@babarhailian
aOa,
Here is what I want to tell you,
http://www.greenpower.cn/image/service/6-Common%20Spare%20Part%20List.pdf
Open it up and on page 2 see entire right. Its the charge coil, It is under the flywheel. Its JOB is to charge battery at maximum 8.3A @12 Volts. If your battery is too low on charge, You can crank it only after 2 or 3 hours of generator working, but that will die soon as well. A classical symptom. Remove the battery take to shop or charge is for 4 - 5 Hours on UPS charger with opened lids. Put water if needed. Battery terminals must be cleaned with green AXE blade from the inner round and the area where wires meet. And it should be very tight on battery and wire.
Take battery terminals cleaning and tightness very seriously.
I Still believe that wire of your HT coil need a Thick Sleeve, Its hard to explain here everything by words. That black wire is mostly bad. I have observed it in nights with many generators. They leak current with other metal parts.
Voltage of specific higher frequency really jump through the cable insulator from outside, to metal parts and living things.
Chinese generators have this manufacturing fault. Their insulator of the cable is so bad. Copper wire strands are not always in the middle of the insulator, Some-times they are close to the rubber some time more than adequately far.
If you get Heat-Shrinks of the same size, Tape the wire and put that heat shrink on that wire from one end to the other. It will never happen again in generator life time. or change that prescribed wire with the known Quality one.
OmRON