Systems of Navier-Stokes equations on cantor sets

We present systems of Navier-Stokes equations on Cantor sets, which are described by the local fractional vector calculus. It is shown that the results for Navier-Stokes equations in a fractal bounded domain are efficient and accurate for describing fluid flow in fractal media.

Combined mutation differential evolution to solve systems of nonlinear equations

This paper presents a differential evolution heuristic to compute a solution of a system of nonlinear equations through the global optimization of an appropriate merit function. Three different mutation strategies are combined to generate mutant points. Preliminary numerical results show the effectiveness of the presented heuristic.

Combining global tabu search with local search for solving systems of equalities and inequalities

This papers aims at providing a combined strategy for solving systems of equalities and inequalities. The combined strategy uses two types of steps: a global search step and a local search step. The global step relies on a tabu search heuristic and the local step uses a deterministic search known as Hooke and Jeeves. The choice of step, at each iteration, is based on the level of reduction of the l2-norm of the error function observed in the equivalent system of equations, compared with the previous iteration.

Multiple Roots of Systems of Equations by Repulsion Merit Functions

In this paper we address the problem of computing multiple roots of a system of nonlinear equations through the global optimization of an appropriate merit function. The search procedure for a global minimizer of the merit function is carried out by a metaheuristic, known as harmony search, which does not require any derivative information. The multiple roots of the system are sequentially determined along several iterations of a single run, where the merit function is accordingly modified by penalty terms that aim to create repulsion areas around previously computed minimizers. A repulsion algorithm based on a multiplicative kind penalty function is proposed. Preliminary numerical experiments with a benchmark set of problems show the effectiveness of the proposed method.

Observability of nonlinear fractional dynamical systems

We study the observability of linear and nonlinear fractional differential systems of order 0 < α < 1 by using the Mittag-Leffler matrix function and the application of Banach’s contraction mapping theorem. Several examples illustrate the concepts.

Self-adaptive combination of global tabu search and local search for nonlinear equations

Solving systems of nonlinear equations is a very important task since the problems emerge mostly through the mathematical modelling of real problems that arise naturally in many branches of engineering and in the physical sciences. The problem can be naturally reformulated as a global optimization problem. In this paper, we show that a self-adaptive combination of a metaheuristic with a classical local search method is able to converge to some difficult problems that are not solved by Newton-type methods.

Distributed Intelligent Management of Microgrids using a Multi-Agent Simulation Platform

Multi-agent approaches have been widely used to model complex systems of distributed nature with a large amount of interactions between the involved entities. Power systems are a reference case, mainly due to the increasing use of distributed energy sources, largely based on renewable sources, which have potentiated huge changes in the power systems’ sector. Dealing with such a large scale integration of intermittent generation sources led to the emergence of several new players, as well as the development of new paradigms, such as the microgrid concept, and the evolution of demand response programs, which potentiate the active participation of consumers. This paper presents a multi-agent based simulation platform which models a microgrid environment, considering several different types of simulated players. These players interact with real physical installations, creating a realistic simulation environment with results that can be observed directly in the reality. A case study is presented considering players’ responses to a demand response event, resulting in an intelligent increase of consumption in order to face the wind generation surplus.

Projecto de estruturas de uma passagem superior em madeira

Este projecto visa um estudo de uma solução para uma ponte pedonal de Madeira Lamelada Colada (MLC) entre o Hospital Pedro Hispano e o Norte-Shopping, localizada na Senhor da Hora. Inicialmente foram analisadas diversas variantes, com vários tipos de sistemas, sendo adoptada uma ponte formada por dois arcos, que se aproximam à medida que se afastam dos encontros unidos por contraventamentos em cruz. O tabuleiro encontra-se suspenso por tirantes e apoiados dos dois lados nos encontros. Foi realizado uma pequena introdução histórica da utilização da madeira enquanto material de construção, a sua fabricação e os vários tipos de pontes pedonais em MLC. O uso da madeira em estruturas fez com que a abordagem do Eurocódigo 5 (EC5) tivesse uma maior importância. A estrutura é modelada no programa de cálculo “DLUBAL ” através de um modelo de barras tridimensional de modo a efectuar uma análise estática e dinâmica global, recorrendo-se para tal a normas e princípios gerais de verificação de segurança dos regulamentos Europeus, nomeadamente os Eurocódigos das várias especialidades. Apresentam-se em anexo vários desenhos da ponte, desenhos das peças de ligação, o mapa de trabalhos e quantidades, ideias preliminares, dimensionamento e a escolha dos ligadores e por fim os diagramas de esforços dos elementos aos Estados-limite Último.