Hi krsh,
You do not really need any specific VFD brand for use on pump-jacks, progressive cavity pumps, or electric submersible pumps, the three systems common for oil production.
That being said, many manufacturers, such as ABB, Unico, Yaskawa, Schneider, Vacon, etc..have modified their application software on the drives specifically for either pump jacks or progressive cavity pumps to provide several features specific to these applications.
Some features that are often included in these drive applications:
Pump-Off Control
Backspin Control
Inferred Production (Measurement)
Rod protection (Torque Limiting)
De-Sanding of the pump
To name a few. I have worked with almost every brand and flavour I know of for both PCPs and pump-jacks/beam-pumps. With beam-pumps/ pump-jacks, there is some braking involved meaning that often there are brake choppers and resistor packages included in the drive panel build. Depending on how well balanced the well is and how robust the DC bus of the drive is, sometimes you can avoid having a chopper and resistors. Also I have done applications using Active-Front-End drives and this is a good solution for pump-jacks, although more expensive.
In your search for information online you are going to get inundated with marketing material from the various vendors out there and probably won't find a whole lot of useful technical information. If you could tell me specifically what you are looking for I can direct you to some relevant links.
