Asymptotic solution for the two-body problem with constant tangencial acceleration

An analytical solution of the two body problem perturbed by a constant tangential acceleration is derived with the aid of perturbation theory. The solution, which is valid for circular and elliptic orbits with generic eccentricity, describes the instantaneous time variation of all orbital elements. A comparison with high-accuracy numerical results shows that the analytical method can be effectively applied to multiple-revolution low-thrust orbit transfer around planets and in interplanetary space with negligible error.

Multiple Input-Output Bidirectional Solid State Transformer Based on a Series Resonant Converter

Las fuentes de alimentación de modo conmutado (SMPS en sus siglas en inglés) se utilizan ampliamente en una gran variedad de aplicaciones. La tarea más difícil para los diseñadores de SMPS consiste en lograr simultáneamente la operación del convertidor con alto rendimiento y alta densidad de energía. El tamaño y el peso de un convertidor de potencia está dominado por los componentes pasivos, ya que estos elementos son normalmente más grandes y más pesados que otros elementos en el circuito. Para una potencia de salida dada, la cantidad de energía almacenada en el convertidor que ha de ser entregada a la carga en cada ciclo de conmutación, es inversamente proporcional a la frecuencia de conmutación del convertidor. Por lo tanto, el aumento de la frecuencia de conmutación se considera un medio para lograr soluciones más compactas con los niveles de densidad de potencia más altos. La importancia de investigar en el rango de alta frecuencia de conmutación radica en todos los beneficios que se pueden lograr: además de la reducción en el tamaño de los componentes pasivos, el aumento de la frecuencia de conmutación puede mejorar significativamente prestaciones dinámicas de convertidores de potencia. Almacenamiento de energía pequeña y el período de conmutación corto conducen a una respuesta transitoria del convertidor más rápida en presencia de las variaciones de la tensión de entrada o de la carga. Las limitaciones más importantes del incremento de la frecuencia de conmutación se relacionan con mayores pérdidas del núcleo magnético convencional, así como las pérdidas de los devanados debido a los efectos pelicular y proximidad. También, un problema potencial es el aumento de los efectos de los elementos parásitos de los componentes magnéticos - inductancia de dispersión y la capacidad entre los devanados - que causan pérdidas adicionales debido a las corrientes no deseadas. Otro factor limitante supone el incremento de las pérdidas de conmutación y el aumento de la influencia de los elementos parásitos (pistas de circuitos impresos, interconexiones y empaquetado) en el comportamiento del circuito. El uso de topologías resonantes puede abordar estos problemas mediante el uso de las técnicas de conmutaciones suaves para reducir las pérdidas de conmutación incorporando los parásitos en los elementos del circuito. Sin embargo, las mejoras de rendimiento se reducen significativamente debido a las corrientes circulantes cuando el convertidor opera fuera de las condiciones de funcionamiento nominales. A medida que la tensión de entrada o la carga cambian las corrientes circulantes incrementan en comparación con aquellos en condiciones de funcionamiento nominales. Se pueden obtener muchos beneficios potenciales de la operación de convertidores resonantes a más alta frecuencia si se emplean en aplicaciones con condiciones de tensión de entrada favorables como las que se encuentran en las arquitecturas de potencia distribuidas. La regulación de la carga y en particular la regulación de la tensión de entrada reducen tanto la densidad de potencia del convertidor como el rendimiento. Debido a la relativamente constante tensión de bus que se encuentra en arquitecturas de potencia distribuidas los convertidores resonantes son adecuados para el uso en convertidores de tipo bus (transformadores cc/cc de estado sólido). En el mercado ya están disponibles productos comerciales de transformadores cc/cc de dos puertos que tienen muy alta densidad de potencia y alto rendimiento se basan en convertidor resonante serie que opera justo en la frecuencia de resonancia y en el orden de los megahercios. Sin embargo, las mejoras futuras en el rendimiento de las arquitecturas de potencia se esperan que vengan del uso de dos o más buses de distribución de baja tensión en vez de una sola. Teniendo eso en cuenta, el objetivo principal de esta tesis es aplicar el concepto del convertidor resonante serie que funciona en su punto óptimo en un nuevo transformador cc/cc bidireccional de puertos múltiples para atender las necesidades futuras de las arquitecturas de potencia. El nuevo transformador cc/cc bidireccional de puertos múltiples se basa en la topología de convertidor resonante serie y reduce a sólo uno el número de componentes magnéticos. Conmutaciones suaves de los interruptores hacen que sea posible la operación en las altas frecuencias de conmutación para alcanzar altas densidades de potencia. Los problemas posibles con respecto a inductancias parásitas se eliminan, ya que se absorben en los Resumen elementos del circuito. El convertidor se caracteriza con una muy buena regulación de la carga propia y cruzada debido a sus pequeñas impedancias de salida intrínsecas. El transformador cc/cc de puertos múltiples opera a una frecuencia de conmutación fija y sin regulación de la tensión de entrada. En esta tesis se analiza de forma teórica y en profundidad el funcionamiento y el diseño de la topología y del transformador, modelándolos en detalle para poder optimizar su diseño. Los resultados experimentales obtenidos se corresponden con gran exactitud a aquellos proporcionados por los modelos. El efecto de los elementos parásitos son críticos y afectan a diferentes aspectos del convertidor, regulación de la tensión de salida, pérdidas de conducción, regulación cruzada, etc. También se obtienen los criterios de diseño para seleccionar los valores de los condensadores de resonancia para lograr diferentes objetivos de diseño, tales como pérdidas de conducción mínimas, la eliminación de la regulación cruzada o conmutación en apagado con corriente cero en plena carga de todos los puentes secundarios. Las conmutaciones en encendido con tensión cero en todos los interruptores se consiguen ajustando el entrehierro para obtener una inductancia magnetizante finita en el transformador. Se propone, además, un cambio en los señales de disparo para conseguir que la operación con conmutaciones en apagado con corriente cero de todos los puentes secundarios sea independiente de la variación de la carga y de las tolerancias de los condensadores resonantes. La viabilidad de la topología propuesta se verifica a través una extensa tarea de simulación y el trabajo experimental. La optimización del diseño del transformador de alta frecuencia también se aborda en este trabajo, ya que es el componente más voluminoso en el convertidor. El impacto de de la duración del tiempo muerto y el tamaño del entrehierro en el rendimiento del convertidor se analizan en un ejemplo de diseño de transformador cc/cc de tres puertos y cientos de vatios de potencia. En la parte final de esta investigación se considera la implementación y el análisis de las prestaciones de un transformador cc/cc de cuatro puertos para una aplicación de muy baja tensión y de decenas de vatios de potencia, y sin requisitos de aislamiento. Abstract Recently, switch mode power supplies (SMPS) have been used in a great variety of applications. The most challenging issue for designers of SMPS is to achieve simultaneously high efficiency operation at high power density. The size and weight of a power converter is dominated by the passive components since these elements are normally larger and heavier than other elements in the circuit. If the output power is constant, the stored amount of energy in the converter which is to be delivered to the load in each switching cycle is inversely proportional to the converter’s switching frequency. Therefore, increasing the switching frequency is considered a mean to achieve more compact solutions at higher power density levels. The importance of investigation in high switching frequency range comes from all the benefits that can be achieved. Besides the reduction in size of passive components, increasing switching frequency can significantly improve dynamic performances of power converters. Small energy storage and short switching period lead to faster transient response of the converter against the input voltage and load variations. The most important limitations for pushing up the switching frequency are related to increased conventional magnetic core loss as well as the winding loss due to the skin and proximity effect. A potential problem is also increased magnetic parasitics – leakage inductance and capacitance between the windings – that cause additional loss due to unwanted currents. Higher switching loss and the increased influence of printed circuit boards, interconnections and packaging on circuit behavior is another limiting factor. Resonant power conversion can address these problems by using soft switching techniques to reduce switching loss incorporating the parasitics into the circuit elements. However the performance gains are significantly reduced due to the circulating currents when the converter operates out of the nominal operating conditions. As the input voltage or the load change the circulating currents become higher comparing to those ones at nominal operating conditions. Multiple Input-Output Many potential gains from operating resonant converters at higher switching frequency can be obtained if they are employed in applications with favorable input voltage conditions such as those found in distributed power architectures. Load and particularly input voltage regulation reduce a converter’s power density and efficiency. Due to a relatively constant bus voltage in distributed power architectures the resonant converters are suitable for bus voltage conversion (dc/dc or solid state transformation). Unregulated two port dc/dc transformer products achieving very high power density and efficiency figures are based on series resonant converter operating just at the resonant frequency and operating in the megahertz range are already available in the market. However, further efficiency improvements of power architectures are expected to come from using two or more separate low voltage distribution buses instead of a single one. The principal objective of this dissertation is to implement the concept of the series resonant converter operating at its optimum point into a novel bidirectional multiple port dc/dc transformer to address the future needs of power architectures. The new multiple port dc/dc transformer is based on a series resonant converter topology and reduces to only one the number of magnetic components. Soft switching commutations make possible high switching frequencies to be adopted and high power densities to be achieved. Possible problems regarding stray inductances are eliminated since they are absorbed into the circuit elements. The converter features very good inherent load and cross regulation due to the small output impedances. The proposed multiple port dc/dc transformer operates at fixed switching frequency without line regulation. Extensive theoretical analysis of the topology and modeling in details are provided in order to compare with the experimental results. The relationships that show how the output voltage regulation and conduction losses are affected by the circuit parasitics are derived. The methods to select the resonant capacitor values to achieve different design goals such as minimum conduction losses, elimination of cross regulation or ZCS operation at full load of all the secondary side bridges are discussed. ZVS turn-on of all the switches is achieved by relying on the finite magnetizing inductance of the Abstract transformer. A change of the driving pattern is proposed to achieve ZCS operation of all the secondary side bridges independent on load variations or resonant capacitor tolerances. The feasibility of the proposed topology is verified through extensive simulation and experimental work. The optimization of the high frequency transformer design is also addressed in this work since it is the most bulky component in the converter. The impact of dead time interval and the gap size on the overall converter efficiency is analyzed on the design example of the three port dc/dc transformer of several hundreds of watts of the output power for high voltage applications. The final part of this research considers the implementation and performance analysis of the four port dc/dc transformer in a low voltage application of tens of watts of the output power and without isolation requirements.

Operational modal analisys using joint statistical analysis of multiple records

In Operational Modal Analysis (OMA) of a structure, the data acquisition process may be repeated many times. In these cases, the analyst has several similar records for the modal analysis of the structure that have been obtained at di�erent time instants (multiple records). The solution obtained varies from one record to another, sometimes considerably. The differences are due to several reasons: statistical errors of estimation, changes in the external forces (unmeasured forces) that modify the output spectra, appearance of spurious modes, etc. Combining the results of the di�erent individual analysis is not straightforward. To solve the problem, we propose to make the joint estimation of the parameters using all the records. This can be done in a very simple way using state space models and computing the estimates by maximum-likelihood. The method provides a single result for the modal parameters that combines optimally all the records.

A new set of integrals of motion to propagate the perturbed two-body problem

A formulation of the perturbed two-body problem that relies on a new set of orbital elements is presented. The proposed method represents a generalization of the special perturbation method published by Peláez et al. (Celest Mech Dyn Astron 97(2):131?150,2007) for the case of a perturbing force that is partially or totally derivable from a potential. We accomplish this result by employing a generalized Sundman time transformation in the framework of the projective decomposition, which is a known approach for transforming the two-body problem into a set of linear and regular differential equations of motion. Numerical tests, carried out with examples extensively used in the literature, show the remarkable improvement of the performance of the new method for different kinds of perturbations and eccentricities. In particular, one notable result is that the quadratic dependence of the position error on the time-like argument exhibited by Peláez?s method for near-circular motion under the J2 perturbation is transformed into linear.Moreover, themethod reveals to be competitive with two very popular elementmethods derived from theKustaanheimo-Stiefel and Sperling-Burdet regularizations.

Asymptotic Solution for the Two Body Problem with Radial Perturbing Acceleration

In this article, an approximate analytical solution for the two body problem perturbed by a radial, low acceleration is obtained, using a regularized formulation of the orbital motion and the method of multiple scales. The results reveal that the physics of the problem evolve in two fundamental scales of the true anomaly. The first one drives the oscillations of the orbital parameters along each orbit. The second one is responsible of the long-term variations in the amplitude and mean values of these oscillations. A good agreement is found with high precision numerical solutions.

Multiple feature points representation in target localization of wireless visual sensor networks

This paper discusses the target localization problem in wireless visual sensor networks. Additive noises and measurement errors will affect the accuracy of target localization when the visual nodes are equipped with low-resolution cameras. In the goal of improving the accuracy of target localization without prior knowledge of the target, each node extracts multiple feature points from images to represent the target at the sensor node level. A statistical method is presented to match the most correlated feature point pair for merging the position information of different sensor nodes at the base station. Besides, in the case that more than one target exists in the field of interest, a scheme for locating multiple targets is provided. Simulation results show that, our proposed method has desirable performance in improving the accuracy of locating single target or multiple targets. Results also show that the proposed method has a better trade-off between camera node usage and localization accuracy.

Multiple quantum solid-state NMR indicates a parallel, not antiparallel, organization of β-sheets in Alzheimer's β-amyloid fibrils

Senile plaques associated with Alzheimer's disease contain deposits of fibrils formed by 39- to 43-residue β-amyloid peptides with possible neurotoxic effects. X-ray diffraction measurements on oriented fibril bundles have indicated an extended β-sheet structure for Alzheimer's β-amyloid fibrils and other amyloid fibrils, but the supramolecular organization of the β-sheets and other structural details are not well established because of the intrinsically noncrystalline, insoluble nature of amyloid fibrils. Here we report solid-state NMR measurements, using a multiple quantum (MQ) 13C NMR technique, that probe the β-sheet organization in fibrils formed by the full-length, 40-residue β-amyloid peptide (Aβ1–40). Although an antiparallel β-sheet organization often is assumed and is invoked in recent structural models for full-length β-amyloid fibrils, the MQNMR data indicate an in-register, parallel organization. This work provides site-specific, atomic-level structural constraints on full-length β-amyloid fibrils and applies MQNMR to a significant problem in structural biology.

Premature Polyadenylation at Multiple Sites within a Bacillus thuringiensis Toxin Gene-Coding Region1

Some foreign genes introduced into plants are poorly expressed, even when transcription is controlled by a strong promoter. Perhaps the best examples of this problem are the cry genes of Bacillus thuringiensis (B.t.), which encode the insecticidal proteins commonly referred to as B.t. toxins. As a step toward overcoming such problems most effectively, we sought to elucidate the mechanisms limiting the expression of a typical B.t.-toxin gene, cryIA(c), which accumulates very little mRNA in tobacco (Nicotiana tabacum) cells. Most cell lines transformed with the cryIA(c) B.t.-toxin gene accumulate short, polyadenylated transcripts. The abundance of these transcripts can be increased by treating the cells with cycloheximide, a translation inhibitor that can stabilize many unstable transcripts. Using a series of hybridizations, reverse-transcriptase polymerase chain reactions, and RNase-H-digestion experiments, poly(A+) addition sites were identified in the B.t.-toxin-coding region corresponding to the short transcripts. A fourth polyadenylation site was identified using a chimeric gene. These results demonstrate for the first time to our knowledge that premature polyadenylation can limit the expression of a foreign gene in plants. Moreover, this work emphasizes that further study of the fundamental principles governing polyadenylation in plants will have basic as well as applied significance.

Overexpression of RNase H partially complements the growth defect of an Escherichia coli delta topA mutant: R-loop formation is a major problem in the absence of DNA topoisomerase I.

Previous biochemical studies have suggested a role for bacterial DNA topoisomerase (TOPO) I in the suppression of R-loop formation during transcription. In this report, we present several pieces of genetic evidence to support a model in which R-loop formation is dynamically regulated during transcription by activities of multiple DNA TOPOs and RNase H. In addition, our results suggest that events leading to the serious growth problems in the absence of DNA TOPO I are linked to R-loop formation. We show that the overexpression of RNase H, an enzyme that degrades the RNA moiety of an R loop, can partially compensate for the absence of DNA TOPO I. We also note that a defect in DNA gyrase can correct several phenotypes associated with a mutation in the rnhA gene, which encodes the major RNase H activity. In addition, we found that a combination of topA and rnhA mutations is lethal.

COMPENDIUM: a text summarisation tool for generating summaries of multiple purposes, domains, and genres

In this paper, we present a Text Summarisation tool, compendium, capable of generating the most common types of summaries. Regarding the input, single- and multi-document summaries can be produced; as the output, the summaries can be extractive or abstractive-oriented; and finally, concerning their purpose, the summaries can be generic, query-focused, or sentiment-based. The proposed architecture for compendium is divided in various stages, making a distinction between core and additional stages. The former constitute the backbone of the tool and are common for the generation of any type of summary, whereas the latter are used for enhancing the capabilities of the tool. The main contributions of compendium with respect to the state-of-the-art summarisation systems are that (i) it specifically deals with the problem of redundancy, by means of textual entailment; (ii) it combines statistical and cognitive-based techniques for determining relevant content; and (iii) it proposes an abstractive-oriented approach for facing the challenge of abstractive summarisation. The evaluation performed in different domains and textual genres, comprising traditional texts, as well as texts extracted from the Web 2.0, shows that compendium is very competitive and appropriate to be used as a tool for generating summaries.

Optimization of test and maintenance of ageing components consisting of multiple items and addressing effectiveness

There are many models in the literature that have been proposed in the last decades aimed at assessing the reliability, availability and maintainability (RAM) of safety equipment, many of them with a focus on their use to assess the risk level of a technological system or to search for appropriate design and/or surveillance and maintenance policies in order to assure that an optimum level of RAM of safety systems is kept during all the plant operational life. This paper proposes a new approach for RAM modelling that accounts for equipment ageing and maintenance and testing effectiveness of equipment consisting of multiple items in an integrated manner. This model is then used to perform the simultaneous optimization of testing and maintenance for ageing equipment consisting of multiple items. An example of application is provided, which considers a simplified High Pressure Injection System (HPIS) of a typical Power Water Reactor (PWR). Basically, this system consists of motor driven pumps (MDP) and motor operated valves (MOV), where both types of components consists of two items each. These components present different failure and cause modes and behaviours, and they also undertake complex test and maintenance activities depending on the item involved. The results of the example of application demonstrate that the optimization algorithm provide the best solutions when the optimization problem is formulated and solved considering full flexibility in the implementation of testing and maintenance activities taking part of such an integrated RAM model.

Multiple imputation for body mass index: lessons from the Australian Longitudinal Study on Women's Health

In large epidemiological studies missing data can be a problem, especially if information is sought on a sensitive topic or when a composite measure is calculated from several variables each affected by missing values. Multiple imputation is the method of choice for 'filling in' missing data based on associations among variables. Using an example about body mass index from the Australian Longitudinal Study on Women's Health, we identify a subset of variables that are particularly useful for imputing values for the target variables. Then we illustrate two uses of multiple imputation. The first is to examine and correct for bias when data are not missing completely at random. The second is to impute missing values for an important covariate; in this case omission from the imputation process of variables to be used in the analysis may introduce bias. We conclude with several recommendations for handling issues of missing data. Copyright (C) 2004 John Wiley Sons, Ltd.

An optimal sequential procedure for a buying-selling problem with independent observations

We consider a buying-selling problem when two stops of a sequence of independent random variables are required. An optimal stopping rule and the value of a game are obtained.

Investigation of the coping antecedents to positive outcomes and distress in multiple sclerosis (MS)

This study examined relations between stress and coping predictors and distress and positive outcomes in multiple sclerosis (MS). A total of 502 people with MS completed a questionnaire at Time 1 and, 3 months later, Time 2 (n= 404). Predictors included Time 1 illness (duration, number of symptoms, course), number of problems, appraisal and coping (acceptance, problem solving, emotional release, avoidance, personal health control, energy conservation). Dependent variables were Time 2 distress (anxiety, depression) and positive outcomes (life satisfaction, positive affect, benefits). Results indicated that as hypothesised, personal health control, emotional release and physical assistance were related to the positive outcomes, whereas avoidance was related to distress, and acceptance was associated with the positive outcomes and distress. Findings highlight the differential relations between coping strategies and positive and negative outcomes and the role of appraisal and coping in regulating distress and promoting positive psychological states while managing a chronic illness.

Relations between social support, appraisal and coping and both positive and negative outcomes for children of a parent with multiple sclerosis and comparisons with children of healthy parents

Objective: To examine adjustment in children of a parent with multiple sclerosis within a stress and coping framework and compare them with those who have 'healthy' parents. Subjects: A total of 193 participants between 10 and 25 years completed questionnaires; 48 youngsters who had a parent with multiple sclerosis and 145 youngsters who reported that they did not have a parent with an illness or disability. Method: A questionnaire survey methodology was used. Variable sets included caregiving context (e.g. additional parental illness, family responsibilities, parental functional impairment, choice in helping), social support (network size, satisfaction), stress appraisal, coping (problem solving, seeking support, acceptance, wishful thinking, denial), and positive (life satisfaction, positive affect, benefits) and negative (distress, health) adjustment outcomes. Results: Caregiving context variables significantly correlated with poorer adjustment in children of a parent with multiple sclerosis included additional parental illness, higher family responsibilities, parental functional impairment and unpredictability of the parent's multiple sclerosis, and less choice in helping. As predicted, better adjustment in children of a parent with multiple sclerosis was related to higher levels of social support, lower stress appraisals, greater reliance on approach coping strategies (problem solving, seeking support and acceptance) and less reliance on avoidant coping (wishful thinking and denial). Compared with children of 'healthy' parents, children of a parent with multiple sclerosis reported greater family responsibilities, less reliance on problem solving and seeking social support coping, higher somatization and lower life satisfaction and positive affect. Conclusions: Findings delineate the key impacts of young caregiving and support a stress and coping model of adjustment in children of a parent with multiple sclerosis.