- Overview of commercial and non-commercial software packages for solving the optimization problems (GAMS, GUROBI, CPLEX, Intel Pardiso, Matlab and others). - Typical optimization methods used for the power system operation problems: solving the large-scale sparse systems of linear equations, linear programming optimization, quadratic programming optimization, mixed integer linear programming optimization and convex optimization. - Technical-operation characteristics of loads. Load diagrams and load profiles. Approximations of load profiles. - Technical-operation characteristics of hydro power plants. Water diagrams. Modeling of hydraulic turbines and hydro units. Operation constraints. Calculation of output power and energy. - Technical-operation characteristics of thermal power plants, gas power plants and power plants with combined cycle. - Technical-operation characteristics of renewable energy resources: wind farms and photovoltaic solar plants. - Power system security and sensitivity coefficients. Implementation of sparse linear power transmission distribution factors. - Economic aspects of PSO. Cost function and technical constraints. Optimal load scheduling in thermal and hydro power systems. Adaptation to the constrained quadratic optimization and integration with above mentioned software packages. - Optimal power flow. Cost functions and constraints. Solution methods (Newton quadratic and linear programming based) and integration with above mentioned software packages. - Basics of frequency and active power control. Primary, secondary and tertiary controls. - Power markets and PSO in deregulated power systems. Energy and ancillary services markets. Locational marginal price. Cost of energy transit. Problem adaptation to the constrained linear programming and integration with above mentioned software packages.