The main course objective is acquiring knowledge on classic optimization methods, algorithms for their solution and possibilities of their application in power systems.

Knowledge on classic optimization methods in modelling and solving classic problems of transmission and distribution network.

Fundamentals in numeric analysis: functions, matrix algebraic, finding eigenvalues and eigenvectors. Solving systems of linear algebraic equations. Solving nonlinear algebraic equation: methods of correction of current solution, methods of bracketing and combined methods. Solving systems of nonlinear algebraic equations: Newton-Rapson and Gauss-Saidel methods. Optimization fundamentals: stating and classification of optimization problems. Graphic optimization methods. Linear and network programming: linear programming, primary and dual Simplex method, transport problem, assignation method, etc. Nonlinear programming: gradient and conjugate gradient methods, Lagrange method, Hook-Jeeves method, etc. Application of optimization methods in power systems.

Lectures - auditory