sophiecentaur said:
I imagine
@jim hardy Hardy could help here but I expect that in a real system, one alternator would be chosen as Master or there could be endless oscillation as one chases the other and back again. I think he has probably even done this with a pair of Nuclear Power ~Stations
Briefly,
There are impedances in the feeds to your bus. Current flow will be in strict accordance with the laws of Kirchoff and Ohm. You should be familiar with phasor notation to really enjoy them though.
A transformer has impedance so its output voltage drops (usually) a bit when current increases.
Impedance is usually given not in ohms but in "Per Unit" expressed as % . Let's just say 10%, it'll be given on the transformer nameplate.
All that means is that in changing current from no load to full load, the voltage drop across the transformer's impedance will reduce its output voltage by 10%.
So your bus will receive current from its sources according to their voltages and respective impedances.
10% is a not atypical number for a transformer. We had big ones ranging from 3% to 17 %
For a generator there's "Synchronous Impedance" and 150% is a not atypical number. The voltage regulator is usually adjusted to correct for that and reduce effective impedance to less than 10%. We set ours for 6%.
Transmission lines i don't know for sure, i think 3% is a typical number
@anorlunda would know better than i. So things tend to self balance.
Indeed currents can and do circulate.
In our two unit control room raising excitation on one machine changes current in the other one by circulating current out through the switchyard.
Same thing applies to the whole system, changing excitation in Miami affects generators in West Palm Beach. So the system dispatchers request plant operators to adjust voltage so as to keep the system in harmonious balance.
This chart shows real time phase angle between regions of the country. No it's not perfect but it demonstrates the grid is a living breathing dynamic thing.
http://fnetpublic.utk.edu/anglecontour.html
@anorlunda wrote an insight
and this might be of help
http://education.curent.utk.edu/wp-content/uploads/2014/06/Fundamentals-of-the-Electric-Grid.pdf
Yes, we once used a nuke unit as a source to search for resonant frequency of our grid. It was 2/3 hz. Study of harmonic motion tells us you can get sustained even divergent oscillations anyplace there's inertia and energy involved. Mother Nature just loves a sine wave.
old jim