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The mathematical model of the operating mechanism for turbochargers
Jakubec, Ján ; Porteš, Petr (referee) ; Zháňal, Lubor (advisor)
The Diploma Thesis is focused to create the mathematical model of operating kinematic model for turbocharger DAVNT (Double Axle Variable Nozzle Turbine) for setting the position of vanes. The work contains a brief overview of supercharge and types of turbochargers. The main part contains a mathematical model which examines the behavior of the mechanism with considering of wear among the parts. It also includes assessment of changing in various parts of the nodes caused by mechanism wear and their influence on the mechanism due to important parameters which characterizes the mechanism. The evaluation is completed by optimizing the parameters. The final section contains the static calculation of internal forces and assessment of actuator position relative to mechanism load.
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Design of planar electromagnetic generator for sea drifter
Almáši, Matej ; Rubeš, Ondřej (referee) ; Hadaš, Zdeněk (advisor)
Unfixed buoys are an important part of sea and sea current monitoring. It is important that these buoys display a great amount of self-sufficiency. Electronic components of the buoy are conventionally powered by batteries, however there is an attempt to replace them with more self-sufficient sources that utilize energy from sea waves. For this purpose, so called “energy harvesters” that utilize electro-mechanic conversion are being developed. This thesis is focused on raising the power output of an energy harvester that is currently being developed at the FME BUT by finding the ideal parameters of the generating coil. An electro-mechanic model was developed which was then utilized to perform a sensitivity analysis. The result of the analysis was a set of coil parameters that resulted in the greatest power output. Subsequently, a coil prototype was manufactured, and the power output was measured experimentally. The root mean square value of the generated power was PRMS = 152.7 µW, which less than expected by the used model, however the coil winding didn’t fill up the space dedicated to it to the expected degree.
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Design of planar electromagnetic generator for sea drifter
Almáši, Matej ; Rubeš, Ondřej (referee) ; Hadaš, Zdeněk (advisor)
Unfixed buoys are an important part of sea and sea current monitoring. It is important that these buoys display a great amount of self-sufficiency. Electronic components of the buoy are conventionally powered by batteries, however there is an attempt to replace them with more self-sufficient sources that utilize energy from sea waves. For this purpose, so called “energy harvesters” that utilize electro-mechanic conversion are being developed. This thesis is focused on raising the power output of an energy harvester that is currently being developed at the FME BUT by finding the ideal parameters of the generating coil. An electro-mechanic model was developed which was then utilized to perform a sensitivity analysis. The result of the analysis was a set of coil parameters that resulted in the greatest power output. Subsequently, a coil prototype was manufactured, and the power output was measured experimentally. The root mean square value of the generated power was PRMS = 152.7 µW, which less than expected by the used model, however the coil winding didn’t fill up the space dedicated to it to the expected degree.
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Analysis of portfolio optimization models with probability constraints
Kaľatová, Monika ; Kopa, Miloš (advisor) ; Lachout, Petr (referee)
K ú ové slová: optimalizácia portfólia, pravdepodobnostné obmedzenie, anal˝za citlivosti Title: Analysis of portfolio optimization models with probability constraints Author: Monika Ka atová Department: Department of Probability and Mathematical Statistics Supervisor: doc. RNDr. Ing. Miloö Kopa, Ph.D., Department of Probability and Mathematical Statistics Abstract: This thesis focuses on analysis of optimization problems with proba- bility constraints which are used in the portfolio theory. Firstly, the notion of probability constraint, fundamental to this thesis, is established. Afterwards, we present assumptions describing situations, in which the feasible set with probabi- lity constraint is convex. We focus mainly on Telser's and Kataoka's models with individual probability constraint. Furthermore, we derive both of these models using the assumption of a given probabilistic distribution. In the empirical part Telser's and Kataoka's models are applied to financial data obtained from the Prague Stock Exchange. Keywords: portfolio optimization, chance constraints, sensitivity analysis iii
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The mathematical model of the operating mechanism for turbochargers
Jakubec, Ján ; Porteš, Petr (referee) ; Zháňal, Lubor (advisor)
The Diploma Thesis is focused to create the mathematical model of operating kinematic model for turbocharger DAVNT (Double Axle Variable Nozzle Turbine) for setting the position of vanes. The work contains a brief overview of supercharge and types of turbochargers. The main part contains a mathematical model which examines the behavior of the mechanism with considering of wear among the parts. It also includes assessment of changing in various parts of the nodes caused by mechanism wear and their influence on the mechanism due to important parameters which characterizes the mechanism. The evaluation is completed by optimizing the parameters. The final section contains the static calculation of internal forces and assessment of actuator position relative to mechanism load.
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