Course detail

Mathematical Modelling of Electrical Power Systems

FEKT-DKA-EE1Acad. year: 2023/2024

Methods of mathematical modelling and calculation of state electrical power systems.
Steady state and transients.
Power system control
FACTS – flexible control of power systems.

Guarantor

prof. Ing. Petr Toman, Ph.D.

Department

Department of Electrical Power Engineering (UEEN)

Learning outcomes of the course unit

The basic knowledges of methods for steady and transients calculation in power systems.

Prerequisites

Not applicable.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Literature

Wood. A.J., Wollenberg, B.F., Sheblé, G.B. Power Generation, Operation, and Control, 3rd Edition, Willey 2013, 656p., ISBN: 978-0-471-79055-6 (EN)
Eremia, m., Shahidehpour, M. Handbook of Electrical Power System Dynamics: Modeling, Stability, and Control, Willey 2013, 976p. ISBN: 978-1-118-51606-5 (EN)
Haginomori, E., Koshiduka, T., Arai, J., Ikeda, H. Power System Transient Analysis: Theory and Practice using Simulation Programs (ATP-EMTP), Willey 2016, 280p., ISBN: 978-1-118-73745-3 (EN)
Sun, K., Hou, Y., Sun, W., Qi, J. Power System Control Under Cascading Failures: Understanding, Mitigation, and System Restoration, Willey 2018, 432p., ISBN: 978-1-119-28206-8 (EN)
Eremia, M., Liu Ch., Edris, A. Advanced Solutions in Power Systems: HVDC, FACTS, and Artificial Intelligence, Willey, 2016, 1072p., ISBN: 978-1-119-17535-3 (EN)
Sauer, P.W., Pai, M.A., Chow, J.H. Power System Dynamics and Stability: With Synchrophasor Measurement and Power System Toolbox, 2nd Edition, Willey 2017, 376p., ISBN: 978-1-119-35574-8 (EN)
Momoh, J.A. Energy Processing and Smart Grid, Willey 2018, ISBN: 978-1-119-37623-1 (EN)

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

Subject is finished with examination.

Language of instruction

English

Work placements

Not applicable.

Course curriculum

1. Mathematical modelling of electrical power systems - introduction.
2. Interconnected power systems, power exchange schedules.
3. The methods of load flow calculations for power systems analysis.
4. Three-phase load flow of unbalanced power systems using multiports.
5. Fault system studies of short circuits currents.
6. Simultaneous faults calculation.
7. Power system stability.
8. Electromagnetical transients. Linear equivalent derived from the trapezoidal rule.
9. Calculation tools (PSCAD, EMTP-ATP, Matlab Simulink).
10. Frequency and power flow control.
11. Voltage and reactive power flow control.
12. Flexible AC transmission systems (FACTS).
13. Optimisation and security assessment of the power systems.

Aims

To obtain extended knowledge of mathematical modelling and calculation of electroenergetics systems.

Classification of course in study plans

  • Programme DKA-KAM Doctoral, any year of study, winter semester, 4 credits, compulsory-optional
  • Programme DKA-EKT Doctoral, any year of study, winter semester, 4 credits, compulsory-optional
  • Programme DKA-MET Doctoral, any year of study, winter semester, 4 credits, compulsory-optional
  • Programme DKA-SEE Doctoral, any year of study, winter semester, 4 credits, compulsory-optional
  • Programme DKA-TLI Doctoral, any year of study, winter semester, 4 credits, compulsory-optional
  • Programme DKA-TEE Doctoral, any year of study, winter semester, 4 credits, compulsory-optional

Type of course unit

 

Guided consultation

39 hours, optionally

Teacher / Lecturer

prof. Ing. Petr Toman, Ph.D.