Thanks AuthurDent for your reply. Sorry, my question was very confusing, I'll try again. When I said current limiting power supply, I actually meant a benchtop lab power supply with constant voltage/constant current mode. I was wondering what would happen if you pass more current through it than the set current limit. One way of doing that is by putting another regular constant voltage power supply in series.
Let's say a linear load demands more current than the set current limit. The current limiting power supply will immediately go to constant current mode and decrease the voltage so that the current does not go beyond the set limit. However, let's say the second power supply in series is still providing current more than the set limit of the first power supply.
This will definitely confuse the constant voltage/constant current circuitry of the first power supply. what would be the consequences of that?