If the generators are out of phase, out of step or out of synchronization, the result depends on how far out.
If the generators are free running the relative positions are random and may be described by a random number of degrees between 0 and 180 degrees.
Based on diesel generators in the range of 350 kW to 600 kW;
Up to about 5 degrees error the sets will pull into sync benignly.
As the angle becomes greater the electrical transients become greater and the mechanical forces increase.
One set has a positive torque transient and the other set has a negative torque transient as they try to match angular positions.
With our sets, until I discovered that there was a wiring error introducing a 30 degree error into the synchroscope, the breaker would trip at around 25 to 30 degrees error.
Once or twice a year a key in a coupling would shear.
I don't know if from a greater angular error or from cumulative effects.
The effect depends on the protection, bot current setting and any time delays.
The keyway keys may have acted as a mechanical "Fuse".
This is one example but there is not a representative example.
The electrical effects will depend on first the ability of the protection system to clear instantly and on the mechanical construction and mechanical weak points.
If the protection fails to clear then the physical arrangement and bracing of the windings becomes relevant.
The worst torque transients are at 90 degrees error.
The highest electrical fault currents will be at 180 degrees error.
Large station step-up transformers have been destroyed by an out-of-sync closure.
In the worst instances, when the noise subsides, the smoke clears and the metal cools, the investigations begin.
Further effects may be letters of reprimand, disciplinary actions, terminations and ruined careers.
Lawsuits are a possibility.
Bill
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"Why not the best?"
Jimmy Carter