Determination of electricity consumers’ load profiles via weighted evidence accumulation clustering using subsampling

With the electricity market liberalization, the distribution and retail companies are looking for better market strategies based on adequate information upon the consumption patterns of its electricity consumers. A fair insight on the consumers’ behavior will permit the definition of specific contract aspects based on the different consumption patterns. In order to form the different consumers’ classes, and find a set of representative consumption patterns we use electricity consumption data from a utility client’s database and two approaches: Two-step clustering algorithm and the WEACS approach based on evidence accumulation (EAC) for combining partitions in a clustering ensemble. While EAC uses a voting mechanism to produce a co-association matrix based on the pairwise associations obtained from N partitions and where each partition has equal weight in the combination process, the WEACS approach uses subsampling and weights differently the partitions. As a complementary step to the WEACS approach, we combine the partitions obtained in the WEACS approach with the ALL clustering ensemble construction method and we use the Ward Link algorithm to obtain the final data partition. The characterization of the obtained consumers’ clusters was performed using the C5.0 classification algorithm. Experiment results showed that the WEACS approach leads to better results than many other clustering approaches.

Inexact restoration approaches to solve mathematical program with complementarity constraints

Mathematical Program with Complementarity Constraints (MPCC) finds applica- tion in many fields. As the complementarity constraints fail the standard Linear In- dependence Constraint Qualification (LICQ) or the Mangasarian-Fromovitz constraint qualification (MFCQ), at any feasible point, the nonlinear programming theory may not be directly applied to MPCC. However, the MPCC can be reformulated as NLP problem and solved by nonlinear programming techniques. One of them, the Inexact Restoration (IR) approach, performs two independent phases in each iteration - the feasibility and the optimality phases. This work presents two versions of an IR algorithm to solve MPCC. In the feasibility phase two strategies were implemented, depending on the constraints features. One gives more importance to the complementarity constraints, while the other considers the priority of equality and inequality constraints neglecting the complementarity ones. The optimality phase uses the same approach for both algorithm versions. The algorithms were implemented in MATLAB and the test problems are from MACMPEC collection.

Efeitos de dois programas de exercício na endurance de tronco, controlo lombo-pélvico, perceção de dor lombar e fadiga, funcionalidade e qualidade de vida: Pilates Clínico vs Exercícios segundo McGill

Introdução: A lombalgia crónica assume uma elevada prevalência e graves repercussões a nível socioeconómico, sendo inúmeras as abordagens terapêuticas para o seu tratamento e prevenção. Existindo forte evidência da eficácia dos exercícios terapêuticos no seu tratamento, importa saber quais os mais efetivos. Objectivos: Comparar a efetividade de dois programas de exercício terapêutico na endurance do tronco, no controlo lombo-pélvico, na perceção de dor lombar e fadiga, na funcionalidade e na qualidade de vida em mulheres com lombalgia crónica não especifica, cuidadoras de idosos. Métodos: 24 mulheres foram divididas aleatoriamente em três grupos de 8. Durante 6 semanas, um grupo serviu de controlo (GC) e os outros dois grupos realizaram um programa de exercícios: Pilates Clínico (GP) ou exercícios segundo McGill (GM), com os outcomes medidos em ternos de endurance de tronco pelos testes de McGill, controlo lombo-pélvico pelos testes Active Straight Leg Raise e teste de controlo lombo-pélvico segundo McGill, dor lombar pela Numerical Rating Scale, fadiga pela escala de Borg, funcionalidade através do Questionário de Incapacidade de Roland Morris e qualidade de vida através do Questionário de Estado de Saúde (SF36-V2). Resultados: Relativamente à endurance, verificaram-se diferenças entre grupos no rácio flexores/extensores (p=0,005), e no rácio lateroflexores à esquerda/extensores (p=0,027), sendo que o GP apresentou um rácio estatisticamente inferior ao GC em ambos. Não existiram diferenças estatisticamente significativas entre os 3 grupos no controlo lombo-pélvico, perceção de dor, fadiga e funcionalidade, apesar das melhorias observadas intra-grupos. Relativamente à qualidade de vida, a dimensão saúde em geral aumentou significativamente no GP (p=0,020) e a função social no GM (p=0,045). Conclusão: A implementação dos programas de exercício Pilates Clínico e Exercícios segundo McGill numa amostra de cuidadoras de idosos com lombalgia crónica não especifica, parece ter um efeito positivo quando comparados com os do grupo de controlo sobre a endurance do tronco, controlo lombo-pélvico, perceção de dor lombar e fadiga, funcionalidade e qualidade de vida.

Comparison of allocation approaches in soybean biodiesel life cycle assessment

This work shows the influence of using different allocation approaches when modelling the inventory analysis in a soybean biodiesel life cycle assessment (LCA). Results obtained using mass, energy and economic based allocations are compared, focusing on the following aspects: normalised potential environmental impact (PEI) categories, total PEI and relative contributions to the total PEI from each life cycle stage and environmental impact category. Similar results are obtained either using economic and energy based allocations. However, different results are obtained when mass based allocation is used when compared with the other two. This study also illustrates that using different allocation approaches in biodiesel LCA may influence the final conclusions, especially in comparative assertions, emphasising the need to perform a sensitivity analysis in the LCA interpretation step.

Analysis of temperature time-series: embedding dynamics into the MDS method

Global warming and the associated climate changes are being the subject of intensive research due to their major impact on social, economic and health aspects of the human life. Surface temperature time-series characterise Earth as a slow dynamics spatiotemporal system, evidencing long memory behaviour, typical of fractional order systems. Such phenomena are difficult to model and analyse, demanding for alternative approaches. This paper studies the complex correlations between global temperature time-series using the Multidimensional scaling (MDS) approach. MDS provides a graphical representation of the pattern of climatic similarities between regions around the globe. The similarities are quantified through two mathematical indices that correlate the monthly average temperatures observed in meteorological stations, over a given period of time. Furthermore, time dynamics is analysed by performing the MDS analysis over slices sampling the time series. MDS generates maps describing the stations’ locus in the perspective that, if they are perceived to be similar to each other, then they are placed on the map forming clusters. We show that MDS provides an intuitive and useful visual representation of the complex relationships that are present among temperature time-series, which are not perceived on traditional geographic maps. Moreover, MDS avoids sensitivity to the irregular distribution density of the meteorological stations.