Brushed universal motors are largely independent of AC frequency, and as you have heard, will also run on DC. Their maximum speed is normally way above any synchronous speed referenced to line frequency. In their construction, the phase angle between the rotor and stator fields is set by geometry, not line phase. This is also why they run at high speeds - they just don't care about the line frequency. This is ideal for appliances such as vacuum cleaners and tools such as routers and planers, which don't need to maintain constant speed under varying loads. On the down side, they are typically not very efficient at low speeds, but for an application where they can run fast, that's not a problem.
As long as you get the voltage right, you'll be fine.
Variable speed controllers will also work well.
Just to lay a correct foundation. They are Synchronous machines & the machine analysis is the same for all types.
A synchronous machine is a type of machine that has AC flux in the stator & DC flux on the rotor (inside out machines aside). They generate torque only at synchronous speed - The rotor freq and the stator freq match, hence the name.
They have wound stators connected to an AC source with a wound rotor to produce a DC field, connected via sliprings ( some use mercury or graphite powder). These are usually the large national grid type machines.
There are then the rotating diode rectifier Main exciter type to facilitate a "brushless" rotor field excitation.
You then have the Permanent Magnet rotor type where surface magnets on the rotor to produce the DC flux needed for synchronous motor-generating operation. These are Permanent Magnet Synchronous machines.
There are two types that exist
- Permanent Magnet Alternating Current: PMAC
- Permanent Magnet Direct Current: PMDC
Just to be clear both types produce an AC backEMF if they are back-driven. They both need their stator excited with an AC field (and thus need something to generate an AC current/voltage). What is important is the type of control & the shape of the flux.
PMDC, as the name implies is DC. As I previously stated, they are not driven by DC but AC. The controller however will operate with a DC quantity and a final commutation stage will switch such a waveform through 60degree conduction points.
PMAC, as the name implies is AC. The core of the controller will more than likely be some form of Space vector modulation controller that utilises Clark & Park (to then produce a DC representation to control against).
Why the difference? Well for the same shaft characteristics (torque, speed) and for the same volume & weight a BLDC will produce higher torque & it is has a very simple control.
The downside is the higher backEMF that is produced & the torque ripple that is generated.
To get the most out of a BLDC control the BackEMF must be "shaped" to maximise the flux linkage. With DC current being applied in 60degree electrical sections the BackEMF needs to closely resemble this and thus it is shaped to be trapezoidal in shape as opposed to being sinusoidal.
How is this done though? The usual method is via a fatter stator tooth, stumpier tooth tip & the rotor magnets are not a full pitch (ie a 4 pole pair rotor with surface magnets would not have them covering 90deg but say... 87deg). This produces a period of VERY low flux linkage which shapes the BackEMF to be trapezoidal.
Best Answer
The volts/hertz ratio must be constant within some limit. Only the manufacturer can state that limit. Some manufacturers mark something on the nameplate like 380/440 V 50/60 Hz. That is 7.67/7.33 V/Hz or 7.5 V/Hz +/-1.7%. Marking it on the nameplate is essentially the manufacturer's guarantee that is ok for that particular motor. It is likely that you can operate motors marked only with one frequency or the other at something within a couple of percent of the same V/Hz. There is probably not much risk in doing that, particularly if the motor is not running at rated torque 24/7.
With constant V/Hz, an induction motor should be capable of operating at rated torque over a range of speeds while drawing rated current.