Optimal Power Flow by Interior Point and Non Interior Point Modern Optimization Algorithms

W  artykule zaprezentowano algorytm prymalno-dualnej metody punktu wewnętrznego oraz nowy wariant metody optymalizacji non interior point, w  zastosowaniu do  zadania optymalizacji rozpływu mocy w  systemie elektroenergetycznym. Opisane algorytmy zostały zaimplementowane w  autorskim oprogramowaniu. Przeprowadzone ekspery- menty obliczeniowe, wskazują przydatność oprogramowania i  zaimplementowanych algorytmów w  zakresie wyznaczenia rozwiązania zadania optymalizacji rozpływu mocy w  systemie elektroenergetycznym, w  tym dla modelu systemu o rozmiarach porównywalnych z rozmiarami Krajowego Systemu Elektroenergetycznego (KSE).

The idea of optimal power flow (OPF) is to determine the optimal settings for control variables while respecting various constraints, and in general it is related to power system operational and planning optimization problems. A vast number of optimization methods have been applied to solve the OPF problem, but their performance is highly dependent on the size of a power system being optimized. The development of the OPF recently has tracked significant progress both in numerical optimization techniques and computer techniques application. In recent years, application of interior point methods to solve OPF problem has been paid great attention. This is due to the fact that IP methods are among the fastest algorithms, well suited to solve large-scale nonlinear optimization problems. This paper presents the primal-dual interior point method based optimal power flow algorithm and new variant of the non interior point method algorithm with application to optimal power flow problem. Described algorithms were implemented in custom software. The experiments show the usefulness of computational software and implemented algorithms for solving the optimal power flow problem, including the system model sizes comparable to the size of the National Power System.