Circuit Theory, Advanced Course

Aim

The course will give the student knowledge in methods for the analysis of linear electric circuits in the time and frequency domains. After the course the students should be able to

• apply the complex phasor method for calculations related to and analysis of the behaviour of single- and three-phase linear electric AC circuits
• apply Fourier series, Fourier and Laplace transforms for calculations related to and analysis of the behaviour of linear electric circuits in the time and the frequency domain
• use Matlab and Simulink for the analysis and modelling of linear electric circuits
• investigate the function in the time and frequency domain of linear electric circuits with experimental methods
• integrate and be ably to critically compare different methods for the analysis of linear electric circuits in the time and frequency domains Course content Single phase and three phase AC. The application of Fourier series, Fourier and Laplace transforms to the theory of linear electric circuits. Stationary and transient response. Periodic and non-periodic phenomena. Circuit analysis using Matlab and Simulink. Experimental methods and modelling. System analysis and properties of systems. Time continous signals and systems. The representation of electric circuits and signals in the time and frequency domains. Transfer function. Poles and zeros and pole-zero diagrams. Amplitude and phase charecteristics. Bode diagrams. Teaching and working methods Lectures and integrated labs and problem solving lessons Examination LAB1Laboratory work2 creditsU, GTEN1Written examination2 creditsU, 3, 4, 5Grades for examination modules are decided in accordance with the assessment criteria presented at the start of the course. Grades Four-grade scale, LiU, U, 3, 4, 5 Other information About teaching and examination languageThe teaching language is presented in the Overview tab for each course. The examination language relates to the teaching language as follows: If teaching language is “Swedish”, the course as a whole could be given in Swedish, or partly in English. Examination language is Swedish, but parts of the examination can be in English.If teaching language is “English”, the course as a whole is taught in English. Examination language is English.If teaching language is “Swedish/English”, the course as a whole will be taught in English if students without prior knowledge of the Swedish language participate. Examination language is Swedish or English depending on teaching language.OtherThe course is conducted in such a way that there are equal opportunities with regard to sex, transgender identity or expression, ethnicity, religion or other belief, disability, sexual orientation and age.The planning and implementation of a course should correspond to the course syllabus. The course evaluation should therefore be conducted with the course syllabus as a starting point. The course is campus-based at the location specified for the course, unless otherwise stated under “Teaching and working methods”. Please note, in a campus-based course occasional remote sessions could be included. Department Institutionen för teknik och naturvetenskap Course literature CompendiaJonte Bernhard, Kretsteori, fördjupning

Content

Single phase and three phase AC. The application of Fourier series, Fourier and Laplace transforms to the theory of linear electric circuits. Stationary and transient response. Periodic and non-periodic phenomena. Circuit analysis using Matlab and Simulink. Experimental methods and modelling. System analysis and properties of systems. Time continous signals and systems. The representation of electric circuits and signals in the time and frequency domains. Transfer function. Poles and zeros and pole-zero diagrams. Amplitude and phase charecteristics. Bode diagrams.