Method for approximating a static head of a fluid transfer system
The present disclosure is directed to a method and apparatus for approximating a static head of a fluid transfer system including a fluid transfer device. The method can include determining a rotational speed and a power consumption of the fluid transfer device, determining a first set of data points, calculating a second set of data points on the basis of the first set of data points, determining a minimum rotational speed producing flow through the fluid transfer device on the basis of the second set of data points, and determining the static head on the basis of the minimum rotational speed.
1. A method for approximating a static head of a fluid transfer system having a fluid transfer device, the method comprising:
determining a rotational speed and a power consumption of the fluid transfer device;
determining a first set of data points, wherein a data point of the first set represents a power consumption at a rotational speed;
calculating a second set of data points based on the first set of data points, wherein a data point of the second set represents a rate of change of the power consumption at the rotational speed of the data point of the first set, wherein the rate of change of the power consumption is a function of the rotational speed;
determining a selected rotational speed producing flow through the fluid transfer device based on the second set of data points; and
approximating a static head based on the selected rotational speed,
wherein determining the selected rotational speed comprises:
for each data point in the second set:
calculating a cumulative average of a rate of change on the basis of previous data points;
comparing the rate of change of each data point with the cumulative average; and
if a difference between the rate of change of each data point and the cumulative average exceeds a set limit, using the rotational speed of each data point as the selected rotational speed.
2. The method as claimed in claim 1 , comprising:
using a torque of the fluid transfer device as an indicator for the power consumption.
3. The method as claimed in claim 1 , wherein calculating the second set of data points comprises:
selecting a first data point and a sequentially adjacent second data point from the first set;
calculating a power consumption difference between the power consumption of the first and the second data point;
calculating a rotational speed difference between the rotational speed of the first and the second data points; and
dividing the power consumption difference by the rotational speed difference.
4. The method as claimed in claim 1 , wherein approximating the static head comprises:
determining a shutoff head at a selected shutoff rotational speed; and
calculating the static head on the basis of the shutoff head, the selected rotational speed, the selected shutoff rotational speed, and affinity laws.
5. The method as claimed in claim 4 , wherein calculating the static head comprising:
multiplying the shutoff head by a square of a ratio between the selected rotational speed and the selected shutoff rotational speed.
6. The method as claimed in claim 1 , wherein the selected rotational speed is a minimum rotational speed producing flow through the fluid transfer device.
7. An apparatus for approximating a static head of a fluid transfer system having a fluid transfer device, wherein the apparatus comprises:
a frequency converter configured to:
determine a rotational speed and a power consumption of a fluid transfer device;
determine a first set of data points, wherein a data point of the first set represents a power consumption at a rotational speed; and
a processor configured to:
calculate a second set of data points based on the first set of data points, wherein a data point of the second set represents a rate of change of the power consumption at the rotational speed of the data point of the first set, wherein the rate of change of the power consumption is a function of the rotational speed;
determine a selected rotational speed producing flow through a fluid transfer device on the basis of the second set of data points; and
approximate a static head based on the selected rotational speed;
wherein the processor is configured to determine the selected rotational speed by:
for each data point in the second set:
calculating a cumulative average of a rate of change on the basis of previous data points;
comparing the rate of change of each data point with the cumulative average; and
if a difference between the rate of change of each data point and the cumulative average exceeds a set limit, using the rotational speed of each data point as the selected rotational speed.
8. The apparatus as claimed in claim 7 , wherein the frequency converter is configured to:
determine a torque of the fluid transfer device as an indicator for the power consumption.
9. The apparatus as claimed in claim 7 , wherein the processor is configured to calculate the second set of data points by:
selecting a first data point and a sequentially adjacent second data point from the first set;
calculating a power consumption difference between the power consumption of the first and the second data point;
calculating a rotational speed difference between the rotational speed of the first and the second data point; and
dividing the power consumption difference by the rotational speed difference.
10. The apparatus as claimed in claim 7 , wherein the processor is configured to approximate the static head by:
determining a shutoff head at a selected shutoff rotational speed; and
calculating the static head on the basis of the shutoff head, the selected rotational speed, the selected shutoff rotational speed, and affinity laws.
11. The apparatus as claimed in claim 10 , wherein the processor is configured to calculate the static head by:
multiplying the shutoff head by a square of a ratio between the selected rotational speed and the selected shutoff rotational speed.
12. The apparatus as claimed in claim 7 , wherein the selected rotational speed is a minimum rotational speed producing flow through a fluid transfer device.
13. The apparatus as claimed in claim 7 , in combination with:
the fluid transfer device configured as a pump having a motor for rotating the pump.
14. The apparatus as claimed in claim 13 , in combination with a water container and a water circulation system.
15. The apparatus as claimed in claim 13 , wherein the frequency converter is configured to power the motor of the pump.
16. An apparatus for approximating a static head of a fluid transfer system having a fluid transfer device, wherein the apparatus comprises:
a frequency converter configured to:
determine a rotational speed and a power consumption of a fluid transfer device;
determine a first set of data points, wherein a data point of the first set represents a power consumption at a rotational speed;
calculate a second set of data points based on the first set of data points, wherein a data point of the second set represents a rate of change of the power consumption at the rotational speed of the data point of the first set, wherein the rate of change of the power consumption is a function of the rotational speed;
determine a selected rotational speed producing flow through a fluid transfer device on the basis of the second set of data points; and
approximate a static head based on the selected rotational speed;
wherein the frequency converter is configured to determine the selected rotational speed by:
for each data point in the second set:
calculating a cumulative average of a rate of change on the basis of previous data points;
comparing the rate of change of each data point with the cumulative average; and
if a difference between the rate of change of each data point and the cumulative average exceeds a set limit, using the rotational speed of each data point as the selected rotational speed.
17. The apparatus as claimed in claim 16 , wherein the frequency converter is configured to:
determine a torque of the fluid transfer device as an indicator for the power consumption; and
calculate the second set of data points by:
selecting a first data point and a sequentially adjacent second data point from the first set;
calculating a power consumption difference between the power consumption of the first and the second data point;
calculating a rotational speed difference between the rotational speed of the first and the second data point; and
dividing the power consumption difference by the rotational speed difference.
18. The apparatus as claimed in claim 16 , wherein the frequency converter comprises:
a processor.
19. A system for approximating a static head of a fluid transfer system, comprising:
a fluid transfer device;
means for determining a rotational speed and a power consumption of the fluid transfer device, and for determining a first set of data points, wherein a data point of the first set represents a power consumption at a rotational speed;
means for calculating a second set of data points based on the first set of data points, wherein a data point of the second set represents a rate of change of the power consumption at the rotational speed of the data point of the first set, wherein the rate of change of the power consumption is a function of the rotational speed; and
means for determining a selected rotational speed producing flow through the fluid transfer device on the basis of the second set of data points, and
means for approximating a static head based on the selected rotational speed;
wherein determining the selected rotational speed comprises:
for each data point in the second set:
calculating a cumulative average of a rate of change on the basis of previous data points;
comparing the rate of change of each data point with the cumulative average; and
if a difference between the rate of change of each data point and the cumulative average exceeds a set limit, using the rotational speed of each data point as the selected rotational speed.