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Análise de Tópicos Relevantes em Programação Linear e Aplicações no Ensino de EngenhariaDornellas, Carlos Antonio [UNESP] 12 December 2014 (has links) (PDF)
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000844250.pdf: 1828617 bytes, checksum: 76e731b5aec7d79741d059ecd22502c8 (MD5) / A presente pesquisa apresenta uma análise teórica de alguns tópicos relevantes de programação linear relacionados ao método simplex. A motivação de analisar esses tópicos é torná-los mais didáticos e incentivar a aplicação dos mesmos na otimização de sistemas de energia elétrica e, em geral, na aplicação na otimização de problemas de engenharia. O método simplex em programação linear (PL) que foi por muito tempo a principal técnica de otimização de problemas de otimização lineares e não lineares (usado após a linearização) ainda é o mais utilizado na otimização de muitos problemas reais na engenharia e particularmente na engenharia elétrica. O método simplex resolve um problema de programação linear usando uma estratégia conceitualmente refinada. Para conhecer todas as versões do método simplex que podem ser usadas para resolver um problema de programação linear e também para dominar a parte conceitual do mesmo é necessário entender o ótimo de um problema de programação linear, quando um problema de programação linear é ilimitado, a lógica de otimização do método primal simplex, as condições nas quais um método simplex precisa de variáveis artificiais, o método primal simplex revisado, a teoria da dualidade em programação linear, a lógica de otimização do método dual simplex, a teoria da análise de sensibilidade e p ́os-otimizac ̧ão em programação linear, a lógica de otimização do método primal simplex canalizado bem como do método dual simplex canalizado. O produto desta pesquisa consiste em gerar um material didático que ajude de forma mais eficiente aos iniciantes em tópicos de pesquisa operacional. Desta forma, apresenta-se uma análise teórica e a reformulação de alguns tópicos relevantes relacionados com o método simplex na resolução de problemas de PL / This research presents a theoretical analysis of some relevant topics related to linear programming via simplex method. The motivation of analyzing these topics makes them more didactic and easy to understand. As these kinds of methodologies are fast and unequivocal, they are applicable in various real-world engineering problems particularly in the field of power system optimization. In linear programming (LP), the simplex method has been the main technique to optimize the linear problem as well as the linearized problem (a problem with the nonlinear nature). The simplex method solves a linear programming problem using a conceptually refined strategy. In order to understand all of the available versions of the simplex method that can be used to find the solution of a linear programming problem and in order to have a detail study on them, it is necessary to understand: the optimality of such problems, where a linear programming problem is limited, the logic of optimization of the primal simplex method, in which condition a simplex method needs artificial variables, the revised primal simplex method, the duality theory in linear programming, the logic of optimization of the dual simplex methodology, the theory of sensitivity analysis and post-optimization in linear programming, and the logic of the primal or dual simplex for the boundary variables. The output of this research is to prepare a didactic reference and a user manual to help the beginner researchers in operations research. Therefore, a theoretical analysis and reformulation of some relevant topics related to the simplex method for solving LP problems is presented
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Particle swarm optimization aplicada ao planejamento da expansão de sistemas de transmissãoResende, Adriana Souza [UNESP] 28 February 2014 (has links) (PDF)
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000794229.pdf: 1336859 bytes, checksum: 2709e1209d7b9c68eb2eec145dcde590 (MD5) / Neste trabalho, são propostas duas metodologias para resolver o problema de planejamento da expansão de sistemas de transmissão (PPEST). A primeira delas é uma apresentação de um algoritmo baseado em meta-heurística, Particle Swarm optimization (PSO), como ferramenta para resolver o PPEST estático. Nesta proposta são usados os modelos matemáticos de transporte e CC. Ambos os modelos foram implementados na linguagem de programação FORTRAN e o solver comercial MINOS foi usado para resolver os problemas de programação linear relacionados. A segunda proposta apresenta o PPEST considerando múltiplos cenários de geração usando o modelo linear disjuntivo. Este modelo foi implementado via AMPL e resolvido usando o solver comercial CPLEX. A fim de validar e qualificar a primeira metodologia proposta, cinco sistemas foram estudados, são eles: Garver, IEEE 24-barras, Sul Brasileiro, Colombiano e Norte-Nordeste Brasileiro. E para a segunda metodologia proposta, três sistemas foram estudados, são eles: Garver, IEEE 24-barras, Sul Brasileiro. Os resultados mostraram a eficiência e utilidade das duas metodologias propostas / In this work, two methodologies to solve the transmission network expansion planning (TNEP) problem have been proposed. The first one is a presentation of a meta-heuristic based algorithm, Particle Swarm Optimization (PSO), as a tool to solve static TNEP problems. In this proposition, the mathematical models of transportation model and the DC model have been used. Both the models have been implemented via the programming language of FORTRAN and the commercial solver of MINOS has been used to solve the related LP problems. The second proposal, presents the TNEP problem considering multiple generation scenarios using the disjunctive linear model. This model has been implemented via AMPL and solved by the commercial solver of CPLEX. In order to validate and qualify the first proposed methodology, five case studies have been carried out, these cases are: Garver, IEEE 24-bus, Southern Brazil, Colombian, and Brazilian North-Northeast systems. And for the second proposed methodology, 3 case studies have been used such as: Garver, IEEE 24-bus and Southern Brazil test systems. The results show the effectiveness and the usefulness of the proposed methodologies
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Reconfiguração de alimentadores em sistemas de distribuição usando uma metaheurística e espaço de busca reduzidoFioravanti Junior, Celso [UNESP] 17 January 2014 (has links) (PDF)
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000794407.pdf: 4698769 bytes, checksum: 53c9b02bcf68c5d45e286aa866d2b61d (MD5) / Neste trabalho, o algoritmo genético de Chu-Beasley especializado foi utilizado para resolver o problema de reconfiguração de sistemas de distribuição de energia elétrica, que é modelado como um problema de programação não linear inteiro misto. Um objetivo do trabalho é definir um espaço de busca reduzido, para reduzir o tempo computacional do algoritmo genético de Chu-Beasley especializado para resolver um problema de reconfiguração de sistemas de distribuição de energia elétrica. Para avaliar a factibilidade em relação às restrições de operação dos sistemas de energia elétrica foi implementado um algoritmo de fluxo de carga radial, para calcular o estado deste sistema e, a partir deste, as perdas de potência ativa e as correntes nos ramos. São apresentados testes realizados utilizando os sistemas de 14, 33, 84, 119 e 417 barras para avaliar a eficiência e robustez da metodologia proposta. Os resultados obtidos foram apresentados e comparados com os resultados encontrados na literatura / In this paper, Chu-Beasley’s specialized genetic algorithm will be used to solve the reconfiguration of distribuition system problem, which was modeled such as mixed integer nonlinear programming problem. In this work was defined a reduced search space to reduce the computational time of genetic algorithm of Chu-Beasley’ specialized to solve the reconfiguration of distribution systems problem. To evaluate the feasibility regarding constraints of the electrical power systems' operation, an algorithm for radial load flow was implemented to calculate these nodal tensions of these systems and, losses and currents of the system. Tests are presented using the systems of 14, 33, 84, 119 and 417 buses to avaluate the efficiency and robustness of the proposed method. The results were presented and compared to those found in the literature
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Real-Time Power System Topology Monitoring Supported by Synchrophasor MeasurementsJanuary 2015 (has links)
abstract: ABSTRACT
This dissertation introduces a real-time topology monitoring scheme for power systems intended to provide enhanced situational awareness during major system disturbances. The topology monitoring scheme requires accurate real-time topology information to be effective. This scheme is supported by advances in transmission line outage detection based on data-mining phasor measurement unit (PMU) measurements.
A network flow analysis scheme is proposed to track changes in user defined minimal cut sets within the system. This work introduces a new algorithm used to update a previous network flow solution after the loss of a single system branch. The proposed new algorithm provides a significantly decreased solution time that is desired in a real- time environment. This method of topology monitoring can provide system operators with visual indications of potential problems in the system caused by changes in topology.
This work also presents a method of determining all singleton cut sets within a given network topology called the one line remaining (OLR) algorithm. During operation, if a singleton cut set exists, then the system cannot withstand the loss of any one line and still remain connected. The OLR algorithm activates after the loss of a transmission line and determines if any singleton cut sets were created. These cut sets are found using properties of power transfer distribution factors and minimal cut sets.
The topology analysis algorithms proposed in this work are supported by line outage detection using PMU measurements aimed at providing accurate real-time topology information. This process uses a decision tree (DT) based data-mining approach to characterize a lost tie line in simulation. The trained DT is then used to analyze PMU measurements to detect line outages. The trained decision tree was applied to real PMU measurements to detect the loss of a 500 kV line and had no misclassifications.
The work presented has the objective of enhancing situational awareness during significant system disturbances in real time. This dissertation presents all parts of the proposed topology monitoring scheme and justifies and validates the methodology using a real system event. / Dissertation/Thesis / Doctoral Dissertation Electrical Engineering 2015
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Metodologia para o planejamento da operação de sistemas hidrotérmicos em mercado elétrico competitivoParedes Quiñones, Miguel [UNESP] 17 February 2012 (has links) (PDF)
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paredesquinones_m_me_ilha.pdf: 1414308 bytes, checksum: 2da97bcc0006bca0f620b6c44bf8177e (MD5) / Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) / Neste trabalho foi desenvolvido um modelo baseado em programação linear inteira mista para determinar o custo mínimo da operação de um sistema hidrotérmico de longo prazo em um mercado elétrico competitivo. O modelo é capaz de encontrar os valores ótimos de operação para um período futuro nas usinas térmicas e hidroelétricas, considerando os limites normais e de emergência e as perdas de potência ativa nas linhas de transmissão, para diferentes níveis de carregamento, com múltiplos reservatórios de acumulação e de regulação. Adicionalmente, a previsão da hidrologia foi modelada mediante modelo SARIMA para o período de análise, considerando o histórico dos dados hidrológicos. O modelo foi implementado na linguagem de modelagem matemática GMPL. O problema de programação linear inteira mista foi resolvido usando o solver GLPSOL. As predições das hidrologias foram feitas na linguagem estatística R. Foi desenvolvida uma interface gráfica para gerenciar o modelo em GMPL, a previsão hidrológica em R e o solver GLPSOL na linguagem Qt. Desta forma é possível adicionar novos modelos, alterar dados do modelo e visualizar os resultados. Todas as linguagens e softwares usados são livres de distribuição e modificação. Para o modelo desenvolvido foram analisados os seguintes casos: sistema de 6 barras; sistema uninodal brasileiro e sistema interligado peruano. Os resultados obtidos foram comparados com os resultados encontrados na literatura com o objetivo de validar a proposta deste trabalho / In this work developed a model based on mixed integer linear programming to determine the minimum cost of operation of a hydrothermal system in a long-term competitive electricity market. The model is able to find the optimal values of operation for a future period in thermal and hydroelectric power plants, considering the normal and emergency limits and the active power losses in transmission lines, for different loading levels, with multiple storage reservoirs and dams. In addition, predicting the hydrology was modeled by the SARIMA model for the period of analysis, considering the hydrological historical data. The model was implemented in the language of mathematical modeling GMPL. The mixed linear integer programming problem was solved using solver GLPSOL. The predictions in the hydrology using the statistical language R. It was developed a graphical interface to manage the GMPL model, the hydrologic forecasting, and solver GLPSOL in Qt graphical language. By this way, is possible to add new models, change the data of the model and view the results. All languages and software used are free to distribute and modify. For the model developed the following cases were analyzed: 6 bar system; Brazilian uninodal system and Peruvian interconnected system. The results were compared with results in the literature in order to validate the proposal of this work
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Algoritmo GRASP especializado aplicado ao problema de reconfiguração de alimentadores em sistemas de distribuição radialSouza, Simone Silva Frutuoso de [UNESP] 25 February 2013 (has links) (PDF)
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souza_ssf_me_ilha.pdf: 808468 bytes, checksum: b5fdf2d46cfc01fa8badedc74f75df55 (MD5) / Neste trabalho apresenta-se uma metodologia para resolver o problema de reconfiguração de sistemas de distribuição de energia elétrica, que é modelado como um problema de Programação Não Linear Inteiro Misto (PNLIM). Para resolver este problema utilizou-se a metaheurística GRASP especializada. O objetivo do problema de reconfiguração de sistemas de distribuição de energia elétrica é encontrar a melhor topologia radial para um sistema de distribuição de energia elétrica de forma que as perdas ativas do sistema sejam as menores possíveis. Na metodologia proposta, todas as chaves de interconexão do sistema de distribuição estão abertas no inicio do processo e a cada passo um circuito é conectado no sistema e uma solução factível é construída. O algoritmo GRASP foi escrito na linguagem de modelagem matemática AMPL onde a cada iteração é resolvido um problema de programação não linear utilizando o solver comercial KNITRO. Para evidenciar a eficácia da metodologia proposta foram realizados testes com sistemas de 14, 33, 70, 84, 119, 136 e 417 barras, estes resultados são comparados com os resultados encontrados na literatura especializada / This work presents a methodology to solve the electric power distribution systems reconfiguration problem, which is modeled as a Mixed Integer Nonlinear Programming problem (MINLP). Specialized metaheuristic GRASP was used to solve the problem. The aim of the reconfiguration problem is to find the best topology for a radial electric power distribution system so that the active power losses are as small as possible. In the proposed methodology, at the beginning of the solution process all switches that interconnect the distribution system are open and in each next step a circuit is connected to the distribution system and therefore a feasible solution is constructed. The GRASP algorithm was written in AMPL mathematical modeling language where in each iteration was solved a nonlinear programming problem using the commercial solver KNITRO. To demonstrate the effectiveness of the proposed methodology, tests were performed with distribution systems of 14, 33, 70, 84, 119, 136, and 417 buses, these results are compared with results found in literature
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Análise dos zeros da FTMA e ajuste de parâmetros de controladores suplementares de amortecimento acoplado ao dispositivo FACTS UPFC /Moura, Ricardo Frangiosi de. January 2012 (has links)
Orientador: Percival Bueno de Araujo / Banca: Laurence Duarte Colvara / Banca: Dilson Amancio Alves / Banca: Francisco Damasceno Freitas / Banca: George Lauro Ribeiro de Brito / Resumo: Este trabalho trata da análise da estabilidade a pequenas perturbações de sistemas elétricos de potência multimáquinas considerando a atuação de Estabilizadores de Sistemas de Potência (ESPs) e de controladores do tipo Power Oscillation Damping acoplados a dispositivos FACTS UPFC (conjunto UPFC/POD). Um de seus objetivos é analisar como o posicionamento dos zeros da função de transferência em malha aberta (FTMA) do sistema elétrico de potência influencia na localização e na capacidade dos controladores em introduzir amortecimento às oscilações de baixa frequência. De maneira usual, uma análise de sensibilidade, através do método dos resíduos fornece a localização para instalação do conjunto UPFC/POD e/ou ESP. Entretanto, será mostrado neste trabalho que a quantidade de amortecimento fornecido ao modo eletromecânico de interesse utilizando os controladores suplementares de amortecimento é limitada pelo zero da FTMA do controlador. Desta forma, o ESP ou o conjunto UPFC/POD instalado na melhor localização obtida através do método dos resíduos pode não fornecer o coeficiente de amortecimento desejado ao polo de interesse. Outro objetivo é o ajuste dos parâmetros destes controladores e são utilizadas duas técnicas, sendo uma baseada na compensação de fase e chamada de método dos resíduos. Também é proposta outra forma de ajuste, fundamentada em algoritmos genéticos. Para a execução desses estudos o Modelo de Sensibilidade de Potência é utilizado para a representação do sistema elétrico de potência. Resultados são apresentados para dois sistemas teste: sistema simétrico com 4 geradores, 10 barras e 9 linhas de transmissão e o sistema New England com 10 geradores, 39 barras e 46 linhas de transmissão / Abstract: This work deals with the small-signal stability analysis of multimachine power systems considering the Power System Stabilizers (PSS) and Power Oscillation Damping (POD) performance. POD is coupled to the FACTS (Flexible Alternating Current Transmission Systems) UPFC (Unified Power Flow Controller). An analysis of the open-loop transfer function (OLTF) zeros of the electric power systems is carried out aiming to verify the influence of the OLTF zeros placement on the controllers location and ability to introduce damping to low frequency oscillations. In the usual way, a sensitivity analysis, using the residue method, provides the UPFC/POD and/or PSS location. However, will be shown in this work that the damping provided to interest eigenvalue using a supplementary damping controller is limited by the OLTF zeros placement. Thus, the PSS or the UPFC/POD installed in the best location obtained by the residue method cannot provide the desired damping coefficient to the interest pole. Another objective of this work is to evalmate the performance of the controller parameters tuning. Two techniques are used with this objetive. One of then is based on phase compensation and called the residue method. The second one is based on genetic algorithm method. For the execution of these studies the Power Sensitivity Model (PSM) is used to represent the electric power system. Results are presented for two test systems: a test system with 4 generators, 10 buses and 9 transmission lines and the New England System that has 10 generators, 39 buses and 46 transmission lines / Doutor
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Modelling and development of fuel cell off grid power converter systemRaji, Atanda Kamoru January 2008 (has links)
Thesis submitted in partial fulfilment of the requirements for the degree
Magister Technologiae: Electrical Engineering
in the Faculty of Engineering
at the Cape Peninsula University of Technology
2008 / Fuel cell technology is an emerging technology that provides a highly efficient, quiet
operation, reliable, and environmentally friendly energy conversion system for stationary,
automobile (vehicle), and portable applications. An electrochemical process combines
hydrogen fuel and oxygen from air to produce water, and in the process it produces
electricity and heat. Fuel cell stationary applications which include residential, office
buildings, hospitals, hotels, airports and others have received greater attention for their
ability to utilize the heat generated for space and water heating. This combined heat and
power (CHP) process increases the energy conversion efficiency greatly which in turn
save cost of energy usage.
Different power converter topologies for fuel cell systems residential applications are
presented in this thesis for efficiency, cost, component count, input ripple current
minimization technique, reliability for comparison analysis. The commercial feasibility of
fuel cells rests on the cost of the fuel cell system and operating efficiency and fuel cost.
The proposed power converter topology consists of two front end DC-DC converters.
The first front-end DC-Dc converter is tightly controlled while the second is a full bridge
four interleaved DC-DC converters. Advantages of the proposed topology are reduced
input ripple current, high efficiency, low maintenance cost, smaller size, modularity,
redundancy. Design overview as well as simulation results are presented.
Fuel cell simulation test results, including transient response are displayed and
analyzed. The concept of interleaving of multiple units of the De-De converter is
proposed. Interleaving enables paralleling multiple units of the converters to achieve a
high combined power. This results in using semiconductor power devices of lower
current rating, lowering sizes of input and output capacitors and reducing the output
ripples. Simulations results are presented that verify the concept of interleaving.
Preliminary work to implement interleaving is presented, and future work is
recommended.
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Flow charts and indices for evaluating true efficiency and effectiveness of harmonic filters in power systemsAmushembe, Hilde January 2014 (has links)
Thesis submitted in fulfilment of the requirements for the degree
Master of Technology: Electrical Engineering
in the Faculty of Engineering
at the Cape Peninsula University of Technology / Traditionally, efficiency is defined for sinusoidal networks and not for non-sinusoidal networks. For this reason, the efficiency formula and indices for efficiency calculations are reviewed. The concepts for determining powers, efficiency and power direction of flow in a non-sinusoidal network are explained. A new index „True Efficiency‟ is introduced to represent efficiency in non-sinusoidal circuits. Harmonic filters are installed in networks with harmonic distortion levels above the set standards for harmonic mitigation. However, there are no specific indices for evaluating the effectiveness of filter(s), hence the introduction of the index „Filter Effectiveness‟.
Two software tools are utilised to develop flow charts and indices for evaluating true efficiency and effectiveness of harmonic filters in a power system under distorted waveform conditions. In this way, the effect that distortions have on efficiency can be determined and the effectiveness of the mitigation measure in place can be evaluated. The methodologies are developed using a step-by-step approach for two software packages.
Three case studies were conducted on a large network. This network has multiple harmonic sources and capacitor banks. The first case study considered a network with two harmonic sources and three capacitor banks of which two are at the point of common coupling (PCC) and one is at a load bus; the second case study considered Case 1 with two capacitor banks at the PCC used as components for the 2nd - order filter and the third case considered Case 2 with a Notch filter added at one of the load buses. The network was simulated using DIgSILENT and SuperHarm software packages. DIgSILENT can calculate powers while SuperHarm gives current and voltages and power is hand calculated. The two packages were used together to test their compatibility and verify the network modelling.
For the different investigations conducted, the software-based methodologies developed to calculate true efficiency in a network with multiple harmonic sources and capacitor banks have been shown to be effective. The indices developed for evaluating the effectiveness of harmonic filters proved to be effective too. The two software packages used proved to be compatible as the results obtained are similar. The methodologies can easily be adapted for investigations of other large networks as demonstrated in this study. The true efficiency methodologies are thus recommended for application in this field as it will help determine efficiency for networks with non-linear loads and help mitigate the distortions.
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Measurement and modelling of geomagnetically induced currents (GIC) in power linesMatandirotya, Electdom January 2016 (has links)
Thesis (DTech (Electrical Engineering))--Cape Peninsula University of Technology, 2016. / Geomagnetically induced currents (GIC) are currents induced in ground-based conductor
networks in the Earth's surface. The GIC are driven by an electric eld induced by geomagnetic
variations which are a result of time-varying magnetospheric-ionospheric currents during adverse
space weather events. Several studies have shown that there is a likelihood of technological
damage (the power grid) in the mid- and low-latitude regions that could be linked to GIC during
some geomagnetic storms over the past solar cycles. The effects of GIC in the power system can
range from temporary damage (e.g. protective relay tripping) to permanent damage (thermal
transformer damage). Measurements of GIC in most substations are done on the
neutral-to-ground connections of transformers using Hall-effect transducers. However, there is a
need to understand the characteristics of GIC in the power lines connected to these transformers.
Direct measurements of GIC in the power lines are not feasible due to the low frequencies of these
currents which make current measurements using current transformers (CT) impractical. This thesis discusses two techniques that can be employed to enhance understanding GIC
characteristics in mid-latitude regions. The techniques involve the measurement of GIC in a power
line using differential magnetometer measurements and modelling GIC using the finite element
method. Low frequency magnetometers are used to measure magnetic felds in the vicinity of the
power lines and the GIC is inferred using the Biot-Savart law. A finite element model, using
COMSOL-Multiphysics, is used to calculate GIC with the measured magnetic field and a realistic
Earth conductivity profile as inputs. The finite element model is used for the computation of
electric field associated with GIC modelling.
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