Application of functional modelling to the solution of electrical power system optimization problems

Abstract

This paper presents theoretical foundations for the application of the principles of functional modelling (FM) to the electrical power systems optimization problems and concrete algorithms for the solution of such of them as optimal operation and optimal development problems. A FM type algorithm includes operations executed on several levels of analysis: lower (subsystems) levels and higher (system) level. On the lower levels functional characteristics of subsystems and their internal variables are calculated, on the higher level boundary variables are computed. Important advantage of FM algorithms is that results obtained with them on each iteration are identical to those of basic sequential algorithms from which they are derived. It is shown in this paper and elsewhere that application of FM algorithms, especially in their parallel realization, can greatly increase effectiveness of optimization problems solution in electrical power systems. Especially efficient is their application to real time operation control of large power systems.