Optimization theories and approaches have been extensively applied to power system planning and operation problems. This is a rather traditional and ongoing research area . With the complication of power systems, the deregulation of the power industry, and the development of smart grids, many new problems have emerged and new methods have been developed. Many optimization theories and approaches have acquired industrial application and introduced technical and economic benefits. The mathematical optimization methods applied in power systems include linear programming, nonlinear programming, mixed integer programming, dynamic programming, artificial intelligence, stochastic programming, etc. This book focuses on the advanced theories and approaches from the perspective of large-scale complex systems, rather than the traditional ones. However, to begin with the fundamentals, we will first review the basic optimization applications in power system planning and operation.
The aims of this chapter are as follows: