Assuming you don't have an electrical fault, this is fairly typical of what you would expect on a turbulent site. I also suspect that you are running well stalled, the current fluctuates more under these conditions.
Current from wind is never steady, I often marvel at the precision of currents quoted here, that may be the case with a tower about 80 ft tall but I never see these conditions. Fluctuations from 2 to 30A within seconds are not uncommon.
It is this intermittent nature of wind that lets many of those badly overloaded machines survive. You may have peaks of 1Kw and an average power of perhaps only 300W.
This variable current is one of the things that make charge controllers less than ideal. The charge algorithms for batteries are based on charging from a constant source at regular intervals. When you are charging and discharging at changing rates as and when you can, it is difficult to keep track of state of charge.
Flux