First, the end goal is to run a power tool (namely a Dewalt DW734 thickness planer) designed for 110V at 60Hz at a country where the power is 220V at 50Hz. The motor is a brushed universal motor, constant speed (i.e. not variable speed, but also doesn't seem to be electronically controlled).
I've read a lot on the Internet about running motors (universal and induction) at different frequencies (50 and 60 Hz, which are the common frequencies around the world), but there are conflicting opinions.
Naturally I will use a step-down transformer to get the voltage to 110V. The question is how will the frequency change affect the motor?
Some sources claim that a universal motor doesn't care about the frequency at all (and can run on DC as well), while others claim that the motor will run at 50/60=83% speed (but this might be the case only for induction motors, not universal brushed motors).
Other places claim an issue not directly with frequency, but with the voltage-frequency ratio (110/60 vs. 110/50) causing the motor to draw more current and over-heat.
Another issue comes from electronic speed control and variable speed control (the DW734 doesn't have them, but other power tools do). Will these require the correct frequency, or do they operate on DC anyway and the line frequency is not important?
There are power supplies that convert the frequency as well (VFD invertrs), but they are more expensive than regular step-down transformers and not all of them produce a perfect sine wave (which is another question - how important is a perfect sine wave vs. a PWM signal?).