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component of vrdqs. The (Lm/Ls)ωsfλsq term contributes to vrds; the term is approximately zero due to the orientation frame. The (Lm/Ls)ωsfλsd term dominates the vrqs component. The shape of the (Lm/Ls)ωsfλsd component is clearly influenced by ωsf.
5. DISCUSSION
This analysis enables the vrds and vrqs components to be characterised by the dominant terms. The λs orientation frame results in the λsq feed forward term in vrds being negligible and so the steady state vrds component is a result of Rrsirds σωsfirqs. Three distinct regions can then be identified, sub-synchronous speed (low irqs due to low load so vrds is approximately Rrsirds), about synchronous speed (ωsf is around 0 so vrds is approximately Rrsirds) and supersynchronous speed (irds and irqs are comparable due to higher load torque and high stator power factor so vrds is approximately Rrsirds σωsfirqs). The transient response of vrds for a step in irds* is dominated by the pσirds. The p(Lm/Ls)λsd term has a negligible effect as the λsd term is constant assuming a stiff grid. An irds* step affects both the steady state value of vrqs and the steady state terms in vrds.
The steady state vrqs component is dominated by the λsd term, confirmed by Hopfensperger et al [9] (with the exception of synchronous speed when the steady state vrqs is dependent on the Rrsirqs term). The transient response of vrqs to an irqs* step is dominated by the pσirqs term as the differential of the step change in irqs is initially high.The p(Lm/Ls)λsq term has a negligible effect as λsq is approximately zero. The vrds term and the steady-state terms in vrqs all experience a change in value due to the irqs* step.
6. CONCLUSIONS
This paper has investigated the controller response for the DF and IG mode connections for a 2 MW DFIG wind turbine. The machine parameters for the 2 MW machine were provided, for a commercially available WRIM used in wind turbines, by the manufacturer. The 2 MW machine parameters used in this work are not simply a linear scaling of prior work on a 7.5 kW machine and so the characteristics are not identical between the two machines. Two areas of analysis have been investigated with respect to the 2 MW DFIG. Existing simulation models have been used to evaluate the controllability and steady-state and transient behaviour of a 2 MW DFIG in DF and IG mode. The outcome shows that IG mode is a controllable mode of operation which will extend the low speed operation as rotor voltage decreases (as speed reduces) and so the voltage limit of the IGBTs will be respected as will the current and power limits of the machine and converter. The composition of the rotor voltage was
investigated in DF mode for the 2 MW DFIG. This showed how the importance of the decoupling equations on the performance of the DFIG varied with speed.
ACKNOWLEDGEMENTS
The authors are grateful to FKI Industrial Drives and the EPSRC for their support.
REFERENCES
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