1503-44 said:
Maybe I'll understand better if you can explain to me how a regulator or any other control valve can modulate as needed to change DP without changing flow. IMO, that is not hydraulically possible.
You have three variables, not two: Flow, Cv, and DP. For any given flow, any possible DP can be generated with the correct Cv.
All right, here we go. A 50 bar reservoir is connected to a distribution header feeding a plurality of users. In between is a regulator set at 20 bar. Lets say four users are currently active. Each takes a constant flow of water

via a positive displacement pump. The regulator is whatever % open creates a Cv that gives 30 bar DP at flow (4n). Now the pressure in the reservoir changes instantly to 45 bar. The users are still chugging away. The regulator is still at the same % open, so the Cv is the same, the flow is still (4n), so the DP across the regulator is still 30 bar. Outlet pressure therefore 'instantly' drops to 15 bar. The regulator senses the error of -5 bar at its outlet and starts to open in response. It's slow because someone put a 6 ft long actuator on it for some reason. The valve is slightly more open now, and Cv has increased. Flow is still (4n), but DP has now decreased from 30 bar to 29 bar. The outlet pressure is 16 bar now. Cv creeps higher as the valve keeps opening ever so slowly, DP is now 28 bar. Flow still (4n), outlet pressure is now 17 bar.
This goes on until finally the regulator has caught up and reestablished the set point. Inlet pressure is now 45 bar, outlet pressure is back to 20 bar. Flow is still (2n). DP is now 25 bar. The valve has modulated as needed to change DP without changing flow.
But wait! Lets kick on another user. Flow is now (5n). Our slow valve is only open enough to generate 25 bar DP at (4n), so the DP jumps to 39 bar. Outlet pressure is now a pitiful 6 bar. The slow regulator starts to open again and finally comes to rest at some Cv that gives 20 bar outlet at (5n) flow. With 45 bar inlet, DP is now back to 25 bar and all is right in the world. The valve has modulated as needed to change DP without changing flow.
But wait! The reservoir magically goes back to 50 bar now. The regulator adjusts again, and comes back to some Cv that gives the required 20 bar outlet and 30 bar DP, at (5n) flow. The valve has modulated as needed to change DP without changing flow.
At no point in this excruciatingly long and wordy exercise did the regulator changing position cause a change in flow. The regulator (or a PID controlled actuated valve operating on downstream pressure) reacts to flow changes based on demand when they impact the outlet pressure, sure, but it does not directly change the flow rate (short of maxing out its travel). Replace the PD users above with an FCV that holds a set flow and the scenario is the same as OP's.