Have you ever seen a low voltage transformer like the one shown above? It has multiple input (primary) taps for a good reason.
It is common to find 3-phase and single phase equipment rated to operate on both 240v and 208v power. This is because three-phase power can either be 208v leg to leg when the building has a wye type transformer or it can have 240v leg to leg when a delta transformer is in use.
Single phase power (in the US) is almost always 240v leg to leg or 120v leg to neutral because one “phase” of the three-phase transmission line is being used and is wired in the transformer secondary to create two opposite sine wave (180 degrees out of phase) legs of 120v power.
The motors in a unit that is rated for 208v or 240v must all be designed to operate within that range of voltages. However, if the transformer is designed for 240v and only 208v is applied the secondary voltage will also drop below the rating. This can lead to issues with the controls such as chattering relays and contractors. In most cases the system will function normally, but in cases with long runs of control wire (high voltage drop) or sensitive electronic controls it can have a greater impact.
All you need to do when starting up or servicing a system with a multitap primary transformer is to ensure that the primary conductors are on the correct taps. If you ever find a system where the control voltage is higher or lower than expected by about 10% then you will want to check for an improperly tapped transformer.