Acquiring knowledge and preparing students for further implementation and practical work in the field of mathematical modelling, in the domain of energy systems.

The acquired knowledge is used in the process of further education. During vocational courses, and future engineering practice, students will use techniques of mathematical modelling and simulation in the domain of energy systems.

General system theory (development, structure and system types, system and environment, system characteristics, principles of systematic approach). Tasks of analysis and synthesis of energy systems - ES (elements and connection of ES, interactions between ES and environment, classification and properties of ES, ES hierarchy); Criteria of ES efficiency, limitations in ES design and operation; Methods of analysis and synthesis of ES, (block schemes, mirroring the physical to the mathematical model, mathematical model recording method, black box method, objective function, connection equations, limitation system, determination of optimal parameters). Mathematical models of ES (mathematical model classification: functional diagram, structural block scheme, operational and technological scheme, block and graphs models, schematic, parametric and matrix display), Mathematical models (record, steady and unsteady state of the system, the degrees number of freedom of the system, determination of the number of state parameters of ES); Mathematical models assembly methods (static and dynamic models); Theoretical methods of mathematical models assembly (application of the law of conservation of mass, the law of conservation of energy, the law of conservation of momentum); Block-diagram method and informational variables method; Experimental methods for mathematical models assembly (active, passive, adaptation and combined); Adequacy of mathematical models (distributed and concentrated parameters); Examples of mathematical models and simulations in ES (processes of the first and second order). Commercial software application on complex energy systems.

Lectures, auditory and computer exercises, consultations. On computer exercises students are solving examples from auditory exercises by using MATLAB and SIMULINK software. Chapters from teaching material that makes logical unit may be taken in the form of two colloquiums. Each colloquium consists of an oral part and tasks which must be done in writing during the semester. Course can be taken in a written and oral form during the exam period. The exam grade is based on the full student’s engagement during the semester, the results of colloquiums and/or exam.