12v charging comes on and off again.

Hello, I'm new here. I am using a 2009 model gen 2 prous. The other day the car suddenly turned on all the fault lights and after a while the engine stopped. On the display test screen, I observed that sometimes it was charging at 14.2 volts, and sometimes (while the car was running) it suddenly dropped to the 11-12 volt range. Anyone have any ideas as to why this is happening? I can't understand it with an OBD device. Errors are already coming from all systems because the power drops. I noticed that this problem occurs when the car warms up. As far as I know, the 12v small battery is charged by dc invertor. Should I replace the invertor? Where should I look in the charging system? Thank you very much in advance.

 

I loaded a video but I can't load it on priuschst. today I changed the inverter but problem still continues.

 

I checked the 12v battery terminals, they are all connected tightly. Honestly, I replaced the inverter today, but the problem still persists. If the car is cold, it is not a problem. When the car starts to warm up, that is, when I drive for a while. When I turn on the air conditioner, the air conditioner starts to warm up slightly and turns off, and then all the lights start to turn on. Check the signal on the small screen. I follow the voltage from the mode. I see that the voltage drops to 12v, then immediately becomes 14v. If I continue driving, 14v never comes and the battery slowly drops to 10v and the car turns off completely.

Now I changed the inverter. But the problem continues. Which parts charge the Small Battery? Does the possibility that the hybrid battery is defective cause this result? Does the transmission have anything to do with the charging system? Now there is a red triangle on my screen and all the fault lights are on.
And exhaus is broken.

The problem occurs when the car turns on the fan, that is, when it warms up.

 

Now I saw that my fan was running constantly and although I opened the radiator cap while it was hot, there was no pressure, the radiator and the water in it were cold. Could it be that the vehicle is cutting off its charge because there is a thermostat problem or a water pump problem? I apologize to everyone for writing too much, but believe me, I have no choice but to write to you.

 

I checked and giving p0a93 inverter cooling performans. Have I to change inverter pomp?

 

Yes thanks everyone I changed the inverter circulation pomp and it fixed. If anybody live the same problem he/she must be this part.