Electric circuits - modelling and analysis

The course aims to give the student tools and understanding for modelling, analysis and operation of electrical circuits as part of a larger sustainable energy system. The subject focuses on methods for the analysis of non-direct current (DC) circuits, with particular focus on alternating current (AC) circuits including magnetically coupled circuits and transformers. Additionally, AC circuit concepts such as active and reactive power, resonances, phasors, balanced three-phase circuits, etc. will be introduced. The subject covers basic regulation in electrical systems, with examples from power electronics and simple motor control.

Items in the subject:

• Alternating current and voltage under stationary sinusoidal conditions. Impedance, complex power, apparent power, active power, reactive power. Instantaneous values, RMS values, frequency and phase. Phasor representation.
• Introduction to frequency response methods. Analysis of circuits in the frequency domain. Active and passive filters.
• Circuits with magnetic coupling and ideal transformers. Mutual inductance.
• Basic three-phase systems. IT, TT and TN grid.
• Analogies to, as well as application of, the circuit concept and analysis techniques to other physical domains.
• Basic regulation in electrical systems.
• Equilibrium Analysis (and step response) and PI(D) regulators.
• Hand calculation and simulation/calculation using digital tools (e.g.: Matlab and Simulink).
• Group work and practical laboratory work.
• Presentation Skills

Some adjustments to the theme and content may occur, and more detailed information about the syllabus will be made available at the start of the semester

The student must:

• Expand modeling and analysis of a selection of circuits, and basic techniques for controlling electrical circuits.
• Practice safety measures in the lab, make physical circuit connections and perform troubleshooting, be aware of precision and limitations in measuring instruments.

The student must be able to:

• Use network theorems, component characteristics and fundamental laws in electrical circuit theory to calculate parameters in systems with a selection of components.
• Calculate current, voltage and power in single- phase and three-phase circuits under stationary sinusoidal conditions; In the time domain and the frequency domain.
• Carry out system analyzes using hand calculations and simulations, as well as practical connection and measurement in the lab.
• Connect simple circuits according to given specifications. Measure electrical values using a multimeter and oscilloscope.
• Dimensioning/designing a selection of circuits.
• Carry out and report group work/laboratory work in technical reports.

After completing the course, the candidate has the general competence to:

1. Use basic laws and analysis methods from this subject in later parts of the candidate's studies and in work situations.
2. Know Norwegian and English technical terms for methods/techniques, components/ parameters , measuring units etc.
3. Use a simulation tool for the analysis of simple energy systems.
4. Follow safety instructions for laboratory work.
5. Report laboratory work.

The learning activities will be a combination of lectures and student-centered learning activities.

Obligatory activites: Laboratory work and exercises.

Some of the teaching activities will be taught in English.