Modern Optimization Techniques with Applications in Electric Power Systems pdf

Energy Systems Series Editor: Panos M. Pardalos, University of Florida, USA For further volumes: http://www.springer.com/series/8368 [...]... specialized optimization problems characterized by linear objectives and linear constraints Many commercially available power system optimization packages contain powerful linear programming algorithms for solving power system problems for both planning and operating engineers Linear programming has extensions in the simplex method, revised simplex method, and interior point techniques 1.2 Optimization Techniques. .. variables) Formulating constraints Formulating objective functions Setting up variable limits Choosing an algorithm to solve the problem Solving the problem to obtain the optimal solution S.A Soliman and A.H Mantawy, Modern Optimization Techniques with Applications in Electric Power Systems, Energy Systems, DOI 10.1007/978-1-4614-1752-1_1, # Springer Science+Business Media, LLC 2012 1 2 1 Introduction Decision... successive linear programming algorithms can be used effectively to solve the optimization problem In SLP, the original problem is solved by successively approximating the original problem using Taylor series expansion at the current operating point and then moving in an optimal direction until the solution converges Mixed integer programming is an integer programming used for optimizing linear functions... parameters in a trickle bed reactor, optimal design of heat exchangers, synthesis and optimization of a heat-integrated distillation system, scenario-integrated optimization of dynamic systems, optimization of nonlinear 14 1 Introduction functions, optimization of thermal cracker operation, optimization of nonlinear chemical processes, global optimization of nonlinear chemical engineering processes, optimization. .. that are constrained by linear bounds Quite often, the variables that are being varied can have only integer value (e.g., in inventory problems where fractional values such as the number of cars in stock are meaningless) Hence, it is more appropriate to use integer programming Mixed integer programming is a type of integer programming in which not all of the variables to be optimized have integer values... from other search techniques in several aspects The algorithm is multipath, searching 10 1 Introduction many peaks in parallel, and hence reducing the possibility of local minimum trapping In addition, GA works with a coding of parameters instead of the parameters themselves The parameter coding will help the genetic operator to evolve the current state into the next state with minimum computations... Successive linear programming (SLP) Interior point methods Sequential quadratic programming is a technique for the solution of nonlinearly constrained problems The main idea is to obtain a search direction by solving a quadratic program, that is, a problem with a quadratic objective function and linear constraints This approach is a generalization of Newton’s method for unconstrained minimization When solving... in the optimal power flow tools can be classified based on optimization techniques such as 1 2 3 4 5 Linear programming (LP) based methods Nonlinear programming (NLP) based methods Integer programming (IP) based methods Separable programming (SP) based methods Mixed integer programming (MIP) based methods Notably, linear programming is recognized as a reliable and robust technique for solving a wide range... Evolutionary Techniques [4–11] Recently the advances in computer engineering and the increased complexity of the power system optimization problem have led to a greater need for and application of specialized programming techniques for large-scale problems These include dynamic programming, Lagrange multiplier methods, heuristic techniques, and evolutionary techniques such as genetic algorithms These techniques. .. engineering design, scientific experiments, and business decision making Most of the real-world problems involve more than one objective, making multiple conflicting objectives interesting to solve as multiobjective optimization problems 1.2 Optimization Techniques There are many optimization algorithms available to engineers with many methods appropriate only for certain type of problems Thus, it is important . Soliman Abdel-Aal Hassan Mantawy Modern Optimization Techniques with Applications in Electric Power Systems Soliman Abdel-Hady Soliman Department of Electrical Power and Machines Misr University for. Soliman and A.H. Mantawy, Modern Optimization Techniques with Applications in Electric Power Systems, Energy Systems, DOI 10.1007/978-1-4614-1752-1_1, # Springer Science+Business Media, LLC 2012 1 Decision. fuzzy systems on the optimization of power system operation and control. Chapter 2 briefly explains the mathem atical background behind optimization techniques used in this book including the minimum