One other thing, by increasing both the voltage and the frequency (in proportion), the original current rating stays the same. So it also increases the power rating by the same multiple.
Another way to spin that is that a transformer with a higher frequency needs less core and winding material for a given power capacity.
That's why much military equipment - especially in aircraft - ran at 400 Hz rather than 60. (Called 'em "cycles (per second)" back then.) Since the transformer iron core is most of the weight you could make the core lighter by a factor of 6 2/3, while the proportionally higher voltage per turn let you do the same for the windings, which were most of the REST of the weight. If you're rectifying the output down to DC the higher frequency also scales down the filter capacitors (the bulk of that section) by the same factor, as well.
Seymour Cray used this same hack in his FIRST mainframe (the Control Data 1604) to substantially reduce the size and weight of the power distribution. Each door-full of logic cards and 6-bit slice of core RAM had four little transformer-based three-phase powered dual-voltage output DC supplies, about the size of a brick, one in each corner of the door/rack. There was a big motor-generator in the next room to do frequency and voltage conversion. Result: power handling was a very small amount of weight and size (both for the supplies and the wiring) in the mainframe's cabinet.
Thermal protection was cute, too. He mounted one of the Honeywell home-style furnace thermostats - the round ones with the mercury capsule switch - in the top exhaust plenum of the machine, set the cycling-heater-resistor to zero ohms, and put it in series with the (normally-closed) "stop" button of the motor-generator's "contactor" relay. That was a 24v low current control circuit, just what the thermostat was designed to switch. If the exhaust temperature exceeds the 'stat's setpoint it stops "calling for heat", which turns off the motor-generator and thus the power to the computer - until it's manually restarted after the issue is resolved. The mercury capsule switch in the thermostat means no "dirty contact" issues, too.
Using a furnace thermostat gave him easy-to-read fine control of the setpoint, an accurate monitor thermometer at the same location, and it was very cheap and reliable.