Este trabalho tem o objetivo de apresentar o desenvolvimento de uma metodologia para a proteção de retaguarda de linhas de transmissão de grandes áreas, utilizando dados de um Sistema de Medição Fasorial Sincronizada. O estudo se justifica devido à contínua expansão dos Sistemas de Transmissão, tais como os que fazem parte do Sistema Interligado Nacional. Vale esclarecer que esta expansão pode vir a dificultar a operação e controle do mesmo, o que faz com que seja necessário, um sistema de proteção cada vez mais confiável, que diminua o impacto de eventos danosos de grande porte, e que atenda aos requisitos de um sistema de proteção de grandes áreas. Neste contexto, o modelo do sistema elétrico de potência em análise foi implementado computacionalmente a partir do RSCAD, ambiente computacional e interface gráfica do RTDS® (Real Time Digital Simulator). Como principal passo, o algoritmo desenvolvido verifica a variação da potência ativa em todos os barramentos monitorados do sistema de transmissão e, de acordo com tal variação, associada ao estado dos dois extremos da linha, detecta e aponta a localização de uma situação de falta. Pelos resultados obtidos, a metodologia se mostrou eficiente na detecção e localização da falta em linhas de transmissão para sistemas de grandes áreas. Toda a metodologia desenvolvida, considerações adotadas e os promissores resultados observados serão reportados neste documento. / This work aims to present the development of a methodology for wide area transmission line backup protection, using Synchronized Phasor Measurement Systems. This study is justified due to continuous expansion of Transmission Systems, such as those which are part of the National Interconnected System. It is worth clarifying that this expansion might difficult system operation and control, which makes necessary to have an increasingly reliable protection system, that minimizes the impact of large dangerous events, and, at the same time, supplies the requirements of a wide area protection system. Within this context, the electrical system model under analysis was implemented through RSCAD, which is a RTDS® (Real Time Digital Simulator) computing environment and graphical interface. As main step, the developed algorithm verifies the active power variation in all monitored buses of the transmission system and then, according to such variation, associated with the communication of the variation state of both line sides, detects and indicates the localization of a faulting condition. According to the results obtained, the methodology has shown its efficiency in transmission line faults detection and localization for wide areas of electrical power systems. The entire developed methodology, considerations adopted and promising outcomes will be reported along this document.

The ability to implement Wide Area Monitoring and Control in power systems is developing into a need in order to prevent wide scale cascading outages. Monitoring of events in the power system provides a great deal of insight into the behaviour of the system. The research work presented in this thesis focussed on two tools that aid in monitoring: State Estimation and Synchronised Phasors provided by Phasor Measurement Units (PMU). State Estimation is essentially an on-line data processing scheme used to estimate the best possible state (i.e. voltage phasors) from a monitored set of measurements (active and reactive powers/voltage phasor measurements). The ever growing complexity and developments in the state of art calls for robust state estimators that converge accurately and rapidly. Newton’s method forms the basis for most of the solution approaches. For real-time application in modern power systems, the existing Newton-based state estimation algorithms are too fragile numerically. It is known that Newton’s algorithm may fail to converge if the initial nominal point is far from the optimal point. Sometimes Newton’s algorithm can converge to a local minima. Also Newton’s step can fail to be a descent direction if the gain matrix is nearly singular or ill-conditioned. This thesis proposes a new and more robust method that is based on linear programming and trust region techniques. The proposed formulation is suitable for Upper Bound Linear Programming. The formulation is first introduced and its convergence characteristics with the use of Upper Bound Linear Programming is studied. In the subsequent part, the solution to the same formulation is obtained using trust region algorithms. Proposed algorithms have been tested and compared with well known methods. The trust region method-based state estimator is found to be more reliable. This enhanced reliability justifies the additional time and computational effort required for its execution. One of the key elements in the synchrophasor based wide area monitoring is the Phasor Measurement Unit. Synchronized, real time, voltage phasor angle, phasor measurements over a distributed power network presents an excellent opportunity for major improvements in power system control and protection. Two of the most significant applications include state estimation and instability prediction. In recent years, there has been a significant research activity on the problem of finding the suitable number of PMUs and their optimal locations. For State Estimation, such procedures, which basically ensure observability based on network topology, are sufficient. However for instability prediction, it is very essential that the PMUs are located such that important/vulnerable buses are also directly monitored. In this thesis a method for optimal placement of PMUs, considering the vulnerable buses is developed. This method serves two purposes viz., identifying optimal locations for PMU (planning stage), and identifying the set PMUs to be closely monitored for instability prediction. The major issue is to identify the key buses when the angular and voltage stability prediction is taken into account. Integer Linear Programming technique with equality and inequality constraints is used to find out the optimal placement set. Further, various aspects of including the Phasor Measurements in state estimation algorithms are addressed. Studies are carried out on various sample test systems, an IEEE 30-bus system and real life Indian southern grid equivalents of 24-bus system, 72-bus system and 205-bus system.

This thesis presents a transient stability method using dynamic phasors. This method can be used to investigate low frequency (<5Hz) and sub-synchronous frequency (5Hz-60Hz) oscillations. It has major advantages as compared to traditional transient stability method and EMT method. It allows modeling of higher-frequency oscillation possible using time domain simulations, which is not achievable with conventional method. It also can be simulated at much larger time step as compared to PSCAD/EMTDC simulation. Comparison of the results with traditional model and detailed EMT model are also present, and they show very accurate results at frequency ranges up to 60Hz.

Une infrastructure robuste de surveillance basée sur des mesures numériques classiques est souvent utilisée pour permettre une gestion efficace du réseau de distribution électrique, néanmoins les mesures de phaseurs synchronisés, également connu comme synchrophaseurs, sont particulièrement efficaces pour améliorer la capacité de gestion et la surveillance de ces réseaux. Le synchrophaseur est un phaseur numériquement calculé à partir des échantillons de données en utilisant une source temporelle absolue pour un horodatage extrêmement précis des mesures effectuées.De ce fait, les applications des synchrophaseurs sont très nombreuses dans les réseaux électriques, en particulier dans les réseaux de transport. Ils permettent notamment de mesurer la différence angulaire entre les noeuds, l'estimation d'état linéaire, détecter l'îlotage, surveiller la stabilité oscillatoire, et détecter et identifier les défauts. Ainsi, nous pourrions être amenés à croire que pour apporter les avantages bien connus des mesures synchronisées vers les réseaux de distribution électriques, il serait seulement nécessaire de placer les Unités de Mesure de Phaseur, également connu par l'abréviation anglophone PMU, d'une manière directe dans l'environnement de la distribution électrique. Malheureusement, cette tâchen'est pas aussi évidente qu'elle n'y paraît.Les réseaux de distribution électriques et les réseaux de transport ont des caractéristiques opérationnelles différentes, donc les PMUs dédiées aux réseaux de distribution doivent avoir des caractéristiques différentes de celles consacrées aux réseaux haute tension. Les réseaux de distribution intelligents possèdent des longueurs de ligne plus courtes en produisant une ouverture angulaire plus petite entre les noeuds adjacents. En outre, le contenu harmonique élevé et la déviation en fréquence imposent aussi des défis pour l'estimation des phaseurs. Les appareils synchronisés avancés dédiés pour la surveillance du réseau de distribution doivent surmonter ces défis afin de mener la précision des mesures au-delà des exigences actuelles.Cette problématique globale est traitée et évaluée dans la présente thèse. La précision de l'estimation de phaseur est directement liée à la performance de l'algorithme utilisé pour traiter les données. Une grande robustesse contre les effets pernicieux qui peuvent dégrader la qualité des estimations est fortement souhaitée. De ce fait, trois algorithmes adaptifs en fréquence sont présentés en visant l'amélioration du processus d'estimation des mesures de phaseurs dans les réseaux de distribution actifs. Plusieurs simulations en utilisant des signaux corrompus sont réalisées pour évaluer leurs performances dans des conditions statiques et/ou dynamiques.Prenant en compte l'estimation précise des phaseurs, quatre applications potentielles sont présentées pour augmenter la perception, la compréhension et la projection des actions dans les réseaux de distribution. Des contributions sont apportées concernant le circuit équivalent de Thévenin vu par le point de couplage commun (PCC) entre la production décentralisée et les réseaux de distribution. Des contributions sont également apportées pour les équivalents dynamiques externes et l'évaluation de la chute de tension dans les réseaux moyenne-tension radiaux, ainsi que l'évaluation de la problématique des harmoniques pour l'amélioration de la méthode classique nomée PH (puissance active harmonique) pour détecter à la fois la principale source de pollution harmonique et le vrai flux de puissance harmonique sous déviation en fréquence.Le sujet des mesures de phaseurs synchronisés dans le réseaux électrique de distribution est encore peu exploré et les questionnements quant à son applicabilité sont communs, néanmoins cette thèse vise à fournir des propositions pour contribuer à l'avènement de mesures de phaseurs dans l'environnement de la distribution électrique. / Robust metering infrastructure based on classical digital measurements has been used to enable a comprehensive power distribution network management, however synchronized phasor measurements, also known as synchrophasors, are especially welcome to improve the overall framework capabilities. Synchrophasor is a phasor digitally computed from data samples using an absolute and accuracy time source as reference. In this way, since the absolute time source has sufficient accuracy to synchronize voltage and current measurements at geographically distant locations, it is possible to extract valuable informations of the real grid operating status without full knowledge of its characteristics.Due to this fact, applications of synchronized phasor measurements in wide-area management systems (WAMSs) have been achieved. Angular separation, linear state estimation, islanding detection, oscillatory stability, and disturbance location identification are some of the several applications that have been proposed. Thus, we could be lead to believe that to bring the well-known benefits of the synchronized measurements toward electric distribution grids it is only required to place in a straightforward manner conventional Phasor Measurement Units (PMUs) into the electric distribution environment. Unfortunately, this is not as simple as it seems.Electric power distribution systems and high-voltage power systems have different operational characteristics, hence PMUs or PMU-enabled IEDs dedicated to distribution systems should have different features from those devoted to the high-voltage systems. Active distribution grids with shorter line lengths produce smaller angular aperture between their adjacent busbars. In addition, high harmonic content and frequency deviation impose more challenges for estimating phasors. Generally, frequency deviation is related to high-voltage power systems, however, due to the interconnected nature of the overall power system, frequency deviation can be propagated toward the distribution grid. The integration of multiple high-rate DERs with poor control capabilities can also impose local frequency drift. Advanced synchronized devices dedicated to smart monitoring framework must overcome these challenges in order to lead the measurement accuracy beyond the levels stipulated by current standard requirements.This overall problematic is treated and evaluated in the present thesis. Phasor estimation accuracy is directly related to the algorithm's performance used for processing the incoming data. Robustness against pernicious effects that can degrade the quality of the estimates is highly desired. Due to this fact, three frequency-adaptive algorithms are presented aiming to boost the phasor estimation process in active distribution grids. Several simulations using spurious and distorted signals are performed for evaluating their performances under static and/or dynamic conditions.Taking into account accurate phasor estimates, four potential applications are presented seeking to increase situational awareness in distribution environment. Contributions are presented concerning online Thévenin's equivalent (TE) circuit seen by the Point of Common Coupling (PCC) between DERs and the grid side, dynamic external equivalents and online three-phase voltage drop assessment in primary radial distribution grids, as well as assessment of harmonic issues for improving the classical PH method (harmonic active power) to detect both the main source of harmonic pollution and true power flow direction under frequency deviation.The issue of synchronized phasor measurements in electric power distribution systems is still underexplored and suspicions about its applicability are common, however this thesis aims to provide propositions to contribute with the advent of phasor measurements in electric distribution environment.

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This dissertation proposes two methodologies for the phasor estimation on protective relays in Electrical Power Systems. Firstly, a theoretical introduction of signal processing, the structure of a protective relay and phasor estimation algorithms is presented, including some of the algorithms used on the electrical system, as well as the two proposed methodologies. The first one makes use of the concept of curve-fitting, while the other uses Artificial Neural Networks, both with the goal of performing the real-time estimation of the signal amplitude and phase angle. Secondly, it is made a comparative analysis of the two proposed methods with four well-known and currently used algorithms. This comparison is made through the creation of several test signals with different simulation parameters. From these simulations, six performance indexes are used for the quantitative evaluation of each algorithm, from where the most effective method can be determined through the arithmetic mean of these indexes. Lastly, after all the simulation cases have been presented, a summary of the characteristics of each algorithm is made, based in their numerical results. Then, based on the values obtained on each performance index, the strong and weak points are highlighted, as well as the general classification of each method. / Essa dissertação propõe duas metodologias para a estimação fasorial em relés de proteção em Sistemas Elétricos de Potência. Primeiramente é apresentada uma introdução teórica ao processamento de sinais, à estrutura do relé de proteção, e aos algoritmos de estimação fasorial propriamente ditos, incluindo alguns dos algoritmos utilizados no sistema elétrico, assim como as duas metodologias propostas. A primeira delas faz uso do conceito de ajuste de curvas, enquanto que a segunda utiliza Redes Neurais Artificiais, ambas com o objetivo de realizar a estimação da amplitude e ângulo de fase de um sinal em tempo real. Em um segundo momento, é feita a análise comparativa dos dois métodos propostos com quatro algoritmos bastante conhecidos e utilizados nos relés numéricos. A comparação é feita através da criação de diversos sinais de teste com diferentes parâmetros de simulação. A partir dessas simulações, são usados seis índices de desempenho para a avaliação quantitativa de cada algoritmo, de onde, a partir da média aritmética destes índices, pode-se determinar o método mais eficaz para cada caso. Por fim, após todos os testes terem sido realizados, com base em seus resultados numéricos, é realizada uma condensação das características de cada algoritmo. Com base nos valores obtidos em cada índice de desempenho, são destacados os pontos fortes e fracos, bem como a classificação geral de cada método.

Nesse trabalho procede-se a modelagem e simulação do motor de indução trifásico considerando-se as notações trifásicas, ortogonais, vetoriais e complexas, mos-trando seus equacionamentos e também o resultado das simulações. Para a simulação foram usados alguns programas de domínio da área acadêmica, comparando seus desempenhos quanto à apresentação de resultados e também tempo de processamen-to. Este trabalho apresenta também, um enfoque para o método de simulação do mo-tor de indução trifásico utilizando a notação vetorial complexa, o qual é baseado na notação vetorial do motor de indução que é caracterizado por grandezas complexas. Essa técnica é obtida através de simples manipulações das equações vetoriais do modelo do motor de indução compondo uma equação de estado complexa. Com o auxílio do programa Matlab, consegue-se simular o motor de indução trifásico sem a necessidade de separar os termos complexos em duas equações reais, relativas as partes real e imaginária. O que além de simplificar o procedimento de simulação também contribui para a construção do diagrama de blocos para poder entender melhor o comportamento do modelo estudado. São apresentadas no final do trabalho, as conclusões obtidas e, também, sugestões tanto para continuação do trabalho, quanto novas linhas de pesquisas. / In this work it is carried out the modelling and simulation of the three-phase induction motor. It's considered three-phase, orthogonal, vectorial and complex notations, showing the different model equations and the result of the computational simulations. For the simulation it was used different software’s of the academic area, and its results and computational performance are compared. This work gives em-phasis to in new modelling procedure by using complex vector notation. This new method is based on the vectorial notation of the induction motor, which is characterized by complex entities. Through simple manipulations of complex vector equation of the dynamic induction motor equation, it is possible to compose a complex space-state equation. This complex model come be solved with Matlab software without the separation of its complex terms in two real equations. Other advantage of the complex model is the simplifying the simulation procedure and the possibilities of the blocks diagram representation. The final conclusions and suggestions for con-tinuation are presented in the end of work.

Submitted by Renata Lopes (renatasil82@gmail.com) on 2017-01-03T12:10:09Z No. of bitstreams: 1 matheusalbertodesouza.pdf: 12016608 bytes, checksum: 7403ebccb4f05e67a5f65a371f64f7e4 (MD5) / Approved for entry into archive by Diamantino Mayra (mayra.diamantino@ufjf.edu.br) on 2017-01-31T10:31:30Z (GMT) No. of bitstreams: 1 matheusalbertodesouza.pdf: 12016608 bytes, checksum: 7403ebccb4f05e67a5f65a371f64f7e4 (MD5) / Made available in DSpace on 2017-01-31T10:31:30Z (GMT). No. of bitstreams: 1 matheusalbertodesouza.pdf: 12016608 bytes, checksum: 7403ebccb4f05e67a5f65a371f64f7e4 (MD5) Previous issue date: 2016-09-30 / O presente trabalho tem por objetivo apresentar uma metodologia para a detecção de perdas comerciais de energia em sistemas de distribuição, bem como a identificação do usuário fraudulento em Infraestruturas Avançadas de Medição, próprias de Smart Grids. ParaaetapadedetecçãodeperdascomerciaisdeenergiaéutilizadoumEstimadorEstático de Estados Trifásico baseado em Medições Fasoriais Sincronizadas (Phasor Measurements Units - PMUs). Essa etapa visa detectar os transformadores na rede de distribuição, os quais, apresentam indícios de furtos/fraudes de energia, através da observância da curva de carga estimada. A próxima etapa visa identificar os consumidores, conectados aos transformadores suspeitos, que cometem o ato ilícito. Para isto, treinou-se uma Rede Neural Artificial (RNA) de Kohonen para clusterizar os consumidores honestos de acordo compadrõesdeconsumosemelhantes,apartirdedadosdeconsumoprovenientesdosSmart Meters decadacliente. ParacadaclassedefinidapelaRNAdeKohonencriou-seumaRNA MultiLayer Perceptron (MLP) para fins de classificação dos consumidores em duas classes, honestos ou fraudulentos. As duas grandes contribuições do trabalho estão em utilizar a técnica de detecção para diminuir o número de Falsos Positivos (FP) das metodologias de classificação, sem a necessidade de medições individuais nos transformadores, e a utilização de RNAs a partir de dados de medições do sistema de distribuição de forma robusta, em que não há a necessidade de medições sem perdas comerciais de energia para todos os consumidores do sistema. A forma de tratamento dos dados de medições ainda possibilita manter a privacidade dos usuários, questão bastante debatida no cenário mundial. Foram realizados testes para a etapa de detecção de perdas comerciais com os sistemas IEEE 33 Barras e IEEE 70 barras. Para a etapa de identificação do consumidor fraudulento foram utilizados dados de consumo reais de mais de 5000 consumidores provenientes de Smart Meters liberados pela Autoridade de Eletricidade e Energia Sustentável da Irlanda. Os testes mostraram bons resultados tornando a metodologia proposta aplicável na detecção e identificação de perdas comerciais de energia elétrica em Smart Grids. / This work aims to present a methodology for the detection of energy theft in distribution systems as well as the identification of the fraudulent users considering Advanced Metering Infrastructure, widely used in Smart Grids. For the stage of energy theft detection, a Static Three Phase State Estimator based on Synchronised Phasor Measurement Units (PMUs) is used. This step aims to detect the transformers in the distribution network, which have evidence of energy theft, by observing the estimated load curve. The next step is to identify consumers, connected to suspected transformers, which are stealing energy. For this, a Kohonen Artificial Neural Network (ANN) was trained to clustering honest consumers according to similar patterns of consumption, with the consumption data from the Smart Meters at every customer. For each class defined by the Kohonen ANN a MultiLayer Perceptron (MLP) ANN for classification of consumers into two classes, honest or fraudulent was created. The two major contributions of this work are the use of energy theft detection technique to reduce the number of false positives (FP) from the classification methods, without the need for individual measurements on the transformers, andtheuseofANNfromdistributionsystemmeasurementsmakethetechiniquerobust, in which there is no need for measurements without comercial loss of energy for all consumers. The way that the measurement data is treated allows maintaining the privacy of the consumers which is a debated question on the world. Tests were conducted for energy theft detection step with IEEE 33 Buses and IEEE 70 Buses systems. For the fraudulent user identification step, actual consumption data were used over 5000 consumers from their SmartMetersreleasedbytheElectricityAuthorityandSustainableEnergyofIreland. The tests showed good results making the proposed methodology applicable in the detection and identification of energy theft in Smart Grids.

Made available in DSpace on 2016-08-17T14:53:18Z (GMT). No. of bitstreams: 1 Dissertacao Rodrigo Albuquerque.pdf: 3312916 bytes, checksum: c9ee0be229b62b8aafd7816c3400351d (MD5) Previous issue date: 2012-01-23 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / The state estimation process applied to electric power systems aims to provide a trustworthy ―image‖, coherent and complete of the system operation, allowing an efficient monitoring. The state estimation is one of the most important functions of energy management systems. In this work, will be proposed alternative methods of state estimation for electric power systems in the levels of transmission, subtransmission and distribution. For transmission systems are proposed two hybrid methods considering the insertion of conventional measurements combined with phasor measurements based on phasor measurement unit (PMU). To estimate the state in subtransmission systems is proposed an alternative method which, in occurrence of failures in active and/or reactive meters in the substations, uses a load forecasting model based on criteria similar days and application of artificial neural networks. This process of load forecasting is used as a generator of pseudo measurements in state estimation problem, which takes place through the propagation of phasor measurements provided by a PMU placed in the boundary busbar. For the distribution system state estimation the proposed method uses the mathematical method of weighted least squares with equality constraints by modifying the set of measurements and the state variables. It is also proposed a methodology evaluation of the PMUs measurement channel availability for observability analysis. The application of the proposed methods to test systems shows that the results are satisfactory. / O processo de estimação de estado aplicado a sistemas elétricos de energia tem como objetivo fornecer uma imagem confiável, coerente e completa da operação do sistema, permitindo um monitoramento eficiente. A estimação de estado é uma das funções mais importantes dos sistemas de gerenciamento de energia. Neste trabalho são propostos métodos alternativos de estimação de estado para sistemas elétricos nos níveis de transmissão, subtransmissão e de distribuição. Para sistemas de transmissão são propostos dois métodos híbridos considerando a inserção das medições convencionais combinadas com medições fasoriais baseadas na unidade de medição fasorial (PMU - Phasor Measurement Unit). Para a estimação de estado em sistemas de subtransmissão é proposto um método alternativo que, na ocorrência de falhas nos medidores de potência ativa e/ou reativa das subestações, utiliza um modelo de previsão de carga baseado no critério de dias similares e na aplicação de redes neurais artificiais. Esse processo de previsão de carga é utilizado como gerador de pseudomedições na estimação de estado, que se dá através da propagação da medição fasorial fornecida por uma PMU alocada no barramento de fronteira. Para sistemas de distribuição o método de estimação de estado proposto consiste em aplicar o método de mínimos quadrados ponderados com restrições de igualdade, modificando-se o plano de medição e as variáveis de estado. Também é proposta uma metodologia para avaliação da disponibilidade dos canais de medições da PMU e o seu impacto na observabilidade do sistema. A aplicação dos métodos propostos a sistemas teste mostram que os resultados obtidos são satisfatórios.

Submitted by Renata Lopes (renatasil82@gmail.com) on 2016-04-15T15:27:12Z No. of bitstreams: 1 ingridsoarespereira.pdf: 1591373 bytes, checksum: 3eaabd818bc093a00de802152356d2ea (MD5) / Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2016-04-24T03:19:52Z (GMT) No. of bitstreams: 1 ingridsoarespereira.pdf: 1591373 bytes, checksum: 3eaabd818bc093a00de802152356d2ea (MD5) / Made available in DSpace on 2016-04-24T03:19:52Z (GMT). No. of bitstreams: 1 ingridsoarespereira.pdf: 1591373 bytes, checksum: 3eaabd818bc093a00de802152356d2ea (MD5) Previous issue date: 2015-08-31 / Este trabalho apresenta uma nova abordagem para o problema de Estimação de Estados em Redes de Distribuição de Energia Elétrica utilizando os dados históricos de cargas e medidas obtidas pelos Sistemas de Medição Fasorial Sicronizada (PMUs – Phasor Measurement Units). Nesta formulação as tensões em módulo e fase são escolhidas como variáveis de estados e o problema é matematicamente formulado como um problema de otimização com restrições de igualdade e desigualdade. A função objetivo é formada pela soma quadrática dos resíduos de estimação, definidos como a diferença entre os valores medidos através das PMUs e os valores calculados. As restrições de igualdade são as injeções de potencia ativa e reativa nulas nas barras de passagem. As restrições de desigualdade estão associadas às potências ativas e reativas das barras não monitoradas, onde admite-se limites inferiores e superiores em função dos dados históricos das cargas (potências ativas e reativas). Estudos de casos são realizados utilizando-se um sistemas simples 10 barras, e os sistemas IEEE da literatura de 33 e 84 barras. Os dados de medições fasoriais foram obtidos utilizandose um programa computacional de cálculo de fluxo de potência. Os resultados da estimação de estados utilizando a metodologia proposta foram obtidos através de simulações no ambiente MATLAB e comparados com os resultados do programa de fluxo de potência para validação. A utilização de medição fasorial sincronizada nos entroncamentos e no final dos ramais do sistema de distribuição associada à utilização de restrições de desigualdade para as potências ativas e reativas das cargas não monitoradas são as principais contribuições deste trabalho. / This work presents a new approach to the State Estimation problem in Electrical Distribution Networks using historical data loads and measurements obtained by Phasor Measurement Units (PMUs). In this formulation voltage magnitudes and angles are chosen as state variables and the problem is mathematically formulated as an optimization problem with equality and inequality constraints. The objective function is formed by the quadratic sum of weighted measurements residues, which are defined as the difference between the PMU measurements and the calculated values. The equality constraints are defined as the zero injections of active and reactive power at the no load buses. The inequality constraints are associated with active and reactive powers of non-monitored buses, bounded by a given limit, superior or inferior in relation to historical data loads (active and reactive powers). Case studies are performed using a simple 10-bus test system, and the 33 and 84 buses IEEE test systems. The data phasor measurements were obtained using a computer program that calculates power flow. The state estimation results using the proposed methodology were obtained through simulations in MATLAB environment and compared with the results of power flow program for validation. The use of synchronized phasor measurement at the beginning and at the end of the lateral feeders of the distribution system associated with the use of inequality constraints for active and reactive power for the non-monitored loads are the main contributions of this work.

Submitted by Patrícia Cerveira (pcerveira1@gmail.com) on 2017-06-12T18:19:03Z No. of bitstreams: 1 José Renato Cozzolino.pdf: 2923143 bytes, checksum: 2941736082bf50938fdb3dcfea03c36e (MD5) / Approved for entry into archive by Biblioteca da Escola de Engenharia (bee@ndc.uff.br) on 2017-07-03T13:30:54Z (GMT) No. of bitstreams: 1 José Renato Cozzolino.pdf: 2923143 bytes, checksum: 2941736082bf50938fdb3dcfea03c36e (MD5) / Made available in DSpace on 2017-07-03T13:30:54Z (GMT). No. of bitstreams: 1 José Renato Cozzolino.pdf: 2923143 bytes, checksum: 2941736082bf50938fdb3dcfea03c36e (MD5) / A estimação correta de frequência é essencial para a operação de diversos equipamentos de proteção, regulação e controle, os quais são necessários para operação adequada do Sistema Interligado Nacional A tecnologia de Sistemas de Medição Fasorial Sincronizada (Synchronized Phasor Measurement Systems - SPMS), baseia-se em uma rede de Unidades de Medição Fasorial (Phase Measurement Unit - PMU). Duas grandezas importantes medidas pela PMUs são a frequência e a taxa de variação da frequência. Este trabalho apresenta o resultado de estudo comparativo de algoritmos de estimação de frequência no âmbito de medição fasorial sincronizada. Foram avaliados os modelos propostos originalmente pela Norma IEEE C37.118, por seu documento de alteração ( IEEE Std. C37.118.1a-2014 Amendment), alem de três diferentes tipos de algoritmos baseados em PLLs (Phasor Locked Loop). As avaliações foram executadas com base nos testes descritos na Norma IEEE C37.118 e seus respectivos requisitos de conformidade. Verificou-se que as modificações apresentadas pelo documento Amendment foram necessárias para que o modelo de PMU proposto atendesse os requisto para todos os testes. Em relação aos modelos de PLL, verificou-se que uma versão do algoritmo (chamada aqui de PLL de Classe III) foi bem superior às demais e também melhor que o algoritmo sugerido pelo Amendment no que se refere ao teste de derivada da frequência e de modulação de fase. / An accurate frequency estimation is essential for the operation of Electric Power System regarding protection and control. Synchronized Phasor Measurement Systems - SPMS are based on a network composed by Phasor Measurement Units (Phase Measurement Unit - PMU). Two important parameters measured by the PMUs are the frequency and the frequency rate of change. This paper presents the results of a comparative study of frequency estimation algorithms within synchronized phasor measurement context. The reference model proposed in by IEEE C37.118 standard was compared with three different algorithms based on PLLs (Phasor Locked Loop). The evaluations were performed based on the compliance requirements described in IEEE C37.118. It was also found that the PLLs models have superior performance than model reference for P PMU suggested by Standard. Regarding the reference model for PMU M, there is a need to implement anti-aliasing filters for the standard inter-harmonics tests. After that, it was observed that the dynamic performances of PLLs studied at work are compatible with the algorithms suggested by the standard for the PMU M.