Orthogonal Decomposition of the Currents in a 3-Phase Nonlinear Asymmetrical Circuit with a Nonsinusoidal Voltage Source

The concept of orthogonal decomposition of the current in a nonlinear single-phase circuit, with a nonsinusoidal voltage source, into the active, the scattered, the reactive, and the generated component is extended in this paper to 3-phase asymmetrical circuits. It is shown that the source current in such a circuit can be decomposed into five orthogonal components which depend on distinctively different phenomena. Four of them have the same meaning as in the single-phase circuit, with only a change in their mathematical characterization. An additional orthogonal component appears in the source current due to the load asymmetry. © 1988 IEE