Application of the Graph Theory in Managing Power Flows in Future Electric Networks

Electrical power system is one of the largest and most crucial engineering systems which spreads everywhere in countries to supply electricity for hundreds of millions of consumers from hundreds of thousands of producers. In its more than one century history, the development of the power system proceeded through evolutional stages from local isolated networks with small-scale load and generation to large interconnected networks with myriads of consumers vertically fed by centralized generation, such as coal, hydro, or nuclear power plants. System stability and reliability have been continuously improved along this development of the power systems.