Decomposição modal de linhas de transmissão a partir do uso de duas matrizes de transformação

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Método da continuação aplicado na análise de contingência de linhas de transmissão

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Esquemas alternativos para o passo de parametrização do método da continuação baseados em parâmetros físicos

O método de fluxo de carga convencional é considerado inadequado para se obter o ponto de máximo carregamento (PMC) de sistemas de potência, devido à singularidade da matriz Jacobiana neste ponto. Os métodos da continuação são ferramentas eficientes para a solução deste tipo de problema, visto que técnicas de parametrização podem ser utilizadas para evitar a singularidade da matriz Jacobiana. Neste trabalho, novas opções para a etapa de parametrização do método da continuação são apresentadas. Mostra-se que variáveis com claro significado físico podem ser utilizadas na etapa de parametrização. As seguintes variáveis foram testadas: perda total de potência ativa e reativa, potência ativa e reativa na barra de referência, potência reativa das barras de geração, e as perdas de potência ativa e reativa nas linhas de transmissão (LT). Além de facilitar a implementação computacional do método de continuação, as técnicas de parametrização apresentadas simplificam a definição matemática e o entendimento do método por parte de engenheiros de potência, visto que os métodos de continuação existentes na literatura sempre utilizam técnicas de parametrização complexas, e de interpretação puramente geométrica. Resultados obtidos com a nova metodologia para os sistemas testes do IEEE (14, 30, 57 e 118 barras) mostram que as características de convergência do método de fluxo de carga convencional são melhoradas na região do PMC. Além disso, durante o traçado das curvas PV, as diversas técnicas de parametrização podem ser comutadas entre si possibilitando o cálculo de todos os pontos da curva com um número reduzido de iterações. Diversos testes são realizados para proporcionar a comparação do desempenho dos esquemas de parametrização propostos.

A Model for Bundled Conductors considering a Non-Homogeneous Distribution of the Current through Subconductors

This paper describes an alternative procedure to obtain an equivalent conductor from a bundled conductor, taking into account the distribution of the current in subcondutors of the bundle. Firstly, it is introduced a brief background about the concept of Geometric Mean Radius (GMR) and how this methodology is applied to define an equivalent conductor and its electric parameters. Emphasizing that the classical procedure, using GMR, is limited to premise which the current is equally distributed through subconductors. Afterwards, it is described the development of proposed method and applications for an equivalent conductor obtained from a conventional transmission line bundled conductor and from an equivalent conductor based on a bundle with compressed SF(6) insulation system, where the current is unequally distributed through subconductors.

Influência do tamanho e da forma da semente de milho sobre o desenvolvimento da planta e a produtividade de grãos

Due to the small and the round seeds represent a rather high proportion of an ear, this experiment viewed to study the effects of those factors on seed germinative performance in the field as well as on the plant traits related to grain yield. Six treatment combinations replicated five times were sown in Votuporanga/SP on 08/22/2008. Flat shaped (C) and round shaped (R) seeds were made to go through flat round and oblong hole screens which resulted in the following treatments: 1. C1: seeds remaining on the top of a 23/64 '' round hole screen, 2. C2G: 21/64 '', 3. C3M: 17/64 '' or 16/64 '', 4. R2GM: medium length seeds remaining on the top of 13 x 3/4 '' oblong hole screen, 5. R3M: medium length seeds remaining on a 12 x 3/4 '' (from 1 to 2 mm bigger than R3), and 6. R3: 12 x 3/4 ''. The soil of the experimental area was submitted to a no-till cultivation system and the rows were set 0.6 m apart from one another. Fifteen days after emergence (DAE), the plants were thinned to a population of 66,000 plants/ha. Harvest took place 115 DAE and the mean yield was of 12,498 kg ha(-1). Based on the results it was concluded that only the initial growth of the plants is significantly affected by seed size. Plant traits such as plant height, ear insertion height, culm diameter, number of grains per year, grain weight and size as well as grain yield evaluated 40 or more DAE are not significantly affected by seed size or seed shape.

Enraizamento de estacas herbáceas de nespereira (Eriobotrya japonica Lindl)

O cultivo da nespereira (Eriobotrya japonica Lindl) tem despertado interesse no Brasil, devido ao bom rendimento que proporciona aos produtores e à facilidade de comercialização. Com isso, cada vez mais se buscam métodos de propagação que preservem as características genéticas de interesse, induzam precocidade na formação da muda e no início de produção, além de baixo custo. O método de estaquia se adequa a estas características; sendo assim, o objetivo deste experimento é avaliar o efeito do tipo de estaca herbácea na produção de mudas de nespereira, num experimento conduzido na Faculdade de Ciências Agrárias e Veterinárias - FCAV/UNESP, Câmpus de Jaboticabal (SP), utilizando plantas matrizes de nespereiras, plantadas em 1977, da variedade Mizuho, pertencentes à coleção de plantas frutíferas da Universidade. Utilizaram-se estacas apicais herbáceas com e sem meristema apical, com 2 ou 4 folhas inteiras ou cortadas pela metade, num total de 6 tratamentos, 4 repetições e 12 estacas por parcela, em delineamento inteiramente casualizado. Após 120 dias do plantio das estacas em bandejas com vermiculita e mantidas sob câmara de nebulização, concluiu-se que a porcentagem de estacas vivas e a presença de calos foram significativamente maiores nas estacas apicais sem meristema e com quatro folhas inteiras, e não há efeito do tipo de estaca herbácea sobre o número de estacas enraizadas, número e comprimento médio de raízes. A presença de calos na base das estacas indica a possibilidade de estímulo natural de enraizamento que pode ser potencializada com a utilização de fitorreguladores.

Caracterização citogenética em Anadenanthera colubrina (Vell.) Brenan (Mimosoideae) e Guazuma ulmifolia Lam. (Sterculiaceae)

Análises cariotípicas são importantes ferramentas de auxílio aos estudos de relações taxonômicas dentro dos grupos vegetais. Espécies arbóreas nativas encontradas no cerrado brasileiro têm sido pouco analisadas do ponto de vista citogenético e citotaxonômico. Com o objetivo de determinar o número cromossômico diplóide, a biometria e a morfologia cromossômica de Anadenanthera colubrina (angico-branco) e Guazuma ulmifolia (mutambo), sementes dessas espécies foram coletadas no município de Três Lagoas, Mato Grosso do Sul, Brasil. A utilização de 8-hidroxiquinoleína 0,003M a 36ºC, durante três horas possibilitou a separação cromossômica. Coloração Giemsa 2% por três minutos permitiu o estudo cariológico. A classificação cromossômica foi baseada no índice centromérico. Anadenanthera colubrina possui 2n = 26 cromossomos com comprimento cromossômico médio de 1,349 µm ± 0,017 e formulação cariotípica 8SM + 14M + 2T + 2AC. Guazuma ulmifolia apresenta 2n = 16 cromossomos com comprimento médio de 1,225 µm ± 0,023 e formulação cariotípica 4SM + 10M + 2T. Esses resultados podem subsidiar estudos de taxonomia, de manipulação cromossômica, bem como auxiliar na produção de progênies híbridas em programas de melhoramento.

Study of alternative schemes for the parameterization step of the continuation power flow method based on physical parameters, part I: Mathematical modeling

The conventional power flow method is considered to be inadequate to obtain the maximum loading point because of the singularity of Jacobian matrix. Continuation methods are efficient tools for solving this kind of problem since different parameterization schemes can be used to avoid such ill-conditioning problems. This paper presents the details of new schemes for the parameterization step of the continuation power flow method. The new parameterization options are based on physical parameters, namely, the total power losses (real and reactive), the power at the slack bus (real or reactive), the reactive power at generation buses, and transmission line power losses (real and reactive). The simulation results obtained with the new approach for the IEEE test systems (14, 30, 57, and 118 buses) are presented and discussed in the companion paper. The results show that the characteristics of the conventional method are not only preserved but also improved.

Study of alternative schemes for the parameterization step of the continuation power flow method based on physical parameters, part II: Performance evaluation

New parameterization schemes have been proposed by the authors in Part I of this paper. In this part these new options for the parameterization of power flow equations are tested, namely, the total power losses (real and reactive), the power at the slack bus (real or reactive), the reactive power at generation buses, and the transmission line power losses (real and reactive). These different parameterization schemes can be used to obtain the maximum loading point without ill-conditioning problems, once the singularity of Jacobian matrix is avoided. The results obtained with the new approach for the IEEE test systems (14, 30, 57, and 118 buses) show that the characteristics of the conventional method are not only preserved but also improved. In addition, it is shown that the proposed method and the conventional one can be switched during the tracing of PV curves to determine, with few iterations, all points of the PV curve. Several tests were also carried out to compare the performance of the proposed parameterization schemes for the continuation power flow method with the use of both the secant and tangent predictors.

Clarke's alpha, beta, and zero components: A possible approach for the conceptual design of instrumentation compatible with IEEE Std. 1459-2000

This paper explains the conceptual design of instrumentation that measures electric quantities defined in the Std. 1459-2000. It is shown how the instantaneous-space-phasor approach, based on alpha, beta, 0 components, can be used to monitor electric energy flow, evaluate the utilization of transmission line, and quantify the level of harmonic pollution injected by nonlinear loads.

Time Domain Analyses for Three-phase Lines with Corrected Modal Transformation Matrix

The results presented in this paper are based on a research about the application of approximated transformation matrices for electromagnetic transient analyses and simulations in transmission lines. Initially, it has developed the application of a single real transformation matrix for a double three-phase transmission lines, because the symmetry of the distribution of the phase conductors and the ground wires. After this, the same type of transformation matrix has applied for symmetrical single three-phase transmission lines. Analyzing asymmetrical single three-phase lines, it has used three different line configurations. For these transmission line types, the errors between the eigenvalues and the approximated results, called quasi modes, have been considered negligible. on the other hand, the quasi mode eigenvalue matrix for each case was not a diagonal one. and the relative values of the off-diagonal elements of the approximated quasi mode matrix are not negligible, mainly for the low frequencies. Based on this problem, a correction procedure has been applied for minimizing the mentioned relative values. For the correction procedure application, symmetrical and asymmetrical single three-phase transmission line samples have been used. Checking the correction procedure results, analyses and simulations have been carried out in mode and time domain. In this paper, the last results of mentioned research are presented and they related to the time domain simulations.

Electric power systems transient stability analysis by neural networks

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Utilização de índices de estabilidade transitória para a avaliação de segurança dinâmica

Indices that report how much a contingency is stable or unstable in an electrical power system have been the object of several studies in the last decades. In some approaches, indices are obtained from time-domain simulation; others explore the calculation of the stability margin from the so-called direct methods, or even by neural networks.The goal is always to obtain a fast and reliable way of analysing large disturbance that might occur on the power systems. A fast classification in stable and unstable, as a function of transient stability is crucial for a dynamic security analysis. All good propositions as how to analyse contingencies must present some important features: classification of contingencies; precision and reliability; and efficiency computation. Indices obtained from time-domain simulations have been used to classify the contingencies as stable or unstable. These indices are based on the concepts of coherence, transient energy conversion between kinetic energy and potential energy, and three dot products of state variable. The classification of the contingencies using the indices individually is not reliable, since the performance of these indices varies with each simulated condition. However, collapsing these indices into a single one can improve the analysis significantly. In this paper, it is presented the results of an approach to filter the contingencies, by a simple classification of them into stable, unstable or marginal. This classification is performed from the composite indices obtained from step by step simulation with a time period of the clearing time plus 0.5 second. The contingencies originally classified as stable or unstable do not require this extra simulation. The methodology requires an initial effort to obtain the values of the intervals for classification, and the weights. This is performed once for each power system and can be used in different operating conditions and for different contingencies. No misplaced classification o- - ccurred in any of the tests, i.e., we detected no stable case classified as unstable or otherwise. The methodology is thus well fitted for it allows for a rapid conclusion about the stability of th system, for the majority of the contingencies (Stable or Unstable Cases). The tests, results and discussions are presented using two power systems: (1) the IEEE17 system, composed of 17 generators, 162 buses and 284 transmission lines; and (2) a South Brazilian system configuration, with 10 generators, 45 buses and 71 lines.

Clarke's alpha, beta and zero components: A possible approach for the conceptual design of instrumentation compatible with IEEE Std. 1459-2000

The paper explains the conceptual design of instrumentation that measures electric quantities defined in the trial-use Std. 1459-2000. It is shown how the Instantaneous-Space-Phasor (ISP) approach, based on α, β, 0 components, can be used to monitor electric energy flow, evaluate the utilization of transmission line and quantify the level of harmonic pollution injected by nonlinear loads.

Influence of the supply of reactive power in the calculation of the transfer capability

This paper presents some initial concepts for including reactive power in linear methods for computing Available Transfer Capability (ATC). It is proposed an approximation for the reactive power flows computation that uses the exact circle equations for the transmission line complex flow, and then it is determined the ATC using active power distribution factors. The transfer capability can be increased using the sensitivities of flow that show the best group of buses which can have their reactive power injection modified in order to remove the overload in the transmission lines. The results of the ATC computation and of the use of the sensitivities of flow are presented using the Cigré 32-bus system. © 2004 IEEE.