# Analysis, modeling and control of doubly-fed induction by Petersson Andreas

By Petersson Andreas

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For small bandwidths the rejection is twice as good. 4 Internal Model Control (IMC) Due to the simplicity of IMC for designing controllers, this method will be used throughout this thesis. IMC can, for instance, be used for designing current or speed control laws of any ac machine [40, 44, 102]. The idea behind IMC is to augment the error between the process, ˆ G(p) and a process model, G(p), by a transfer function C(p), see Fig. 2. Controller design is then just a matter of choosing the “right” transfer function C(p).

It can be seen in the figure that the converter losses are lower for smaller rotor-speed ranges (or smaller converter ratings). Note, as mentioned earlier, that the stator-to-rotor turns ratio has to be 29 20 Turbine power [%] Rotor speed [rpm] 26 22 18 14 10 15 10 5 0 4 6 8 10 4 Wind speed [m/s] 6 8 10 Wind speed [m/s] Fig. 7. Rotor speed and the corresponding turbine power. 1 0 5 10 15 20 25 Average wind speed [m/s] Fig. 8. Converter losses for some different rotor-speed ranges as a function of the wind speed.

1 Aerodynamic Losses Fig. 1 shows the turbine power as a function of wind speed both for the fixed-speed and variable-speed systems. In the figure it is seen that the fixed-speed system with only one generator has a lower input power at low wind speeds. The other systems produce almost 23 Turbine power [%] 100 80 60 40 20 0 5 10 15 20 25 Wind speed [m/s] Fig. 1. Turbine power. The power is given in percent of maximum shaft power. The solid line corresponds to the variable-speed systems (VSIG and DFIG) and the two-speed system (FSIG 2).