Dantpalgal,
Try charging after sunset when there is no power generation. I have 4.1 kW DC solar on my roof and never experienced any problems, although my typical charging occurs at night (have net metering). I use exclusively upgraded EVSE at home, mostly at 120V. The only problem I had was when attempting to use the remote while charging at 240V - charging will stop and re-plugging is required to resume charging. However, when fully charged, the remote can be used to set and use the climate control.
More information in this thread:
http://myimiev.com/forum/viewtopic.php?f=2&t=198&start=20
If you have problems charging with three different chargers, something might be wrong with the car not EVSE's, you should take it to the dealer.