Mathematical modeling of synchronous generators in out-of-balance conditions in the task of electric power supply systems optimization

Industrial electric power supply systems include domestic power plants. Thereat the urgent problem is optimal modes planning in terms of industrial power center. This task is supposed to be solved by means of generator optimal load algorithm using dynamic programming method. Electric power system has not only domestic power plants, but also a connection with external sources through autotransformers 500/220 kV. These elements could be single-phase repaired which affects to the whole electric power system operating conditions, especially to the generators of domestic power plants. That is when planning an optimal mode such an open-phase modes should be considered as well. This could be solved by means of the combination of subsequent reduction and symmetrical components methods.