Back close

Course Detail

Course Name Solar Energy Utilisation
Course Code 18PR710
Program M. Tech. in Power & Energy Engineering(Smart Grids & Electric Vehicles)
Year Taught 2018


Course Syllabus

Solution of equations and Eigen value problems: linear interpolation methods, method of false position, Newton’s method, statement of fixed point theorem, fixed point iteration, solution of linear system by Gaussian elimination, LU decomposition and partial pivoting, Gauss-Jordon method and iterative methods, inverse of a matrix by Gauss Jordon method, Eigen value of a matrix by power method.

Simulation/case study in short circuit analysis.

Initial value problems for ordinary differential equations: single step methods, Taylor series method, Euler and modified Euler methods. fourth order Runge – Kutta method for solving first and second order equations, Simulation/case study in transient stability analysis, midterm stability analysis, etc.

Linear programming: Formulation, graphical and simplex methods, Big-M method.

Regression & interpolation: linear least squares regression, functional and nonlinear regression, Simulation/case study in state estimation, optimal power flow, etc.

Unconstrained one dimensional optimization techniques: Necessary and sufficient conditions.

Unrestricted search methods: quadratic interpolation methods, cubic interpolation and direct root methods.

Unconstrained n-dimensional optimization techniques: Direct search methods, random search, descent methods, steepest descent, conjugate gradient, Simulation.

Constrained optimization techniques: necessary and sufficient conditions, equality and inequality constraints, Kuhn-Tucker conditions, penalty function method.

Simulation/Case study in economic operation of power systems. Dynamic programming, principle of optimality, recursive equation approach, application to shortest route, cargo-loading, allocation and production schedule problems, Simulation/case study in transmission system expansion.

Practice session: Simulation and coding of different computational methods as mentioned above.

Text Books / References

  • Fox R. L., “Optimization Methods for Engineering Design”, Addition Wesley, 1971.
  • S. S. Rao, “Engineering Optimisation Theory and Practice”, John Wiley and Sons, 2009.
  • Taha H. A., “Operations Research – An Introduction”, Prentice Hall of India, Eighth Edition, 2008.
  • Gerald C. F. and Wheatley P. O, “Applied Numerical Analysis”, Sixth Edition, Pearson Education Asia, New Delhi, 2002.
  • Fausett L. V. “Applied Numerical Analysis using MATLAB” Pearson Education Second Edition..
  • S.A. Soman, S.A. Khaparde, Shubha Pandit, ” Computational Methods for Large Sparse Power Systems Analysis: An Object Oriented Approach Power Electronics and PowerSystems”, Springer Science & Business Media, 2012.
  • Mariesa L. Crow, “Computational Methods for Electric Power Systems”, CRC Press, 2015.


‘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.

DISCLAIMER: The appearance of external links on this web site does not constitute endorsement by the School of Biotechnology/Amrita Vishwa Vidyapeetham or the information, products or services contained therein. For other than authorized activities, the Amrita Vishwa Vidyapeetham does not exercise any editorial control over the information you may find at these locations. These links are provided consistent with the stated purpose of this web site.

Admissions Apply Now