On differentiability and analyticity of positive definite functions

We derive a set of differential inequalities for positive definite functions based on previous results derived for positive definite kernels by purely algebraic methods. Our main results show that the global behavior of a smooth positive definite function is, to a large extent, determined solely by the sequence of even-order derivatives at the origin: if a single one of these vanishes then the function is constant; if they are all non-zero and satisfy a natural growth condition, the function is real-analytic and consequently extends holomorphically to a maximal horizontal strip of the complex plane.

Construção do edifício Báltico Center, Parque das Nações

É uma inevitabilidade que, mesmo num curso de engenharia, a vertente académica seja preponderante sobre a vertente académica. A evolução dos materiais, das tecnologias e da própria construção a isso obrigam. No entanto, para se poder perceber os impactes dessa evolução, torna-se necessário ver in loco a sua aplicação. Assim, após seis anos de curso, um estágio numa empresa de construção foi o passo que me pareceu mais lógico e enriquecedor. O facto de ser em obra propôs-me um desafio extra por ser uma actividade com uma dinâmica totalmente diferente da que estava habituado. As 16 semanas de estágio foram essenciais para adquirir experiência e alguns conhecimentos extremamente úteis na futura vida profissional. Pretende-se, com este relatório, resumir de uma forma simples mas completa, essa experiência, descrevendo, ao longo de quatro capítulos, o projecto, as soluções técnicas propostas para resolver alguns problemas encontrados, a vivência de trabalhar numa obra e a sua organização; e, por último, uma solução de planeamento e gestão da obra inovadora em Portugal: o Building Information Modelling (B.I.M.).

CVD of CrO2 thin films: Influence of the deposition parameters on their structural and magnetic properties

This work reports on the synthesis of CrO2 thin films by atmospheric pressure CVD using chromium trioxide (CrO3) and oxygen. Highly oriented (100) CrO2 films containing highly oriented (0001) Cr2O3 were grown onto Al2O3(0001) substrates. Films display a sharp magnetic transition at 375 K and a saturation magnetization of 1.92 mu(B)/f.u., close to the bulk value of 2 mu(B)/f.u. for the CrO2.

Fast optimum-predictive control and capacitor voltage balancing strategy for bipolar back-to-back NPC converters in high-voltage direct current transmission systems

Multilevel power converters have been introduced as the solution for high-power high-voltage switching applications where they have well-known advantages. Recently, full back-to-back connected multilevel neutral point diode clamped converters (NPC converter) have been used inhigh-voltage direct current (HVDC) transmission systems. Bipolar-connected back-to-back NPC converters have advantages in long-distance HVDCtransmission systems over the full back-to-back connection, but greater difficulty to balance the dc capacitor voltage divider on both sending and receiving end NPC converters. This study shows that power flow control and dc capacitor voltage balancing are feasible using fast optimum-predictive-based controllers in HVDC systems using bipolar back-to-back-connected five-level NPC multilevel converters. For both converter sides, the control strategytakes in account active and reactive power, which establishes ac grid currents in both ends, and guarantees the balancing of dc bus capacitor voltages inboth NPC converters. Additionally, the semiconductor switching frequency is minimised to reduce switching losses. The performance and robustness of the new fast predictive control strategy, and its capability to solve the DC capacitor voltage balancing problem of bipolar-connected back-to-back NPCconverters are evaluated.