The power bar orange light is on but the console won't turn on

SOURCE: power cable light is orange and xbox 360 wont turn on

try checking the usb is it damaged? the pins in the usb may be shorted to ground..pry any pins up and the system will work..this happened to me.

SOURCE: I have a Yellow Led light on power bar, xbox will not turn on

Here ya go! This should help you out, I have also had this happen to me. Don't worry, its nothing like the red circle of death.
http://xbox-360-problems-fix.blogspot.com/2007/11/xbox-indicator-lights.html

Orange or Yellow Indicator Light

When the Xbox 360 power supply light is orange or yellow this means there is no problem with your console but the power supply can't supply it with power.

To remedy this problem, first try unplugging the Xbox 360 power supply from the console and unplug the power cord from the wall outlet. You'll also want to uplug the Xbox 360 power supply from the power cord.

Wait for about five minutes and then reconnect everything. You might also want to try plugging it into another wall outlet without an extension cord.

If you are still getting an orange or yellow indicator light, then something is at fault with the Xbox 360 power supply. If this is the case, contact the Xbox 360 customer support to get a new one.
Hope this helps you out! Don't forget to rate me :)

SOURCE: xbox wont power on past orange brick light

You need to have the 3 red light fix service. We can fix it for you. We are a listed repair service on this site. Here is a link to our 3 red light service.
http://www.videogamerepairservice.com/catalog/item/5675532/5556610.htm