The present dissertation consists of four interconnected projects. In the first, we introduce and study what we call factorizable module algebras. These are $U_q(\mathfrak{g})$-module algebras $A$ which factor, potentially after localization, as the tensor product of the subalgebra $A^+$ of highest weight vectors of $A$ and a copy of the quantum coordinate algebra $\mathcal{A}_q[U]$, where $U$ is a maximal unipotent subgroup of $G$, a semisimple Lie group whose Lie algebra is $\mathfrak{g}$. The class of factorizable module algebras is surprisingly rich, in particular including the quantum coordinate algebras $\mathcal{A}_q[Mat_{m,n}]$, $\mathcal{A}_q[G]$ and $\mathcal{A}_q[G/U]$. It is closed under the braided tensor product and, moreover, the subalgebra $A^+$ of each such $A$ is naturally a module algebra over the quantization of $\mathfrak{g}^*$, the Lie algebra of the Poisson dual group $G^*$. The aforementioned examples of factorizable module algebras all possess dual canonical bases which behave nicely with respect to factorization $A=A^+\otimes \mathcal{A}_q[U]$. We expect the same is true for many other members of this class, including braided tensor products of such. To facilitate such a construction in tensor products, we propose an axiomatic framework of based modules which, in particular, vastly generalizes Lusztig's notion of based modules. We argue that all of the aforementioned $U_q(\mathfrak{g})$-module algebras (and many others) with their dual canonical bases are included, along with their tensor products. One of the central objects of study emerging from our generalization of Lusztig's based modules is a new (very canonical) basis $\mathcal{B}^{\diamond n}$ in the $n$-th braided tensor power $\mathcal{A}_q[G/U]$. We argue (yet conjecturally) that $\mathcal{A}_q[G/U]^{\underline{\otimes}n}$ has a quantum cluster structure and conjecture that the expected cluster structure structure on $\mathcal{A}_q[G/U]^{\underline{\otimes}n}$ is completely controlled by the real elements of our canonical basis $\mathcal{B}^{\diamond n}$. Finally, in order to partially explain the monoidal structures appearing above, we provide an axiomatic framework to construct examples of bialgebroids of Sweedler type. In particular, we describe a bialgebroid structure on $\mathfrak{u}_q(\mathfrak{g})\rtimes\mathbb{Q} C_2$, where $\mathfrak{u}_q(\mathfrak{g})$ is the small quantum group and $C_2$ is the cyclic group of order two. This dissertation contains previously published co-authored material.

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The aim of this diploma thesis is to analyze issues that come with the development of Moodle LMS modules. The theoretical part is devoted to the research of Moodle 2.0 programming framework capabilities, followed by the methodology of creating modules based on this platform. The verification of methodology is provided in the practical part by the development of a specific module, along with the effective installation of Moodle 2.0 LMS and documentation, that describes its functionality, installation procedure, critical points and a test of portability between other versions of this system.

abstract: As residential photovoltaic (PV) systems become more and more common and widespread, their system architectures are being developed to maximize power extraction while keeping the cost of associated electronics to a minimum. An architecture that has become popular in recent years is the "DC optimizer" architecture, wherein one DC-DC converter is connected to the output of each PV module. The DC optimizer architecture has the advantage of performing maximum power-point tracking (MPPT) at the module level, without the high cost of using an inverter on each module (the "microinverter" architecture). This work details the design of a proposed DC optimizer. The design incorporates a series-input parallel-output topology to implement MPPT at the sub-module level. This topology has some advantages over the more common series-output DC optimizer, including relaxed requirements for the system's inverter. An autonomous control scheme is proposed for the series-connected converters, so that no external control signals are needed for the system to operate, other than sunlight. The DC optimizer in this work is designed with an emphasis on efficiency, and to that end it uses GaN FETs and an active clamp technique to reduce switching and conduction losses. As with any parallel-output converter, phase interleaving is essential to minimize output RMS current losses. This work proposes a novel phase-locked loop (PLL) technique to achieve interleaving among the series-input converters. / Dissertation/Thesis / Masters Thesis Electrical Engineering 2014

abstract: This is a two-part thesis: Part 1 of this thesis tests and validates the methodology and mathematical models of the International Electrotechnical Commission (IEC) 61853-2 standard for the measurement of angle of incidence (AOI) effects on photovoltaic modules. Flat-plate photovoltaic modules in the field operate under a wide range of environmental conditions. The purpose of IEC 61853-2 is to characterize photovoltaic modules' performance under specific environmental conditions. Part 1 of this report focuses specifically on AOI. To accurately test and validate IEC 61853-2 standard for measuring AOI, meticulous experimental setup and test procedures were followed. Modules of five different photovoltaic technology types with glass superstrates were tested. Test results show practically identical relative light transmission plots for all five test modules. The experimental results were compared to theoretical and empirical models for relative light transmission of air-glass interface. IEC 61853-2 states "for the flat glass superstrate modules, the AOI test does not need to be performed; rather, the data of a flat glass air interface can be used." The results obtained in this thesis validate this statement. This work was performed in collaboration with another Master of Science student (Surynarayana Janakeeraman) and the test results are presented in two masters theses. Part 2 of this thesis is to develop non-intrusive techniques to accurately measure the quantum efficiency (QE) of a single-junction crystalline silicon cell within a commercial module. This thesis will describe in detail all the equipment and conditions necessary to measure QE and discuss the factors which may influence this measurement. The ability to utilize a non-intrusive test to measure quantum efficiency of a cell within a module is extremely beneficial for reliability testing of commercial modules. Detailed methodologies for this innovative test procedure are not widely available in industry because equipment and measurement techniques have not been explored extensively. This paper will provide a literature review describing relevant theories and measurement techniques related to measuring the QE of a cell within a module. The testing methodology and necessary equipment will be described in detail. Results and conclusions provide the overall accuracy of the measurements and discuss the parameters affecting these measurements. / Dissertation/Thesis / M.S.Tech Technology 2013

Abstract To realize faster and more precise treatment of patients, CT technology has an urgent demand to make the CT detector arrays larger, and to cover a larger section of the body during one scan of X-ray imaging. A novel detector micro-module is developed in this thesis to meet this demand. In the novel detector micro-module, photocurrent signals are read out from the bottom side of the photodiode array chip. By avoiding the use of the top surface of the chip for routeing, as is the case in conventional CT modules, rectangular detector building blocks containing a certain number of detector elements can be produced. By tiling such building blocks in both x- and y-directions in a plane, detector arrays with any number of detector elements (in multiples of the number in a single building block) can be built. This cannot be achievable by the conventional method. The novel detector micro-module developed in this thesis consists of an array of 16×16 active elements, and the size of the array is 21×21mm2. The array of detector elements is soldered to a multilayer LTCC (low temperature co-fired ceramics) substrate via a BGA (ball grid array) with each element soldered onto one solder sphere, from which photocurrent signals are read out. In this thesis, the working principle and the evolution of CT detector modules are reviewed and the necessity of developing the novel detector modules is justified. The concept and the structure of the novel detector micro-module are presented. The thermo-mechanical stress modeling and simulation of the structure is performed. The design and the process technology of the photodiode array for the novel detector micro-modules are discussed. The electronic characteristics of the novel detector micro-modules and the related front-end electronics are theoretically analyzed. The LTCC multi-layer substrate is developed. The assembly process of the novel detector micro-module is developed. The basic detector characteristics and light response measurement results of the novel micro-module are presented and discussed. By improving the photodiode silicon process technology, a dark current density as low as 33pA/cm2 is achieved. Excellent mechanical accuracy is achieved with the LTCC substrate. The dimensional tolerance is +/-10μm and the flatness value is less than 50μm over a distance of a 30.5mm distance. A 64-slice detector module is produced successfully by tiling several novel micro-modules. The novel detector micro-modules are superior to conventional CT modules on many respects while being tileable. Their light sensitivity curve is smoother. They exhibit extremely low signal cross-talk; They have nearly zero wiring capacitance compared to up to 20pF in commercial CT detector modules. They also have almost zero wiring resistance compared to tens of ohm or more than one hundred ohms in the present products. This result will have a significant impact on CT technology and the CT industry because the detector will be no longer the limiting factor in CT system performance.

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Goal of this thesis is to specify needed upgrades of current aparatus used for measuring parameters of thermoelectic modules, witch was constructed at the Enegry institute of Faculty of Mechanical Engineering, Brno University of Technology. In this theseis current state of aparatus where reviewed and specifications for updates where made. These specifications where used to create plans for new aparatus. Quality of designed aparatus where verified by simulations made in ANSYS. Plans for proposed aparatus where made.

The main goal of this master's thesis was development of Burp Suite extension capable of interacting with various other automated tools, accompanied with development of a web application. Chapter two contains analysis of tools commonly used in penetration testing that could benefit from the ability to share Burp Suites data or functionality. The programming languages used were Java and JavaScript. The extension acts as a gateway to inner functionality of Burp Suite. It enables exfiltration of in memory objects such as sitemap, proxy history or found issues in JSON format to other tools, and also listens for incoming data that can be inserted into it's existing modules such as Repeater, Scanner, Spider or Comparer. Frontend application was written using JavaScript library React. The web application offers a graphical visualization of issue data.

The main topics of the thesis are luminaries based on LED technology and methods for driving them. The aim of theoretical part is to offer basic knowledge about LEDs, their categories, advantages and disadvantages. The basic methods for driving LED modules are also presented. Based on these facts the design of LED switching power supply for street lighting is presented. The aim is to reach high power factor. The function of the devices is presented by examining parts of the power supply.