Compute Back EMF

Dear Sirs,

In manual spruhj1f, Page 411 Figure 11-19, Decoupled PI Controllers for a PMSM

Vq = PID_q_out + id * ω * Ls + ω * KE ;

I want to use “USER_MOTOR_RATED_FLUX * ω(rad/s) * 2 * 3.1415 “to substitute for “ω * KE”, is it right？

If I use ω * KE （Vpeak/KPRM）, do I need to use

“ω(KPRM) * KE / (PolePaires * sqrt(3))” or others?

I am not sure. Please Help.

Thanks a lot.