Penalty fuzzy function for derivative-free optimization

Penalty and Barrier methods are normally used to solve Nonlinear Optimization Problems constrained problems. The problems appear in areas such as engineering and are often characterised by the fact that involved functions (objective and constraints) are non-smooth and/or their derivatives are not know. This means that optimization methods based on derivatives cannot net used. A Java based API was implemented, including only derivative-free optimizationmethods, to solve both constrained and unconstrained problems, which includes Penalty and Barriers methods. In this work a new penalty function, based on Fuzzy Logic, is presented. This function imposes a progressive penalization to solutions that violate the constraints. This means that the function imposes a low penalization when the violation of the constraints is low and a heavy penalisation when the violation is high. The value of the penalization is not known in beforehand, it is the outcome of a fuzzy inference engine. Numerical results comparing the proposed function with two of the classic penalty/barrier functions are presented. Regarding the presented results one can conclude that the prosed penalty function besides being very robust also exhibits a very good performance.

Indoor location using fingerprinting and fuzzy logic

Indoor location systems cannot rely on technologies such as GPS (Global Positioning System) to determine the position of a mobile terminal, because its signals are blocked by obstacles such as walls, ceilings, roofs, etc. In such environments. The use of alternative techniques, such as the use of wireless networks, should be considered. The location estimation is made by measuring and analysing one of the parameters of the wireless signal, usually the received power. One of the techniques used to estimate the locations using wireless networks is fingerprinting. This technique comprises two phases: in the first phase data is collected from the scenario and stored in a database; the second phase consists in determining the location of the mobile node by comparing the data collected from the wireless transceiver with the data previously stored in the database. In this paper an approach for localisation using fingerprinting based on Fuzzy Logic and pattern searching is presented. The performance of the proposed approach is compared with the performance of classic methods, and it presents an improvement between 10.24% and 49.43%, depending on the mobile node and the Fuzzy Logic parameters.ł

Experimenting through the web a linear variable differential transformer

Aiming for teaching/learning support in sciences and engineering areas, the Remote Experimentation concept (an E-learning subset) has grown in last years with the development of several infrastructures that enable doing practical experiments from anywhere and anytime, using a simple PC connected to the Internet. Nevertheless, given its valuable contribution to the teaching/learning process, the development of more infrastructures should continue, in order to make available more solutions able to improve courseware contents and motivate students for learning. The work presented in this paper contributes for that purpose, in the specific area of industrial automation. After a brief introduction to the Remote Experimentation concept, we describe a remote accessible lab infrastructure that enables users to conduct real experiments with an important and widely used transducer in industrial automation, named Linear Variable Differential Transformer.

Optimal fuzzy PID control tuned with genetic algorithms

Fuzzy logic controllers (FLC) are intelligent systems, based on heuristic knowledge, that have been largely applied in numerous areas of everyday life. They can be used to describe a linear or nonlinear system and are suitable when a real system is not known or too difficult to find their model. FLC provide a formal methodology for representing, manipulating and implementing a human heuristic knowledge on how to control a system. These controllers can be seen as artificial decision makers that operate in a closed-loop system, in real time. The main aim of this work was to develop a single optimal fuzzy controller, easily adaptable to a wide range of systems – simple to complex, linear to nonlinear – and able to control all these systems. Due to their efficiency in searching and finding optimal solution for high complexity problems, GAs were used to perform the FLC tuning by finding the best parameters to obtain the best responses. The work was performed using the MATLAB/SIMULINK software. This is a very useful tool that provides an easy way to test and analyse the FLC, the PID and the GAs in the same environment. Therefore, it was proposed a Fuzzy PID controller (FL-PID) type namely, the Fuzzy PD+I. For that, the controller was compared with the classical PID controller tuned with, the heuristic Ziegler-Nichols tuning method, the optimal Zhuang-Atherton tuning method and the GA method itself. The IAE, ISE, ITAE and ITSE criteria, used as the GA fitness functions, were applied to compare the controllers performance used in this work. Overall, and for most systems, the FL-PID results tuned with GAs were very satisfactory. Moreover, in some cases the results were substantially better than for the other PID controllers. The best system responses were obtained with the IAE and ITAE criteria used to tune the FL-PID and PID controllers.

Fuzzy modelling of prescribed burning effects on soil physical properties

This paper presents the preliminary work of an approach where Fuzzy Boolean Nets (FBN) are being used to extract qualitative knowledge regarding the effect of prescribed fire burning on soil chemical physical properties. FBN were chosen due to the scarcity on available quantitative data.

Prescribed burning impact on forest soil properties – a fuzzy boolean nets approach

The Portuguese northern forests are often and severely affected by wildfires during the Summer season. These occurrences significantly affect and negatively impact all ecosystems, namely soil, fauna and flora. In order to reduce the occurrences of natural wildfires, some measures to control the availability of fuel mass are regularly implemented. Those preventive actions concern mainly prescribed burnings and vegetation pruning. This work reports on the impact of a prescribed burning on several forest soil properties, namely pH, soil moisture, organic matter content and iron content, by monitoring the soil self-recovery capabilities during a one year span. The experiments were carried out in soil cover over a natural site of Andaluzitic schist, in Gramelas, Caminha, Portugal, which was kept intact from prescribed burnings during a period of four years. Soil samples were collected from five plots at three different layers (0–3, 3–6 and 6–18) 1 day before prescribed fire and at regular intervals after the prescribed fire. This paper presents an approach where Fuzzy Boolean Nets (FBN) and Fuzzy reasoning are used to extract qualitative knowledge regarding the effect of prescribed fire burning on soil properties. FBN were chosen due to the scarcity on available quantitative data. The results showed that soil properties were affected by prescribed burning practice and were unable to recover their initial values after one year.

A qualitative description of soil parameters variation due to a prescribed fire in Portuguese northwestern forests using Fuzzy Boolean Nets — The case study of Cabreira mountain

In this paper we study the modifications that occurred in some forest soil properties after a prescribed fire. The research focused on the alterations of soil pH, soil moisture and soil organic matter content during a two-year span, from 2008 to 2009. The study site is located in Anjos, Vieira do Minho municipality, a forest site that has suffered from recurrent wildfires for several decades. Furze (Ulex, sp.), broom (Cytisus, sp.), gorse (Chamaespartum tridentatum) and a very few disperse adult pine (Pinus sylvestris) are the predominant vegetation type in the study area. The average height of this shrub vegetation is around 1.5 m. The prescribed fire was conducted by the National Forestry Authority (AFN) in November 2008. Fuzzy Boolean Nets (FBN) were used to evaluate the alteration in soil parameters when compared with adjacent spots where: i) no fire occurrence was registered since 1998; ii) fire occurrence was registered in 2008; and iii) vegetation pruning by mechanical cut was done in Spring six months prior to the prescribed fire event. Results suggest that in the particular case of the studied site, Anjos, the observed soil properties alterations cannot be related with the prescribed fire.

Fuzzy Boolean nets investigation of the alteration of some physical forest soil properties due to a prescribed fire action

Portuguese northern forests are often and severely affected by wildfires during the summer season. Some preventive actions, such as prescribed (or controlled) burnings and clear-cut logging, are often used as a measure to reduce the occurrences of wildfires. In the particular case of Serra da Cabreira forest, due to extremely difficulties in operational field work, the prescribed (or controlled) burning technique is the the most common preventive action used to reduce the existing fuel load amount. This paper focuses on a Fuzzy Boolean Nets analysis of the changes in some forest soil properties, namely pH, moisture and organic matter content, after a controlled fire, and on the difficulties found during the sampling process and how they were overcome. The monitoring process was conducted during a three-month period in Anjos, Vieira do Minho, Portugal, an area located in a contact zone between a two-mica coarse-grained porphyritic granite and a biotite with plagioclase granite. The sampling sites were located in a spot dominated by quartzphyllite with quartz veins whose bedrock is partially altered and covered by slightly thick humus, which maintains low undergrowth vegetation.

DC Fuzzy Multicriteria Approach to Increase the Probability of Delivering Power in Distribution Networks

This paper proposes a methodology to increase the probability of delivering power to any load point through the identification of new investments. The methodology uses a fuzzy set approach to model the uncertainty of outage parameters, load and generation. A DC fuzzy multicriteria optimization model considering the Pareto front and based on mixed integer non-linear optimization programming is developed in order to identify the adequate investments in distribution networks components which allow increasing the probability of delivering power to all customers in the distribution network at the minimum possible cost for the system operator, while minimizing the non supplied energy cost. To illustrate the application of the proposed methodology, the paper includes a case study which considers an 33 bus distribution network.

Modelo de controlo difuso de um sistema de produção de energia com base em recursos renováveis

A satisfação das necessidades energéticas mundiais, cada vez mais exigentes, bem como a necessidade urgente de procurar caminhos que permitam usufruir de energia, da forma menos poluente possível, levam à necessidade de serem explorados caminhos que permitam cumprir estes pressupostos. A escolha da utilização das energias renováveis na produção de energia, torna-se cada vez mais interessante, quer do ponto de vista ambiental quer económico. O fundamento da lógica difusa está associado à recolha de informações vagas, que são no fundo uma linguagem falada por seres humanos, possibilitando a passagem deste tipo de linguagem para formato numérico, permitindo assim uma manipulação computacional. Elementos climáticos como o sol e o vento, podem ser descritos em forma de variáveis linguísticas, como é o caso de vento forte, temperatura baixa, irradiação fraca, etc. Isto faz com que a aplicação de um controlo a partir destes fenómenos, justifique ser realizado com recurso a sistemas de inferência difusa. Para a realização do trabalho proposto, foram consumados estudos relativos às energias renováveis, com particular enfoque na solar e na eólica. Também foi realizado um estudo dos conceitos pertencentes à lógica difusa e a sistemas de inferência difusa com o objetivo de perceber os diversos parâmetros constituintes desta matéria. Foi realizado o estudo e desenvolvimento de um sistema de aquisição de dados, bem como do controlador difuso que é o busílis do trabalho descrito neste relatório. Para tal, o trabalho foi efetuado com o recurso ao software MATLAB, a partir do qual foram desenvolvidas aplicações que possibilitaram a obtenção de dados climáticos, com vista à sua utilização na toolbox Fuzzy Logic a qual foi utilizada para o desenvolvimento de todo o algoritmo de controlo. Com a possibilidade de aquisição de dados concluída e das variáveis que iriam ser necessárias definidas, foi implementado o controlador difuso que foi sendo sintonizado ao longo do trabalho por forma a garantir os melhores resultados possíveis. Com o recurso à ferramenta Guide, também do MATLAB, foi criada a interface do sistema com o utilizador, sendo possível a averiguação da energia a ser produzida, bem como das contribuições de cada uma das fontes de energia renováveis para a obtenção dessa mesma energia. Por último, foi feita uma análise de resultados através da comparação entre os valores reais esperados e os valores obtidos pelo controlador difuso, bem como assinaladas conclusões e possibilidades de desenvolvimentos futuros deste trabalho.

Planeamento de redes de distribuição de energia

O planeamento de redes de distribuição tem como objetivo assegurar a existência de capacidade nas redes para a fornecimento de energia elétrica com bons níveis de qualidade de serviço tendo em conta os fatores económicos associados. No âmbito do trabalho apresentado na presente dissertação, foi elaborado um modelo de planeamento que determina a configuração de rede resultante da minimização de custos associados a: 1) perdas por efeito de joule; 2) investimento em novos componentes; 3) energia não entregue. A incerteza associada ao valor do consumo de cada carga é modelada através de lógica difusa. O problema de otimização definido é resolvido pelo método de decomposição de benders que contempla dois trânsitos de potências ótimos (modelo DC e modelo AC) no problema mestre e escravo respectivamente para validação de restrições. Foram também definidos critérios de paragem do método de decomposição de benders. O modelo proposto classifica-se como programação não linear inteira mista e foi implementado na ferramenta de otimização General Algebraic Modeling System (GAMS). O modelo desenvolvido tem em conta todos componentes das redes para a otimização do planeamento, conforme podemos analisar nos casos de estudo implementados. Cada caso de estudo é definido pela variação da importância que cada uma das variáveis do problema toma, tendo em vista cobrir de alguma todos os cenários de operação expetáveis. Através destes casos de estudo verifica-se as várias configurações que a rede pode tomar, tendo em conta as importâncias atribuídas a cada uma das variáveis, bem como os respetivos custos associados a cada solução. Este trabalho oferece um considerável contributo no âmbito do planeamento de redes de distribuição, pois comporta diferentes variáveis para a execução do mesmo. É também um modelo bastante robusto não perdendo o ‘norte’ no encontro de solução para redes de grande dimensão, com maior número de componentes.

Adaptive Penalty and Barrier function based on Fuzzy Logic

Optimization methods have been used in many areas of knowledge, such as Engineering, Statistics, Chemistry, among others, to solve optimization problems. In many cases it is not possible to use derivative methods, due to the characteristics of the problem to be solved and/or its constraints, for example if the involved functions are non-smooth and/or their derivatives are not know. To solve this type of problems a Java based API has been implemented, which includes only derivative-free optimization methods, and that can be used to solve both constrained and unconstrained problems. For solving constrained problems, the classic Penalty and Barrier functions were included in the API. In this paper a new approach to Penalty and Barrier functions, based on Fuzzy Logic, is proposed. Two penalty functions, that impose a progressive penalization to solutions that violate the constraints, are discussed. The implemented functions impose a low penalization when the violation of the constraints is low and a heavy penalty when the violation is high. Numerical results, obtained using twenty-eight test problems, comparing the proposed Fuzzy Logic based functions to six of the classic Penalty and Barrier functions are presented. Considering the achieved results, it can be concluded that the proposed penalty functions besides being very robust also have a very good performance.

Estudio de la gestión de la variable ambiental en la generación termoeléctrica

En la actualidad, el cambio climático es uno de los temas de mayor preocupación para la población mundial y los científicos de todo el mundo. Debido al crecimiento de la población de forma exponencial, la demanda de energía aumenta acorde con ello, por lo que las actividades de producción energética aumentan consecuentemente, siendo éstas las principales causantes de la aceleración del cambio climático. Pese a que muchos países previamente habían apostado por la producción energética mediante tecnologías limpias a partir de energías renovables, hoy en día es imposible prescindir de los combustibles fósiles pues, junto a la energía nuclear, suponen el mayor porcentaje dentro del mix energético de los países más grandes del mundo, por lo que el cambio debe ser global y con todos los países implicados al unísono. Por ello, los países desarrollados decidieron acordar una serie de leyes y normas para la regulación y el control de la expansión energética en el mundo, mediante programas de incentivo a las empresas para la producción de energía limpia, libre de emisiones, sustituyendo y mejorando los procesos tecnológicos para que garanticen un desarrollo sostenible. De esta forma, se conseguiría también reducir la dependencia energética de los países productores de los recursos fósiles más importantes y a su vez, ayudar a otros sectores a diversificar su negocio y mejorar así la economía de las áreas colindantes a las centrales de producción térmica. Gracias a estos programas de incentivo o, también llamados mecanismos de flexibilidad, las empresas productoras de energía, al acometer inversiones en tecnologia limpia, dejan de emitir gases de efecto invernadero a la atmósfera. Por tanto, gracias al comercio de emisiones y al mercado voluntario, las empresas pueden vender dichas emisiones aumentando la rentabilidad de sus proyectos, haciendo más atractivo de por sí el hecho de invertir en tecnología limpia. En el proyecto desarrollado, se podrá comprobar de una forma más extensa todo lo anteriormente citado. Para ello, se desarrollará una herramienta de cálculo que nos permitirá analizar los beneficios obtenidos por la sustitución de un combustible fósil, no renovable, por otro renovable y sostenible, como es la biomasa. En esta herramienta se calcularán, de forma estimada, las reducciones de las emisiones de CO2 que supone dicha sustitución y se hallará, en función del valor de las cotizaciones de los bonos de carbono en los diferentes mercados, cuál será el beneficio económico obtenido por la venta de las emisiones no emitidas que supone esta sustitución. Por último, dicho beneficio será insertado en un balance económico de la central donde se tendrán en cuenta otras variables como el precio del combustible o las fluctuaciones del precio de la electricidad, para hallar finalmente la rentabilidad que supondría la inversión de esta adaptación en la central. Con el fin de complementar y aplicar la herramienta de cálculo, se analizarán dos casos prácticos de una central de carbón, en los cuales se decide su suscripción dentro del contexto de los mecanismos de flexibilidad creados en los acuerdos internacionales.