When the projector is turned on, the green light

https://www.avsforum.com/threads/sony-vpl-vw100-fan-problem.1436744/

1,Check the fans ,whether each fan is running,when you turn on the projector
2,if the fans run, then ,check the lamp or lamp ballast

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I think you mean "VGA" not "AVG". You can use the VGA to S-Video adapter to connect the laptop to the projector however you may get better results using a VGA to A/V (component) adapter to feed video into the RCA video input connector.

Btw, I’m available to help over the phone in case u need at https://www.6ya.com/expert/dave_fb2c45146b845cea

Try getting a can of compressed air and cleaning the fans out

If the projector has a lens cap, you have to help the projector to open it completely. Just use your finger and push the cap all ther way. On the projector I have this vis the case. there is a micro switch at the end og the lens cap opening mechanism.

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Check fan cable

Check all In/Out fan and also check is it clean or not

These instructions are for a Sony Cineza VPL HS3, but may be the same for the HS3.
1st thing to check - is the cover properly/completely closed - this can stop the projector from working.
Connect the power and set the projector to standby mode.
Press these buttons on the remote control in this order, for less than 5 seconds each.
Reset - Left Arrow - Right Arrow - Enter

This is required, to reset the lamp timer.

Also, something I found interesting from the internet - lamp life isn't when the bulb dies, but when a bulb has lost 10% of its brightness - so you might well be able to reset the timer and get much more use from the bulb - the image just wont be as bright.

These instructions are for a Sony Cineza VPL HS3, but may be the same for the HS2
1st thing to check - is the cover properly/completely closed - this can stop the projector from working.
Connect the power and set the projector to standby mode.
Press these buttons on the remote control in this order, for less than 5 seconds each.
Reset - Left Arrow - Right Arrow - Enter

This is required, to reset the lamp timer.

Also, something I found interesting from the internet - lamp life isn't when the bulb dies, but when a bulb has lost 10% of its brightness - so you might well be able to reset the timer and get much more use from the bulb - the image just wont be as bright.

Projector on Standby, press RESET, <<=, ==>, ENTER to reset lamp timer.