Chapter 2 Mathematical Optimization Techniques

Objectives The objectives of this chapter are: Explaining some optimization techniques. Explaining the minimum norm theorem and how it could be used as an optimi-zation algorithm, where a set of equations can be obtained. Introducing the fuzzy system as an optimization technique. Introducing the simulated annealing algorithm (SAA) as an optimization technique. Introducing the tabu search algorithm (TSA) as an optimization technique. Introducing the genetic algorithm (GA) as an optimization technique. Introducing the particle swarm (PS) as an optimization technique. Growing interest in the application of Artificial Intelligence (AI) techniques to power system engineering has introduced the potential of using this state-of-the-art technology. AI techniques, unlike strict mathematical methods, have the apparent ability to adapt to nonlinearities and discontinuities commonly found in powe