Course Title: 
Mathematical Modelling of Energy Systems
Course Code: 
Postgraduate (PG)
School of Engineering

'Mathematical Modelling of Energy Systems' is a course offered in the M. Tech. in Power & Energy Engineering program at School of Engineering, Amrita Vishwa Vidyapeetham, Amritapuri campus.

Energy system modelling: background, motivations, modelling physical systems, time scales of power system dynamics, energy system architecture, energy system scripting, python language. 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.

  • Federico Milano, “Power System Modelling and Scripting”, Springer Science & Business Media, 2010.
  • L.P. Singh, “Advanced Power System Analysis and Dynamics”, New Age International, 2012.
  • Subhes C. Bhattacharyya, “Energy Economics: Concepts, Issues, Markets and Governance”, Springer Science & Business Media, 2011.
  • Jizhong Zhu, “Optimization of Power System Operation”, IEEE Press Series on Power Engineering, John Wiley & Sons, 2016.
  • S. S. Rao, “Engineering Optimisation: Theory and Practice”, John Wiley and Sons, 2009.