I agree with SRT, with an emphasis on low wattage.

Use a 60/40 rosin-core based solder. Try and get a smaller diameter as well.

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After following the above advice, ensure you are turning on your Xbox 360 with the power button and not the eject button.

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It's not voltage you need to be worried about but amperage. If that power supply isn't supplying enough its going to fail.

Why not just use an original MS OEM slim power supply for a trinity syste ...

I don't understand how you've made your own power supply/cord. Can you post a pic of this?

Also is this problem emulated on both NAND's?

You will need to download all the parts and extract them into one ISO. These are called rars. You can use winrar or 7zip.

Do you have access to another power brick? Or can you test this power brick on another Xbox 360 slim system?

You still haven't answered my questions.

You need to modify your dash launch settings. Specifically liveblock settings.