Numerical Methods in Electric Power Systems

Course Description

Advanced topics in load flow analysis, fast decoupled load flow, DC model. Parameter estimation for power systems. Dispatching analysis. Load modelling. Networks calculations. Numerical methods with large sparse matrices. Computer methods in Power systems supervision. Load flow program design. Short Circuit program design.

General Competencies

Student will gain advanced knowledge of electric power system analysis as well as gain experience with power system models and analysis software.

Learning Outcomes

  1. describe the procedure of determining the state vector of electrical power system
  2. explain mathematical procedures of power flow and short circuit calculation
  3. apply the state vector of electrical power system
  4. analyze electrical circumstances in the electric power system
  5. plan the power system operation
  6. estimate the power system security

Forms of Teaching


Lectrures are given with the use of powerpoint presentations published on the web pages. The lectures are organized through 2 cycles. The first cycle consists of 7 weeks of lectures and 1st midter. Second cycle has 6 weeks of lectures and final exam. The lectures are given in total of 13 weeks, two hours per week.


midterm, final exam and oral exam

Laboratory Work

6 laboratory exercises


Consultation term is determined on the first lecture in agreement with the students.

Structural Exercises

design and comparison of differnt power-flow solution methods



Grading Method

Continuous Assessment Exam
Type Threshold Percent of Grade Threshold Percent of Grade
Homeworks 50 % 20 % 50 % 20 %
Mid Term Exam: Written 34 % 30 % 0 %
Final Exam: Written 34 % 30 %
Final Exam: Oral 20 %
Exam: Written 50 % 40 %
Exam: Oral 40 %

Week by Week Schedule

  1. Advanced topics in load flow analysis.
  2. Decoupled load flow.
  3. Fast decoupled load flow.
  4. Simplified models, DC model.
  5. Parameter estimation for power systems.
  6. Load modelling.
  7. Networks calculations.
  8. Numerical methods with large sparse matrices.
  9. Symmetrical linear system solvers.
  10. Dispatching analysis.
  11. Computer methods in Power systems supervision.
  12. Data supervision and acquisition.
  13. Real time network modelling.
  14. Load flow program design.
  15. Short Circuit program design.

Study Programmes

University graduate
Electrical Power Engineering (profile)
Specialization Course (3. semester)


Glenn W. Stagg, Ahmed H. El-Abiad (1968.), Computer methods in power system analysis, McGraw-Hill
Jos Arrillaga, C. P. Arnold (1990.), Computer Analysis of Power Systems, Wiley
Atif S. Debs (1988.), Modern Power System Control and Operation, Springer

For students


ID 34487
  Winter semester
L3 English Level
L2 e-Learning
30 Lectures
0 Exercises
0 Laboratory exercises
0 Project laboratory

Grading System

90 Excellent
80 Very Good
70 Good
60 Acceptable