I've looked into it for exactly this reason. 1 kW at night would go a long, long way for me. It doesn't work.
If you're lucky, a small turbine might be able to charge your phone. Maybe. Intermittently.
The turbines scale exponentially with blade size, not linearly. And none of it works well at suburb/city height. You need this things 100ft in the air with large blades.
At that point you might as well get a real one and power your neighborhood. Those things really don't scale down effectively.