The way I designed this type of system (Miller System) is rather strait forward and that allows for it to have some basic rule of thumb numbers that will get you close enough to be able get your setup working and will allow you to fine tune your system with very favorable results after that. For a basic reference point in the descriptions I will use what’s needed for converting a standard 1 HP 230 Volt 1750 RPM three phase motor.
For a typical 1 horsepower 230 volt three phase motor to work well on single phase you will need two AC motor run capacitors (C1 and C2) of around 10 micro farads each and preferably with at least a 300 VAC rating however a higher voltage capacitor works the same. The motor start capacitor (C3) is a 100 uf 250 VAC type. These values are proportional to any size of motor within reason. For example a 25 HP motor would need two 250 uf motor run capacitors and 2500 uf of motor start capacitors. However the starting current would be around 500+ amps for a motor of that size though if its load was high! Being that AC capacitors for these types of applications don’t come in individual sizes that large it will be necessary to use several smaller ones set up in parallel banks in order to get close to the needed working values.
Obviously if other voltages, frequencies, and power rating systems are used the numbers will change as well. The fact that they still follow proportionally is what’s important. 50Hz needs 6/5th’s the capacitance. 400 volts needs 230/400th's the capacitance and KW's needs 1000/746 the capacitance. The voltage reference values for tuning follow similarly as well.
These recommended capacitor values are typical values and are by no means set in stone. Depending upon the characteristics of the motor and what type of loads it powers they can vary from as low as 50% to as high as 150% of the typical suggested values. So if an exact capacitor value is unavailable just pick its nearest value, its likely going to be close enough. The recommended 10 uf per hp at 230 VAC 60 Hz with a 100 uf per HP starting capacitance just works out as the common average. Also because every motor brand, model, and speed has a different inductance and average efficiency you may need to change the two capacitors values up or down for peak power and efficiency when matching the actual motor to its load. That is why the actual values you may end with could be rather far from the typical suggested values.
This is done by reading the voltage across the L1 - L3 and the L2 - L3 lines while the motor is at its typical load range.