gerbi said:
Well.. it does not supress 3rd harmonic, delta connection creates a closed circuit so 3rd harmonic mag current can circulate.
Maybe I should have worded my statement as follows. Delta connection suppresses the triplen harmonic flux distortion by providing a closed path for triplen current. However, "suppression" is actually a valid description. The mere fact that the delta provides a closed path does not suppress flux distortion. It involves Ampere's law.
Without a delta winding, if a 3-wire Y-Y xfmr was observed, the secondary line-to-neutral voltages would contain triplen harmonic distortion due to triplen flux. This triplen flux is due to
absence of triplen harmonic magnetizing current. Under 4-wire connection (low Z neutral path provides easy path for triplen current), the flux is fundamental w/o harmonics, triplen or otherwise. Without the neutral path (open path), the equivalent circuit is normal operation with a negative triplen current set injected onto the waveform. This model is perfectly valid and gives the right answer.
The objective is to suppress this
negative triplen current or triplen flux, either view works. If the secondary Y connection is modified to delta, the triplen currents circulate inside the closed path of the delta. How does this suppress triplen core flux?
When secondary triplen current exists, the secondary winding has a triplen mmf due to the triplen amp-turns. By the Law of Lenz the polarity of the triplen mmf is counter to that of the primary magnetizing mmf. So this delta triplen mmf tends to reduce the triplen flux component in the core.
With non-triplen secondary mmf, as soon as core flux gets reduced due to Lenz law, the primary mmf (amp-turns) increases to counter the counter mmf. The increased primary current due to secondary loading is "counter-counter-mmf". This happens because non-triplen secondary load current can be amp-turn balanced by primary mmf since non-triplen current can exist in a 3-wire Y.
But when the delta secondary carries triplen mmf, these amp-turns cannot be balanced in a 3 wire Y because the path is very high impedance for triplen frequencies. So when the secondary triplen mmf reduces the triplen core flux, there can be no primary counter-counter-mmf to cancel the triplen flux reduction. The secondary triplen current will generate a triplen counter flux which cancels the core triplen flux due to absence of triplen current in the primary.
So the delta secondary does indeed suppress "triplen core flux, triplen line-neutral voltage, and triplen negative magnetizing current". By providing a closed path for triplen current, the magnetic flux associated w/ triplen secondary mmf cancels the triplen core flux distortion. Also "suppress" is valid in another sense. If the primary Y has a 4th wire, a delta secondary will provide a low Z shunt path for triplen current such that nearly all triplen magnetizing current is in the delta secondary, instead of the primary Y neutral and hot wires. So a delta does indeed suppress triplen currents here.
Anyway, I just wanted to clarify, your point is well taken, the delta does indeed carry the triplen current, in doing so it suppresses triplen core flux, phase voltage, and triplen current is the Y primary if a neutral wire were present.
Claude