Can someone tell me if am I right? In constant voltage mode the op amp compares the voltage on the non-inverting input with the voltage on the inverting input and when U+ is larger than U- the load MOSFET turns on?
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Basically what you have described is a shunt regulator. Try looking in that direction and note that a lot of semiconductor chip suppliers have these as products. You might also want to look up zener diode - it is also a shunt regulator.
Can someone tell me if am I right?
Yes, you are right although a circuit like this could be very unstable.