I am moving to Poland this summer and would like to take my two HEPA air filters with me (it really helps with my breathing, especially when the air is so polluted in the region). However, they are rated for 120V at 60Hz while the only reasonably priced transformers change the voltage to ~120V, 50Hz. I am not sure what else to do because I have have severe breathing issues and even my skin reacts to something there (hard to figure out what this is). A 50 to 60Hz transformer would be more expensive than ordering a new filter from the UK (I can't seem to find these filters anywhere in Europe except on amazon.co.uk), which I would like to avoid doing.
Will a ~50W motor (120V, 60Hz) accept 120V, 50Hz power without issue, especially since this is in a fan, which ought to keep it cool?