Synchronous motor base speed calculation

I would like to ask the following question.

How can I calculate the base speed of a Synchronous motor for variable speed applications controlled in dq frame? I want to calculate the base speed for different Vbus and I suppose phase voltage is half Vbus.

Thank you in advance.

• For the most part, I don't know what you are asking. But a synchronous motor should have a well defined relationship between input frequency and rotation speed. There is no complicated math. The number is fixed. For example, if it is 3600 RPM at 60 Hz, it will be 3000 RPM at 50 Hz, etc. – mkeith May 21 '15 at 18:16
• Hi, I am talking about the case of a Syncr. machine supplied by a dc source followed by an inverter. The inverter's duty cycle determines how much power is transferred to the load. The ac voltage that is created after the inverter has variable frequency and amplitude according the speed reference in the load. I am looking for the relation between load speed and Vdc. – Dbine May 22 '15 at 12:26