Dear Jason,
I’ve already implemented successfully the mentioned sophisticated controller for the Baseline 5MW turbine.
However, I mention this simple controller as I’ve made a mistake in my first tries to run FAST.
I’ve set the VSContrl = 1 expecting it will work fine, but that was not the case.
Anyway, here how I’ve calculated these values.
Omega_Rotor_Rated = 12.1 [rpm]
Omega_Gen_Rated = Omega_Rotor_Rated * GearBox ratio = 12.197 = 1173.7 [rpm]
Omega_1 = Omega_Gen_Rated(1-0.06) ) = 1103.3 [rpm] % Region 2 1/2 starts when Generator speed is less than rated by 6%
Omega_2 = Omega_Gen_Rated*(1-0.01) ) = 1162 [rpm] % Region 2 1/2 starts when Generator speed is less than rated by 1%
C_p_max = 0.48546 @ TSR = 8 & BlPitch = 0 [deg] % From the files provided
R = 63 [m]
Precone = -2.5 [deg]
rho = 1.02 [kg/m^3]
Rated_Gen_Torque = 43093.55 [N.m]
k_LSS = 0.5 * rho * pi * (R*cos(-2.5))^5 *C_p_max / TSR^3 = 1.5005e+006 [N.m.s^2] on LSS side
k = k_LSS * (pi/30)^2 (1/97)^3 = 0.0180 [Nm/rpm^2] % Q_gen = kOmega^2 where Omega in rpm, Q_gen in N.m
Q1 = k * Omega_1^2 = 21946 [N.m]
Q2 = Rated_Gen_Torque
In Region 2 1/2 we have
Q_gen = Q1+ ((Rated_Gen_Torque - Q1)/(Omega_2 - Omega_1))(Omega - Omega_1)
for Q_gen = 0 then Omega_0 = 1042.3 [rpm]
making use of this equation:
Omega_2 = SIG_SySp( 1 + 0.01*VS_SlPc ) % Where SIG_SySp == Omega_0
VS_SlPc = 11.4807 %
Finally
VS_RTGnSp = Omega_2 = 1162 [rpm]
VS_RtTq = 43093.55 [N.m]
VS_Rgn2K = k = 0.018 [Nm/rpm^2]
VS_SlPc = 11.4807
I hope it is clear enough.
Best Regards
Rannam Chaaban