From the graph above you can see that the current will rise exponential to Imax. Please note that with stepper motor boards we never actually hit this Imax. Specifically the boards have current sense resistor of 0.1 ohms and if motor is 3 ohms with 24V your Imax in the graph is ~8A. The controller however will limit the current to much less (2A for example). The faster we can go from zero current to 2A the faster the motor can turn. From the equations you will see that increasing the voltage will reduce the time it takes for the motor to get to 2A with everything else constant, this means motor can move faster.
For example an unloaded NEMA 23 motor I have would run at 380RPM with 12V, but with 24V it ran around 600RPM. Again the faster we can get current to rise in the motor the faster the motor will turn, so use at least 24V on motors if you need speed.