Terry - 1Kw as Steve stated is no where near what you will need. Most heating elements are 4.5Kw, and I believe the GARN specs call for 5.5Kw elements, so you will generate onely about 1/5th of the power needed to heat a single element. The GARN backup array has ports for nine(9) elements. Three at minimum would be needed for supplemental heating, but a single element should keep it from freezing.
Conversion from DC storage to AC power requires an inverter, which introduces at least another 20% in efficiency losses. Not a viable option.
Generally speaking, ANY kind of electric resistive heating method is unsuitable for a low output DC generator like wind, pico-hydro, or solar.