In N.A. the voltage is really 240V/120V or sometimes called 230V/115V, just depends on the label on the device. Many times your actual line voltage could be as high as 245V or so, it's all the same and works fine.
For the 24VDC power supply, if you choose to wire it at 240V just connect one hot to each of the power in terminals. They may be labeled L and N, just make sure the PS is rated for 240V (220) input voltage.
Yes, for the HY VFD, just connect the 2 hots per the manual.