Torque-versus-speed response of the variable-speed controller

Hello All,
I tried to draw the relation between Generator torque and generator speed for both DISCON and ROSCO controllers for NREL 5 MW monopile wind turbine, it looks fine until region 3, instead of having generator torque is inversely proportional to the generator speed in DISCON, in my results the generator torque is increased proportional to the generator speed not inversly as shown here.
what is the error in my calculation? is there a specific reason for that?

Regards,
Marwa

Dear @Marwa.Mohamed,

Can you clarify the source of the DISCON and ROSCO controllers for the NREL 5-MW baseline wind turbine? I presume you obtained the DISCON from the OpenFAST r-test, but where did you obtain the ROSCO controller?

How did you derive these torque-speed curves from both controllers?

Best regards,

Dear Dr. Jason,
Thanks for your reply. For DISCON, yes it is from OpenFASST r-test.
for ROSCO, I got it from

I tested both turbines under DLC 1.1 under wind speed range from cut in to cut out with intervals 2 m/s .

Regards,
Marwa

Dear @Marwa.Mohamed,

Thanks for clarifying the source of the ROSCO controller.

How did you derive the torque-speed curve from simulations of DLC 1.1?

Best regards,

I request the output of GenTq [kN-m] and GenSpeed [rpm] for every wind speed from cut in to cut out and got the (min, mean, max) from pyDatView. then I plot the curve between the Max of GenTq and Max of GenSpeed.
when I plot the mean value of the 2 outputs in Region 3, they almost have the same value
I attached my results

Regards,
Marwa

Dear @Marwa.Mohamed,

I would guess you are biasing your results by not pairing GenTq and GenSpeed at the same time steps. What does the torque-speed curve look like if you simply plot GenTq and GenSpeed at each time step for a given load case simulation (and how do these plots compare between simulations)?

Best regards,

Dear Dr, Jason,
Do you mean that? Am I understand right?
DISCON, but why there is backword portion of the curve?


ROSCO

Am I understand right? and How to got a smooth line for the plots like your thesis please?

Regards,
Marwa

Dear @Marwa.Mohamed,

Indeed, these results are making more sense to me now, although I’m not sure why ROSCO has a wider spread (must be different control logic than implemented in DISCON).

The negative slope in Region 3 ensures constant power in Region 3 (as speed increases, torque must decrease to maintain constant power).

The figure from my thesis (and NREL 5-MW specifications report) shows an analytical expression for the torque-speed curve. I would expect that the parametric plot of GenTq and GenSpeed from different time steps that you are showing to match the analytical expression “on average”, which it seems to do.

Best regards,

Thanks Dr. Jason for your time and detailed answer.

Regards,
Marwa