Zero sequence current is one of the three symmetrical components used to study systems under unbalanced conditions. Its mathematical definition correspond to the third of the addition of the three current phasors, that is, the third of the neutral current value. So, zero sequence currents, an voltages, are directly asociated to ground faults.
Whith distorded waveforms, third harmonic and multiples behave as zero sequence currents and/or voltages. Julian