I probably have a different perspective on this than most of the others. If this was a pipeline application, it might be that the pump is run with no control valve. This would be a case where the pump would run at the intersection of the pump curve and the system curve. Cutting the impeller down should reduce the pump head which would reduce the flow rate in this type of system.
However, I suspect you have a system that is more like the type I see in a refinery that use some sort of flow control. In these systems, they don’t run to the intersection of the pump curve and the system curve. They run to some constraint. The constraint might be a flow target set by the process engineers. It might be holding a constant level upstream or downstream. Or, it might be something like motor amps. If your operators have a meter to check motor amps, they might be controlling the flow to keep from tripping the motor off. If the flow is controlled by pinching on a valve, then this makes perfect sense. When the impeller was trimmed, the performance of the pump would change based on the affinity laws. As impeller diameter is reduced, the brake horsepower drops as the cube of the diameter. The pump head drops as the square of the diameter. So, if the operators were pinching down on a valve to keep from tripping the motor off, they would be able to get more flow after the cut because of the reduction in BHP.
I could describe this another way. With the larger impeller, you were building more head than you needed and dropping it down across a pinched valve. This is wasteful and inefficient. After the impeller was trimmed, the valve was opened further because the motor horsepower was lower, even at the same flow. Less energy was being wasted by the pinched valve. This energy would then be available to push more flow through the system.
Please confirm if the flow was being pinched back before and after the impeller was cut down.
Johnny Pellin