I can add more to my previous reply. I took the laptop to my other charger (power unit) where the green light does not come on, turned the charger off first, and plugged the lead into the laptop. There was a fizz right there at the plug where it goes to the laptop point (even with the mains off) and the laptop reset (or attempted to). I turned on the power and nothing happened (no green light). I briefly heard the start up tone. Also, the laptop would not turn on when I disconnect despite the battery being nearly full. I took the laptop back to the 'OK' charger, plugged in and the light came on and then I had to turn the laptop on. All worked OK from then on.
So, it would appear that the other charger is faulty in some way causing the laptop to reset (or turn off). Is this the conclusion of experts on this forum? Thanks.