By Petersson Andreas
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Additional resources for Analysis, modeling and control of doubly-fed induction generators for wind turbines
Since it is difficult to measure the torque, it is most often controlled in an open-loop manner. Therefore, the q component reference current, iref Rq , ref can be determined from the reference torque, Te , as iref Rq Teref =− . 81), the approximation ψˆs ≈ Eg,nom /ω1 can be used. Fig. 12 shows a block diagram of the open-loop torque control scheme. Teref − 1 3np ψˆs iref Rq Fig. 12: Block diagram of the open-loop torque control. , with the bandwidth αc , should be set much faster than the speed dynamics, the speed can be controlled in cascade with the current.
Fig. 74) if all model parameters are assumed to be accurate. 76) This means that the above choice of Ra will force a change in the back EMF to be damped with the same bandwidth as the closed-loop current dynamics. 77) αc,min = (RR + Rs )/Lσ . u. is reasonable , corresponding to a rise time of 1 ms at a base frequency of 50 Hz. 74), with and without “active resistance”: Gr (ω) = |GEi (jω)|kR =1 = |GEi (jω)|kR =0 (RR + Rs )2 + ω 2 L2σ . 79) which shows that while the “active resistance” has little impact on high-frequency disturbances, the damping of low-frequency disturbances is significantly improved, since, typiαc Lσ .
The “active resistance” is used to increase the damping of disturbances and variations in the back EMF. 47 Similar approaches have been used for the squirrel-cage IG [18, 41]. How to choose the “active resistance” will be shown in next section. 69), the d and the q components of the rotor current will not be decoupled. In  it is stated that the influence of the decoupling term jω2 Lσ iR is of minor importance, since it is an order of magnitude smaller than the term jω2 Ψs . Nevertheless, here the d and q components of the rotor current will be decoupled, since for a DSP-based digital controller it is easy to implement.
Analysis, modeling and control of doubly-fed induction generators for wind turbines by Petersson Andreas