On the meaning of nonsinusoidal active currents

L.S. Czarnecki´s (1985, 1987, 1988) orthogonal decomposition of nonsinusoidal currents is briefly discussed. The minimum property of Czarnecki´s active currents in single-phase and three-phase nonsinusoidal circuits is discussed, using a Lagrangian multiplier approach. Czarnecki divided current, i, into three components: the active current i_a, the scattered current i _s, and the reactive current i_r. For three-phase four-line systems, several meanings of Czarnecki´s active current i_a are given