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Q3. a) A variable-speed full power converter (FPC) based wind turbine has the characteristic of Figure Q3. The generator used is a synchronous generator. The turbine operates at its rated speed (1800 rev/min) in a wind speed of 12 m/s. At rated speed the frequency modulation index of the wind turbine side voltage source converter is 30. 1.4 13 m/s 1.2 Pitch angle control 1 12 m/s 0.8 11 m/s Power (pu) : 0.6 Electronic control for maximum power extraction 10 m/s 9 m/s 0.4 0.2 8 m/s 7 m/s 6 m/s 5 m/s 0 0 1 0.2 0.4 0.6 0.8 1.2 Generator rotational speed (pu) Figure Q3. Variable-speed wind turbine characteristic What should be the modulation index at a wind speed of 10 m/s to extract maximum power? [9 marks]