I think your English is well enough.
I'm trying to express that just because your equipment powers up and boots into Windows, doesn't mean it's working 100% without error. There can easily be bit errors taking place in the RAM modules, hard drive, etc. Running tests specifically designed to verify those things is usually done to ensure it isn't happening.
The power supply can be putting out incorrect voltages. Some equipment may function with more tolerance, but it could be affecting the correct working of your graphics card. Without testing the power supply, we can only assume it's working.
Even if you never test any of the other equipment, the most likely causes of the problem in my opinion are either an incompatibility between your graphics card and replacement motherboard, or simply a defective graphics card. The test for that is to swap in another graphics card, or to test your current graphics card in a known good system and see if you can boot with it there. I realize getting a different graphics card to test isn't always a possibility, and the same goes for getting a second PC with which to test the graphics card, but at least you can run with the integrated graphics and should have a system that's usable, if not for gaming in the mean-time.