Improved Mathematical Model for Analysis of Low-Frequency Electromagnetic Processes in Transformers

Universal mathematical model of asynchronous machine as an element microgrid in smart grid

“…Let us convert equation (1) to the stationary coordinates. After substituting (10) into expression (3) one can get…”

“…where To transform equation (2) into the stationary coordinates, The flux linkages and currents of rotor phases are to be transformed. After substituting (10) into formula (2)…”

“…Accounting of active power losses in the magnetic core of IM caused by eddy currents and hysteresis is carried out by introducing three additional resistors into the circuit with the additional winding, which wraps the main magnetic flux λ m , similarly as for the transformer described in [10]. The differential equations for the main magnetic fluxes will be obtained by Ampere's law for the main circuit of the magnetic core and Kirchhoff's law.…”