Centrifugal pump operation

1. A computer implemented method for controlling a hydraulic pumping system, the system comprising a centrifugal pump operating at a functional point, the method comprising:

estimating a suction pressure of the centrifugal pump representing a pressure at an entry point of the centrifugal pump;

estimating a discharge pressure of the centrifugal pump representing a pressure at an exit point of the centrifugal pump;

computing a current head of the centrifugal pump based on the suction pressure and on the discharge pressure;

determining a theoretical head based on a value of a specific functional parameter linked to the functional point of the centrifugal pump in the system and on end of line characteristics of the centrifugal pump;

computing a head difference between the current head and the theoretical head by subtracting a current head value from a theoretical head value, or vice versa; and

determining, for the functional point, an adapted Net Positive Suction Head Required valve aNPSHr value, of the centrifugal pump, based on the head difference and on the end of-line characteristics;

wherein the adapted aNPSHr is determined and used in place of a new condition or manufacturer provided Net Positive Suction Head Required value (NPSHr) in real time for controlling the hydraulic pumping system comprising the centrifugal pump operating at the functional point.

2. The method according to claim 1 wherein the specific functional parameter is one of a motor power of the centrifugal pump or a flow of the centrifugal pump.

3. The method according to claim 1 wherein the end of-line characteristics comprise a plurality of representations, each representation being associated to a specific speed of the centrifugal pump, each representation associating values of a first respective reference parameter to values of a second respective reference parameters, the first respective reference parameter differing from the second respective reference parameter.

4. The method according to claim 3 wherein one of the first or second reference parameters corresponds to the specific functional parameter.

5. The method according to claim 3 , wherein the first or the second reference parameters correspond to one of a motor power of the centrifugal pump, a flow of the centrifugal pump, a Net Positive Suction Head Required, NPSHr, of the centrifugal pump or a head of the centrifugal pump.

6. The method according to claim 3 wherein the specific functional parameter is a functional flow of the centrifugal pump, the plurality of representations comprising a head/flow representation associating values of flow to values of head, and a NPSHr/flow representation associating values of flow to values of NPSHr,

wherein determining the theoretical head comprises selecting a head value of the head/flow representation based on the functional flow of the centrifugal pump; and

wherein determining the aNPSHr value comprises selecting a NPSHr value of the NPSHr/flow representation based on the functional flow of the centrifugal pump.

7. The method according to claim 3 wherein the specific functional parameter is a functional motor power of the centrifugal pump, the plurality of representations comprising a head/power representation associating values of motor power to values of head and a NPSHr/power representation associating values of motor power to values of NPSHr,

wherein determining the theoretical head comprises selecting a head value of the head/power representation based on the functional motor power of the centrifugal pump; and

wherein determining the aNPSHr value comprises selecting a NPSHr value of the a NPSHr/power representation based on the functional motor power of the centrifugal pump.

8. The method according to claim 6 wherein the aNPSHr value is obtained by adding the selected NPSHr value and the head difference.

9. The method according to claim 1 wherein the specific functional parameter is a functional flow of the centrifugal pump and wherein the method also comprises:

acquiring the functional flow of the centrifugal pump by a flowmeter.

10. The method according to claim 1 wherein the method also comprises:

pumping, with the centrifugal pump, a fluid having a density higher than the density of water, and/or pumping, with the centrifugal pump, a fluid comprising solids.

11. The method according to claim 1 , wherein the method also comprises:

determining a Net Positive Suction Head Available value, NPSHa value, based on the suction pressure; and

triggering a cavitation alert when a difference between the NPSHa value and the aNPSHr value is below a predetermined threshold.

12. The method according to claim 11 , wherein the cavitation alert comprises several levels of alerts depending on the value of the difference between the NPSHa value and the aNPSHr value.

13. The method according to claim 1 , wherein an identification number is associated to the centrifugal pump and the method also comprises:

storing the aNPSHr value along with the identification number of the centrifugal pump into a memory of a data processing apparatus.

14. A non-transitory computer-readable storage medium comprising instructions which, when executed by a processor, cause the processor to carry out the method of claim 1 .

15. A data processing apparatus comprising a processor configured to control a hydraulic pumping system according to the method of claim 1 .