Linear model of a three-phase circuit characteristics

The paper deals with a general form of a mathematical model of a three-phase electric circuit characteristics. A form of the model with using dimensionless variables is discussed. In general form of the linear ac circuit, the steady-state circuit characteristics are nonlinear functions of circuit elements and signals parameters. The linearized model of the asymmetrical circuit with linear loads is derived in matrix-vector notation. The model consists of sensivity function of the circuit-phase currents versus load voltages, supply voltages, phase inductances and supply voltages frequency described analytically in form of matrices or vector. As reference the symmetric (balanced) three-phase circuit was used. An example of application of this model to the determination of the inductances of the circuit is given.