STOPPING CRITERIA HIGHER ORDER INTERIOR POINT METHOD NEWTON'S METHOD PACKING OF RECTANGLES CONVENTIONAL LOAD FLOW INEXACT RESTORATION METHODS PV BUS MODELING DATA FITTING HANSEN PARAMETERS PACKING PROBLEMS FEASIBILITY PROBLEMS PRIMAL-DUAL ALGORITHMS OPTIMALITY CONDITION HYDROELECTRIC-THERMAL GENERATION CUTTING PROBLEMS MODELS MINIMIZATION WHIT EQUILIBRIUM CONSTRAINT AUGMENTED LAGRANGIAN ORDER VALUE OPTIMIZATION POWER SYSTEM OPERATION DECOUPLED METHODS BIODIESEL PHASE EQUILIBRIUM CONSTRAINT QUALIFICATION POWER SYSTEMS OPERATION SECOND ORDER OPTIMALITY CONDITION ORTHOGONAL PACKING APPROXIMATE KKT CONDITIONS PARAMETER ESTIMATION WARD EQUIVALENT MATHEMATICAL PROGRAMMING SEQUENTIAL OPTIMALITY CONDITION OTIMIZAÇÃO LOWER ORDER VALUE OPTIMIZATION POWER SYSTEM ANALYSIS HYDROELECTRIC-THERMAL POWER GENERATION EXACT PENALITY SOFTWARE DEVELOPMENT GAUSS NEWTON METHODS POWER GENERATION DISPATCH MULTIPLE PREDICTOR-CORRECTOR VEGETABLE OILS RECURSIVE QUADRATIC PROGRAMMING OTIMIZACAO NAO LINEAR DE GRANDE PORTE LARGE SPARSE CONSTRAINED OPTIMIZATION ALTERNATE ADJUSTMENTS HYDROTHERMAL SYSTEMS COMPETITIVE ELECTRIC MARKET VIOLATIONS ELIMINATION ALGORITHMIC CONVERGENCE GIBBS ENERGY MINIMIZATION PARTICIPATION FACTORS VOLTAGE STABILITY OPTIMAL POWER FLOW MAXIMUM LOADING POINT POWER SYSTEMS SECURITY MINIMUM LOAD SHEDDING GAMS LARGE SPARSE LINEAR SYSTEM SENTINELS SEQUENTIAL QUADRATIC PROGRAMMING ALIGNMENT PROTEIN EIGENANALYSIS CHEMICAL EQUILIBRIUM