Uso de técnicas de otimização baseadas em derivadas como suporte do planejamento operacional de redes de distribuição de energia elétrica

The usual programs for load flow calculation were in general developped aiming the simulation of electric energy transmission, subtransmission and distribution systems. However, the mathematical methods and algorithms used by the formulations were based, in majority, just on the characteristics of the transmittion systems, which were the main concern focus of engineers and researchers. Though, the physical characteristics of these systems are quite different from the distribution ones. In the transmission systems, the voltage levels are high and the lines are generally very long. These aspects contribute the capacitive and inductive effects that appear in the system to have a considerable influence in the values of the interest quantities, reason why they should be taken into consideration. Still in the transmission systems, the loads have a macro nature, as for example, cities, neiborhoods, or big industries. These loads are, generally, practically balanced, what reduces the necessity of utilization of three-phase methodology for the load flow calculation. Distribution systems, on the other hand, present different characteristics: the voltage levels are small in comparison to the transmission ones. This almost annul the capacitive effects of the lines. The loads are, in this case, transformers, in whose secondaries are connected small consumers, in a sort of times, mono-phase ones, so that the probability of finding an unbalanced circuit is high. This way, the utilization of three-phase methodologies assumes an important dimension. Besides, equipments like voltage regulators, that use simultaneously the concepts of phase and line voltage in their functioning, need a three-phase methodology, in order to allow the simulation of their real behavior. For the exposed reasons, initially was developped, in the scope of this work, a method for three-phase load flow calculation in order to simulate the steady-state behaviour of distribution systems. Aiming to achieve this goal, the Power Summation Algorithm was used, as a base for developing the three phase method. This algorithm was already widely tested and approved by researchers and engineers in the simulation of radial electric energy distribution systems, mainly for single-phase representation. By our formulation, lines are modeled in three-phase circuits, considering the magnetic coupling between the phases; but the earth effect is considered through the Carson reduction. It s important to point out that, in spite of the loads being normally connected to the transformer s secondaries, was considered the hypothesis of existence of star or delta loads connected to the primary circuit. To perform the simulation of voltage regulators, a new model was utilized, allowing the simulation of various types of configurations, according to their real functioning. Finally, was considered the possibility of representation of switches with current measuring in various points of the feeder. The loads are adjusted during the iteractive process, in order to match the current in each switch, converging to the measured value specified by the input data. In a second stage of the work, sensibility parameters were derived taking as base the described load flow, with the objective of suporting further optimization processes. This parameters are found by calculating of the partial derivatives of a variable in respect to another, in general, voltages, losses and reactive powers. After describing the calculation of the sensibility parameters, the Gradient Method was presented, using these parameters to optimize an objective function, that will be defined for each type of study. The first one refers to the reduction of technical losses in a medium voltage feeder, through the installation of capacitor banks; the second one refers to the problem of correction of voltage profile, through the instalation of capacitor banks or voltage regulators. In case of the losses reduction will be considered, as objective function, the sum of the losses in all the parts of the system. To the correction of the voltage profile, the objective function will be the sum of the square voltage deviations in each node, in respect to the rated voltage. In the end of the work, results of application of the described methods in some feeders are presented, aiming to give insight about their performance and acuity

Um algoritmo para estimação de estado em alimentadores de distribuição de energia elétrica com base no método da soma de potências

Most algorithms for state estimation based on the classical model are just adequate for use in transmission networks. Few algorithms were developed specifically for distribution systems, probably because of the little amount of data available in real time. Most overhead feeders possess just current and voltage measurements at the middle voltage bus-bar at the substation. In this way, classical algorithms are of difficult implementation, even considering off-line acquired data as pseudo-measurements. However, the necessity of automating the operation of distribution networks, mainly in regard to the selectivity of protection systems, as well to implement possibilities of load transfer maneuvers, is changing the network planning policy. In this way, some equipments incorporating telemetry and command modules have been installed in order to improve operational features, and so increasing the amount of measurement data available in real-time in the System Operation Center (SOC). This encourages the development of a state estimator model, involving real-time information and pseudo-measurements of loads, that are built from typical power factors and utilization factors (demand factors) of distribution transformers. This work reports about the development of a new state estimation method, specific for radial distribution systems. The main algorithm of the method is based on the power summation load flow. The estimation is carried out piecewise, section by section of the feeder, going from the substation to the terminal nodes. For each section, a measurement model is built, resulting in a nonlinear overdetermined equations set, whose solution is achieved by the Gaussian normal equation. The estimated variables of a section are used as pseudo-measurements for the next section. In general, a measurement set for a generic section consists of pseudo-measurements of power flows and nodal voltages obtained from the previous section or measurements in real-time, if they exist -, besides pseudomeasurements of injected powers for the power summations, whose functions are the load flow equations, assuming that the network can be represented by its single-phase equivalent. The great advantage of the algorithm is its simplicity and low computational effort. Moreover, the algorithm is very efficient, in regard to the accuracy of the estimated values. Besides the power summation state estimator, this work shows how other algorithms could be adapted to provide state estimation of middle voltage substations and networks, namely Schweppes method and an algorithm based on current proportionality, that is usually adopted for network planning tasks. Both estimators were implemented not only as alternatives for the proposed method, but also looking for getting results that give support for its validation. Once in most cases no power measurement is performed at beginning of the feeder and this is required for implementing the power summation estimations method, a new algorithm for estimating the network variables at the middle voltage bus-bar was also developed

Uso de técnicas de otimização baseadas em derivadas como suporte do planejamento operacional de redes de distribuição de energia elétrica

The usual programs for load flow calculation were in general developped aiming the simulation of electric energy transmission, subtransmission and distribution systems. However, the mathematical methods and algorithms used by the formulations were based, in majority, just on the characteristics of the transmittion systems, which were the main concern focus of engineers and researchers. Though, the physical characteristics of these systems are quite different from the distribution ones. In the transmission systems, the voltage levels are high and the lines are generally very long. These aspects contribute the capacitive and inductive effects that appear in the system to have a considerable influence in the values of the interest quantities, reason why they should be taken into consideration. Still in the transmission systems, the loads have a macro nature, as for example, cities, neiborhoods, or big industries. These loads are, generally, practically balanced, what reduces the necessity of utilization of three-phase methodology for the load flow calculation. Distribution systems, on the other hand, present different characteristics: the voltage levels are small in comparison to the transmission ones. This almost annul the capacitive effects of the lines. The loads are, in this case, transformers, in whose secondaries are connected small consumers, in a sort of times, mono-phase ones, so that the probability of finding an unbalanced circuit is high. This way, the utilization of three-phase methodologies assumes an important dimension. Besides, equipments like voltage regulators, that use simultaneously the concepts of phase and line voltage in their functioning, need a three-phase methodology, in order to allow the simulation of their real behavior. For the exposed reasons, initially was developped, in the scope of this work, a method for three-phase load flow calculation in order to simulate the steady-state behaviour of distribution systems. Aiming to achieve this goal, the Power Summation Algorithm was used, as a base for developping the three phase method. This algorithm was already widely tested and approved by researchers and engineers in the simulation of radial electric energy distribution systems, mainly for single-phase representation. By our formulation, lines are modeled in three-phase circuits, considering the magnetic coupling between the phases; but the earth effect is considered through the Carson reduction. Its important to point out that, in spite of the loads being normally connected to the transformers secondaries, was considered the hypothesis of existence of star or delta loads connected to the primary circuit. To perform the simulation of voltage regulators, a new model was utilized, allowing the simulation of various types of configurations, according to their real functioning. Finally, was considered the possibility of representation of switches with current measuring in various points of the feeder. The loads are adjusted during the iteractive process, in order to match the current in each switch, converging to the measured value specified by the input data. In a second stage of the work, sensibility parameters were derived taking as base the described load flow, with the objective of suporting further optimization processes. This parameters are found by calculating of the partial derivatives of a variable in respect to another, in general, voltages, losses and reactive powers. After describing the calculation of the sensibility parameters, the Gradient Method was presented, using these parameters to optimize an objective function, that will be defined for each type of study. The first one refers to the reduction of technical losses in a medium voltage feeder, through the installation of capacitor banks; the second one refers to the problem of correction of voltage profile, through the instalation of capacitor banks or voltage regulators. In case of the losses reduction will be considered, as objective function, the sum of the losses in all the parts of the system. To the correction of the voltage profile, the objective function will be the sum of the square voltage deviations in each node, in respect to the rated voltage. In the end of the work, results of application of the described methods in some feeders are presented, aiming to give insight about their performance and acuity

Determinação de Chaveamento para Recomposição do Serviço em Redes de Distribuição de Energia Elétrica em Média Tensão Através de Métodos Baseado em Parâmetros de Sensibilidade

The reconfiguration of a distribution network is a change in its topology, aiming to provide specific operation conditions of the network, by changing the status of its switches. It can be performed regardless of any system anomaly. The service restoration is a particular case of reconfiguration and should be performed whenever there is a network failure or whenever one or more sections of a feeder have been taken out of service for maintenance. In such cases, loads that are supplied through lines sections that are downstream of portions removed for maintenance may be supplied by the closing of switches to the others feeders. By classical methods of reconfiguration, several switches may be required beyond those used to perform the restoration service. This includes switching feeders in the same substation or for substations that do not have any direct connection to the faulted feeder. These operations can cause discomfort, losses and dissatisfaction among consumers, as well as a negative reputation for the energy company. The purpose of this thesis is to develop a heuristic for reconfiguration of a distribution network, upon the occurrence of a failure in this network, making the switching only for feeders directly involved in this specific failed segment, considering that the switching applied is related exclusively to the isolation of failed sections and bars, as well as to supply electricity to the islands generated by the condition, with significant reduction in the number of applications of load flows, due to the use of sensitivity parameters for determining voltages and currents estimated on bars and lines of the feeders directly involved with that failed segment. A comparison between this process and classical methods is performed for different test networks from the literature about networks reconfiguration

Um estimador de estado trifásico para sistemas de distribuição de energia elétrica com base no método da soma de potências

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Análise espacial da distribuição longitudinal de sementes de milho em uma semeadora-adubadora de precisão

In the operation of sowing with planter numerous factors interfere with the establishment of the plant stand, among them, the longitudinal distribution of seeds depending on the displacement speed can significantly affect crop productivity.The present study aimed the evaluation of longitudinal distribution of maize seeds in two different speeds of dislocation of a precision grain drill, through classical and geostatistics. A regular grid sample, totalizing 100 points in each area, was built with 10-meter distance among the points. Each sample point comprised 3.6m(2) (1.8 x 2.0) where the percentage of acceptable, double and fail spacing among the plants was measured after sowing at 4.58 and 5.94 km h(-1) speed of dislocation. Classical and geostatistics were used for data analyses. The percentage of acceptable and failed spacing has shown significant difference between 4.58 and 5.94 km h(-1) speed. The results has shown absence of spatial dependence regarding the percentage of the studied spacing (acceptable, fail and double) at both speeds, showing that studies and statistical inferences can occur based on parameters of classical statistics for distances higher than the shortest one used in the sampling.

Distribuição radicular de cultivares de aspargo em áreas irrigadas de Petrolina - PE

A distribuição radicular de duas cultivares de aspargo (New Jersey 220 e UC 157 F1), irrigadas por aspersão convencional, foi avaliada durante o ano de 1997 em solos de textura arenosa, em plantio experimental e comercial, respectivamente, nos Projetos de Irrigação de Bebedouro e Senador Nilo Coelho, em Petrolina (PE). O objetivo foi obter informações do sistema radicular do aspargo, empregando-se os métodos do monolito e do perfil de solo auxiliado pela análise de imagens digitais, para o manejo de solo e água nesse cultivo. Na área experimental, a maior parte da matéria seca, área e comprimento de raízes no perfil de solo e densidade de comprimento radicular foram encontradas até a profundidade de 0,4 m nas duas cultivares, enquanto que na comercial a maior parte da área e comprimento de raízes no perfil do solo estendeu-se até a profundidade de 0,6 m (cv. New Jersey 220). Nesses dois plantios, as raízes das cultivares atingiram a profundidade de 1 m. Na área experimental, a massa seca, a área e o comprimento no perfil de solo, e a densidade de comprimento radicular nas cultivares concentraram-se até a distância de 0,6 m à linha de plantas. No intervalo de diâmetro (d) de raízes 2distribuição e do diâmetro radicular apresentaram similaridades considerando os métodos empregados.

Um sistema para simular o comportamento de bancos trifásicos de reguladores de tensão usados em sistemas de distribuição de energia elétrica

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Distribuição da carga hidráulica em linhas de derivação otimizadas por programação linear

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Gráficos de probabilidade normal para avaliação de mecanismos de distribuição de sementes em semeadoras

Currently great emphasis is given for seed metering that assist rigorous demands in relation to longitudinal distribution of seeds, as well as to the index of fails in spacing laws, breaks and double seeds. The evaluation of these variable demands much time and work of attainment of data and processing. The objective of this work went propose to use of graphs of normal probability, facilitating the treatment of the data and decreasing the time of processing. The evaluation methodology consists in the counting of broken seeds, fail spacing and double seeds through the measure of the spacing among seeds, preliminary experiments through combinations of treatments had been carried through whose factors of variation were the level of the reservoir of seeds, the leveling of the seed metering, the speed of displacement and dosage of seeds. The evaluation was carried through in two parts, first through preliminary experiments for elaboration of the graphs of normal probability and later in experiments with bigger sampling for evaluation of the influence of the factors most important. It was done the evaluation of seed metering of rotating internal ring, and the amount of necessary data for the evaluation was very decreased through of the graphs of normal probability that facilitated to prioritize only the significant factors. The dosage of seeds was factor that more important because factor (D) have greater significance.

Influência do etil-trinexapac no acúmulo, na distribuição de nitrogênio (15N) e na massa de grãos de arroz de terras altas

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

Distribuição do sistema radicular do maracujazeiro-doce cultivado com adubação química e orgânica

O experimento teve como objetivo avaliar a distribuição das raízes do maracujazeiro-doce (Passiflora alata Dryand), cultivado em Nitossolo Vermelho, sob adubação química e orgânica, em Botucatu-SP. Foram utilizadas plantas com 19 meses de idade, em produção, conduzidas em latada e com irrigação. Os tratamentos com fertilizantes químicos e esterco de curral curtido foram os seguintes: T1 (400 g de sulfato de amônia), T2 (2,5kg de esterco), T3 (5,0kg de esterco), T4 (7,5kg de esterco) e T5 (10,0kg de esterco), acrescidos de 200g de termofosfato, 137g de cloreto de potássio e 2,0kg de calcário por planta, em todos os tratamentos, parcelados em duas aplicações. Foram empregadas 3 plantas por tratamento, sendo retiradas quatro amostras de cada uma, a 0-20 e 20-40cm de profundidade e distância do tronco. Os resultados evidenciaram que não houve diferenças significativas entre os tratamentos para massa seca das raízes. em todos os tratamentos, houve concentração das raízes a 0-20cm de distância do tronco. Nas parcelas com adubo orgânico, houve melhor distribuição das raízes em profundidade.

Perfis de distribuição volumétrica de pontas XR 11003 e TXVK-4 em diferentes condições de pulverização

Com o objetivo de avaliar a uniformidade da distribuição volumétrica e o efeito da angulação dos bicos na barra em pulverizações, foi conduzido experimento em laboratório, com dez unidades de cada uma das pontas de jato plano XR 11003 e de jato cônico vazio TXVK-4, fabricadas pela Spraying Systems Co. As pontas XR 11003 foram avaliadas, isoladamente, em mesa de prova para bicos construída conforme a Norma ISO 5682-1:1996, a 0,30; 0,40 e 0,50 m de altura, submetidas à pressão de 200 e 300 kPa e posicionadas com ângulos de 30º e 45º no sentido horário e anti-horário e na vertical; as pontas TXVK-4 foram avaliadas nas mesmas alturas, porém a 300 e 400 kPa, e somente na vertical. A distribuição média do volume coletado em cada configuração, das dez unidades de cada ponta, foi inserida num programa computacional, desenvolvido para o estudo, que permitiu a simulação do padrão de deposição de uma barra pulverizadora, com 24 bicos, com sobreposições variáveis, obtendo-se, ao final, o coeficiente de variação da sobreposição, o desvio- padrão e a média do volume aplicado. Os resultados sugerem a necessidade de ajustes no espaçamento entre bicos para a obtenção de melhor uniformidade na distribuição, principalmente quando se utiliza ângulo na barra; há menor influência da variação da altura da barra sobre a uniformidade da distribuição quando o espaçamento entre bicos é reduzido.

Distribuição volumétrica de calda produzidas pelas pontas pulverização XR, TP e TJ sob diferentes condições operacionais

Foram avaliados os perfis de distribuição volumétrica das pontas de pulverização de jato plano Extended Range XR 8004, Teejet TP 8004 e TwinJet TJ60-8004, em mesa de teste construída segundo a norma ISO 5.682-1:1996, sendo as pontas de pulverização posicionadas a 30, 40 e 50 cm de altura da mesa coletora, submetidas à pressão de 200 e 300 kPa, e posicionadas com ângulos de 30 e 45º nos sentidos horário e anti-horário e na posição vertical (0º). As pontas TJ60-8004 foram analisadas nas mesmas alturas, porém somente na posição vertical. Avaliaram-se 10 unidades de cada tipo de ponta, instaladas isoladamente na mesa. A distribuição média do volume pulverizado, coletado nas provetas, foi inserida em programa computacional, que permitiu a simulação do perfil de distribuição de uma barra pulverizadora com 24 bicos, em espaçamentos variáveis, obtendo-se ao final o coeficiente de variação, o desvio-padrão e a média do volume. Os resultados mostraram que a uniformidade de distribuição é menos influenciada pela variação da altura da barra quando o espaçamento entre bicos é reduzido e que há necessidade de adequação do espaçamento quando se utiliza ângulo na barra pulverizadora.

Influência da distribuição espacial do milho e da Brachiaria brizantha consorciados sobre a população de plantas daninhas em sistema plantio direto na palha

O cultivo consorciado de milho com forrageiras tropicais no sistema plantio direto na palha pode diminuir a incidência de plantas daninhas em decorrência da elevada produção de fitomassa e da alelopatia proporcionada pela deposição superficial de palha no solo. Este trabalho objetivou avaliar a influência da distribuição espacial da cultura do milho com Brachiaria brizantha, cultivados em consórcio no sistema plantio direto na palha, sobre a população de plantas daninhas. O experimento foi instalado em condições de campo, nos anos agrícolas 2002/03 e 2003/04, na Fazenda Experimental Lageado, em Botucatu-SP. O delineamento experimental foi o de blocos casualizados em esquema fatorial simples 2 x 4, com quatro repetições. Os tratamentos foram dois espaçamentos entre linhas de milho (E1-45 cm e E2- 90 cm) e quatro modalidades de cultivo (MCS - cultivo do milho solteiro; MBL - cultivo do milho com B. brizantha na linha de semeadura; BEM - cultivo do milho com B. brizantha na entrelinha; e MBLE - cultivo do milho com B. brizantha simultaneamente na linha e na entrelinha). Foram avaliados a produtividade de matéria seca da forrageira, a caracterização fitossociológica, a incidência e o controle de plantas daninhas. O cultivo MBLE a 90 cm foi a modalidade de consorciação que proporcionou maior produção de palhada. A presença de B. brizantha em cultivo consorciado diminuiu a densidade de plantas daninhas. A utilização do cultivo consorciado do milho com B. brizantha na linha+entrelinha proporcionou índice de controle de 95%, independentemente do espaçamento utilizado.