majesus, to try and further clarify your question and provide a more detailed explanation below is a section excerpted from the "Electrical Power Disctribution Handbook by Tom Short" which discusses why the zero sequence impedance for a synchronous generator can be lower and the L-G faults higher than a 3 Phase fault.
The zero-sequence impedance of a synchronous machine can have extremely low impedance. It is enough of a problem that many generators are ungrounded or grounded through an impedance to prevent the flow of zero-sequence current. Many generators are not braced to handle the fault current for a line-to-ground fault at the terminals of the machine. Single phase faults cause more mechanical stress and are higher magnitude. Ground fault currents are 30 to 40% higher than three-phase fault currents (E/Xd" vs. 3E/(2Xd"+X0)=~ 1.3 to 1.4E/Xd"). The zero-sequence impedance is the same whether it is under steady-state, transient, or subtransient conditions.
The reason that the zero-sequence impedance is so low is that magnetic fields from zero-sequence currents in the stator winding tend to cancel each other. If the fields cancel and couple very little to the rotor, the impedance
is very low.
The zero-sequence impedance varies significantly with design. The most prominent difference is due to the pitch of the stator winding. A pole pitch is the number of degrees that the rotor has to move to change from one pole
to the other. In a 2-pole machine, one pole pitch is 180
degrees, and in a 4-pole machine, it is 90 degrees. The pitch factor(or just the pitch) of the stator winding is the portion of the pole pitch that the stator winding spans. A full-pitch stator winding spans the full pitch. A fractional pitch winding spans less than the full pitch. The 2/3-pitch winding reduces the zero-sequence impedance the most. Because the two conductors in each slot have current in opposite directions, the fields cancel almost completely (since a = b = c = -a' = -b'= -c' for zero-sequence current). Other common pitch factors are 5/8 and 3/4.