# EG2020 Power Systems, Basic Course 7.5 credits

#### Elsystem, grundkurs

The course concerns the fundamental

models and methods utilized in power

system analysis. The generality of these

models and methods makes them

equally applicable to analysis of

small-scale industrial power systems,

local distribution grids, and national

transmission systems. The course

consists of two parts, namely:

• Static part in which symmetrical and unsymmetrial power systems as well as load flow are discussed.
• Dynamic part that concerns dynamic phenomena and various instabilities in power systems.

### Offering and execution

Course offering missing for current semester as well as for previous and coming semesters

## Course information

### Content and learning outcomes

#### Course contents *

The course is given in English, and treats models and computation methods for power systems. The models and the methods are general and can be applied to industrial power system and local distribution networks as well as to national transmission networks. In the course assignments these models and methods are applied to solve realistic problems with computer programs written in MATLAB.

The following areas are treated in the course:

Symmetrical phasors: Three-phase systems, one-phase equivalents, the per-unit system, circuit theorems, admittance matrixes, impedance matrixes, load flow analysis, models of components in power systems such as lines, generators, cables, transformers, loads etc.

Unsymmetrical phasors: Symmetrical components, calculation methods, models of transmission lines, transformers, generators etc.

Load flow analysis: Problem formulation, models, solution methods.

Power system dynamics: Stability of dynamic systems, Lyapunov functions, modeling of power system components for transient stability analysis, stability of power systems, equal area criterion, rotor angle stability, voltage stability.

#### Intended learning outcomes *

Upon completion of the course the

student will be able to

• Describe how a power system is designed and operated.
• Explain static and dynamic states in a power system.
• Explain the various causes of power system collapse.
• Create computational models for analysis of both symmetrical and unsymmetrical conditions in power systems.
• Perform load flow computations with the help of the Newton-Raphson method.
• Analyze the load flow results.
• Create computational models for analysis of power system dynamics and stability.
• Apply the theory to real-life problems.

#### Course Disposition

No information inserted

### Literature and preparations

#### Specific prerequisites *

Courses in electrical engineering 45 (HEC), courses in mathematics (including complex numbers, algebra and numerical methods) 30 (HEC), also documented proficiency in English B or equivalent.

#### Recommended prerequisites

Knowledge from the courses EJ1200 Electric Power Systems,EI1100 Electric circuit analysis, and DN1240 Numerical Methods, basic course II.

#### Equipment

No information inserted

Course compendia

### Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

A, B, C, D, E, FX, F

#### Examination *

• TEN1 - Examination, 7.5 credits, Grading scale: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

#### Other requirements for final grade *

One written examination, 7,5 cr.

#### Opportunity to complete the requirements via supplementary examination

No information inserted

#### Opportunity to raise an approved grade via renewed examination

No information inserted

#### Ethical approach *

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

### Further information

#### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web EG2020

#### Offered by

EES/Electric Power Systems

#### Main field of study *

Electrical Engineering

#### Education cycle *

Second cycle

EG 2030 Power System, advanced course