Mathematic Applications

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Electrical Power Engineering

Synopsis:

The aim of the course is to obtain knowledge about mathematic programs used in power engineering. Student becomes acquainted with technical methods for gathering and data analysis, SW and HW hierarchy of resources and applications examples. Student will acquire basic knowledge about MATLAB, MATHEMATICA and mathematical model assessment. Student becomes also acquainted with the fields of complex variable function and numerical methods for solving algebraic and differential equations.

Requirements:

Requirements to obtain the assessment are exercises attendance and a term thesis elaborating.

Successful exam passing is determined in the Study and Examination Code of CTU in Prague.

Syllabus of lectures:

1. Introduction to the complex variable function.

2. Integral transform, Laplace transform for linear systems description.

3. Possibilities of application computing methods in Power Engineering.

4. Creating mathematical models of technical systems.

5. Application of computing methods in Power Engineering.

6. Potential of MATLAB and Mathematica, selection criteria.

7. Mathematica for simple calculus.

8. Mathematica as programming language.

9. Data processing in Mathematica.

10. Power engineering models implementation in Mathematice.

11. Creating simple programs in MATLAB.

12. Using libraries at MATLAB.

13. Simulink and its usage.

14. Energetic system models in Simulink.

Syllabus of tutorials:

1. Mathematica: basic syntax.

2. Mathematica: solving equations and equation systems, electric circuits solution examples.

3. Mathematica: Plot, ListPlot, Plot3D.

4. Mathematica: List, Rule, ReplaceAll.

5. Mathematica: DSolve a NDSolve, transient phenomena.

6. Mathematica: Fit a NonlinearFit, regression examples of physics dependencies.

7. Mathematica: Nest, NestList, NestWhileList, numeric methods for differential equations.

8. Mathematica: Module, NMinimize, optimalization examples in power engineering systems.

9. MATLAB: basics, syntax, matrix operations.

10. MATLAB: functions, graphic output.

11. MATLAB: ODE.

12. MATLAB Simulink: examples of power engineering systems simulations.

13. MATLAB Simulink: Toolboxes pro power engineering.

14. MATLAB Simulink: Toolboxes pro power engineering.

Study Objective:

Study materials:

Study materials are available at www.powerwiki.cz.

Note:

Further information:

http://www.powerwiki.cz/wiki/Vyuka

No time-table has been prepared for this course

The course is a part of the following study plans: