It appears that a 5000 or 6000 watt 230 VAC generator is large enough to operate my AC/DC 225/125 welder using a 1/8 inch diameter E6010. Please confirm.
It does appear (if you do the math) that you should be able to use 1/8 in. and smaller diameter electrodes with an AC/DC 225/125 powered by a 5000 or 6000 watt generator. Unfortunately, the design of the transformer on the AC/DC 225/125 is not efficient enough to be powered by a small generator. If you try and weld with this combination you will most likely experience the electrode being hard-to-strike and also the electrode frequently sticking to the work.
If you are fortunate to establish an arc, the arc will tend to pop out frequently. Also, there will not be adequate heat input to the work, resulting in low weld quality (poor fusion), and poor bead appearance.
To successfully run your AC/DC 225/125 welder you would need a minimum of a 15,000 watt AC generator.