Course detail

Transient Phenomena

FEKT-MPA-PRJAcad. year: 2023/2024

Methods of mathematical modelling of transient calculation. Electro-magnetic transients. Determination of characteristic values of short-circuit currents in asymmetrical failures. The ground connection in indirectly grounding systems.Electro-mechanic transients. Static and dynamic stability of synchronous machine transfer simple.

Language of instruction


Number of ECTS credits


Mode of study

Not applicable.

Entry knowledge

The subject knowledge on the Bachelor´s degree level is requested. Completion of course “Electrical Power Distribution” or “Electrical Power Production and Distribution” is an advantage.

Rules for evaluation and completion of the course

Activities during semester are evaluated up to 40 points in total (tests and individual projects).
Final exam is evaluated up to 60 points in total.

Evaluation of particular activities and conditions for course completion are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.

The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.


To make the students familiar with transient effects in power system.
Students are able to analyse electromagnetic and electromechanical transients in power systems. They can calculate characteristic values of a short-circuit current in case of both symmetrical and unsymmetrical faults. They can computationally assess small signal and transient stability in a simple system single machine – infinite bus.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Machowski J.,Bialek J.W.,Bumby J.R., Power system dynamics: stability and control,Wiley, 2008 (EN)
Kasikci I., Short Circuits in Power Systems: A Practical Guide to IEC 60909, Second edition, 2018 (EN)
Eremia, M., Shahidehpor, M., Handbook of Electrical Power System Dynamics: Modeling, Stability, and Control, 2013, ISBN: 978-1-118-49717-3 (EN)

Recommended reading

Not applicable.


Classification of course in study plans

  • Programme MPA-EEN Master's, 1. year of study, summer semester, compulsory
  • Programme MPA-EAK Master's, 1. year of study, summer semester, compulsory

Type of course unit



26 hours, optionally

Teacher / Lecturer


1) Introduction. Transients in power system (PS). Definition, classification, methods of solution. Mathematical Model (MM) of electromagnetic and electromechanical transients phenomena. The methods and assumptions of their solutions.
2) Solutions of M.M. electromagnetic transients phenomena. Equation of the time dependence of short circuit current and its components.
3) Solutions of M.M. electromechanical transients phenomena. The equation of motion of the rotor synchronous machine (SM) - swing curve. Power equation SM. Operation of power network equations. Simple transmission.
4) Diagram of power system and parameters of components for the resolution of transients. Solving asymmetric processes in the system of symmetrical impedance. Component diagrams of elements of power system. Local asymmetry and its effect on component diagrams.
5) Asymmetrical short-circuit faults. line-to-earth short circuit, line-to-line short circuit and two line-to-earth short circuit in power system. Spare-component diagrams.Phasors of component currents and phasors of short-circuit currents.
6) Comparison of the initial short-circuit current for each type of fault. Calculation of short circuit current contributions from various sources ("separation power plants").
7) Example calculation of asymmetrical short-circuit
8) Power system stability. Basic definitions. Selection of a basic circuit and define their own and transfer impedance. Infinite bus (IB). Determination of the terminal voltage at the beginning and end of a simple transfer.
9) Static stability of a simple transfer. Definition. Prerequisites of calculation. Linearization of the transition equation and the solution going by small swings. Finding stability conditions. Criteria for maintaining Static stability. Influences on stability.
10) Example calculation of static stability of power system
11) Dynamic stability of simply transfer. Definition. Prerequisites of calculation.Simple system dynamic stability - area method.
Simple system dynamic stability - gradual interval method. Numerical metod of Runge-Kutta.
12) Dynamic stability in the disconnection of parallel lines or transformers, fault occurrence, the successful and unsuccessful reclosure. Influences on stability.
13)Example calculation of dynamic stability of power system

Fundamentals seminar

27 hours, compulsory

Teacher / Lecturer


1) The calculation parameters of power system components. Parameters in physical units and relative units; Equivalent circuit of system elements (synchronous machine, transformer, power lines, reactors, hard network); self impedance nodes and mutual impedance between nodes.

2) Characteristic values and solution time behaviour of the short circuit current. Current unit method.

3) Asymmetrical short circuit currents. Types of asymmetry to appear in short-circuit faults, and their solution by using symmetrical components.Phase short circuit.

4)Asymmetrical short circuit currents. Two-phase fault. Double-phase-to-earth fault

5) TEST no.1 - Short circuit

6) Static stability of simple transmission. Calculation of load angle; Maximum transmitted power; coefficient of power reserve; assessment of static stability in the system of generator - hard network with thinking of the power take-off.

7) Static stability. Construction of the external characteristics for constant terminal voltage of alternator. Influence of resistivity on assessment of the power system stability

8) Dynamic stability of simple transmission. Area rule application during shutdown lines and 3-phase short circuit.

9) Dynamic stability. Calculation of the swing curve.

10) Dynamic stability. The course of the dynamic transition phenomenon - method of successive intervals; method of Runge-Kutta

11) TEST no.2 - Static and dynamic stability

Exercise in computer lab

12 hours, compulsory

Teacher / Lecturer


1) Calculation of short circuits in power transmission systems by using PCs.
2) Dynamic stability - Assessment of dynamic stability of the simple power system in a program MODES - Ing. Karel Máslo, CSc. ČEPS