Voltage (lighting) flicker is mainly caused by the electric arc furnaces (EAF) facility supplied by the medium and high voltage power network. In addition to that, because of the increase of wind power generation in both quantity and capacity, intermittent power output of wind turbines under wind speed variation could also cause voltage flickers that affect the performance of lighting and electronics devices in the neighboring feeder buses. Successful voltage flicker prediction and propagation estimation would help both utility and customers in dealing with the problem. This dissertation presents a nonlinear model for the short term prediction of voltage flicker due to EAF operations. In this study, synchronized voltage flicker measurement was conducted at several EAF facilities to understand the stochastic behavior of voltage flicker. The electric loading condition during EAF melting process shows a long term qualitative behavior of a dynamic system and illustrates a special structure of a fractal system. With the fractal structure identification, the behavior hidden behind the voltage flicker time series measurement could be grasped. Using a phase space reconstruction technique and Lyapunov exponent (LE) of state trajectory in the phase space, based on actual voltage flicker measurements, it is proved that the voltage flicker time series is chaos. By using LE, three formulations are adopted to build the prediction models and illustrate the feasibility of short term EAF voltage flicker prediction. Currently, some Asian countries are using the Japanese £GV10 flicker voltage standard. Due to the adoption of IEC standard by IEEE and European countries, a rational conversion of flicker planning limits between different standards would help utilities consider revising or changing their voltage flicker standards and planning limits. Statistical analyses of Pst and £GV10 measurement are conducted in this study. Under different EAF types and operation conditions, reasonable conversion factors between Pst and £GV10 standards are derived, and the flicker transfer factor between different voltage levels of the power supply system are presented.

<p>This thesis concerns the numerical simulation of creeping rays and their contribution to high frequency scattering problems.</p><p>Creeping rays are a type of diffracted rays which are generated at the shadow line of the scatterer and propagate along geodesic paths on the scatterer surface. On a perfectly conducting convex body, they attenuate along their propagation path by tangentially shedding diffracted rays and losing energy. On a concave scatterer, they propagate on the surface and importantly, in the absence of dissipation, experience no attenuation. The study of creeping rays is important in many high frequency problems, such as design of sophisticated and conformal antennas, antenna coupling problems, radar cross section (RCS) computations and control of scattering properties of metallic structures coated with dielectric materials.</p><p>First, assuming the scatterer surface can be represented by a single parameterization, we propose a new Eulerian formulation for the ray propagation problem by deriving a set of <i>escape </i>partial differential equations in a three-dimensional phase space. The equations are solved on a fixed computational grid using a version of fast marching algorithm. The solution to the equations contain information about all possible creeping rays. This information includes the phase and amplitude of the ray field, which are extracted by a fast post-processing. The advantage of this formulation over the standard Eulerian formulation is that we can compute multivalued solutions corresponding to crossing rays. Moreover, we are able to control the accuracy everywhere on the scatterer surface and suppress the problems with the traditional Lagrangian formulation. To compute all possible creeping rays corresponding to all shadow lines, the algorithm is of computational order O(<i>N</i>³ log <i>N</i>), with<i> N</i>³ being the total number of grid points in the computational phase space domain. This is expensive for computing the wave field for only one shadow line, but if the solutions are sought for many shadow lines (for many illumination angles), the phase space method is more efficient than the standard methods such as ray tracing and methods based on the eikonal equation.</p><p>Next, we present a modification of the single-patch phase space method to a multiple-patch scheme in order to handle realistic problems containing scatterers with complicated geometries. In such problems, the surface is split into multiple patches where each patch has a well-defined parameterization. The escape equations are solved in each patch, individually. The creeping rays on the scatterer are then computed by connecting all individual solutions through a fast post-processing.</p><p>We consider an application to mono-static radar cross section problems where creeping rays from all illumination angles must be computed. The numerical results of the fast phase space method are presented.</p>

This dissertation describes the development and effectiveness of a mathematical model used to predict the behavior of cantilever beams whose loading conditions include parallel combinations of evenly distributed loads and endpoint forces. The large deflection of cantilever beams has been widely studied. A number of models and mathematical techniques have been utilized in predicting the endpoint path coordinates and load-deflection relationships of such beams. The Pseudo-Rigid-Body Model (PRBM) is one such method which replaces the elastic beam with rigid links of a parameterized pivot location and torsional spring stiffness. In this paper, the PRBM method is extended to include cases of a constant distributed load combined with a parallel endpoint force. The phase space of the governing differential equations is used to store information relevant to the characterization of the PRBM parameters. Correction factors are also given to decrease the error in the load-deflection relationship and extend the angular range of the model, thereby further aiding compliant mechanism design. The calculations suggest a simple way of representing the effective torque caused by a distributed load in a PRBM as a function of easily calculated model parameters.

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In this abstract, we present a nonlinear curvelet-based sparsitypromoting formulation for the primary-multiple separation problem. We show that these coherent signal components can be separated robustly by explicitly exploting the locality of curvelets in phase space (space-spatial frequency plane) and their ability to compress data volumes that contain wavefronts. This work is an extension of earlier results and the presented algorithms are shown to be stable under noise and moderately erroneous multiple predictions.

Thesis (Ph. D.)--Physics, Georgia Institute of Technology, 2008. / Committee Chair: Uzer, Turgay; Committee Member: Aral, Mustafa; Committee Member: Flannery, Raymond; Committee Member: Raman, Chandra; Committee Member: Schatz, Michael.

Thesis (M.S.)--State University of New York at Binghamton, Watson School of Engineering and Applied Science (Electrical Engineering), 2007. / Includes bibliographical references.

Thesis (Ph. D.)--University of Texas at Austin, 2004. / Supervisor: Herbert L. Berk. Vita. Includes bibliographical references.

The stability of the photon beam position on synchrotron beamlines is critical for most if not all synchrotron radiation experiments. On wiggler and bend magnet beamlines, the vertical position is most critical due to the large horizontal width of the beam. The position of the beam at the experiment or optical element location is set by the position and trajectory of the electron beam source as it traverses the magnetic field of the bend magnet or the insertion device. Thus an ideal photon beam monitor would be able to simultaneously measure the photon beam’s vertical position and angle, or its position in phase space. X-ray diffraction is commonly used to prepare a monochromatic beam on x-ray beamlines usually in the form of a double crystal monochromator using perfect crystals. Diffraction from crystals couples the photon wavelength or energy to the incident angle on the crystal or lattice planes within the crystal. A monochromatic beam from such a monochromator will contain a spread of energies due to the vertical divergence of the photon beam from the source. This range of energies can easily cover the absorption edge of an element such as iodine at 33.17keV. It has been found that a system composed of a double crystal monochromator and an iodine filter that horizontally covers part of the monochromatic beam and an imaging detector can be used to independently and simultaneously measure the position and angle of the photon beam. This information can then be translated back to determine the vertical position and angle, or vertical phase space, of the electron beam source. This approach to measurement of the phase space of the source has not been done before and thus this study is the first of its kind. The goal of this thesis is to investigate the use of this combined monochromator, filter and detector as a phase space beam position monitor. The system was tested for sensitivity to position and angle under a number of synchrotron operating conditions (normal operations and special operating modes where the beam is intentionally altered in position and angle). These results were compared to other methods of beam position measurement from the literature to assess the utility of such a system as a beam diagnostic, a feedback element for electron beam control and a source of information that could be used to correct the experimental data to account for beam position and angle motion.

Orientador: Diógenes Galetti / Banca: Marcus Aloizio Martinez de Aguiar / Banca: Marcelo de Oliveira Terra Cunha / Resumo: Quando temos sistemas quânticos sem análogo clássico a descrição de Weyl- Wigner, para o espaço de fase quântico, não pode ser utilizada, pois a mesma não representa graus de liberdade associados a grandezas discretas. Um exemplo desses sistemas são os estados emaranhados bipartites de spin 1/2. Para tal, se faz necessária a descrição de um espaço de fase quântico discreto e de dimensão finita. Nessa descrição é possível se obter a caracterização do emaranhamento, bem como quantificar o grau dessas correlações entre os sub sistemas; além do que, há a possibilidade de calcular a evolução temporal nessa descrição, tanto para o sistema como um todo quanto para o emaranhamento / Abstract: For quantum systems without classical analog the Weyl-Wigner description associated to quantum phase space can not be used, since it does not represent degrees of freedom associated with discrete quantities. An example of these systems are spin 1/2 bipartite entangled states. For them, it is needed a discrete quantum phase space description which have nite dimension. In this description, it is possible to obtain entanglement characterization, and to quantify the correlation degree between the subsystems; there is also the possibility of calculating the time evolution, in this description, both for the system as a whole as well as for the entanglement / Mestre