# Coursebooks

## Principles of power systems

Paolone Mario

English

#### Summary

The course provides the fundamental concepts to model power systems and understand their operation.

#### Content

Introduction to power systems

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

Elements of transmission lines for the transportation of electricity

• Transmission lines modeling in the frequency domain
• Expressions of electrical power flows in transmission lines
• Numerical simulation of transmission lines

Fundamentals of electrical machines

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

The load flow problem

• From the physical network to the admittance matrix (nodal analysis in steady state conditions)
• Problem formulation in cartesian and polar coordinates
• Numerical solution of the load flow problem
• Applications of the load flow problem to real cases

Frequency regulation in power systems

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

Study of unbalanced three-phase power systems

• Symmetrical components
• Decomposition of a three phase system via the symmetrical components
• Conservation of power in the phase and symmetrical components domains
• Applications of symmetrical components

#### Keywords

Power systems, modeling, transmission lines, electrical machines, load flow, frequency control, unbalanced power systems.

#### Learning Prerequisites

##### Required courses

Fundamentals of electrical circuits and systems

##### Important concepts to start the course

Modeling of electrical circuits and steady state signals. Numerical analysis of non-linear problems.

#### Learning Outcomes

By the end of the course, the student must be able to:
• Model Power systems component
• Conduct Simulations of power systems in steady state and dynamic conditions

#### Teaching methods

Ex-cattedra, exercises and numerical simulations using dedicated software environments.

#### Assessment methods

Written exam at the end of the semester.

#### Resources

##### Notes/Handbook

Notes and exercises are made avaialble on Moodle during the course.

### Reference week

MoTuWeThFr
8-9
9-10
10-11
11-12
12-13
13-14
14-15
15-16
16-17
17-18
18-19
19-20
20-21
21-22
Under construction

Lecture
Exercise, TP
Project, other

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• Autumn semester
• Winter sessions
• Spring semester
• Summer sessions
• Lecture in French
• Lecture in English
• Lecture in German