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Mechanical Engineering

Design and Optimization of Energy systems

Design and Optimization of Energy systems

01 Introduction to Optimization

02 System Design and Analysis

03 Workable system

04 System simulation

05 Information flow diagrams

06 Successive substitution method

07 Successive substitution method contd

08 Successive substitution method and Newton-Raphson method

09 Newton-Raphson method contd

10 Convergence characteristics of Newton-Raphson method10

11 Newton-Raphson method for multiple variables

12 Solution of system of linear equations

13 Introduction to Curve fitting

14 Example for Lagrange interpolation

15 Lagrange interpolation contd

17 Least Square Regression

18 Least Square Regression contd

19 Least Square Regression contd

20 Non-linear Regression (Gauss - Newton Algorithm)

21 Optimization- Basic ideas

22 Properties of objective function and cardinal ideas in optimization

23 Unconstrained optimization

24 Constrained optimization problems

25 Mathematical proof of the Lagrange multiplier method

26 Test for Maxima/ Minima

27 Handling in-equality constraints

28 Kuhn-Tucker conditions contd

29 Uni-modal function and search methods

30 Dichotomous search

31 Fibonacci search method

32 Reduction ratio of Fibonacci search method

33 Introduction to multi-variable optimization

34 The Conjugate gradient method

35 The Conjugate gradient method contd

36 Linear programming

37 Dynamic programming

38 Genetic Algorithms

39 Genetic Algorithms contd

40 Simulated Annealing and Summary

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