A description of several experiments carried out to study the existence of evanescent waves behind totally reflecting dielectric surfaces is given in this thesis. Chapter I describes the experimental apparatus used to generate and measure the electromagnetic radiation. A detailed description of the construction of the radiating horns used and the casting of a plastic prism is also given. Chapters II and III give the results of two experiments in the region behind a totally reflecting face of the plastic prism and similar effects noted behind a lucite semicylinder with its plane face towards the source of radiation. Near field diffraction patterns of this cylinder with its plane face towards the source, away from the source, and parallel to the axis of radiation are also given. The above three cases are compared with results obtained by coating the semicylinder with aluminum foil. / Thesis / Master of Science (MSc)

Condition monitoring (CM) of electrical equipment is an important field in electrical engineering and a considerable amount of research is dedicated to this field. Power cables are one of the most important parts of any electrical network and the variety of techniques available for CM of electrical cables is therefore no surprise. Electrical cables are exposed to operational and environmental stressors which will cause degradation of the insulation material. The degradation will continue to the point where the cable fails. Blackouts caused by failing cables will have an effect on the safety, efficiency and production of an electrical network. It is therefore important to constantly monitor the condition of electrical cables, in order to prevent the premature failure of cables. The research presented in this dissertation sets out to investigate CM techniques for power cables and to design and implement a basic cable CM technique based on the principles of partial discharge (PD) measurements. A comprehensive literature study introduces the fundamental concepts regarding the CM of power cables. The basic construction of electrical cables, as well as the variety of different types is researched in order to lay a foundation for the research that follow. CM techniques for electrical equipment are investigated, with the emphasis on techniques used on cables. Conducted research led to the decision to focus on CM by means of PD measurements. PD as a phenomenon is investigated to be able to better understand the origins and effects of discharge activity. From there the focus shifts to the available techniques for monitoring the condition of electrical cables by means of PD measurements. The research conducted in the literature study chapter forms the basis from which the rest of the study is conducted. Simulation models were used to study PD characteristics. The models are derived from engineering and mathematical principles and are based on the well-known three-capacitor model of PD. The simulations were performed in order to study the effects of discharge activity. The designed simulation models allows for a variety of PD characteristics to be studied. The simulations were performed in the MATLAB® Simulink® environment. The research conducted in the dissertation was used to design an elementary CM technique which can be used to detect the presence of PD within electrical cables. The designed CM technique was used for the practical measurement of PD data. MATLAB® programs were designed in order to analyse the PD data in both the time- and frequency-domain. The analysis of the measured data revealed PD characteristics of the test specimen used for the measurements. The designed CM is used for the detection of PD activity within electrical cables and in combination with other techniques, may be used for complete CM of electrical cables. The experimental setup which was used to take practical PD measurements adds another dimension to the work presented in this dissertation. / MIng (Electrical and Electronic Engineering), North-West University, Potchefstroom Campus, 2015

Condition monitoring (CM) of electrical equipment is an important field in electrical engineering and a considerable amount of research is dedicated to this field. Power cables are one of the most important parts of any electrical network and the variety of techniques available for CM of electrical cables is therefore no surprise. Electrical cables are exposed to operational and environmental stressors which will cause degradation of the insulation material. The degradation will continue to the point where the cable fails. Blackouts caused by failing cables will have an effect on the safety, efficiency and production of an electrical network. It is therefore important to constantly monitor the condition of electrical cables, in order to prevent the premature failure of cables. The research presented in this dissertation sets out to investigate CM techniques for power cables and to design and implement a basic cable CM technique based on the principles of partial discharge (PD) measurements. A comprehensive literature study introduces the fundamental concepts regarding the CM of power cables. The basic construction of electrical cables, as well as the variety of different types is researched in order to lay a foundation for the research that follow. CM techniques for electrical equipment are investigated, with the emphasis on techniques used on cables. Conducted research led to the decision to focus on CM by means of PD measurements. PD as a phenomenon is investigated to be able to better understand the origins and effects of discharge activity. From there the focus shifts to the available techniques for monitoring the condition of electrical cables by means of PD measurements. The research conducted in the literature study chapter forms the basis from which the rest of the study is conducted. Simulation models were used to study PD characteristics. The models are derived from engineering and mathematical principles and are based on the well-known three-capacitor model of PD. The simulations were performed in order to study the effects of discharge activity. The designed simulation models allows for a variety of PD characteristics to be studied. The simulations were performed in the MATLAB® Simulink® environment. The research conducted in the dissertation was used to design an elementary CM technique which can be used to detect the presence of PD within electrical cables. The designed CM technique was used for the practical measurement of PD data. MATLAB® programs were designed in order to analyse the PD data in both the time- and frequency-domain. The analysis of the measured data revealed PD characteristics of the test specimen used for the measurements. The designed CM is used for the detection of PD activity within electrical cables and in combination with other techniques, may be used for complete CM of electrical cables. The experimental setup which was used to take practical PD measurements adds another dimension to the work presented in this dissertation. / MIng (Electrical and Electronic Engineering), North-West University, Potchefstroom Campus, 2015

Perfectionism has been seen to predict treatment outcome and symptom severity in clinically relevant diagnoses such as depression and anxiety disorders. It has also been suggested to be a transdiagnostic phenomenon. The aim of this study was to investigate, for the first time, predictors of change in Internet-based cognitive behaviour therapy for perfectionism. The chosen predictors were perfectionism severity, comorbid diagnosis and degree of self-compassion. The study was a part of the Devin-project; a randomized controlled trial with 150 participants that were allocated to active treatment (N=73) or a waitlist condition (N=77). Multiple linear regression analysis was used for the analyses. Variables chosen a priori did not significantly predict the treatment outcome (R2=.10, p = .099). A post hoc-analysis showed that perfectionism severity, as measured with CPQ, predicted symptom change after treatment (B = .783, β = .56 p < .001). The results indicate that perfectionism severity doesn’t impair the treatment effects and that the treatment is effective, independent of comorbid diagnoses. Self-compassion was investigated on an explorative basis but the results can indicate that the variable is not a risk factor nor a protective factor for perfectionism. As Devin is the largest randomized controlled study of internet-based cognitive behaviour therapy for perfectionism to date, this study generates important implications and suggestions for future research. / Devin

It has become clear in recent years that the study of interacting/merging galaxies plays an important role in understanding important astrophysical phenomena. This thesis presents an observational study of interacting/merging galaxies at radio frequencies. The observations have been carried out at extremely high resolution using very long baseline interferometry. The observations described here include: (1) A study of the high velocity Hi absorption associated with the peculiar galaxy NGC 1275; (2) A study of the radio continuum and Hi absorption of the ULIRG IRAS 172080014; (3) A study of the radio continuum and Hi absorption of the LIRG NGC 7674. Some of the most prominent results of these observations include: Detection of several narrow Hi absorption features in the high velocity system associated with NGC 1275. These Hi absorption lines were observed toward the strong radio nucleus 3C 84. The results indicate the existence of several Hi clouds with velocity differences and widths similar to those seen in Galactic neutral hydrogen absorption and similar to some of the Hi absorption seen in the Large Magellanic Cloud. The discovery of an extreme nuclear starburst region in the advanced merger system IRAS 172080014. Our results suggest a star formation rate of 84 M yr-1, and a supernova rate of 4 yr-1. Hi absorption is detected in multiple components with optical depths ranging between 0.3 and 2.5, and velocity widths between 58 and 232 km s-1. The detection of complex jet structures in the inner 1 kpc region of the galaxy NGC 7674. At full resolution, several compact sources are observed with brightness temperatures on the order of 107 K. While it is possible that one of these compact structures could host an AGN, they could also be shock-like features formed by the interaction of the jet with compact interstellar clouds in the nuclear region of this galaxy. At least eight Hi absorption lines are detected toward some of the continuum emission regions in NGC 7674. If the widest Hi feature in our observations is rotationally broadened by a central supermassive black hole, the implied dynamical mass is about 107 M.

À partir du théorème d’André en 1998, qui est la première contribution non triviale à la conjecture de André-Oort sur les sous-variétés spéciales des variétés de Shimura, la principale problématique de cette thèse est d’étudier les propriétés diophantiennes des modules singuliers, en caractérisant les points de multiplication complexe (x; y) satisfaisant un type d’équation donné de la forme F(x; y) = 0, pour un polynôme irréductible F(X; Y ) à coefficients complexes. Plus spécifiquement, nous traitons deux équations impliquant des puissances de modules singuliers. D’une part, nous montrons que deux modules singuliers x; y tels que les nombres 1, xm et yn soient linéairement dépendants sur Q, pour des entiers strictement positifs m; n, doivent être de degré au plus 2, ce qui généralise un résultat d’Allombert, Bilu et Pizarro-Madariaga, qui ont étudié les points de multiplication complexe appartenant aux droites de C2 définies sur Q. D’autre part, nous montrons que, sauf cas “évidents”, le produit de n’importe quelles puissances entières de deux modules singuliers ne peut être un nombre rationnel non nul, ce qui généralise un résultat de Bilu, Luca et Pizarro- Madariaga, qui ont ont étudié les points de multiplication complexe appartenant aux hyperboles xy = A, où A 2 Qx. Les méthodes que nous développons reposent en grande partie sur les propriétés des corps de classes engendrés par les modules singuliers, les estimations de la fonction j-invariant et les estimations des formes linéaires logarithmiques. Nous déterminons également les corps engendrés par les sommes et les produits de deux modules singuliers x et y : nous montrons que le corps Q(x; y) est engendré par la somme x + y, à moins que x et y soient conjugués sur Q, auquel cas x + y engendre un sous-corps de degré au plus 2 ; le même résultat demeure pour le produit xy. Nos preuves sont assistées par le logiciel PARI/GP, que nous utilisons pour procéder à des vérifications dans des cas particuliers explicites. / Starting for André’s Theorem in 1998, which is the first non-trivial contribution to the celebrated André-Oort conjecture on the special subvarieties of Shimura varieties, the main purpose of this thesis is to study Diophantine properties of singular moduli, by characterizing CM-points (x; y) satisfying a given type of equation of the form F(x; y) = 0, for an irreducible polynomial F(X; Y ) with complex coefficients. More specifically, we treat two different equations involving powers of singular moduli. On the one hand, we show that two distinct singular moduli x; y such that the numbers 1, xm and yn are linearly dependent over Q, for some positive integers m; n, must be of degree at most 2. This partially generalizes a result of Allombert, Bilu and Pizarro-Madariaga, who studied CM-points belonging to straight lines in C2 defined over Q. On the other hand, we show that, with “obvious” exceptions, the product of any two powers of singular moduli cannot be a non-zero rational number. This generalizes a result of Bilu, Luca and Pizarro-Madariaga, who studied CM-points belonging to hyperbolas xy = A, where A 2 Qx. The methods we develop lie mainly on the properties of ring class fields generated by singular moduli, on estimations of the j-function and on estimations of linear forms in logarithms. We also determine fields generated by sums and products of two singular moduli x and y : we show that the field Q(x; y) is generated by the sum x + y, unless x and y are conjugate over Q, in which case x + y generate a subfield of degree at most 2 ; the same holds for the product xy. Our proofs are assisted by the PARI/GP package, which we use to proceed to verifications in particular explicit cases.

Nous démontrons une version pour la caractéristique p d'un cas spécial de la conjecture d'André-Oort. Plus précisement, soit Z le produit de n courbes modulaires de Drinfeld, et soit X une sous-variété algébrique irréductible de Z. Alors nous démontrons que X contient un ensemble Zariski-dense de points CM (c.a.d. points correspondant aux n-uples de A-modules de Drinfeld de rang 2 avec mulitplications complexes, où A=F_q[T], et q est une puissance d'un nombre prémier impair) si et seulement si X est une sous-variété dite modulaire. Notre approche répose sur une approche (en caractéristique 0) due à Edixhoven.

The advanced fuels investigated in this thesis comprise fuels non− conventional in their design/form (TRISO), their composition (high content of plutonium and minor actinides) or their use in a reactor type, in which they have not been used before (e.g. nitride fuel in BWR). These fuels come with a promise of improved characteristics such as safe, high temperature operation, spent fuel transmutation or fuel cycle extension, for which reasons their potentialis worth assessment and investigation. Their possible use also brings about various challenges, out of which some were addressed in this thesis. TRISO particle fuels with their superior retention abilities enable safe, high−temperature operation. Their combination with molten salt in the Advanced High Temperature Reactor (AHTR) concept moreover promises high operating temperature at low pressure, but it requires a careful selection of the cooling salt and the TRISO dimensions to achieve adequate safety characteristic, incl. a negative feedback to voiding. We show that an AHTR cooled with FLiBe may safely operate with both Pu oxide and enriched U oxide fuels. Pu and Minor Actinides (MA) bearing fuels may be used in BWR for transmutation through multirecycling; however, the allowable amounts of Pu and MA are limited due to the degraded feedback to voiding or low reactivity.We showed that the main positive contribution to the void effect in the fuelswith Pu and MA content of around 11 to 15% consist of the decreased thermalcapture probability in Pu-240, Pu-239 and Am-241 and increased fast and resonance fission probability of U-238, Pu239 and Pu-240. The total void worthmoreover increases during multirecycling, limiting the allowable amount ofMA to 2.45% in uranium−based fuels. An alternative, thorium−based fuel allows for 3.45% MA without entering the positive voiding regime at any point of the multirecycling. The increased alpha−heating associated with the use of transmutation fuels, is at level 24−31 W/kgFUEL in the uranium based fuels and 32−37 W/kgFUEL in the thorium−based configurations. The maximum value of the neutron emission, reached in the last cycle, is 1.7·106 n/s/g and 2·106 n/s/g for uranium and for thorium−based fuels, respectively. Replacing the standard UO2 fuel with higher−uranium density UN orUNZrO2 fuels in BWR shows potential for an increase of the in-core fuelresidence time by about 1.4 year. This implies 1.4% higher availability of the plant. With the nitride fuels, the total void worth increases and the efficiency of the control rods and burnable poison deteriorates, but no major neutronics issue has been identified. The use of nitride fuels in the BWR environment is conditioned by their stability in hot steam. Possible methods for stabilizing nitride fuels in water and steam at 300◦ C were suggested in a recent patentapplication. / <p>QC 20121004</p>

Collaborative project delivery methods are believed to contribute to faster completions times, lower overall project costs and higher quality. Contracts are expected to influence the degree of collaboration on a given project since they allow or restrict certain lines of communication in the decision making process. Various delivery systems rank differently on the spectrum of collaboration. Because collaborative project delivery methods require owners and AEC stakeholders to meet frequently early in the delivery process, they are thought to add additional upfront costs to the project. The purpose of this study is to test if collaborative project delivery methods impart enough value so that the upfront cost incurred at the beginning of project is eventually surpassed by realized savings. Ideally, the extreme forms of project delivery methods, that is, Integrated Project Delivery (IPD) and Design-Bid-Build (DBB), should be compared to test the effects of collaboration on benefits to the owner. Due to difficulty in obtaining data on IPD and similarly scaled DBB projects, for this study, their close cousins, CM-at-Risk (CMR) and Competitive Sealed Proposal (CSP) were compared. The study engaged statistical comparison of cost of change orders and overall project cost performance of 17 CMR and 13 CSP projects of similar scales by same owner. Project cost performance observed under CMR projects was found significantly more than those under CSP. This study is expected to help boost confidence in the benefits of collaborative project delivery methods. It is likely that the results will encourage acceptance of IPD for public projects. Owners who were previously discouraged by the increased upfront cost of collaborative projects may also find interest in the results of this study.

En la tesis es resolt la conjectura del nombre de Tamagawa en dues situacions: per a corbes el.líptiques E+ definides sobre Q amb multiplicació complexa donada per un cos imaginari quadràtic K, i per a caràcters de Hecke Ak--K*. / In the thesis we solve the Tamagawa number conjecture in two situations: for elliptic cuves E+ with complex multiplication an imaginary quadratic field K, where we impose that E+ is defined over Q, and for Hecke characters of the form, Ak--K*.