Here is the math behind VFD derating for 1 phase input.
The power pulled from the 1 phase source will be greater than the 3 phase motor power by the square root of 3, so to make sure the input rectifier can handle the additional current you would take the 3 phase motor FLA x 1.732. However in addition to the power rating issue, a VFD must also deal with ripple in the DC bus caused by rectification of the AC line. The output transistors can be damaged by having too much ripple to contend with, so the VFD includes a bank of capacitors to smooth it out. When rectifying 1 phase power, each cycle has a period of time with no power on it, so the ripple is much higher and you need additional capacitance to smooth it . The 1.732 rule may not provide enough, depending on the VFD internal design criteria, so a better rule-of-thumb is to double (2x) the size of the VFD relative to the size of the motor.
Any VFD is theoretically capable of being used this way, but there are a few issues. Some manufacturers build in Phase Loss protection because they have sized their components so marginally (for an expected 3 phase application) that they must protect them from even the chance of an input phase loss. If you are purposely oversizing that VFD to use 1 phase input, you must be able to disable that phase loss protection. There are a few manufacturers out there who do not allow the phase loss protection to be disabled, therefore you cannot use their drives for this purpose. Another relatively minor issue is that the VFD is providing the motor overload protection, and when using the drive on a motor that is 1/2 the rating of the drive, the factory default settings for overload protection are too high. A very few manufacturers for some reason do not allow their motor current settings to go low enough to do this.
The reason why you don't need to do this on some brands of 230V drives 3HP and under is that the cost of components is so low for the manufacturers that they just build in that extra capacity anyway. The only manufacturer that I know of who goes higher with that concept is AC Tech, who has a 5HP drive that can accept 1 phase input without derating. By the way, if you want to do this on a 480V drive, you ALWAYS must double the size.