## Circuit Theory I

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Course Unit Code Number of ECTS Credits Allocated Type of Course Unit * Level of Course Unit * Year of Study * 420-2016/02 8 ECTS credits Compulsory First Cycle First Year Winter Semester Face-to-face Czech, English There are no prerequisites or co-requisites for this course unit IVA10 doc. Ing. Lubomír Ivánek, CSc. ZAJ02 Ing. Stanislav Zajaczek, Ph.D. The course "Circuit theory I" deals with the analysis of the electrical circuits - the most typical structure in the electrical engineering. Electrical circuits knowledge are basic knowledge and they are a prerequisite for advanced circuit courses (electronic, measuring and control systems, electrical machines, etc.). The basic aim is to determine voltages and currents in the electrical circuit, and then identify (from these knowledge) the properties of the circuit or system. Theses: elementary models of electromagnetic effects, circuit analysis algorithms, transients in the linear circuits (the 1. order), experimental measurements (Associate professor Josef Punčochář). The aim of education is give creative lessons in physical laws and principles to analysis of three-phase circuit, transient phenomena, two-port network, frequency response and distributed lines. After education student is able to calculated current, voltage, power and energy in circuit anyplace and then on the basis of them look on properties of electrical device. Student practices obtained knowledge and acquirements energetically. Lectures: Introduction to the subject. Definition of basic concepts. • Thevenin`s and Norton`s theorem. Superposition principle. • Circuit analysis in harmonic steady state. • Circuit topology. Kirchhoff`s laws. Analysis of composit electrical circuits. • Circuit analysis by means of section voltage method and loop current method. Reciprocity and compensation principles. • Resonance, quality factor, frequecy bandwidth. Immittance functions. • Inductive coupling, mutual induktance. Elementry models of transformer. • Analysis of circuit with non-linear elements. Determination of linearized differential and difference parameters. • Magnetic circuits • Aproximation of non-harmonic waves by means of Fourier`s series and time series of unit steps. • Analysis of circuit with non-harmonic waves, power, power factor. • Determination of circuit parameters and immittances of technical elements. Equivalence and duality principles. • Dielectrical circuits. • consultation Seminars: • Determination of resistances and source parameters.Current and voltage deviders. • Step by step method. Transfiguration of the D-to-Y circuit. • Superposition principle. • Phasor diagrams, power, immittances. • Section voltages method. • Loop currents method. • Determination of resonace frequency, compensation of quantity and power reactive components. • Formation of circuit equations in inductive coupling circuit. • Analysis of circuit with non-linear elements. • Superposition of elementary analog functions. • Superposition of unit steps. • Analysis of circuit with non-harmonic waves. • Calculation of powers and immittances in circuit with non-harmonic waves. • Analysis of dielectrical circuits. Laboratory works: • Knowledge test. • Calculation of quantity root-mean-squar values, powers, and woks by means of scalar product of current and voltage. • Measurement of source parameters. • Verification of Thevenin`s and Norton`s theorems. • Verification of computational method, compensation and reciprocitz principles. • Measurement of devices with non-linear characteristics • Measurement of quantities in series connection of coil and condensator. • Measurement of quantities in circuits with series end paralel resonance. Calculation of quality factor. • Determination of inductive coupling parameters. • Modelling of quantities by means of goniometrical functions. • Modelling of quantities by means of unit steps. • Measurement of non-harmonic quantities in elementary circuits. • Determination of circuit parameters by means of measured instantaneous values current and voltage. • Conferment of credit. Semester projekt: • 1st Circuit analysis by means of section voltage method and loop current method. Proofs: 1st Knowledge test. 2nd Circut analysis by means of superposition principle. 3th Analysis of elementary circuit in harmonic steady state. Mikulec, M.: Basic Circuit Theory I.,ČVUT 1995 Mikulec, M., Havlíček, V.: Basic Circuit Theory II.ČVUT 1996 Havlíček, V.-Čmejla, R.: Basic Circuit Theory I. (Exercises ), ČVUT 1996 Huelsman, P.L.: Basic Circuit Theory. Prentice-Hall International, 1991, ISBN 0-13-063157-4 Mikulec, M., Havlíček,V.: Základy teorie elektrických obvodů I., II. ČVUT Praha 2004 Kijonka, J. a kol.: Studijní opory předmětu Teorie obvodů I. VŠB TU Ostrava, 2006 Mikulec, M.: Basic Circuit Theory I.,ČVUT 1995 Mikulec, M., Havlíček, V.: Basic Circuit Theory II.ČVUT 1996 Havlíček, V.-Čmejla, R.: Basic Circuit Theory I. (Exercises ), ČVUT 1996 Huelsman, P.L.: Basic Circuit Theory. Prentice-Hall International, 1991, ISBN 0-13-063157-4 Mayer, D.: Úvod do teorie elektrických obvodů. Celostátní učebnice SNTL/ALFA Praha 1998 Mikulec, M.: Basic Circuit Theory I.,ČVUT 1995 Mikulec, M., Havlíček, V.: Basic Circuit Theory II.ČVUT 1996 Havlíček, V.-Čmejla, R.: Basic Circuit Theory I. (Exercises ), ČVUT 1996 Huelsman, P.L.: Basic Circuit Theory. Prentice-Hall International, 1991, ISBN 0-13-063157-4 Lectures, Individual consultations, Tutorials, Experimental work in labs, Project work Exercises evaluation and Examination Credit and Examination 100 (100) 51 Exercises evaluation Credit 45 3 Examination Examination 55 6