Chapter 6 - Optimization basics

Abstract

Different kinds of optimization problems such as single-objective optimization, multiobjective optimization, constraint and unconstraint optimizations, linear programming (optimization) known as LP problem, nonlinear programming known as NLP problem, integer programming or IP problem, and mixed-integer nonlinear programming known as MINLP problem were defined. Chapters 2–52345 were dedicated to different modeling of energy systems, and their outcome is the mathematical formulation that is required for the optimization of energy systems. This chapter is dedicated to optimization basics and tools. Using concepts of optimization, it is possible to solve models of previous chapters to reach the optimal solution of energy systems. This book is not an optimization book; therefore, only general guidelines and brief descriptions are given here. More details regarding optimization must be found in related literature. In this chapter, some concepts regarding single-objective and multiobjective optimization, constraint and unconstraint optimization, and mathematical and metaheuristic optimization approaches are given. Besides, the optimization toolbox of MATLAB software is introduced. Finally, since the optimization of large systems is very time-consuming due to numerous numbers of decision variables and constraint, some methods to reduce the size of the problem are introduced as well.