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Course Detail

Course Name Mathematical Modelling Of Energy Systems
Course Code 25PR744
Program M. Tech. in Power & Energy Engineering(Smart Grids & Electric Vehicles) (For working professionals and regular students)
Credits 3
Campus Amritapuri

Objectives and Outcomes

Course Outcome

CO1 Illustrate the need for mathematical models and various model examples.
CO2 Apply various techniques for power flow modelling.
CO3 Illustrate modelling methods for renewable energy systems, HVDC and STATCOM.
CO4 Analyze the effect of uncertainty and to develop various energy probabilistic models.
CO5 Develop solutions for differential modelling methods in standard test systems.

Course Articulation Matrix: Correlation level [ 1: low, 2: medium, 3: High]

PO PO1 PO2 PO3 PSO1 PSO2
CO
CO1 1 1
CO2 2 2
CO3 2 2
CO4 2 2
CO5 2

Energy system modelling: background, motivations, modelling physical systems, time scales of power system dynamics, energy system architecture, energy system scripting, Synchronous machine modelling. Analysis of energy systems: power flow analysis, modelling and solution by Newton Raphson method, continuation power flow analysis, modelling, and solution by homotopy methods, optimal power flow analysis, modelling, and solution by gradient method. Modelling of Renewable Energy: operation of PV & Wind energy systems, frequency impact& voltage analysis, modelling of solid oxide fuel cell and battery energy storage. Modelling of HVDC transmission system and voltage source converter, modelling of STATCOM and analysis. Dealing with uncertainty and probabilistic techniques: uncertainty power flow analysis and probabilistic optimal power flow analysis. Case studies of various analyses on standard IEEE test system.

Text Books / References

  1. Federico Milano, Power System Modelling and Scripting, Springer Science & Business Media, 2010.
  2. L.P. Singh, Advanced Power System Analysis and Dynamics, New Age International, 2012.
  3. Subhes C. Bhattacharyya, Energy Economics: Concepts, Issues, Markets and Governance, Springer Science & Business Media, 2019.
  4. Jizhong Zhu, Optimization of Power System Operation, IEEE Press Series on Power Engineering, John Wiley & Sons, 2016.
  5. S. S. Rao, Engineering Optimization: Theory and Practice, John Wiley and Sons, 2019.

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