Correlation theory of random processes in problems concerning power systems with electric transport

A new method is proposed for determining the energy indices in electric transport systems, based on the correlation theory of random processes. According to this method, the components of apparent power and power factor are expressed through correlation functions and mathematical expectations of investigated traction voltages and currents. Numerical calculations of active, reactive and apparent power as well as the ratio of reactive power for a traction substation feeder show that the method possesses high accuracy: the error is less than 2%.