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Design and Optimization of Energy systems NPTEL

Online Free Online Course by  World Mentoring Academy
Online / Free Online Course

Details

Introduction to system design - Regression analysis and curve fitting - modeling of thermal equipment (very brief) - system simulation (successive substitution - Newton - Raphson method) - examples - economic analysis - optimization - Lagrange multipliers, search methods, linear programming, geometric programming- New generation optimization techniques - simulated annealing, Genetic Algorithms, Bayesian statistics.

Examples applied to heat transfer problems and energy systems such as gas and steam power plants, refrigeration systems, heat pumps and so on.

Resources: OpenCourseware from NPTEL (India), Sheridan College, MIT, UC Berkeley, Stanford & many other of the World's finest University's.

Language: English

Units: 40

Lesson content
  • Mod-01 Lec-01 Introduction to Optimization  
  • Mod-01 Lec-02 System Design and Analysis  
  • Mod-01 Lec-03 Workable system  
  • Mod-01 Lec-04 System simulation  
  • Mod-01 Lec-05 Information flow diagrams  
  • Mod-01 Lec-06 Successive substitution method  
  • Mod-01 Lec-07 Successive substitution method contd...  
  • Mod-01 Lec-08 Successive substitution method and Newton-Raphson method  
  • Mod-01 Lec-09 Newton-Raphson method contd...  
  • Mod-01 Lec-10 Convergence characteristics of Newton-Raphson method  
  • Mod-01 Lec-11 Newton-Raphson method for multiple variables  
  • Mod-01 Lec-12 Solution of system of linear equations  
  • Mod-01 Lec-13 Introduction to Curve fitting  
  • Mod-01 Lec-14 Example for Lagrange interpolation  
  • Mod-01 Lec-15 Lagrange interpolation contd...  
  • Mod-01 Lec-16 Best fit  
  • Mod-01 Lec-17 Least Square Regression  
  • Mod-01 Lec-18 Least Square Regression contd.....  
  • Mod-01 Lec-19 Least Square Regression contd.....  
  • Mod-01 Lec-20 Non-linear Regression (Gauss - Newton Algorithm)  
  • Mod-01 Lec-21 Optimization- Basic ideas  
  • Mod-01 Lec-22 Properties of objective function and cardinal ideas in optimization  
  • Mod-01 Lec-23 Unconstrained optimization  
  • Mod-01 Lec-24 Constrained optimization problems  
  • Mod-01 Lec-25 Mathematical proof of the Lagrange multiplier method  
  • Mod-01 Lec-26 Test for Maxima/ Minima  
  • Mod-01 Lec-27 Handling in-equality constraints  
  • Mod-01 Lec-28 Kuhn-Tucker conditions contd...  
  • Mod-01 Lec-29 Uni-modal function and search methods  
  • Mod-01 Lec-30 Dichotomous search  
  • Mod-01 Lec-31 Fibonacci search method  
  • Mod-01 Lec-32 Reduction ratio of Fibonacci search method  
  • Mod-01 Lec-33 Introduction to multi-variable optimization  
  • Mod-01 Lec-34 The Conjugate gradient method  
  • Mod-01 Lec-35 The Conjugate gradient method contd...  
  • Mod-01 Lec-36 Linear programming  
  • Mod-01 Lec-37 Dynamic programming  
  • Mod-01 Lec-38 Genetic Algorithms  
  • Mod-01 Lec-39 Genetic Algorithms contd...  
  • Mod-01 Lec-40 Simulated Annealing and Summary  
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