The French TGV world speed record is 574.8 km/h (357.2 mph), achieved on the 3rd of April 2007, on the new LGV East line (Paris to Strasbourg)
HOWEVER it was a "small" TGV with 3 duplex (2 levels) cars, with 2 powered boogies, sandwiched between 2 power cars. It was the first time they used 2 level cars on a speed record.
See Wikipedia photo.
http://en.wikipedia.org wiki/TGV_world_speed_record#mediaviewer/File:TGV_World_Speed_Record_574_km_per_hour.jpg
According to Wikipedia
"The catenary voltage was increased to 31 kV from the standard 25 kV.
The mechanical tension in the wires was increased to 40 kN from the standard 25 kN.
The speed of the transverse wave induced in the overhead wire by the train's pantograph was thus increased to 610 km/h, providing a margin of safety beyond the train's maximum speed".
The train was checked on a relatively short distance (140 km). Obviously the train ran for a longer distance. First to increase its speed from a dead stop to a high speed...then after the 140 km stretch, to slow down to zero zero speed. The maximum speed was reached on a 4 km long segment.
They did several runs, spread on a couple of months, all over 500 km/h.
Before each run a regular TGV, with 8 coaches, did a run at 380 km/h..
Obviously the newer TGV can run faster than they do with passengers etc. but like cars, horses and people, running very fast all the times shorten the life span..
on March 29, 1955 a short train made of non-aerodynamic electric locomotive (with a vertical front) and a couple of coaches reached the top speed of 331 km/h (206 mph). BOTH the tracks and the wires were damaged in the process.
In 1854 a UK steam locomotive reached 131.6 km/h (82 mph)..
In 1935 another UK steam locomotive ran at 180.3 km/h (112 mph)
Faster than current Amtrak trains!!