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Electronic Circuits Simulations and Parasitic Inductances
Ševčík, Roman ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
This work deals with the solution of differential equations and systems of differential equations through the use of parasitic inductances. Thus obtained equations serve as input data for the simulation tool TKSL, which allows their solutions using the Taylor series. Furthermore, according to the proposal in C# is implemented a system for graphic display output data from TKSL. The system makes it possible to view trending as a continuous two-dimensional graphs.
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Definite Integrals in Maple, Matlab and TKSL
Barták, Jaroslav ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
This thesis discourses different types of definite integrals calculations, applying Maple, Matlab and TKSL software. Additionally, the thesis compares above software in terms of usability of calculated results of each program. For verification of calculations and comparison of different interpretations, there are examples of source code attached. By virtue of this files it is possible to revise the calculations of definite integrals and compare complexity of its record. Finally, the paper also compares above programs considering their user-friendliness.
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Electric Circuits Simulations
Šulc, Jiří ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
The aim of this bachelor's thesis was the design of elementary graphic computational editor in which quality schema designs of electrical circuits can be created easily and fast. The application is further able to automatically generate the system of equations describing the designed circuit which can be used in the TKSL simulation system for displaying of the solutions. The application is designed for student's use in order to support the teaching of the Circuit Theory. The bachelor's thesis further deals with the problem solving of differential equations by the way of numerical integration methods with direct use of the Taylor series. The complexity of the analytical and numerical algorithm of the differential equations in solving electrical circuits is analyzed on the examples.
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Algebraic Equations Calculations
Kuchařová, Eva ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
This work investigates the solution of linear algebraic equations by a conversion to the system of differential equations. Moreover, several more frequently used methods are described in addition. The theoretical part of work describes the mathematical. Next, the examples of using the Matlab a TKSL programs are presented to show and compare the results of calculations. The source codes used are included. The work proves that the solution of algebraic equations by the conversion to the system of differential equations is applicable and further solved by the Euler's method. The parallel solution is also described. As the output of this work, the lin2dif program was developed. It realizes the conversion among the systems of equations. Finally, the description of the work progress, design, implementation and usage of the program are summarized.
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Algebraic Equations Solution Convergence
Sehnalová, Pavla ; Šátek, Václav (referee) ; Kunovský, Jiří (advisor)
The work describes techniques for solving systems of linear and differential equations. It explains the definition of conversion from system of linear to system of differential equations. The method of the elementary transmission and the transform algorithm are presented. Both of methods are demonstrated on simply examples and properties of conversion are shown. The work compares fast and accurate solutions of methods and algorithm. For computing examples and solving experiments following programs were used: TKSL and TKSL/C. The program TKSL/C was enriched with the graphic user interface which makes the conversion of systems and computing results easier.
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Real Time Dynamic System Control
Adamík, Pavel ; Kaluža, Vlastimil (referee) ; Kunovský, Jiří (advisor)
This thesis focuses on the methodology of controlling dynamic systems in real time. It contents a review of the control theory basis and the elementary base of regulators construction. Then the list of matemathic formulaes follows as well as the math basis for the system simulations using a difeerential count and the problem of difeerential equations solving. Furthermore, there is a systematic approach to the design of general regulator enclosed, using modern simulation techniques. After the results confirmation in the Matlab system, the problematics of transport delay & quantization modelling follow.
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