Optimization of Large-Scale Hydrothermal System Operation

This paper presents the development of a mathematical model to optimize the management and operation of the Brazilian hydrothermal system. The system consists of a large set of individual hydropower plants and a set of aggregated thermal plants. The energy generated in the system is interconnected by a transmission network so it can be transmitted to centers of consumption throughout the country. The optimization model offered is capable of handling different types of constraints, such as interbasin water transfers, water supply for various purposes, and environmental requirements. Its overall objective is to produce energy to meet the country's demand at a minimum cost. Called HIDROTERM, the model integrates a database with basic hydrological and technical information to run the optimization model, and provides an interface to manage the input and output data. The optimization model uses the General Algebraic Modeling System (GAMS) package and can invoke different linear as well as nonlinear programming solvers. The optimization model was applied to the Brazilian hydrothermal system, one of the largest in the world. The system is divided into four subsystems with 127 active hydropower plants. Preliminary results under different scenarios of inflow, demand, and installed capacity demonstrate the efficiency and utility of the model. From this and other case studies in Brazil, the results indicate that the methodology developed is suitable to different applications, such as planning operation, capacity expansion, and operational rule studies, and trade-off analysis among multiple water users. DOI: 10.1061/(ASCE)WR.1943-5452.0000149. (C) 2012 American Society of Civil Engineers.

Economic optimization method to design telescope irrigation of multiples outlets

In this study is presented an economic optimization method to design telescope irrigation laterals (multidiameter) with regular spaced outlets. The proposed analytical hydraulic solution was validated by means of a pipeline composed of three different diameters. The minimum acquisition cost of the telescope pipeline was determined by an ideal arrangement of lengths and respective diameters for each one of the three segments. The mathematical optimization method based on the Lagrange multipliers provides a strategy for finding the maximum or minimum of a function subject to certain constraints. In this case, the objective function describes the acquisition cost of pipes, and the constraints are determined from hydraulic parameters as length of irrigation laterals and total head loss permitted. The developed analytical solution provides the ideal combination of each pipe segment length and respective diameter, resulting in a decreased of the acquisition cost.

Desenvolvimento de modelo matemático de otimização logística para o transporte multimodal de safras agrícolas pelo corredor centro-oeste

Este artigo apresenta um modelo matemático de otimização logística para o transporte multimodal de safras agrícolas pelo corredor Centro-Oeste. Tal ferramenta foi desenvolvida no contexto de três amplos projetos de pesquisa financiados pela FINEP e executados por um grupo de universidades. O modelo, conhecido genericamente como Modelo de fluxo de Custo Mínimo Multiproduto, considera a otimização de fluxos em rede, para os produtos açúcar, álcool, milho, soja, óleo de soja, farelo de soja e trigo. O modelo proposto para estimativa dos fluxos inter-regionais mostrou-se uma ferramenta factível para fins de avaliação do potencial de utilização da multimodalidade. A análise destes resultados gera importantes subsídios para a seleção dos locais com potencial para instalação de mecanismos e equipamentos de transferência de cargas, além de auxiliar no dimensionamento dessas infraestruturas. Também é um resultado importante do ferramental desenvolvido a identificação das zonas de cargas que apresentam potencial captável pelas ferrovias, hidrovias e dutovias, ou seja, possibilita a identificação das regiões que revelam potencial para uso da multimodalidade.