Implementation of an AC model for transmission expansion planning considering reliability constraints

In this paper, a hybrid heuristic methodology that employs fuzzy logic for solving the AC transmission network expansion planning (AC-TEP) problem is presented. An enhanced constructive heuristic algorithm aimed at obtaining a significant quality solution for such complicated problems considering contingency is proposed. In order to indicate the severity of the contingency, 2 performance indices, namely the line flow performance index and voltage performance index, are calculated. An interior point method is applied as a nonlinear programming solver to handle such nonconvex optimization problems, while the objective function includes the costs of the new transmission lines as well as the real power losses. The performance of the proposed method is examined by applying it to the well-known Garver system for different cases. The simulation studies and result analysis demonstrate that the proposed method provides a promising way to find an optimal plan. Obtaining the best quality solution shows the capability and the viability of the proposed algorithm in AC-TEP. © Tübi̇tak..

Risk/investment-driven transmission expansion planning with multiple scenarios

This study presents a new methodology based on risk/investment to solve transmission network expansion planning (TNEP) problem with multiple future scenarios. Three mathematical models related to TNEP problems considering multiple future generation and load scenarios are also presented. These models will provide planners with a meaningful risk assessment that enable them to determine the necessary funding for transmission lines at a permissible risk level. The results using test and real systems show that the proposed method presents better solutions compared with scenario analysis method. ©The Institution of Engineering and Technology 2013.

Um modelo para condutores múltiplos considerando a distribuição da corrente nos subcondutores

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Estudo de vibrações eólicas em linhas de transmissão de energia elétrica de alta tensão

O crescente aumento da demanda de energia elétrica tem forçado o avanço tecnológico dos equipamentos responsáveis pelo transporte desta energia fazendo com que estes trabalhem sob tensões cada vez maiores, principalmente por razões econômicas. Mas este fato implica diretamente no incremento do diâmetro do condutor, o que acarreta elevação de seus custos, bem como das estruturas que devem suportá-lo. Para atender a esta necessidade sem aumentar o custo de projeto da linha de transmissão, surgiu a idéia de utilizar mais de um condutor por fase, montados paralelamente entre si a pequenas distâncias, o que é conseguido através da inserção de espaçadores montados a intervalos regulares ao longo dos vãos das linhas. Por outro lado, problemas mecânicos de ordem operacional das linhas podem ocorrer, como, por exemplo, a ruptura total ou parcial dos cabos e/ou espaçadores, proveniente de excitações dinâmicas devidas ao vento. Assim, este trabalho consiste no estudo do comportamento dinâmico de feixe de cabos de linhas aéreas de transmissão, através de um modelo de elementos finitos. O modelo reproduz o acoplamento dos cabos aos espaçadoresamortecedores da linha de transmissão e às estruturas de ancoragem, considerando o efeito de não-linearidade geométrica, decorrente dos grandes deslocamentos dos cabos, bem como a continuidade da linha, ou seja, os vãos adjacentes, que são representados por rigidez equivalente no modelo. O carregamento de vento é modelado através de um processo não deterministico a partir de suas propriedades estatísticas, tal que fica subdividido em duas partes: uma parte média, analisada de forma estática; e uma parte variável, analisada de forma dinâmica. Os resultados obtidos ao longo desse estudo mostram que a parcela variável do carregamento leva a uma resposta dinâmica do modelo que pode ser determinante no seu comportamento. Assim, o procedimento tradicional de assumir o carregamento do vento como uma excitação estática pode levar, em alguns casos a conseqüências desastrosas.

Processo de attachment, densidade de raios e a ocorrência de flashover em linhas de transmissão de eletricidade

Esta tese refere-se ao uso de modelos de attachment de lideres (Leader Progression Model – LPM) para estimativa da distancia de salto, que, junto com dados de densidade de raios como coletado pelo sistema de detecção de raios do SIPAM, são usados para estimar a taxa de flashover em linhas de transmissão de eletricidade na Amazônia. O modelo de progressão de líder desenvolvido nesta tese é denominado ModSalto, que, para estimar a distancia de salto: 1- integra a densidade linear de cargas elétricas devida ao líder, proporcional a prospectiva corrente de primeira descarga (1º stroke) Ip, para determinar o campo elétrico produzido pelo líder descendente na estrutura sob estudo (para-raios, arestas, condutores, etc.); 2 – integra a distribuição imagem do líder descendente, fazendo uso da característica de poder das pontas como fator de estimulo e intensificação do campo elétrico devido a streamers nas partes aguçadas das estruturas sob estudo, para temporizar o momento do processo de attachment. O gatilho para o líder descendente, por hipótese, se deve a ejeção aleatória de pacotes de cargas elétricas em domínios turbulentos no interior das nuvens que recebem energia por processos de cascata da turbulência geral, e o comportamento do líder descendente, deve obedecer à equação da força de Lorentz, no espaço de campos cruzados elétrico devido às nuvens a cima e o campo magnético da Terra, que obriga as cargas do líder a desenvolverem movimentos cicloidais que podem explicar a natureza tortuosa do trajeto do líder descendente. Com o objetivo de formalizar dados consistentes de densidade de raios é feita uma reanalise do conjunto de dados coletado pelo LLS SIPAM de outubro de 2006 a julho de 2008 na região amazônica, com cerca de 3 milhões de eventos, comparando-os com dados de torres instrumentadas para evidenciar-se sua qualidade e usabilidade. Dados de elevação de terreno do SRTM da NASA são usados para gerar formula do raio de atração (Ra) das estruturas passiveis de serem atingidas por raios e para gerar formulas de área de atração, usadas para quantificar o numero de raios que provavelmente atingirão determinada estrutura, baseado no valor de densidade de raios (raios/km2/ano) na área em estudo.

Multistage Transmission Expansion Planning Considering Fixed Series Compensation Allocation

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

Estudo da aplicabilidade do sistema pultrudado de fenólica/fibras de carbono em cabos condutores

Pós-graduação em Engenharia Mecânica - FEG

Suitability of carbon fiber-reinforced polymers as power cable cores: Galvanic corrosion and thermal stability evaluation

The increasing demand for electrical energy and the difficulties involved in installing new transmission lines presents a global challenge. Transmission line cables need to conduct more current, which creates the problem of excessive cable sag and limits the distance between towers. Therefore, it is necessary to develop new cables that have low thermal expansion coefficients, low densities, and high resistance to mechanical stress and corrosion. Continuous fiber-reinforced polymers are now widely used in many industries, including electrical utilities, and provide properties that are superior to those of traditional ACSR (aluminum conductor steel reinforced) cables. Although composite core cables show good performance in terms of corrosion, the contact of carbon fibers with aluminum promotes galvanic corrosion, which compromises mechanical performance. In this work, three different fiber coatings were tested (phenol formaldehyde resin, epoxy-based resin, and epoxy resin with polyester braiding), with measurements of the galvanic current. The use of epoxy resin combined with polyester braiding provided the best inhibition of galvanic corrosion. Investigation of thermal stability revealed that use of phenol formaldehyde resin resulted in a higher glass transition temperature. On the other hand, a post-cure process applied to epoxy-based resin enabled it to achieve glass transition temperatures of up to 200 degrees C. (C) 2014 Elsevier Ltd. All rights reserved.

Cinética de degradação do sistema resina epóxi/fibra de carbono

With the increasing demand for electricity, the retraining of transmission lines is necessary despite environmental restrictions and crossings in densely populated areas to build new transmission and distribution lines. Solution is reuse the existent cables, replacing the old conductor cables for new cables with higher capacity power transmission, and control of sag installed. The increasing demand for electrical power has increased the electric current on the wires and therefore, it must bear out temperatures of 150°C or more, without the risk of the increasing sag beyond the established limits. In the case of long crossings or densely populated areas, sag is due to high weight of the cable on clearance. The cable type determines the weight, sag, height and the towers dimensions, which are the items that most influence the investment of the transmission line. Hence, to reduce both cost of investment and maintenance of the line, the use of a lighter cable can reduce both number and the height of the towers, with financial return on short and long term. Therefore, in order to increase the amount of transmitted energy and reduce the number of built towers and sag, is recommended in the current work substitute the current core material (steel or aluminium) for alternatives alloys or new materials, in this case a composite, which has low density, elevated stiffness (elasticity module), thus apply the pultruded carbon fiber with epoxy resin as matrix systems and perform the study of the kinetics of degradation by thermogravimetric analysis (TGA), dynamic mechanical analysis (DMA) and differential scanning calorimetry (DSC), according to their respective standards

Developing an optimization tool for evaluating the transmission system expansion

The transmission system is responsible for connecting the power generators to consumers safely and reliably, its constant expansion is necessary to transport increasing amounts of electricity. In order to help the power systems engineers, an optimization tool for optimize the expansion of the transmission system was developed using the modeling method of the linearized load flow and genetic. This tool was designed to simulate the impact of different scenarios on the cost of transmission expansion. The proposed tool was used to simulate the effects of the presence of distributed generation in the expansion of a fictitious transmission system, where it was found a clear downward trend in investment required for the expansion of the transmission system taking account of increasing levels of distributed generation.

Transmission network expansion planning considering repowering and reconfiguration

Transmission expansion planning (TEP) is a classic problem in electric power systems. In current optimization models used to approach the TEP problem, new transmission lines and two-winding transformers are commonly used as the only candidate solutions. However, in practice, planners have resorted to non-conventional solutions such as network reconfiguration and/or repowering of existing network assets (lines or transformers). These types of non-conventional solutions are currently not included in the classic mathematical models of the TEP problem. This paper presents the modeling of necessary equations, using linear expressions, in order to include non-conventional candidate solutions in the disjunctive linear model of the TEP problem. The resulting model is a mixed integer linear programming problem, which guarantees convergence to the optimal solution by means of available classical optimization tools. The proposed model is implemented in the AMPL modeling language and is solved using CPLEX optimizer. The Garver test system, IEEE 24-busbar system, and a Colombian system are used to demonstrate that the utilization of non-conventional candidate solutions can reduce investment costs of the TEP problem. (C) 2015 Elsevier Ltd. All rights reserved.

Tap-Off Power From the Overhead Shield Wires of an HV Transmission Line

In recent years, there was an increase of ancillary service loads, such as signaling systems, inspection robots, surveillance cameras, and other monitoring devices distributed along high-voltage transmission lines which require low-power dc voltage supplies. This paper investigates the use of the induced voltage in the shield wires of an overhead 525 kV transmission line as a primary power source. Since phase current variations throughout the day affect the induced voltage in the overhead ground wire, a step-down dc-dc converter is used after rectification of the ac voltage to provide a regulated dc output voltage. The initial encouraging results obtained indicate that this form of power supply can be a feasible and cost-effective alternative for feeding small ancillary service loads. The simulation results are validated by field measurements as well as the installation of a 200 W voltage stabilization system prototype.

Numerical modelling of dispersion managed soliton transmission

This thesis presents the results of numerical modelling of the propagation of dispersion managed solitons. The theory of optical pulse propagation in single mode optical fibre is introduced specifically looking at the use of optical solitons for fibre communications. The numerical technique used to solve the nonlinear Schrödinger equation is also introduced. The recent developments in the use of dispersion managed solitons are reviewed before the numerical results are presented. The work in this thesis covers two main areas; (i) the use of a saturable absorber to control the propagation of dispersion managed solutions and (ii) the upgrade of the installed standard fibre network to higher data rates through the use of solitons and dispersion management. Saturable absorbe can be used to suppress the build up of noise and dispersive radiation in soliton transmission lines. The use of saturable absorbers in conjunction with dispersion management has been investigated both as a single pulse and for the transmission of a 10Gbit/s data pattern. It is found that this system supports a new regime of stable soliton pulses with significantly increased powers. The upgrade of the installed standard fibre network to higher data rates through the use of fibre amplifiers and dispersion management is of increasing interest. In this thesis the propagation of data at both 10Gbit/s and 40Gbit/s is studied. Propagation over transoceanic distances is shown to be possible for 10Gbit/s transmission and for more than 2000km at 40Gbit/s. The contribution of dispersion managed solitons in the future of optical communications is discussed in the thesis conclusions.

Fokker-Planck equation approach to the description of soliton statistics in optical fiber transmission systems

We derive rigorously the Fokker-Planck equation that governs the statistics of soliton parameters in optical transmission lines in the presence of additive amplifier spontaneous emission. We demonstrate that these statistics are generally non-Gaussian. We present exact marginal probability-density functions for soliton parameters for some cases. A WKB approach is applied to describe the tails of the probability-density functions. © 2005 Optical Society of America.

Nonlinearity management in fiber transmission systems with hybrid amplification

Nonlinearity management in transmission lines with periodic dispersion compensation and hybrid Raman-Erbium doped fiber amplification is studied both analytically and numerically. Different transmission/compensating fiber pairs are considered, with particular focus on the SMF/DCF case. © 2004 Elsevier B.V. All rights reserved.