Courses

Engineering > Electrical Engineering


Course
Mathematical Problems of Electric Power Systems
Lecturer
Jurazoda Shohin
University
Tajik Technical University named after academician M.S. Osimi
Period
Spring 2026
Language
Tajik

Keyword

Syllabus

The course "Mathematical Problems in Power Engineering" serves as a vital link between theoretical mathematics and practical electrical engineering. It focuses on applying advanced analytical methods to model, simulate, and optimize complex power systems. Students explore the mathematical foundations of power flow analysis, state estimation, and the optimization of energy generation and distribution. In the era of "Smart Grids" and the rapid integration of renewable energy sources, these mathematical tools are indispensable. They allow engineers to ensure system stability, reliability, and economic efficiency in an increasingly unpredictable environment. We study this subject to transform physical energy challenges into solvable algorithmic tasks. Technical Resources: Most industry-leading software (like MATLAB, ETAP, or DigSILENT) and international IEEE standards are documented in English. Career Opportunities: Proficiency in technical English enables graduates to participate in international projects and succeed in the global labor market.

No. File Download
1 3.Syllabus_Jurazoda.pdf Download

Courses List

No. Course Format File Date
1 Week 1. Introduction. General information on equivalent circuits. 2026-06-17
2 Week 2. Definition of equivalent circuits for individual power system elements. 2026-06-17
3 Week 3. Elements of graph theory. Connection matrices and basic matrices of equivalent circuits. 2026-06-17
4 Week 4. Formulation of matrix state equations for electrical circuits. 2026-06-17
5 Week 5. Steady-state equations of power systems. Nodal equations. 2026-06-17
6 Week 6. Loop (Mesh) equations. 2026-06-17
7 Week 7. Transformed forms of state equations. 2026-06-17
8 Week 8. Methods for solving linear steady-state equations in power systems. Exact solution methods. 2026-06-17
9 Week 9. Solving state equations using iterative methods. Simple iteration method. 2026-06-17
10 Week 10. Gauss-Seidel method. 2026-06-17
11 Week 11. Methods for solving non-linear steady-state equations in power systems. 2026-06-17
12 Week 12. Technical and mathematical formulation of steady-state calculation problems. 2026-06-17
13 Week 13. Basic concepts of probability theory applications in power engineering problems. 2026-06-17
14 Week 14. Mathematical models for studying transient processes in electrical systems. 2026-06-17
15 Week 15. Mathematical tools for steady-state stability analysis. 2026-06-17
16 Week 16. Analysis of transient stability in electrical systems. 2026-06-17

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