You will, of course, need to ensure it is a pure sinewave inverter. Additionally, it needs to be current limited or current controlled. This results in a lower voltage under heavy draw instead of shutting off at a heavy draw. There really isn't a minimum wattage per se, but the lower the wattage, the slower the recycle times. For example, a 300W inverter will recycle a 320Ws light to full in about 1 second. A 150W inverter will recycle the same light to full in about 2 sec, etc. However, a 600Ws inverter will not charge that light in .5 seconds, but it will charge two lights in 1 second.
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