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Optimal Modes of Power Supply Systems

Programme Summary

Major: 13.04.02 Power Industry and Electrical Engineering

Specialisation: Power Supply

Degree: Master

Course units:

Unit 1. Introduction. Basic concepts of the system analysis. Properties of power systems as large-scale systems. Ambiguity of optimization tasks. Decision-making criteria. Multiple objective optimization and expert evaluation methods.

Unit 2. Modelling of an electric power system for optimization purposes. Absolute, relative and differential indices. Elements of an optimization task.

Unit 3. Optimization of active power distribution within a power system. Lagrange multiplier method and incremental rates equality principle. Deviation analysis.

Unit 4. Optimization of active power distribution within a power system of an industrial site with in-house power plants. Application of the dynamic programming method.

Unit 5. Gradient optimization method and its application. Allowing for constraints in the form of inequations. Reduced gradient method.

Unit 6. Deciding on the best combination of running units. Cutoff efficiency criteria, incremental rate based cutoff strategy. Branch and bound method and its application when deciding on the best composition.

Unit 7. Optimized development of power systems and power networks. Static, dynamic and semidynamic production systems. Expenditure objective function. Application of the dynamic programming method when deciding on the best development plan for generating capacity and power networks.

Unit 8. Analysis of specialized articles on power systems optimization.

Unit 9. Building thermal power discharge and incremental rate curves. Calculation of the optimum active power distribution using the incremental rate method.

Unit 10. Dynamic programming used for calculation of the optimum active power distribution in power systems comprising heat-electric generating plants.

Unit 11. Choosing the best combination of running units based on cutoff efficiency criteria.

Unit 12. Application of the branch and bound method when deciding on the best combination of running units.

Unit 13. Calculation of the optimum active power distribution using the gradient method.

Unit 14. Calculation of the optimum active power distribution using the reduced gradient method and allowing for the network constraints.

Unit 15. Dynamic programming when deciding on the best power network development strategy.

Course contents:

A discipline in Optimum Modes of an Electric Power System provides a theoretical basis for long-term and medium-term planning for steady power modes based on technical and economic criteria. The course provides an insight into the mathematical modelling of power system components, power plants, and power supply systems, as well as into the mathematical optimization methods and their practical applications.

Activities:

  1. Teacher-led group activities in a classroom;
  2. Extracurricular self-study of the teacher’s assignments and tasks, including the use of educational facilities (obligatory);
  3. Office-hours.

Total hours – 180

Total points – 5

Classroom hours (lectures & practical classes) – 39

Unsupervised hours – 105

Term paper in the 2nd semester

Midterm assessment – Pass/fail examination

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