulation techniques (step wave modulation and hybrid modulation). The development and results of the SV modulation simulations in the nine-level hybrid asymmetric topology proposed, as well as the comparative analyzes, indicate satisfactory results, identifying a great potential for SV modulation developed.

Thesis (MTech (Electrical Engineering))--Cape Peninsula University of Technology. / Front-end power converters for nanosatellite applications demand better performance in accurate reference tracking because of the wide-range input voltage of the solar panels. The very tight output voltage requirements demand a robust, reliable, and high-efficiency converter. The control of such a converter is very complex and time consuming to design. Two commonly used control modes are current and voltage control. The design and implementation of a voltage controller for DC–DC power converter is simpler but compared to current mode controller, does not do provide for overcurrent protection. A single-ended primary inductance converter (SEPIC) was selected for this research work because of its ability to buck or boost the input voltage coupled with the ability to provide noninverting polarity with respect to the input voltage. Parameter values for the converter studied are used to analyse and design both the voltage and the current mode controllers for the nanosatellite front-end power converter. Output voltage reference tracking with step and ramp changes in the input voltage is evaluated in terms of the time taken to reach steady-state after the induced disturbances and either the overshoot or undershoot of the output voltage reference. The design of analogue pulse width modulation (PWM) study was carried out in order to drive the metal-oxide-semiconductor field-effect transistor (MOSFET) switch. For the two controllers, changes in the reference output voltage in response to load changes are also studied. An examination of the effects of solar radiation on the MOSFET switch was conducted; this switch is the main component of the front-end DC–DC power converter for a nanosatellite. At the more general level the examination also provided information on the response of the semiconductor technology in space application. The overall purpose of studying the MOSFET switch was to investigate the mechanisms that will facilitate its ability of switching ‘on’ and ‘off’ without failure as a result of solar radiation. The effects of solar radiation on MOSFET device in space, has resulted in more malfunctions of these devices in the past five years than over the preceding 40 years.

Thesis (MTech (Electrical Engineering))--Cape Peninsula University of Technology, 2017. / High Voltage Direct Current (HVDC) transmission is a safe and efficient technology designed to deliver large amounts of electrical power over long distances with minimal losses and at low costs. HVDC links require converters and filters at both terminal stations. The core component of the HVDC system is the power converter that connects the DC and AC systems together. The conversion from AC to DC, and vice versa, is achieved mainly through electronic switches called thyristors. The thyristor-based Line Commutated Converter (LCC) is a mature and trusted technology for HVDC transmission throughout the world. HVDC converters are bidirectional and can function in either rectification (AC to DC) or inversion mode (DC to AC). This is achieved when the voltage polarity across the converter gets swapped by the controllers, because current cannot change its direction in thyristors. In this thesis an analytical model of the HVDC converters is developed in the frequency domain by modelling it in DIgSILENT. The objective is to study the harmonics induced to the AC side from HVDC converters. Therefore, it is important in the real world to understand the principles, what causes harmonics to be generated in HVDC and transferred to the HVAC system. The objective of this thesis is to investigate the effectiveness of mitigation techniques used, on how they reduce harmonics by keeping these harmonic levels within specified values admissible by international standards (e.g. IEEE, etc).

Orientador: Edvaldo Assunção / Banca: Marcelo Carvalho Minhoto Teixeira / Banca: Rodrigo Cardim / Banca: Clóvis Antonio Petry / Banca: Cristiano Quevedo Andrea / Resumo: Este trabalho aborda os Sistemas Chaveados Afins, em particular com questões de desempenho e observação de estado. Inicialmente, uma revisão do estado da arte foi realizada, que contém uma observação quanto à possibilidade de não existência de pontos de equilíbrio. Devido a esse fato, uma extensão das definições de estabilidade foi utilizada. Em seguida, questões geométricas foram levantadas para Sistemas Chaveados Lineares e, posteriormente estendidas para os Afins. Estas questões geométricas possibilitaram a verificação de alterações nas leis de chaveamento de forma a beneficiar o desempenho do sistema. Com a inserção da taxa de convergência garantida nas Desigualdades Matriciais Lineares existentes em trabalhos anteriores, chegou-se ao estabelecimento dos parâmetros de desempenho a serem aperfeiçoados. Na sequência, a composição de leis de chaveamento foi proposta através duas técnicas: a Função de Lyapunov Quadrática Chaveada e a Função de Lyapunov com Atratores Chaveados. Esta composição mostrou-se eficiente para a busca de um melhor compromisso entre parâmetros de desempenho conflitantes e, com efeito, pode melhorar um e outro parâmetro conflitantes. Por fim, uma técnica para a observação de estado em Sistemas Chaveados Afins foi proposta: o Observador de Luenberger Chaveado. Este observador foi analisado para os casos de reconstrução de estado, controle baseado em observação de estado e controle baseado em observação de estado na presença de modos não-Hurwitz. Para o primeiro caso, relaxações das Desigualdades Matriciais Lineares foram propostas com o uso do Lema da Projeção Recíproca e do Lema de Finsler. Ainda, uma otimização de norma das matrizes de ganho da saída foi feita, com o uso de Desigualdades Matriciais Lineares aplicadas à norma de Frobenius dessas matrizes... (Resumo completo, clicar acesso eletrônico abaixo) / Abstract: This work deals with the Switched Affine Systems, particularly with their performance and state observation. Initially, a state-of-the-art review was developed, where an important point was raised on the possibility of absence of equilibrium points. This way, the stability concept was slightly modified. Then, geometrical questions were studied for the Switched Linear Systems and, subsequently extended for the Switched Affine Systems. Those geometrical questions allowed the verification of switching law alterations in such a way that their performance was enhanced. Thereofore, with the guaranteed convergence rate insertion in the existent LinearMatrix Inequalities in previous works, performance parameters to be increased were established. Following, a switching law composition method was proposed through two techniques: the Switched Quadratic Lyapunov Function and the Lyapunov Function with Switched Attractors. That composition showed itself efficient in a search for a better trade-off between conflicting performance parameters and, in fact, it may simultaneously enhance them. Finally, a technique for state observation in Switched Affine Systems was proposed: the Switched Luenberger Observer. This observer was analysed for the cases of state reconstruction, observer-based control and observer-based control in the presence of non-Hurwitz modes. For the first case, Linear Matrix Inequalities relaxations were proposed through the usage of the Reciprocal Projection Lemma and the Finsler's Lemma. Yet, a norm optimization of the output gain matrices was achieved through the usage of Linear Matrix Inequalities applied to the Frobenius norm of those matrices. All the study was done with applications to the control of DC-DC converters, immediate examples of the Switched Affine Systems theory, given their nature / Doutor

Orientador: Flávio Alessandro Serrão Gonçalves / Coorientador: Diego Colón / Banca: Claudionor Francisco do Nascimento / Banca: Paulo José Amaral Serni / Resumo: O objetivo deste trabalho consiste em realizar a análise de topologias de conversores CC-CC chaveados elevadores, com elevado ganho, para servirem de estágio de entrada em aplicações de sistemas de energias alternativas. As arquiteturas dos conversores são analisados e comparadas com relação aos seus aspectos construtivos e operacionais, incluindo os esforços de tensão e corrente nos interruptores e a característica da forma da onda de corrente drenada da fonte de alimentação. Os conversores elevadores avaliados na proposta são construídos empregando técnicas de arquitetura celular, considerando a associação paralela das células de potência de conversores elevadores, especificamente a célula Boost. Os modos de operação são analisados considerando o modo de condução contínua, modo de condução crítica e modo de condução descontínua. Para a associação paralela, a operação das células de potência é delimitada através da técnica de entrelaçamento. Os comportamentos dos conversores são avaliados considerando o desenvolvimento de modelos baseados na estratégia de modelação por valores médios, e ratificados por simulações computacionais / Abstract: The goal of this work is to develop the analysis and modeling of step-up switched DC-DC converters architectures, with high gain, to serve as input stage in renewable energy systems applications. The power converter architectures are analyzed and compared with respect to their construction and operational aspects, including voltage and current stresses in the switches and the characteristic of the current waveform draw from the power source. The step-up converters are constructed using cellular archiecture, considering the parallel association of power cells, specifically the Boost power cell. The operating modes are analyzed considering continuous conduction mode, discontinuous conduction mode and critical conductional mode. In parallel association, the operation of power cells is performed using interleaved technique. The behavior of the converters are evaluated considering the development of models based on average modeling strategy averages, and ratified by computer simulations / Mestre