Phasor estimation during current transformer saturation
View Patent ↗A method, device and computer program product for determining at least one property of a current (I p ) running through the primary winding of a transformer operating in saturation using an unreliable detected current (I s ) running through the secondary winding of the transformer. According to the invention a first reliable extreme point (EP 1 ) of a cycle of the current in the secondary winding is detected and compared with an absolute time reference. Based on the comparison a first property of the current running through the primary winding in the form of the phase angle is then determined.
1. A method for determining at least one property of a current (I P ) running through a primary winding of a transformer operating in saturation using an unreliable detected current (I S ) running through a secondary winding of said transformer, comprising the steps of:
detecting a first reliable extreme point (EP 1 ) of a cycle of the current in the secondary winding,
comparing the occurrence in time of the reliable extreme point (EP 1 ) with an absolute time reference (CL), where the absolute time reference (CL) is a reference associated with a period of a periodic signal (U P ) measured at the primary winding at least before the transformer started to operate in saturation,
determining a first property of the current running through the primary winding in the form of a phase angle (α 1 ) based on the comparison,
obtaining a second extreme point (EP 2 ) in said cycle of the current in the secondary winding, and
determining a second property of the current running through the primary winding in the form of an amplitude based on the two extreme points (EP 1 , EP 2 ) of the cycle,
wherein the step of obtaining a second extreme point comprises determining a second reconstructed extreme point (EP 2 ) in said cycle of the current in the secondary winding, which second extreme point occurs during a first intermittent time interval (TI 1 ) of the cycle when the transformer is in a saturated state and which determination is made through predicting the current running in the secondary winding from the start of the first intermittent time interval and the prediction is stopped as soon as the second extreme point (EP 2 ) has been determined.
2. The method according to claim 1 , further comprising the step of determining an area of a detectable secondary current value range, where said first reliable extreme point (EP 1 ) can be detected.
3. The method according to claim 2 , wherein the determining of said area is based on a polarity of the detected current as the trans-former is determined to be operating in saturation.
4. The method according to claim 1 , wherein the signal is a voltage (U P ) measured at the primary winding of the transformer.
5. The method according to claim 1 , wherein the step of obtaining a second extreme point comprises detecting a second reliable extreme point of the cycle occurring before the transformer started to operate in saturation.
6. The method according to claim 1 , further comprising the step of using at least one of the determined current properties in evaluating a fault of a power system in which said transformer is provided.
7. A device for determining at least one property of a current (I P ) running through a primary winding of a transformer operating in saturation using an unreliable detected current (I S ) running through a secondary winding of said transformer, comprising:
a current detecting unit arranged to detect currents running in the secondary winding of the transformer, and
a current property determining unit arranged to:
detect a first reliable extreme point (EP 1 ) of a cycle of the current (I S ) in the secondary winding,
compare the occurrence in time of the reliable extreme point (EP 1 ) with an absolute time reference (CL), where the absolute time reference (CL) is a reference associated with a period of a periodic signal measured at the primary winding at least before the transformer started to operate in saturation, and
determine a first property of the current running through the primary winding in the form of a phase angle (α 1 ) based on the comparison,
obtain a second extreme point (EP 2 ) in said cycle of the current in the secondary winding, and
determine a second property of the current running through the primary winding in the form of an amplitude based on the two extreme points (EP 1 , EP 2 ) of the cycle,
wherein the current property determining unit when obtaining a second extreme point is arranged to determine a second reconstructed extreme point (EP 2 ) in said cycle of the current in the secondary winding, which second extreme point occurs during a first intermittent time interval (TI 1 ) of the cycle when the transformer is in a saturated state, and determination is made through predicting the current running in the secondary winding from the start of the first intermittent time interval and to stop the prediction as soon as the second extreme point has been determined.
8. The device according to claim 7 , wherein the current property determining unit is further arranged to determine an area of a detectable secondary current value range, where said first reliable extreme point (EP 1 ) can be detected.
9. The device according to claim 8 , wherein the determining of said area is based on a polarity of the detected current as the transformer is determined to be operating in saturation.
10. The device according to claim 9 , wherein the periodic signal is a voltage (U P ) measured at the primary winding of the transformer by a voltage detecting unit.
11. The device according to claim 7 , wherein the current property determining unit when obtaining a second extreme point is arranged to detect a second reliable extreme point of the cycle occurring before the transformer started to operate in saturation.
12. The device according to claim 7 , where the device is a protective relay and being further arranged to use at least one of the determined current properties in evaluating a fault of a power system in which said transformer is provided.
13. A computer program product provided on a memory for determining at least one property of a current (I P ) running through a primary winding of a transformer operating in saturation using an unreliable detected current (I S ) running through a secondary winding of said transformer, comprising:
computer program code arranged to make a device or current property determining unit, when said code is loaded into the device or current property determining unit:
detect a first reliable extreme point (EP 1 ) of a cycle of the current (I S ) in the secondary winding,
compare the occurrence in time of the reliable extreme point (EP 1 ) with an absolute time reference (CL), where the absolute time reference (CL) is a reference associated with a period of a periodic signal measured at the primary winding at least before the transformer started to operate in saturation,
determine a first property of the current running through the primary winding in the form of a phase angle (α 1 ) based on the comparison,
obtain a second extreme point (EP 2 ) in said cycle of the current in the secondary winding, and
determine a second property of the current running through the primary winding in the form of a amplitude based on the two extreme points (EP 1 , EP 2 ) of the cycle,
wherein the obtaining of a second extreme point comprises determining a second reconstructed extreme point (EP 2 ) in said cycle of the current in the secondary winding, which second extreme point occurs during a first intermittent time interval (TI 1 ) of the cycle when the transformer is in a saturated state and which determination is made through predicting the current running in the secondary winding from the start of the first intermittent time interval and the prediction is stopped as soon as the second extreme point (EP 2 ) has been determined.