Two limitations should be considered:
At low wind speeds, the load current can slow down or effectively stall the wind generator. At high wind speeds, the output power may exceed the LED power. To get an idea of the possible converter operation range, you would determine a load characteristic for different wind speeds. As long as you don't need to limit the power delivered to the LED, there will be a maximum power point for each wind speed.
You have to find out, if boost operation is of any practical interest, or if the output power is too low for output voltages that might need boosting.
I agree with Chuckey that a simpler AC/DC converter possibly can work for the application.
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I do not believe that these circuits are suitable, because when you read the papers, they talk about 50 KHZ and then work out the storage components (4.7 * 10^-6 H + 500MFD). Your windmill will be producing a few hundred Hertz (at the most) when its is producing 3V. Get the frequency up as high as possible by using more pick up coils in the wind turbine and a transformer to step up the AC before turning it into DC. Use a constant current generator to power the LED.
50 kHz is the PWM frequency and isn't related to the AC input. The circuits in the two papers are primarly intended for 50/60 Hz input. The component values should be however scaled to the actual voltage and power range. In addition, you'll better add an input filter capacitor to prevent switching frequent losses in the generator impedance.
I'm not sure if the considerable circuit effort pays for the windmill application. But if you want it just as a demonstration of the converter principle without a circuit complexity versus point x percent efficiency improvement trade-off, it can still make sense.