EE-362 / 5 credits

Teacher: Paolone Mario

Language: English

## Summary

The course provides the fundamental concepts to model power systems, understand their operation and design/coordinate some of its main components.

## Content

1. Introduction to power systems

• Structure of power systems
• Classification as a function of the rated voltage

2. Recall of fundamental principles for the analysis of AC circuits and systems

• Recall of fundamentals aspects for the study of AC circuits: phasors, instantaneous powers, AC powers
• Recall of fundamentals aspects for the study of AC three phase circuits
• Study of unsymmetrical three phase circuits: the symmetrical component analysis

3. Elements of transmission lines for the transportation of electricity

• Derivation of transmission lines equations from electromagnetic field theory
• Transmission lines modeling
• Expressions of electrical power flows in AC transmission lines
• Numerical simulation of transmission lines
• Heat balance of overhead transmission lines and cables
• Design principles of transmission lines and cables

4. Fundamentals of electrical machines

• Magnetic circuits and operation of transformers
• Transformers equivalent circuits and parameters derivation
• Rotating synchronous machines: operation and equivalent circuit

5. The power flow problem

• From the physical network to the admittance matrix (nodal analysis in steady state conditions)
• Formulation of the power flow problem in cartesian and polar coordinates
• Numerical solution of the power flow problem
• Applications of the power flow to analyse the behaviour of power systems

6. Short circuit analysis and protections

• Electromagnetic transients associated to short circuits
• Breakers characteristics and their selection
• Computation of symmetrical and unsymmetrical short circuit currents using the symemtrical components analysis
• Protections against short circuits and relays coordination
• Short circuit behaviour of systems with grounded/ungroudned neutral
• Protections of systems with grounded/ungroudned neutral

7. Frequency regulation in power systems

• Power balance and frequency in power systems
• Primary frequency control
• Secondary frequency control
• Dynamic simulation of power systems

## Keywords

Power systems, transmission lines, power flow analysis, symmetrical components analysis, admittance matrix calculus, short circuit analysis, protections and relaying, power systems dynamics, frequency control.

## Required courses

Electrical circuits and systems, fundamental of signal processing.

## Learning Outcomes

By the end of the course, the student must be able to:

• Assess / Evaluate the behavior of power systems
• Design parts of power systems and/or sub-systems
• Develop models of power systems in steady state
• Develop models of power systems in transient conditions
• Analyze the static and dynamic behavior of power systems
• Produce models of power systems
• Justify power systems design choices

## Teaching methods

Ex cattedra lectures, numnerical excercices and simulations on dedicated software.

## Expected student activities

Students are expected to attend lectures, participate in exercise sessions (which include numerical exercises and simulations using dedicated software), and complete tests throughout the semester.

## Assessment methods

The course grade is based on tests conducted during the semester and a final exam.

Yes

## Prerequisite for

EE-472 Smart grids technologies

## In the programs

• Semester: Fall
• Exam form: During the semester (winter session)
• Subject examined: Power systems analysis
• Lecture: 3 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: optional
• Semester: Fall
• Exam form: During the semester (winter session)
• Subject examined: Power systems analysis
• Lecture: 3 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: optional
• Semester: Fall
• Exam form: During the semester (winter session)
• Subject examined: Power systems analysis
• Lecture: 3 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: optional

## Reference week

Monday, 8h - 10h: Exercise, TP INJ218

Thursday, 9h - 12h: Lecture INF119

## Related courses

Results from graphsearch.epfl.ch.