Why does Permanent Magnet Synchronous Motor (PMSM) equation in MathWorks documentation doesn't match the equations elsewhere?

PMSM equation according to the MathWorks document doesn't match the equation elsewhere. According to the books the evaluation for electromagnetic torque should be:         

Te = 1.5*PM.p/2*(PM.Flux*u(1)+(PM.Ld-PM.Lq)*u(1)*u(2))

However, according to MathWorks document:

 Te=1.5p[λiq+(Ld−Lq)idiq]

Why is the "/2" been omitted in the MathWorks equation for PMSM?

Answer 1

[MathWorks Support Team]

In the equation provided, the term 'p' is number of poles. However, while modeling a PMSM in Simulink, 'p' is considered as number of pole pairs. Hence the "/2" term is omitted.

Te=1.5p[λiq+(Ld−Lq)idiq]

For more information, please run the below command in the MATLAB R2018b command window to refer to the documentation:

web(fullfile(docroot, 'physmod/sps/powersys/ref/permanentmagnetsynchronousmachine.html'))

Please follow the below link to search for the required information regarding the current release:

https://www.mathworks.com/help/