SONY KV-27v36 When I turn on the tv, the picture gets shorter vertically and horizontally and then eventurally it turn itself off automatically.

Hello
What do you want? User manual for Sony kv-27v36; or service manual for kv-es34m80? Clear your post please.
OK.

you have a bad circuit see a tech

What Transformer is that? It doesn't sound like a Sony Part #
The flyback transformer fir this model is listed below:

1-453-207-11 TRANSFORMER, FLYBACK NX-2609//X4C

try to replace all filter capacitor on vertical section area that can solve your problem. 

your picture tube needs to be replaced

could be just a fuse or then again if its a plasma the light could be out either way to avoid getting shocked see a tech

Due to vertical section failure horizontal line apprears. You did not mention about picture. Green horizontal line means with picture or without picture. With picture means there is some leakage. Without picture only singe horizontal line means vertical section totally not working. Particularly green horizontal line means maybe leads to jungle ic failure. Please mention your simptom clearly what you get and what you will not get both video and audio. It will be helpful to answer. Based on your question this is my small information.

the symptom is usually caused by a breakdown in the power supply circuit. in most modern receivers (transistorized and/or ic), it may also be caused by a breakdown in the horizontal deflection circuits (hor. oscillator, pre-drive, or drive circuits). supply voltages for the tuner, video if,sound if, and vertical output are usually supplied by the horizontal output circuit. but if you doesnt know anything about these stuffs, better bring it to a qualified service tecnhician. i cannot tell you the cost to fix your tv coz my location is in the Philippines.

sounds like you got a vertical foldover and could possibly be the vertical output IC but most likly its one of the waveshaper capacitors. This repair is one that alot of repair peeps swap out caps one by one to find the defective one and some use a cap checker but the right way is to use a scope to see the waveform aplitude and the shape of the waveform. This is not a user repair as this set will get repaired down to the componet level as np boards toreplace except for the sound. Take into the shop if you dont mind spending an average of 75 to 125 bucks for this repair Good luck

bad crt or crt socket