Can someone explain the equations for Space vector PWM implementation in section 4.11 in UM1052?

[Dimitris Paraskevopoulos]

I am trying to understand Field Oriented Control and use it on an STM32 MCU and I have a question on the implementation.

I have read UM1052 and the presentation on fundamentals of motor control which explains some things nicely and I now want to understand how are the voltage phases (pwm center-aligned duty cycles) calculated from the orthogonal motor-aligned voltages Vα, Vβ.

I understand how the phases can be computed graphically by reading this but I don't understand the motive for the equations in 4.11 of UM1052.

What are Uα, Uβ for? Do they have some meaning?

What are X, Y and Z supposed to represent?

How did they come up with these equations?

Thank you very much.

Sat

[Laurent Ca...]

Dear Dimitris Paraskevopoulos

We will try to answer to question ASAP.

In the meantime, if you can give me some information :

• are you searching a solution for a project or is it just a study for learning?
• and if you search a solution have you already some material (boards, motors and so on) and SW (tools, internal SW dev and so on)?

Best regards

Laurent C.

[Laurent Ca...]

Dear @Dimitris Paraskevopoulos​ 

Do you have still this problem to solve?

Best regards

Laurent Ca...

[Dimitris Paraskevopoulos]

Hi Laurent,

Yes I would like to know the answer to this please.

Cheers