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Fault relevance diagnostics of the PMSM under the inter-turn short circuit fault
Zezula, Lukáš ; Václavek, Pavel (referee) ; Blaha, Petr (advisor)
Tato práce popisuje matematické modelování mezizávitových zkratů fázového vinutí synchronního motoru s permanentními magnety, diskretizaci odvozeného modelu a diagnostiku závažnosti zkratu založenou na referenčním modelu. Popis zkratovaného stroje je vytvořen v proměnných statoru s uvažováním sérioparalelního zapojení vinutí a následně transformován do referenčního rámce rotoru pomocí rozšířené Clarkové a Parkovy transformační matice. Diskrétní ekvivalent navrženého modelu je vytvořen pomocí definované diskretizace lineárních časově variantních systémů, přičemž je uvažováno, že elektrická úhlová rychlost je časově variantní parametr s definovaným integrálem. Diskrétní model je transformován do referenčního rámce statoru, aby se maximalizovala perzistence vstupních signálů. Diagnostika závažnosti zkratu je poté realizována pomocí rekurzivního parametrického odhadu diskrétního modelu. Jedna z kapitol je věnována i popisu řídicího systému, neboť zkraty mohou ovlivnit stavové proměnné různým způsobem v závislosti na architektuře a volbě parametrů řídicího systému. Za každou kapitolou následuje experimentální ověření prezentovaných myšlenek.
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Mathematical Analysis of Captured Network Traffic
Soós, Tibor ; Koutný, Martin (referee) ; Hošek, Jiří (advisor)
This thesis is considering with network traffic analysis and prediction of real networks default services. The first part of this paper is containing the theoretical explanation of the mathematical model’s needs. These models are mainly used as a part of simulation algorithms which are describing the processes of network traffic simulations. The second part is describing the process how to apply the models to mathematically analyze the captured traffic. The capture is including all kind of packet types which can appear on the real network. At the last part of the thesis is described the detailed design of the prediction algorithm’s which are developed in programing language of Matlab® Mathworks®.
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Fault relevance diagnostics of the PMSM under the inter-turn short circuit fault
Zezula, Lukáš ; Václavek, Pavel (referee) ; Blaha, Petr (advisor)
Tato práce popisuje matematické modelování mezizávitových zkratů fázového vinutí synchronního motoru s permanentními magnety, diskretizaci odvozeného modelu a diagnostiku závažnosti zkratu založenou na referenčním modelu. Popis zkratovaného stroje je vytvořen v proměnných statoru s uvažováním sérioparalelního zapojení vinutí a následně transformován do referenčního rámce rotoru pomocí rozšířené Clarkové a Parkovy transformační matice. Diskrétní ekvivalent navrženého modelu je vytvořen pomocí definované diskretizace lineárních časově variantních systémů, přičemž je uvažováno, že elektrická úhlová rychlost je časově variantní parametr s definovaným integrálem. Diskrétní model je transformován do referenčního rámce statoru, aby se maximalizovala perzistence vstupních signálů. Diagnostika závažnosti zkratu je poté realizována pomocí rekurzivního parametrického odhadu diskrétního modelu. Jedna z kapitol je věnována i popisu řídicího systému, neboť zkraty mohou ovlivnit stavové proměnné různým způsobem v závislosti na architektuře a volbě parametrů řídicího systému. Za každou kapitolou následuje experimentální ověření prezentovaných myšlenek.
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Mathematical analysis and computer simulations of deformation of nonlinear elastic bodies in the small strain range
Kulvait, Vojtěch ; Málek, Josef (advisor)
Title: Mathematical analysis and computer simulations of deformation of nonlinear elastic bodies in the small strain range. Author: Vojtěch Kulvait Department: Mathematical Institute of Charles University Supervisor: prof. RNDr. Josef Málek, CSc., Dsc. Abstract: Implicit constitutive theory provides a suitable theoretical framework for elastic materials that exhibit a nonlinear relationship between strain and stress in the range of small strains. We study a class of power-law models, where the nonlinear dependence of strain on the deviatoric part of the stress tensor and its trace are mutually separated. We show that these power-law models are capable to describe the response of a wide variety of beta phase titanium alloys in the small strain range and that these models fit available experimental data exceedingly well. We also develop a mathematical theory regarding the well-posedness of boundary value problems for the considered class of power-law solids. In particular, we prove the existence of weak solutions for power law exponents in the range (1, ∞). Finally, we perform computer simulations for these problems in the anti-plane stress setting focusing on the V-notch type geometry. We study the dependence of solutions on the values of power law exponents and on the V-notch opening angle. We achieve...
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Mathematical analysis and computer simulations of deformation of nonlinear elastic bodies in the small strain range
Kulvait, Vojtěch ; Málek, Josef (advisor)
Title: Mathematical analysis and computer simulations of deformation of nonlinear elastic bodies in the small strain range. Author: Vojtěch Kulvait Department: Mathematical Institute of Charles University Supervisor: prof. RNDr. Josef Málek, CSc., Dsc. Abstract: Implicit constitutive theory provides a suitable theoretical framework for elastic materials that exhibit a nonlinear relationship between strain and stress in the range of small strains. We study a class of power-law models, where the nonlinear dependence of strain on the deviatoric part of the stress tensor and its trace are mutually separated. We show that these power-law models are capable to describe the response of a wide variety of beta phase titanium alloys in the small strain range and that these models fit available experimental data exceedingly well. We also develop a mathematical theory regarding the well-posedness of boundary value problems for the considered class of power-law solids. In particular, we prove the existence of weak solutions for power law exponents in the range (1, ∞). Finally, we perform computer simulations for these problems in the anti-plane stress setting focusing on the V-notch type geometry. We study the dependence of solutions on the values of power law exponents and on the V-notch opening angle. We achieve...
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Mathematical analysis and computer simulations of deformation of nonlinear elastic bodies in the small strain range.
Kulvait, Vojtěch ; Málek, Josef (advisor) ; Kovtunenko, Victor A. (referee) ; Kružík, Martin (referee)
Title: Mathematical analysis and computer simulations of deformation of nonlinear elastic bodies in the small strain range. Author: Vojtěch Kulvait Department: Mathematical Institute of Charles University Supervisor: prof. RNDr. Josef Málek, CSc., Dsc. Abstract: Implicit constitutive theory provides a suitable theoretical framework for elastic materials that exhibit a nonlinear relationship between strain and stress in the range of small strains. We study a class of power-law models, where the nonlinear dependence of strain on the deviatoric part of the stress tensor and its trace are mutually separated. We show that these power-law models are capable to describe the response of a wide variety of beta phase titanium alloys in the small strain range and that these models fit available experimental data exceedingly well. We also develop a mathematical theory regarding the well-posedness of boundary value problems for the considered class of power-law solids. In particular, we prove the existence of weak solutions for power law exponents in the range (1, ∞). Finally, we perform computer simulations for these problems in the anti-plane stress setting focusing on the V-notch type geometry. We study the dependence of solutions on the values of power law exponents and on the V-notch opening angle. We achieve...
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Tests from the introductory course Calculus
JELÍNKOVÁ, Michaela
The aim of this thesis is to didactically properly assemble a set of exercises and tests form the field of Mathematical Analysis. Examples will be based on themes: real-valued functions of a real variable and its properties, limits and continuity of a function, derivative of a function and course of a function. Moodle software will be used to randomly generate specific tests in a way that from each set will be generated certain number of exercises. In addition to the test assignments this thesis will include their detailed solutions. This thesis will work as an individual preparation for the exam in mathematical analysis or the exam itself.
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Mathematical Analysis of Captured Network Traffic
Soós, Tibor ; Koutný, Martin (referee) ; Hošek, Jiří (advisor)
This thesis is considering with network traffic analysis and prediction of real networks default services. The first part of this paper is containing the theoretical explanation of the mathematical model’s needs. These models are mainly used as a part of simulation algorithms which are describing the processes of network traffic simulations. The second part is describing the process how to apply the models to mathematically analyze the captured traffic. The capture is including all kind of packet types which can appear on the real network. At the last part of the thesis is described the detailed design of the prediction algorithm’s which are developed in programing language of Matlab® Mathworks®.
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Migrace v hl. m. Praze v letech 2001 až 2011
Český statistický úřad
Migration development regarding the Capital in previous ten years. It relates to publication "Migration in Prague 2001 - 2007". The publication contains detailed data on migration moves within Prague, moves relating to other regions of the Czech Republic and international migration. Publication includes graphs and cartograms.
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