Avec le développement de l’éolien, les prescriptions techniques de raccordement de cette technologie obligeront le maintient de sa connexion lors d’incidents sur la tension du réseau électrique. L’enjeu pour le gestionnaire du réseau est de pouvoir utiliser tous les générateurs pour garantir la stabilité du système électrique.A partir d’un modèle dynamique d’une éolienne à base de Machine Asynchrone à Double Alimentation (MADA), une commande vectorielle améliorée a été proposée en prenant en compte la dynamique du flux statorique engendrée par la chute de tension. Les performances supérieures en terme de maintient de la production ont été établies par comparaison avec la méthode de commande classique. Son domaine d’utilisation a été également déterminé.Pendant les creux de tension importants, une protection matérielle (crowbar) est implémentée avec un contrôle de la démagnétisation de la MADA. En outre, de la puissance réactive peut être produite à la fois par la MADA et par le convertisseur connecté au réseau électrique au cours de la défaillance du réseau.Un contrôle vectoriel à hystérésis des courants pour les deux convertisseurs électroniques multiniveaux est proposé et évalué pour améliorer la réponse dynamique de ces convertisseurs et pour réduire les effets des variations des paramètres sur les performances de la commande. Selon la durée du défaut, des objectifs différents de contrôle doivent être réalisés en priorité pour empêcher des surintensités rotoriques et pour fournir de la puissance réactive. Une reconfiguration complète du dispositif de commande de cette éolienne est détaillée pour renforcer le maintient de la production éolienne lors de défaillances / With the massive development of wind energy, the technical requirements for connecting this technology will require the improvement of the fault ride-through capability of grid-connected wind turbines. The task for the grid system operator is to use all generators to ensure the stability of the electrical system.From a dynamic model of a Doubly Fed Induction Generator (DFIG) based wind generator, an improved vector control has been proposed by taking into account the dynamics of the magnetic flux, which are generated by the voltage dip. The higher performances have been established by comparison with the conventional control method. The operation domain was also determined.During serious voltage dips, a hysteresis control scheme of the active Crowbar is proposed to protect the system within a demagnetization method of the DFIG. Moreover, additional reactive power can be produced both by the MADA and the grid-side converter in order to support the electric network during the grid fault.A space vector hysteresis current control strategy of both three-level converters is proposed to improve the dynamic response of the system and to reduce the parameter variation effects on the control performanceDepending on the grid fault duration, different control objectives have to be achieved with priority to restrain the rotor over-current or to supply reactive power. Then the reconfiguration scheme of the control strategies of high power DFIG wind turbine system is proposed to enhance the fault ride-through capability of the DFIG system. With this specific methodology, the DFIG can stay connected and can supply maximal reactive current during voltage dips to help voltage recovery

The growing demand for power and increased environmental concerns gave an impetus to the growth of clean and renewable energy sources like wind, solar etc. There is a remarkable increase in the penetration of wind energy systems in the last decade and this trend is bound to increase at a much faster pace in future. This ever increasing penetration of wind power generating systems pose multi-fold challenges related to operational and stability aspects of the grid. Present day wind energy systems mostly comprise of variable speed wind generators. A large fraction of present day variable speed wind turbine generators use doubly fed induction machine (DFIM). This thesis deals with modeling and grid coordination aspects of variable speed wind gener- ators. In particular, the short coming of the existing steady state equivalent circuit of a DFIM is identified and subsequently, an accurate equivalent circuit of a DFIM is proposed. Relevant mathematical basis for the proposed model is presented. The proposed steady state equivalent circuit of a doubly fed induction machine is further validated using dynamic simulations of a standalone machine. Based on the proposed equivalent circuit, two approaches for computing the initial values of state variables of a DFIM is proposed. The first approach is a linear formulation where the losses due to resistance of the stator and rotor windings are neglected. The second approach is a non-linear formulation which takes the losses into consideration. Further, analysis is carried out on grid connected doubly fed induction generators (DFIG). A framework to incorporate DFIG based variable speed wind farms in the steady state power flow analysis is proposed. The proposed framework takes into consideration important aspects such as voltage dependent reactive power limits and mode of reactive power control of associated converters. Some of the challenges in a grid connected DFIG especially during su- persynchronous mode of operation are identified. The advantages of a non-Maximum Power Point Tracking (MPPT) mode of operation under certain operating conditions is highlighted. Finally, aspects pertaining to coordination of grid connected variable speed wind generators are studied. A trust region framework to determine the reference values to the control loops of converters in a variable speed wind generator is proposed. The proposed framework identifies the reference values considering other reactive power controllers in the grid. Moreover, the proposed framework ensures that the steady state voltage stability margin is maximized. On the computational front, trust region algorithms ensure global convergence. The mathematical models and initialization algorithms proposed in this thesis are tested on standalone systems under various control scenarios. The algorithms proposed to incorporate a grid connected DFIG in steady state analysis tools have been tested on a sample 6-bus system and a practical 418-bus equivalent system of Indian southern grid.

Orientador: Prof. Dr. Alfeu Joãozinho Sguarezi Filho / Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Engenharia Elétrica, 2015. / Inicialmente, este trabalho apresenta aspectos de viabilidade e técnicos para a construção de sistemas de geração eólicos. Nele é disposto uma breve literatura de alguns dos conversores elétricos utilizados para diferentes tipos de geradores. Por fim, este trabalho propõe um método de ajuste de ganhos dos controladores proporcionais-integrais através do emprego do método por compensação de polos da função de transferência do sistema em malha fechada, para o conversor do lado do rotor, com objetivo de garantir controle estável do fluxo das potências ativa e reativa de estator do GIRB. Também, serão apresentadas as malhas de controle do conversor conectado à rede elétrica. Resultados obtidos através de simulação computacional deste sistema de controle são apresentados para validar a proposta. / This work includes feasibility and technical aspects for the construction of wind generation systems. In it, there is disposed a brief literature some electrical converters used for different types of generators. It also presents a design method for the gains of the proportional-integral controllers used in power vector control of DFIG connected to the grid in wind power generation systems where GIRB is connected directly to the power grid and its rotor through a converter called "back to back". The rotor controllers will be adjusted with the use of the method for compensating poles of the system's transfer function in closed loop. Also, the converter control loops connected to the grid will be displayed. Results from computer simulation of this control system are presented to validate the proposal.

Orientador: Dr. Alfeu J. Sguarezi Filho / Dissertação (mestrado) - Universidade Federal do ABC, Programa de Pós-Graduação em Engenharia Elétrica, 2015. / Neste trabalho apresenta-se uma configuração do sistema de armazenamento de energia com baterias aplicado a sistemas de geração de energia eólica empregando conversores de fonte Z conectados à rede elétrica. Os geradores de indução gaiola de esquilo, são frequentemente utilizados nos sistemas de geração de energia eólica, por sua robustez, simplicidade, peso menor e custo baixo. Este é conectado diretamente ao conversor de potência bidirecional back to back, pode fornecer potências ativa e reativa à rede elétrica. Além disso, é estudado o conversor de fonte Z aplicado nesta topologia. No entanto, a implantação de sistemas de armazenamento de energia com baterias nos sistemas de geração de energia eólica na atualidade é muito importante, devido à possibilidade de oscilações da tensão e corrente na rede elétrica, portanto, estes podem ajudar à estabilização das tensões, correntes e a frequência na rede elétrica. Este sistema é conectado ao conversor back to back por meio de um conversor elevador-abaixador de corrente contínua. Para controlar a velocidade no eixo do rotor no gerador de indução, a estratégia é baseada no controle direto de torque. Enquanto, para o conversor do lado da rede é empregada a técnica de controle orientado pela tensão. Para o banco de baterias é utilizado o controle da tensão no barramento de corrente contínua e do fluxo na corrente da bateria, utilizando controladores do tipo PI. Com os novos desenvolvimentos tecnológicos nas chaves de potência, são apresentadas topologias de conversores CC-CA como o conversor de fonte Z, este tipo de conversor corrige algumas limitações do conversor back to back, com as características de elevador/abaixador de tensão, sem o uso de dispositivos de comutação, são permitidos os curto-circuitos na chaves, empregando novas técnicas de modulação, e reduz a quantidade harmônica injetada na rede elétrica. Os estudos foram realizados por meio de técnicas de simulação computacional usando modelos matemáticos do sistema estudado para a validação das estratégias de controle empregadas em diferentes condições de operação. Para as simulações empregou-se a ferramenta computacional SimPowerSystems R do Matlab/Simulink R . / This paper presents a battery energy storage system applied to wind power generation based on Z-source inverter connected to the power grid. The squirrel cage induction generators, often used in wind power generation systems, for its robustness, simplicity, lower weight and low cost. This is connected directly to the bidirectional power converter back to back, therefore, and provides active and reactive powers to grid. In addition, it is studied the Z-source inverter applied in this topology. However, the implementation of battery energy storage systems in wind power generation systems, currently is very important, due to possibility of the voltage and current fluctuations in the power grid, so these may to stabilisation of current, voltage and frequency on the grid. This system is connected to back to back converter through a DC-DC converter (buck-boost). For the rotor speed control on induction generator, the strategy is based on direct torque control. While, for the grid side converter is employed the technique of voltage oriented control. For the battery bank voltage control is used on DC-link voltage and battery current flow, through PI type controllers. With the new technological developments in the keys of power, DC converters topologies are presented as the Z-source inverter, this type converter fixes some limitations of the converter back to back, with the characteristics of buck-boost voltage, without the use of switching devices, allowed short-circuits on converter, using new modulation techniques, and reduces the amount injected harmonic to power grid. The studies were performed by means of computer simulation techniques using mathematical models of studied system to validate the control strategies employed in different operating conditions. For the simulations was used the computational tool SimPowerSystems R do Matlab/Simulink R .

Conselho Nacional de Desenvolvimento Científico e Tecnológico / The Doubly Fed Induction Generator (DFIG) is one of the most frequently deployed large grid connected Wind Turbines (WT) concept. The implementation of classical vector control techniques, have been proven to work well for considering the initial grid code requirements. However, recently many grid operators are requiring WT to remain connected during grid faults, resulting in low voltage fault ride through capability (LVRT). In addition, it is required for WTs to contribute with reactive support during the fault. As a result, the improvements of the transient behavior of the DFIG, the power converter protection and the controller design have become a challenge for WT manufactures. This work presents a high performance stationary frame non-linear controller for doubly fed induction generator, which improves the steady state and transient behavior of the grid connected wind turbines especially under unbalance voltage dips resulting from network unbalance faults. A controller design procedure that guarantees the DFIG stability under uncertainties and disturbances at grid side is presented in details. Furthermore, it is demonstrated in the thesis that with the proposed controller different goals such as control of grid side active and reactive power, minimization of torque pulsation under unbalance operation and improvement of the low voltage ride through capability can be easily achieved. Simulations and experimental results are given to illustrate the good performance of a grid connected DFIG with the proposed controller. / Turbinas eólicas modernas que utilizam o Gerador de Indução Duplamente Alimentado (GIDA) são amplamente empregadas para geração de energia elétrica. Essa grande parcela de aero-geradores baseados na tecnologia GIDA e técnicas de controle vetorial clássicas já comprovaram ao longo dos últimos anos que este conceito apresenta méritos e foi capaz de satisfazer requisitos de conexão de turbinas eólicas com a rede elétrica inicialmente elaborados. No entanto, atualmente, os operadores do sistema estão revisando os códigos de rede em muitos países, introduzindo novos requisitos e estreitando os limites definidos inicialmente. Basicamente, os geradores eólicos estão assumindo maiores responsabilidades no sistema de potência. A capacidade de sobrevivência e suporte de reativos durante afundamentos de tensão, introduzidos nos novos códigos de rede, tornaram-se os maiores desafios para os fabricantes de aero-geradores com tecnologia GIDA. Essa tese de doutorado tem como principal objetivo desenvolver estratégias de controle para melhorar o desempenho dinâmico do Gerador de Indução Duplamente Alimentado conectado a rede elétrica frente aos requisitos de sobrevivência aos afundamentos de tensão no Ponto de Conexão (PC). Para isso, essa tese propõe um controlador não linear de alto desempenho baseado em modos deslizantes para o controle do GIDA em eixos estacionários. O controlador proposto melhora o comportamento transitório do GIDA principalmente durante distúrbios na tensão no PC. O projeto do controlador é desenvolvido de forma a garantir a estabilidade do GIDA conectado à rede elétrica mesmo considerando incertezas associadas ao modelo nominal. Outras características do controlador proposto, além da robustez, são a sua simplicidade de implementação e a sua excelente resposta transitória. Ainda, dois modos de operação são propostos para geração de referência do GIDA, MODO 1 para operação em condições normais da tensão da rede elétrica, MODO 2 com uma metodologia para o cálculo das referências de corrente de forma a dar suporte de reativos durante faltas próximas ao PC. O comportamento dinâmico do sistema e o desempenho da estratégia de controle são verificadas através de simulações e também experimentalmente.

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This doctoral thesis deals with the study, analysis and development of a new hybrid topology for voltage regulation of stand-alone microgeneration systems employing self-excited induction generators. The hybrid topology proposed considers a three-phase four-wire system and employs a distribution static synchronous compensator (DSTATCOM) in combination with banks of switchable capacitors (BCC) to perform the regulation of the terminal voltages of the induction generator. As a result of using the proposed topology, it is expected the regulation of the amplitude of the terminal voltages of the induction generator, with effective reduction of the power processed by DSTATCOM, regardless of the characteristic of the applied load. Therefore, it is considered the compensation of reactive currents of the system in terms of phase, amplitude and shape, performed by a suitable control system. The control structure applied to control the DSTATCOM and the switching of BCC ensures the regulation of voltages with low harmonic distortion (THD) and reduced distortion factor among voltages, in addition to keeping the generator currents sinusoidal and balanced. This thesis also investigates two distinct forms of frequency control using the electronic load control: (i) auxiliary load controlled by chopper element connected to the DC bus DSTATCOM and (ii) auxiliary load controlled by chopper element connected to the AC bus system through non-controlled three-phase rectifier. Simulation and experimental results are presented to validate and demonstrate the suitable performance of the proposed hybrid topology in the regulation of voltages and system frequency. The system is tested by load transient including three-phase and single-phase loads, linear and non-linear loads, resistive and reactive loads. / Esta tese de doutorado trata do estudo, análise e desenvolvimento de uma nova topologia híbrida de regulação das tensões de sistemas isolados de microgeração empregando geradores de indução auto-excitados. A topologia híbrida proposta considera um sistema trifásico a quatro fios e emprega um compensador síncrono estático de distribuição (DSTATCOM) em associação a bancos de capacitores comutáveis (BCC) para efetuar a regulação das tensões terminais do gerador de indução. Como resultado da utilização da topologia proposta, espera-se a regulação da amplitude das tensões terminais do gerador, com efetiva redução da potência processada pelo DSTATCOM, independentemente da característica da carga aplicada. Considera-se, portanto, a compensação de correntes reativas do sistema em termos de fase, amplitude e forma, realizada a partir de sistema de controle adequado. A estrutura de controle aplicada ao controle do DSTATCOM e à comutação dos BCC, garante a regulação das tensões com reduzida taxa de distorção harmônica (THD) e reduzido fator de desequilíbrio de tensão (FD), além de manter as correntes do gerador senoidais e balanceadas. Neste trabalho também são investigadas duas formas distintas de controle de frequência a partir do controle eletrônico de carga: (i) carga auxiliar controlada por elemento chopper conectada ao barramento CC do DSTATCOM e (ii) carga auxiliar controlada por elemento chopper conectada ao barramento CA do sistema através de retificador trifásico não-controlado. Resultados de simulação e resultados experimentais são apresentados para validar e demonstrar o bom desempenho da topologia híbrida proposta na regulação das tensões e frequência do sistema. O sistema é testado mediante transitórios de cargas trifásicas e monofásicas, lineares e não-lineares, resistivas e reativas.

Les capacités installées d’énergie éolienne continuent à croître rapidement et prennent une place de plus en plus significative dans le monde. Au fur et à mesure, les études menées sur la conception, la sureté de fonctionnement et la supervision de la chaîne éolienne ont pris progressivement de l’importance. Deux axes de recherche ont été privilégiés dans cette thèse. Le premier concerne la continuité de service d'une éolienne connectée au réseau en présence de défaut de court-circuit entre spires dans une phase du stator de la génératrice asynchrone à cage d'écureuil. L'analyse du défaut ainsi que son impact sur le système éolien et notamment sur la qualité de la puissance produite souligne l'intérêt de développement d'un algorithme de détection et d'isolation rapide, dédié par la suite à la reconfiguration de la commande. Ainsi, une commande tolérante au défaut (CTD) a été conçue de manière à éviter l'arrêt de la production, compenser l'impact de défaut et garder des performances acceptables de la qualité d'énergie produite. Le travail effectué s'est articulé sur les observateurs à mode glissant (OMG), communément connus comme outil puissant pour la supervision et la commande à la fois. Le deuxième axe porte sur la sécurité structurale et la stabilité du système éolien sous contraintes vibratoires. Les travaux se répartissent en deux parties complémentaires : L'établissement d'un modèle numérique tridimensionnel (3-D) sous un logiciel d’analyse par éléments finis (ANSYS) et la réalisation des essais vibratoires sous différentes excitations au sein d'une plateforme vibratoire (TREVISE). Dans ce cadre, un modèle numérique (3-D) d'une éolienne à axe horizontal couplée à un mât et une fondation adéquats a été développé en utilisant la méthode de volumes finis (FVM) afin d'appréhender son comportement vibratoire. Les essais vibratoires expérimentaux valident le modèle numérique et permettent l’identification de la réponse dynamique de la structure d'une manière fine. De plus, nous avons élaboré un modèle expérimental de la tenue de l’éolienne aux contraintes vibratoires de formes aléatoire, sinusoïdale et impulsionnelle. / The wind energy capacity carries on growing quickly and taking an increasingly significant place in the world. Progressively, research studies dealing with designing and supervising wind turbines have become more important. Two areas of research were developed in this thesis. The first one concerns the continuity of service of a wind turbine connected to the grid while an inter-turn short-circuit fault is present in the stator phase of the induction squirrel cage generator. The analysis of the fault as well as its impact on the wind turbine system and mainly on the quality of the produced power highlights the interest of development of a fast detection and isolation algorithm, dedicated to the reconfiguration of the control law. Hence, a fault tolerant control scheme has been established in order to avoid stopping production, compensate the fault impact and maintain acceptable performances of the quality of the produced energy. The carried out work was based on sliding mode observers, commonly known as robust tools for monitoring and controlling at the same time. The second axis concerns the structural modeling and stability checking of the wind system under vibratory stresses. The work is divided into two complementary parts: The establishment of a three-dimensional (3-D) numerical model using a finite element analysis software (ANSYS) and the realization of vibratory tests under different excitations within the platform (TREVISE). In this framework, a numerical (3-D) model of a horizontal axis wind turbine coupled to a suitable tower and foundation was developed basing on the finite volume method (FVM) in order to analyze its vibratory behavior. The experimental vibratory tests validate the numerical model and allow the identification of the dynamic response of the structure in a precise way. In addition, we have developed an experimental model of the behavior of the wind turbine under vibratory stresses of random, sinusoidal and impulse shapes.

Made available in DSpace on 2014-12-17T14:56:15Z (GMT). No. of bitstreams: 1 DanielWH_DISSERT.pdf: 3818359 bytes, checksum: ac34198b688307ffda10243b5ad47c74 (MD5) Previous issue date: 2013-09-13 / Conselho Nacional de Desenvolvimento Cient?fico e Tecnol?gico / In the last decade, the renewable energy sources have present a major propulsion in the world due to several factors: political, environmental, financial and others. Within this context, we have in particular the energy obtained through wind, wind energy - that has highlighted with rapid growth in recent years, including in Brazil, mostly in the Northeast, due to it s benefit-cost between the clean energies. In this context, we propose to compare the variable structure adaptive pole placement control (VS-APPC) with a traditional control technique proportional integral controller (PI), applied to set the control of machine side in a conversion system using a wind generator based on Double-Fed Induction Generator (DFIG). Robustness and performance tests were carried out to the uncertainties of the internal parameters of the machine and variations of speed reference. / As fontes de energia renov?veis t?m, na ?ltima d?cada, ganho uma grande propuls?o em todo o mundo devido aos mais diversos fatores: pol?ticos, ambientais, financeiros, entre outros. Dentro deste universo, temos, em especial, a energia obtida atrav?s do vento, energia e?lica - que tem se destacado com um crescimento vertiginoso nos ?ltimos anos, inclusive no Brasil, principalmente na regi?o Nordeste, devido ao seu custo-benef?cio entre as energias "limpas". Neste cen?rio, prop?e-se a compara??o do controlador por posicionamento de polos e estrutura vari?vel (VS-APPC) com o controlador proporcional integral (PI) aplicados em um sistema de convers?o de energia e?lica que utiliza um gerador de indu??o duplamente alimentado (Double-Fed Induction Generator- DFIG). Testes de robustez e desempenho foram realizados com incertezas nos par?metros da m?quina e varia??es de refer?ncia de velocidade

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This work has for motive to obtain the project and build of an assymmetrical three-phase induction generator connected to single-phase supply system, in order to be used in rural areas. This equipment has been presented as a better alternative in relation the others proposed more commercialized at the moment, due to its robustness, low cost, less maintenance requirements and excellent performance. Firstly, in the theoric part concerned to the system it is presented a mathematical representation, frequency domain mathematical model, whose equations are performed in function of an unbalance factor in order to obtain balance three-phase voltages in the system. Then, some simulations are performed in the simulator that was developed in the Microsoft Excel program. From these implements, it is carried out study cases to prove the assymmetrical three-phase induction generator use potentialities. A prototype is projected and built, which experimental results are compared to the computer result. / O objetivo deste trabalho é obter o projeto e a construção de um gerador de indução trifásico assimétrico conectado a um sistema de distribuição de energia elétrica monofásica; visando aplicá-lo em áreas rurais. Este dispositivo, em face de sua robustez, baixo custo, menores requisitos de manutenção e bom desempenho, consiste numa alternativa bastante atrativa em relação às outras propostas existentes atualmente. O estudo teórico inicia-se através da elaboração de uma modelagem matemática para o sistema, no domínio da freqüência, cujas equações são colocadas em função de um fator indicativo do nível de desbalanceamento, visando à obtenção de tensões balanceadas na carga. Para tanto, a modelagem matemática elaborada é implementada num simulador desenvolvido no programa Microsoft Excel. A partir desta implementação, são efetuados estudos de casos no sentido de evidenciar as potencialidades do gerador assimétrico conectado a cargas rurais. Os trabalhos computacionais são devidamente validados à luz de resultados experimentais extraídos de um protótipo de equipamento concebido, projetado e construído para fins deste trabalho. / Mestre em Ciências

Submitted by Liliane Ferreira (ljuvencia30@gmail.com) on 2018-09-14T11:19:37Z No. of bitstreams: 2 Tese - José Mário Menescal de Oliveira - 2018.pdf: 3555364 bytes, checksum: 7da381c5690449c518f20f2a3fd49fea (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Approved for entry into archive by Luciana Ferreira (lucgeral@gmail.com) on 2018-09-17T10:48:33Z (GMT) No. of bitstreams: 2 Tese - José Mário Menescal de Oliveira - 2018.pdf: 3555364 bytes, checksum: 7da381c5690449c518f20f2a3fd49fea (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) / Made available in DSpace on 2018-09-17T10:48:33Z (GMT). No. of bitstreams: 2 Tese - José Mário Menescal de Oliveira - 2018.pdf: 3555364 bytes, checksum: 7da381c5690449c518f20f2a3fd49fea (MD5) license_rdf: 0 bytes, checksum: d41d8cd98f00b204e9800998ecf8427e (MD5) Previous issue date: 2018-07-13 / This thesis demonstrates the effects of harmonic pollution in a salient pole synchronous generator and an induction generator operating in parallel on an isolated system, supplying a non-linear load. The main contributions of this research-study consist of identifying and quantifying the oscillations that non-linear load cause on the electric variables of synchronous and induction generators, such as, the electromagnetic conjugate that presents oscillations of sixth harmonic due to the distorted currents. / Este trabalho mostra os efeitos da poluição harmônica em um gerador síncrono de polos salientes e um gerador de indução operando em paralelo em um sistema isolado suprindo carga não linear. As principais contribuições deste trabalho consistem em identificar e quantificar as oscilações que a carga não linear utilizada provoca nas variáveis elétricas dos geradores síncronos e dos geradores de indução, tal como, o conjugado eletromagnético que apresenta oscilações de sexto harmônico devido as correntes distorcidas.