A mi me paso algo parecido y era porque el módulo bluetooth se había separado de la placa ( va con un click). Si no lo reconoce o no está todo en orde, la consola no funciona. De todas formas revisa estas cosas:
Wii will not turn on or boot ¶
Game console is not turning on.
AC adapter reset
Most power issues with the Wii can be fixed by resetting the AC adapter. Unplug the AC adapter from both the outlet and the console and let it sit for at least 2 minutes. Plug both ends back in, making sure that the adapter is plugged directly into a wall outlet, not a surge protector or power strip.
Bad power supply
The power supply to your Wii could have gone bad, which would keep the console from receiving power. Connect a known working power supply to your console. If it works with the new power supply, then your power supply has gone bad and needs to be replaced.
Bad wall outlet
It is possible that the outlet the console is plugged into is bad. Plug another device such as a lamp into it to check it. Also, be sure that the outlet is not controlled by a wall switch. If it is, make sure that the switch is on.
Bad Bluetooth board
A common source of failures in the Nintendo Wii is the Bluetooth board. If it and the Wi-Fi module are not fully functional and properly attached to the motherboard, the system will not boot.
Try reseating both the Bluetooth and Wi-Fi boards. If possible, try swapping the Bluetooth module with a known working one to determine if that is the cause.
Bad motherboard
If the power supply and wireless boards are fine, then the problem is likely the motherboard. Replace the motherboard with a new one.