Method and apparatus for precision phasor measurements through a medium-voltage distribution transformer
View Patent ↗A means and method for measuring precise voltage phasors on medium-voltage alternating current (AC) distribution grids, using existing distribution transformers as voltage sensors. The errors introduced by the distribution transformers are minimized by taking into account the transformer's vector impedance, combined with measuring the transformer secondary current phasor. The invention includes a means and a method of measuring the distribution transformer's vector impedance.
1. In an alternating current power distribution network including at least a medium-voltage portion having a first plurality of conductors and a low-voltage portion having a second plurality of conductors, wherein the low voltage portion is coupled to provide power to a plurality of uncontrolled loads, further including a transformer coupled between the medium-voltage portion and the low-voltage portion for transforming a medium voltage to a low voltage, and further including a single synchrophasor instrument physically at located and coupled directly to the transformer, a method of the synchrophasor instrument comprising the steps of:
coupling voltage inputs of the synchrophasor instrument with voltage sensors external to the synchrophasor instrument to thereby measure a plurality of fundamental secondary voltage phasors on the second plurality of conductors;
coupling current inputs of the synchrophasor instrument with current sensors external to the synchrophasor instrument to thereby measure a plurality of fundamental secondary current phasors on the second plurality of conductors;
using changes with respect to time in the fundamental secondary voltage phasor measurements and simultaneous changes with respect to time in the fundamental secondary current phasor measurements to determine a fundamental vector impedance of the transformer, wherein the fundamental vector impedance of the transformer is a complex ratio of the changes with respect to time in the fundamental secondary voltage phasor measurements to the simultaneous changes with respect to time in the fundamental secondary current phasor measurements; and
using the determined vector impedance of the transformer and the measured voltage phasors and the measured current phasors to determine the voltage phasors on the first plurality of conductors.
2. The method according to claim 1 wherein the step of using changes with respect to time in voltage phasor measurements and simultaneous changes with respect to time in current phasor measurements to determine a fundamental vector impedance of the transformer ignores changes below predetermined thresholds.
3. The method according to claim 2 where in the thresholds have fixed values.
4. The method according to claim 1 wherein the step of using changes with respect to time in voltage phasor measurements and changes with respect to time in current phasor measurements to determine a fundamental vector impedance of the transformer applies statistical weighting in such a way that the simultaneous changes in the fundamental secondary current phasor measurements that have a larger vector magnitude receive more weight.
5. The method according to claim 1 wherein the step of using changes with respect to time in voltage phasor measurements and changes with respect to time in current phasor measurements to determine a fundamental vector impedance of the transformer further comprises at least one of adding and removing intentional loads to and from the secondary conductors at predetermined times.
6. In an alternating current power distribution network including at least a medium-voltage portion having a first plurality of conductors and a low-voltage portion having a second plurality of conductors, wherein the low voltage portion is coupled to provide power to a plurality of uncontrolled loads, further including a transformer coupled between the medium-voltage portion and the low-voltage portion for transforming a medium voltage to a low voltage, and further including a single synchrophasor instrument physically located at and directly coupled to the transformer, the single synchrophasor instrument comprising:
voltage inputs coupled to voltage sensors external to the synchrophasor instrument to measure a plurality of fundamental secondary voltage phasors on the second plurality of conductors;
current inputs coupled to current sensors external to the synchrophasor instrument to measure a plurality of fundamental secondary current phasors on the second plurality of conductors; and
an algorithm adapted for using changes with respect to time in the fundamental secondary voltage phasor measurements and changes with respect to time in the fundamental secondary current phasor measurements to determine a fundamental vector impedance of the transformer and for using the measured voltage phasors and the measured current phasors to determine the voltage phasors on the first plurality of conductors in light of the determined vector impedance of the transformer, wherein the fundamental vector impedance of the transformer is a complex ratio of the changes with respect to time in the fundamental secondary voltage phasor measurements to the simultaneous changes with respect to time in the fundamental secondary current phasor measurements.
7. The apparatus according to claim 6 wherein the algorithm ignores changes below predetermined thresholds.
8. The apparatus according to claim 7 where in the thresholds have fixed values.
9. The apparatus according to claim 6 wherein the algorithm applies statistical weighting in such a way that the simultaneous changes in the fundamental secondary current phasor measurements that have a larger vector magnitude receive more weight.
10. The apparatus according to claim 6 wherein at least part of the changes with respect to time in the fundamental secondary current phasor measurements is caused by adding or removing intentional loads to or from the secondary conductors at predetermined times.
11. In an alternating current power distribution network including at least a medium-voltage portion having a first plurality of conductors and a low-voltage portion having a second plurality of conductors, wherein the low voltage portion is coupled to provide power to a plurality of uncontrolled loads, further including a transformer having a known effective ratio of its primary winding to its secondary winding and coupled between the medium-voltage portion and the low-voltage portion for transforming a medium voltage to a low voltage, and further including a single synchrophasor instrument physically located at and directly coupled to the transformer, a method of the synchrophasor instrument comprising the steps of:
coupling voltage inputs of the synchrophasor instrument with voltage sensors external to the synchrophasor instrument to thereby measure fundamental secondary voltage phasors on the second plurality of conductors;
coupling current inputs of the synchrophasor instrument with current sensors external to the synchrophasor instrument to thereby measure fundamental secondary current phasors on the second plurality of conductors;
determining a fundamental vector impedance of the transformer as a complex ratio of changes with respect to time in the fundamental secondary voltage phasor measurements to simultaneous changes with respect to time in the fundamental secondary current phasor measurements; and
using the known effective ratio and the determined vector impedance of the transformer, the measured voltage phasors and the measured current phasors to determine the voltage phasors on the first plurality of conductors.
12. In an alternating current power distribution network including at least a medium-voltage portion having a first plurality of conductors and a low-voltage portion having a second plurality of conductors, wherein the low voltage, portion is coupled to provide power to a plurality of uncontrolled loads, further including a transformer having a known effective ratio of its primary winding to its secondary winding and coupled between the medium-voltage portion and the low-voltage portion for transforming a medium voltage to a low voltage, and further including a single synchrophasor instrument physically located at and directly coupled to the transformer, the single synchrophasor instrument comprising:
voltage inputs coupled to voltage sensors external to the synchrophasor instrument to measure fundamental secondary voltage phasors on the second plurality of conductors;
current inputs coupled to current sensors external to the synchrophasor instrument to measure fundamental secondary current phasors on the second plurality of conductors; and
an algorithm configured to determine a fundamental vector impedance of the transformer as a complex ratio of changes with respect to time in the fundamental secondary voltage phasor measurements to simultaneous changes with respect to time in the fundamental secondary current phasor measurements, and to determine the voltage phasors on the first plurality of conductors from the measured voltage phasors, the measured current phasors, the known effective ratio and the determined vector impedance of the transformer.