To illustrate unbalanced currents in a three phase wye system you may be showing four current waves. The simple answer is that the instantaneous sum of all four currents will be zero. In a three wire delta system there will be only three current waves but they may be unbalanced. In a four wire delta system there will be four current waves but single phase will cause an unbalance in the tree phase currents and unbalanced single phase currents will add more complications. Maybe it would be better to stick to wye systems until you don't need to ask for help.
In the real world there are often harmonic currents and the third harmonic components of the currents will add on the neutral rather than canceling.
Try searching this site. Some interesting wave forms have been posted in the past.
Then try Google.
Bill
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"Why not the best?"
Jimmy Carter
In a three-wire delta system the phase currents add up to zero because there is no neutral. The voltages would be unbalanced and would not add up to zero.
In a four wire wye system the phase voltages would add up to zero assumming that the neutral connection has zero impedance and therefore no voltage drop. The phase currents would be unbalanced and the phasor sum would equal the neutral current.
