Οι μετασχηματιστές ισχύος αποτελούν τα κρισιμότερα στοιχεία ενός Συστήματος Ηλεκτρικής Ενέργειας από την άποψη κόστους, χρησιμότητας και επικινδυνότητας. Επομένως είναι ιδιαίτερα σημαντικός ο έλεγχος της υγείας των μετασχηματιστών και της λειτουργικής τους ικανότητας. Η παρούσα διπλωματική εργασία ασχολείται με το διαγνωστικό έλεγχο των μεγάλων μετασχηματιστών ελαίου. Για το σκοπό αυτό θεωρείται αναγκαίο να γίνει πρώτα μία αναλυτική αναφορά στους μετασχηματιστές και στις ιδιότητές τους. Στο κεφάλαιο 1 γίνεται μία σύντομη εισαγωγή σχετική με τα Σ.Η.Ε. ώστε να καταστεί σαφής ο ρόλος των μετασχηματιστών σε αυτά. Στο κεφάλαιο 2 περιγράφονται λεπτομερώς οι αρχές λειτουργίας και τα κατασκευαστικά στοιχεία των μετασχηματιστών καθώς και τα προβλήματα που προκύπτουν σε αυτούς εξαιτίας της λειτουργίας τους ή από την πάροδο των ετών. Το κεφάλαιο 3 ασχολείται με τη λειτουργική κατάσταση και τη διάρκεια ζωής των μετασχηματιστών και την εξάρτησή τους από την κατάσταση της μόνωσης. Στο κεφάλαιο 4 παρατίθενται όλες οι κλασικές μέθοδοι που χρησιμοποιούνται για την παρακολούθηση και τη διάγνωση σφαλμάτων στους μετασχηματιστές. Επίσης περιγράφονται η κατάταξη των μετασχηματιστών ανάλογα με την ικανότητά τους να παραμείνουν σε λειτουργία και η ένταξη της παρακολούθησής τους στον έλεγχο του συστήματος. Το κεφάλαιο 5 επικεντρώνεται στη μέθοδο Duval, μία μέθοδο διάγνωσης που συγκαταλέγεται στην κατηγορία των Χημικών Μεθόδων και ειδικότερα της Ανάλυσης των Διαλυμένων Αερίων στο λάδι. Στο κεφάλαιο αυτό γίνεται η περιγραφή της μεθόδου και η παράθεση του προγράμματος που εφαρμόζει τη μέθοδο. Τα παραρτήματα αποσαφηνίζουν κάποιες λεπτομέρειες σχετικές με τη μέθοδο Duval, χρήσιμες για την κατάστρωση του κώδικα. / Power transformers are the most critical components of an Electric Power System (E.P.S.) as far as their cost, usefulness and level of risk are concerned. Therefore their maintenance as well as their health and ability to stay in service check are of great importance. This thesis deals with the diagnostics of large oil immersed transformers. Consequently it is considered necessary to begin with a detailed description of power transformers and their attributes. In Chapter 1 a short introduction of E.P.S. is taking place in order to clarify the role of power transformers in them. In Chapter 2 the principles of operation, the manufacturing elements as well as the malfunctions that occur in a transformer because of their use or in the course of time are described in detail . Chapter 3 deals with the operation condition, life-span and the dependency of a transformer on the insulation system condition. In Chapter 4 all the common used techniques for condition monitoring and fault diagnosis of a transformer are displayed. Furthermore the order of the transformers depending on their ability to maintain in operative condition is described as well as the incorporation of their monitoring in the system inspection. Chapter 5 is focused on the Duval method which is a chemical method for fault diagnosis and more specifically a dissolved gas analysis. In this chapter the Duval method is described in detail along with the description of the program that uses this method. The adjuncts clarify some details regarding the Duval method which are necessary for the comprehension of the program.

Στο Κεφάλαιο 1 γίνεται μια εισαγωγή στις Αρχές του Ηλεκτρομαγνητισμού, οι οποίες είναι και η βάση στην οποία στηρίζεται η λειτουργία του μετασχηματιστή. Αναλύεται ο τρόπος δημιουργίας του μαγνητικού πεδίου ενώ παρουσιάζονται συνοπτικά όλα εκείνα τα μαγνητικά μεγέθη τα οποία θα μας χρησιμεύσουν στην συνέχεια της διπλωματικής. Το κεφάλαιο κλείνει με μια αναφορά στην Ηλεκτρομαγνητική Επαγωγή στην οποία στηρίζεται η λειτουργία του μετασχηματιστή. Στο Κεφάλαιο 2 γίνεται μια διεξοδική ανάλυση των στοιχείων των μετασχηματιστών, ενώ παράλληλα αναπτύσσονται και οι εξισώσεις που περιγράφουν την λειτουργία του μονοφασικού μετασχηματιστή. Γίνεται αναφορά στα είδη και την δομή των μετασχηματιστών, ενώ αναλύονται λεπτομερώς όλα τα είδη των απωλειών που παρουσιάζονται σε έναν μετασχηματιστή. Το κεφάλαιο κλείνει παραθέτοντας το ισοδύναμο κύκλωμα του μονοφασικού μετασχηματιστή. Στο Κεφάλαιο 3 γίνεται μια εισαγωγή στα μαγνητικά κυκλώματα τα οποία μπορούν να περιγράψουν την μαγνητική συμπεριφορά ενός σιδηρομαγνητικού πυρήνα. Η ανάλυση περιλαμβάνει το ισοδύναμο μαγνητικό κύκλωμα του πυρήνα ενός μονοφασικού μετασχηματιστή, το οποίο μπορεί να επεκταθεί και για έναν τρισκελή ή πεντασκελή πυρήνα ενός τριφασικού μετασχηματιστή. Στο Κεφάλαιο 4 πραγματοποιείται η ανάλυση του τριφασικού μετασχηματιστή. Παρατίθενται όλες οι δυνατές συνδεσμολογίες μεταξύ των τυλιγμάτων του, ενώ στην συνέχεια αναλύεται το μαγνητικό ισοδύναμο κύκλωμα του τρισκελή σιδηρομαγνητικού πυρήνα βάση του οποίου προσδιορίζεται ο Πίνακας Ld. Από την ανάλυση του ηλεκτρικού κυκλώματος προκύπτουν οι καταστατικές εξισώσεις που περιγράφουν την λειτουργία του τριφασικού μετασχηματιστή και ομαδοποιούνται με την δημιουργία Πινάκων. Το κεφάλαιο κλείνει κάνοντας μια αναφορά στον τρόπο με τον οποίο εισάγεται η μη γραμμική χαρακτηριστική καμπύλη του υλικού του πυρήνα. Στο Κεφάλαιο 5 πραγματοποιείται η εξομοίωση του τριφασικού μετασχηματιστή, η οποία στηρίζεται στην ανάλυση του Κεφαλαίου 4. Περιγράφονται αριθμητικά και σχηματικά ο μετασχηματιστής καθώς και το δίκτυο μετασχηματιστή-φορτίου που χρησιμοποιήθηκαν. Στην συνέχεια, καταγράφονται οι κυματομορφές των μεγεθών του μετασχηματιστή, όταν στο δευτερεύον τύλιγμά του συνδεθεί είτε συμμετρικό ή ασύμμετρο φορτίο. Το κεφάλαιο κλείνει με την εξαγωγή των συμπερασμάτων που προέκυψαν από την ανάλυση και εξομοίωση του τριφασικού μετασχηματιστή. / This paper is entitled “Simulation of three-phase transformer when the primary windings are connected in delta and the secondary windings in wye” in case of symmetrical and asymmetrical load. First of all, there is an introduction in the basic principles of electromagnetism. Then, the analysis of the single-phase and three-phase transformer which can help us to derive the state equations. From the analysis of the magnetic core circuit, we can calculate the incremental matrix Ld. The matrix Ld depends on the topology of the magnetic core. Finally, simulation results and conclusions are presented for the three-phase transformer

Σκοπός της παρούσας εργασίας είναι η μελέτη, η προσομοίωση και η κατασκευή ηλεκτρονικού μετατροπέα ισχύος, για τη διασύνδεση με το ηλεκτρικό δίκτυο, πηγών ηλεκτρικής ενέργειας που προέρχονται από ανανεώσιμες μορφές, συγκεκριμένα από την ανεμογεννήτρια και το φωτοβολταϊκό σύστημα που είναι εγκατεστημένα στο Εργαστήριο Ηλεκτρομηχανικής Μετατροπής Ενέργειας (Ε.Η.Μ.Ε). / This paper is about study, simulation, design and constraction electronic power converter to connect with the electric grid, sourses of electricity generated by renewable energy, specifically from wind and solar.

Thesis (MScEng)-- Stellenbosch University, 2013. / ENGLISH ABSTRACT: The objective of this project is to develop an electromagnetic model that can be used to accurately calculate the voltage distribution in a transformer winding structure when excited with standard impulse excitation waves. This voltage distribution is required during the design stage of a power transformer to ensure that the insulation is capable of withstanding the occurring electric field stresses during these tests. This study focuses on the modelling of a single disk-type power transformer winding without the presence of an iron-core. Methods of calculating self- and mutual-inductances of transformer windings are presented and validated by means of finite element method software simulations. The same is done for the calculation methods used for calculating the capacitances in and around the winding structure. The calculated and FEM-simulated results are compared to measured values as a final stage of validation. The methods used to calculate the various model parameters seem to produce results that agrees well with measured values. The non-linear frequency dependant dissipative nature of transformer windings is also investigated and a methodology to take this into account is proposed and implemented. The complete modelling methodology proposed in this thesis, which includes the calculation of the model parameters, model synthesis and solver algorithm, are applied to an actual case study. The case study is performed on an air-core reactor manufactured using a disk-type power transformer winding. The reactor is excited with standard lightning impulse waves and the voltages along the winding are measured. The calculated and measured voltage wave forms are compared in both the frequency and time-domain. From the comparison it is found that the model accurately represents the actual transient voltage response of the testunit for the frequency range of interest during standard factory acceptance tests. / AFRIKAANSE OPSOMMING: Die doel van hierdie projek is om 'n elektromagnetiese model te ontwikkel wat gebruik kan word om die spanningsverspreiding in 'n transformatorwindingstruktuur te bereken as standaard weerligimpulstoetse toegedien word. Hierdie spanningsverspreiding word vereis tydens die ontwerpstadium van ‘n kragtransformator om te verseker dat die isolasie in staat is om die elektriese veldsterkte tydens hierdie toetse te weerstaan. Hierdie studie fokus op die modelering van 'n enkele skyftipe-kragtransformatorwinding sonder die teenwoordigheid van 'n ysterkern. Metodes van berekening van self- n wedersydse-induktansie van transformatorwindings word aangebied en getoets deur middel van Eindige-Element-Metode (EEM) simulasies. Dieselfde word gedoen vir die metodes wat gebruik word vir die berekening van die kapasitansies in en rondom die windingstruktuur. Die berekende en EEM-gesimuleerde resultate word vergelyk met die gemeete waardes as 'n finale vlak van bekragtiging. Die metodes wat gebruik word om die verskillende modelparameters te bereken vergelyk goed met gemete waardes. Die nie-lineêre frekwensie-afhanklike verliese van transformatorwindings word ook ondersoek en 'n metode om hierdie in ag te neem is voorgestel en geïmplementeer. Die volledige voorgestelde modeleringsmetodiek in hierdie tesis, wat die berekening van die modelparameters, modelsintese en oplosingsalgoritme insluit word toegepas op 'n werklike gevallestudie. Die gevallestudie is uitgevoer op 'n lugkern-reaktor wat 'n skyftipe-kragtransformatorwinding. Die reaktor word onderwerp aan die standaard weerligimpuls golwe en die spanning al langs die winding word gemeet. Die berekende en gemete spanning golf vorms word met mekaar vergelyk in beide die frekwensie- en tyd-vlak. Uit die vergelyking blyk dit dat die model die werklike oorgangspanningsweergawe van die toetseenheid akkuraat verteenwoordig vir die frekwensie reeks van belang tydens standaard fabriekaanvaardingstoetse.

The thesis deals with the problems of alternative energy sources with focus on solar energy sources in present practice. The thesis introduction explains the reasons of the changes in the global fuel-energy balance and their adverse effects, characterizes individual alternative energy sources and their practical applicability. The main focus is on exploitation of solar energy. After explaining the principle of thermonuclear reactions as the source of energy in the Sun, the thesis analyses the question of production of photovoltaic cells and a solar module. It describes the types of commonly used accumulators, charges and voltage transformers. It points out all factors, which must be taken into account when handling solar panels in practice. In the last chapter, it in particular deals with the didactic instructions for teaching the topic of alternative energy sources at elementary schools, as well as the need for introduction of the mentioned topic to teacher colleges.

Este documento apresenta o desenvolvimento de um modelo computacional para prover informações aos tomadores de decisão frente as alternativas de investimentos na expansão das redes de distribuição. Estas redes, por estarem localizadas em áreas urbanas e rurais, apresentam variadas topologias e número elevado de equipamentos na sua composição, dificultando a análise técnica e econômica diante do número elevado de variáveis envolvidas. O método proposto inclui a avaliação dos principais fatores que tem influência na qualidade da energia, incluindo os índices de confiabilidade. Adicionalmente, aspectos relacionados com os custos financeiros e eficiência são considerados para diferentes condições de operação. As decisões são feitas considerando o desempenho dos transformadores e requisitos exigidos em normas de confiabilidade da agência reguladora do sistema elétrico. Perda de vida em transformadores, perdas técnicas, níveis de tensão e fator de utilização são avaliados em conjunto com a confiabilidade no fornecimento de energia, a fim de combinar os resultados destes critérios com indicadores financeiros. O resultado é a obtenção de indicadores individuais e coletivos que facilitam a tomada de decisão no direcionamento de investimentos a curto e médio prazo, proporcionando de maneira prática e fácil a comparação entre alimentadores, subestações ou mesmo regiões que compõem um sistema de distribuição. Por fim, para verificação do método, realiza-se um estudo de caso num sistema de distribuição real onde são analisados e discutidos os resultados. / This document aims to present the development of a computational model to provide information for decision-making toward the alternatives of investments in distribution system planning. These networks, as they are located in urban and rural areas, can present varied topologies and large numbers of equipment in its arrangement, making it difficult in performing technical and economic analysis due to the large number of variables involved. The proposed method includes the evaluation of main factors that have influence on power quality, including the reliability indexes. Additionally, aspects related to economic costs and energy efficiency are considered for different operating conditions. The decision is made taking into account the performance of medium voltage transformers and distribution system reliability standards of Regulatory Agency requirements. Loss of life in transformers, technical losses, voltage levels, and utilization factor are assessment together with continuity and availability of power supply in order to combine the results of these criteria with financial indicators. The result is the achievement of individual and collective indicators that facilitate decision making in directing investments in the short and medium term, providing a practical and easy way to compare feeders, substations or even regions that comprise a distribution system. The methodology is applied in a real distribution system, and the result are analyzed and discussed.

Orientador: Luís Carlos Origa de Oliveira / Resumo: As profundas mudanças que os sistemas de distribuição de energia elétrica vêm experimentando, devido à crescente penetração de unidades de Geração Distribuída (GD), têm resultado, inevitavelmente, na efetiva ruptura da forma tradicional de controlar e operar o sistema elétrico. A conexão em larga escala de unidades de GD impõe às distribuidoras de energia uma série de desafios técnicos, econômicos e regulatórios, necessários para preservar a continuidade e o nível de Qualidade da Energia Elétrica (QEE) na rede. Além dos benefícios que justificam o investimento, os sistemas de GD contribuem com alguns impactos negativos para o sistema elétrico, entre eles, destacam-se aqui a geração de harmônicas e a injeção de corrente contínua (CC) na rede, em regime permanente, e seus efeitos sobre os transformadores de potência. O incremento de uma componente de fluxo CC em seu enrolamento secundário altera o ponto de operação natural e eficiente do transformador, trazendo prejuízo não só à sua vida útil, mas também à sua funcionalidade na rede. Esta condição favorece a geração e propagação de harmônicas adicionais no sistema alimentador, afetando negativamente o sistema elétrico, sendo esta análise uma contribuição original deste trabalho. Neste sentido, considera-se com grande relevância o estudo de comportamento dos equipamentos projetados para operar essencialmente com sinais em corrente alternada (CA) e que passam a ser submetidos, simultaneamente, a excitações com corrente contínua. ... (Resumo completo, clicar acesso eletrônico abaixo) / Abstract: The deep changes that electric power distribution systems have been experiencing due to the increasing number of Distributed Generation (GD) units, have inevitably resulted in the effective rupture of the traditional way of controlling and operating the electrical system. The large-scale connection of GD units imposes on energy utilities many technical, economic and regulatory challenges necessary to preserve the continuity and the Electric Power Quality (EPQ) level on the grid. In addition to the benefits that justify the investment, GD systems have some negative impacts to the electrical system, among them, the harmonic generation and Direct Current (DC) injection on the grid, and its effects in the power transformers. The increase of a DC flow component in the secondary winding changes the standard and efficient operational point of the transformer, causing damage not only to its lifespan but also to its functionality on the grid. This condition favors the additional harmonics generation and propagation in the feeder system, adversely affecting the electrical system, being this analysis an original contribution of this work. In this way of thinking, it is considered with great relevance the study of the equipment behavior designed to operate essentially with signals in alternating current (AC) and simultaneously subjected to excitations with direct current (DC). Whereas the objective of analyzing not only the effect but also the cause of the double excitation, this thesis ... (Complete abstract click electronic access below) / Doutor

This research shows the results obtained in a life cycle assessment (LCA) coils manufactured with copper wires and aluminum wires in two distribution transformers in order to identify which is less impact on the environment. The research is justified as a tool to assist the manufacturers of transformers industries, utilities and consumers in the choice of material to be used for the manufacture of coils. This research is characterized as a case study, using the NBR ISO 14040:2009 and 14044:2009 methodology. The text is divided into five chapters, the introductory first, second for the literature review, the third analyses the methodology, in the fourth the results are listed, and, the last, the conclusions. The main results of the LCA were in terms of impacts and environmental damage according to the assessment method Eco- Indicator 99. The results showed that the use of transformers with aluminum coils cause less impact on the environment. / Esta pesquisa apresenta os resultados obtidos em uma avaliação do ciclo de vida (ACV) de bobinas manufaturadas com fios de cobre e com fios de alumínio em dois transformadores de distribuição a fim de identificar a que representa um menor impacto no meio ambiente. A pesquisa justifica-se como uma ferramenta para auxiliar as indústrias fabricantes de transformadores, concessionárias de energia e consumidores na escolha do material a ser utilizado para a fabricação de bobinas. Esta pesquisa se caracteriza como um estudo de caso, utilizando a metodologia NBR ISO 14040:2009 e 14044:2009. O texto está dividido em cinco capítulos, sendo o primeiro introdutório, o segundo destinado à revisão bibliográfica, o terceiro à metodologia, o quarto aos resultados e, o último, às conclusões. Os principais resultados da ACV foram em termos de impactos e danos ambientais de acordo com o método de avaliação Eco-Indicador 99. Os resultados mostraram que o uso de transformadores com boninas de alumínio gera menores impactos sobre o meio ambiente.

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This thesis presents a design methodology for the dual active bridge converter, that includes the influence of the nominal phase-shift angle in the behavior of the DAB converter for entire power and voltage ranges. The analysis presented focus on two important performance parameters of the DAB converter: the nonactive power and the limits of ZVS operation. The study of these two parameters results in a prior knowledge of the qualitative characteristics of the conduction and switching losses, respectively. Using this knowledge it is possible to optimize the converter operation considering the priorities of application performance. The experimental results were performed for three different projects nominal angles and three different input voltages for the whole load range, and they prove the feasibility of the proposed analysis. The analyse of the limit ZVS area took into account the switches intrinsic capacitances, and the dead time between the complementary switches. The DAB converter placed at a three-stage structure applied to solid state transformer, has voltage ripple at low frequency in their bus voltages because of the connection into the distribution network. Thus, it becomes possible to apply a low frequency burst mode modulation, without needing to oversize the bus capacitors. Three burst mode modulations are evaluated in simulation. The modulation which performed better results in simulation was implemented in practice, and the experimental results showed significant improvement in the converter´s efficiency when it is operating in light loads. Finally, a discussion of the parameters to be evaluated for the DAB converter´s design is proposed. / Esta tese de doutorado apresenta uma metodologia de projeto do conversor DAB, a qual inclui a influência do ângulo nominal de defasagem no comportamento do conversor DAB para toda faixa de potência e de tensão. Além disso, as análises focam em dois importantes parâmetros de desempenho do conversor DAB: a potência não ativa e os limites de operação com ZVS. O estudo destes dois parâmetros resulta em um conhecimento prévio das características qualitativas das perdas de condução e comutação, respectivamente. Através deste conhecimento é possível otimizar a operação do conversor considerando as prioridades de desempenho da aplicação. Os resultados experimentais, que comprovam as análises referentes à potência não ativa e aos limites de operação com ZVS, são realizados para três diferentes projetos de ângulos nominais e três diferentes tensões de entrada, para toda faixa de operação de carga. O estudo dos pontos de perda de ZVS considerou as capacitâncias intrínsecas dos interruptores e o tempo morto entre os interruptores complementares. O conversor DAB funcionando em uma estrutura de três estágios, aplicado a transformadores de estado sólido, apresenta ondulação de tensão em baixa frequência em seus barramentos, provinente da conexão da estrutura na rede de distribuição. Deste modo, torna-se possível a aplicação de modulações de baixa frequência do tipo burst, sem a necessidade de sobredimensionamento dos capacitores. Três modulações são realizadas e avaliadas em simulação. A modulação que apresentou melhores resultados em simulação foi implementada na prática, e os resultados experimentais mostraram melhora significativa da eficiência do conversor em baixas cargas. Por fim, uma discussão sobre as considerações a serem avaliadas nos parâmetros de projeto do conversor DAB é proposta.

This dissertation presents the development of an algorithm for classifying electrical transients in power transformers for protection. Initially the main transient involving power transformers were analyzed, with a special focus on the magnetizing current that occur during energizing equipment, known as inrush currents. Among the studied transient, current inrush are those that present greater difficulty in identification and discrimination by the differential protection, due to its high peak magnitude. In a second moment, was developed a test system implemented in ATP / EMTP software for the simulation of different operating situations of the power transformer, current data being obtained from TCs for analysis. After known the problem and implement a test for acquisition system, we developed an algorithm based on the last samples of the detail coefficients, called Details Signals, from the decomposition of the data of differential phase current using the Discrete Wavelet Transform. The methodology has the objective improve the system for protection of the transformer, becoming one efficient alternative for the identification of transients. / Esta dissertação apresenta o desenvolvimento de um algoritmo para classificação de transitórios elétricos em transformadores de potência, para fins de proteção. Inicialmente foram analisados os principais transitórios associados aos transformadores de potência, tendo um foco especial na corrente de magnetização que surge durante a energização do equipamento, conhecida como corrente de inrush. Dentre os transitórios estudados, as correntes de inrush são as que apresentam maior dificuldade de identificação e discriminação por parte da proteção diferencial, devido a sua alta magnitude de pico. Em um segundo momento, foi desenvolvido um sistema teste implementado no software ATP para a simulação das diversas situações de operação do transformador de potência, sendo obtidos dados de correntes a partir dos TCs para análise. Após conhecer o problema e implementar um sistema teste para a obtenção dos dados, desenvolveu-se um algoritmo baseado nas últimas amostras dos coeficientes de detalhes, chamada de Sinais de Detalhes, provenientes da decomposição dos dados de correntes diferenciais das fases por meio da Transformada Wavelet Discreta. A metodologia desenvolvida tem como objetivo melhorar o sistema de proteção do transformador, tornando-se uma alternativa eficiente para a identificação de transitórios.