Load Balance Problem

Eh? Simply move the single phase loads around until the totals are around 12A per phase, or as near as possible to that figure.

How you reached to the conclusion of 12 amps per phase?

Regards,

The distribution of loads to R, Y, B you suggest is OK as a "balance".

Ideal balance is rarely obtained - in any case, loads usually go on/off at various times outside the designer's control e.g. freezer and air-conditioning will go on/off according to ambient temperature and other loads according to wish of user.

"vector sum of currents Ir,Iy and Ib should be zero" if the three currents form a symmetrical triangle or Y e.g. Ir = Iy = Ib with angles 0, 120, 240 degrees respectively. Even if the currents are equal, they must have same power factor when fed from a symmetrical 3 phase voltage.

This is rarely achieved practically in final circuits with single phase loads, but a design for balance minimises neutral current, losses, volt drop and overloading of an individual phase.

Because supply distributers connect up homes etc in succession along a street as single phase supplies, R-Y-B-R-Y-B-...., the phase loads average out to a better symmetry at the local transformer.

This is import to one phase in a real building over one day, loads are central heating pump, fridge ~ 2 amp, freeezer ~ 5 amp, lights ~ 0-8 amp and solar power generation (the fuzzy bits, logging cannot show power direction). Vertical amps, horizontal seconds 0 - 90000.

Why do you feel you need to have such a small total load balanced across three phases?

Sum Ting Wong offers a better solution where the branches actually add up.

Your goals are laudable, however, practical impact is non existent. You could put all of those loads on one leg, and neither you or the utility will have a care in the world.

I do not know if this is a concept issue, but what exactly are you talking about?

Amps is for instant value, Amps DC for average value, and Amps rms is for squered averaged value.

Considering your tools, you are adding rms values as if they were apples. Are you sure that no load has a phase shifted current?

Anyway, for balancing the loads you can literally "balance the loads" as my fellows suggested, or you can install a 3 phase transformer and expect the magnetic flux to do its job. However, it should be ibvious that this last solution will be expensive.