By Petersson Andreas
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Extra info for Analysis, modeling and control of doubly-fed induction generators for wind turbines
7) The back-to-back converter can be seen as two converters which are connected together: the machine-side converter (MSC) and the grid-side converter (GSC). For the MSC, the current through the valves, Irms , is the stator current for the VSIG system or the rotor current for the DFIG system. One way of calculating Irms for the GSC is by using the active current that is produced by the machine, adjusted with the ratio between machine-side voltage and the grid voltage. The reactive current can be freely chosen.
The losses of the converter can be divided into switching losses and conducting losses. The switching losses of the transistors are the turn-on and turn-off losses. , reverse-recovery energy. The turn-on and turn-off losses for the transistor and the reverse-recovery energy loss for a diode can be found from data sheets. The conducting losses arise from the current through the transistors and diodes. The transistor and the diode can be modeled as constant voltage drops, VCE0 and VT 0 , and a resistance in series, rCE and rT , see Fig.
89) Then the active and reactive power, neglecting the derivative of the stator flux, can thus be written as Ps = 3Rs |is |2 + 3ω1 (ψsd isq − ψsq isd ) Qs = 3ω1 (ψsd isd + ψsq isq ) . , ψsd = ψs and ψsq = 0, the above is reduced to Ps = 3Rs |is |2 + 3ω1 ψs isq = 3Rs |iR |2 − 2 Qs = 3ω1 ψs isd = 3ω1 ψs ψs ψ2 iRd + 2s LM LM ψs − iRd . 93), still holds approximately since Rs can be considered as small. 94) the DFIG is operated at unity power factor. Closed-Loop Reactive Power Control Since the flux for a DFIG system can be considered as constant, there will be a static relationship between the reactive power and the d component of the rotor current, GQiRd .
Analysis, modeling and control of doubly-fed induction generators for wind turbines by Petersson Andreas