So I had the same problem only the machine (Macbook a1342) did not at all want to start. Magsafe stayed green. I replace the DC board and voila, the Macbook was back to live and magsafe light was orange. Charging went well and soon got on 20% To see what would happen, I decided to unplug the magsafe from the machine while having the charger in the outlet. That I plugged the magsafe back onto the machine and I heard and saw a sparkle. Now the light states green but the charge seems normal. I am afraid the DC board is damaged again somehow and wonder why. The charger has the correct value 60W a1344 for the Macbook a1342.
I've been trying everything. Magsafe stay's green, when powering up de machine (Macbook 6.1) with the battery connected, I hear the chime, see the apple logo on the screen and than the machine switches off. When unplugging the Magsafe, holding the power button for 10 secs, connect the magsafe while still holding down the power button for 10 secs. once more hitting the power button, the machine swithes on with vens full speed. With or without battery connected, the battery sign in the displays shows a black cross and is not charging. Magsafe stay's green When battery is connected, I need to do SMC reset, than unplug the battery, hit the power button in order to switch on the machine. Magsafe stay's green. I noticed that the Magsafe green light blink's off and on every 6 secs