Energy Chain, Primary energy analysis. Modelling overview levels of analysis, steps in model development, examples of models. Quantitative Techniques : Interpolationpolynomial, lagrangian. curvefitting , regression analysis, solution of transcendental equations. Systems Simulation information flow diagram, solution of set of nonlinear algebraic equations, successive substitution, Newton Raphson. Examples of energy systems simulation Optimisation: Objectives/constraints, problem formulation. Unconstrained problems Necessary & Sufficiency conditions. Constrained Optimisation lagrange multipliers, constrained variations, KuhnTucker conditions. Linear Programming  Simplex tableau, pivoting, sensitivity analysis. Dynamic Programming . Search TechniquesUnivariate/Multivariate. Case studies of optimisation in Energy systems problems. Dealing with uncertainty probabilistic techniques. Tradeoffs between capital & energy using Pinch Analysis. Energy Economy Models: Scenario Generation, Input Output Model. Numerical solution of Differential equations Overview, Convergence, Accuracy. Transient analysis application example.
