I had a similar problem with an Epson projector. I suspect the lamp and/or the ballast are faulty. When I start the projector, I think it tries to communicate with the ballast, gets some bad information and then stops after about 20 seconds without any status (all LED indicators stay off).
I read that ballasts may be some clever devices and communication protocols may be proprietary. At least, I could not find any documentation about that specific Epson one and the support did not want to make technical information public.
So I am still wondering if there are some solutions to test the combination lamp/ballast