CN115728703A - Calibration method for mutual inductor - Google Patents

Calibration method for mutual inductor Download PDF

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CN115728703A
CN115728703A CN202211592899.1A CN202211592899A CN115728703A CN 115728703 A CN115728703 A CN 115728703A CN 202211592899 A CN202211592899 A CN 202211592899A CN 115728703 A CN115728703 A CN 115728703A
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uncertainty
error
mutual inductor
result
relative
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罗丹青
杨娴
黄开来
邢菁
李佳莹
黄珏
黄雪玫
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Hainan Power Grid Co Ltd
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Hainan Power Grid Co Ltd
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Abstract

The invention provides a calibration method for a mutual inductor, which comprises the following steps: the method comprises the steps that a mutual inductor to be tested is connected to a mutual inductor calibrator, a variable voltage source is used for providing test voltage for the mutual inductor calibrator and a primary winding of the mutual inductor to be tested at the same time, the mutual inductor calibrator outputs result data, and the result data comprise a current measurement result, a voltage measurement result, a ratio difference result and a phase difference result; analyzing uncertain influence factors influencing the measurement of the mutual inductor to be measured to obtain an uncertainty source; respectively calculating the relative uncertainty of different uncertain influence factors according to the verification data; and calculating the uncertainty of the transformer under the current condition or the voltage condition through the relative uncertainty of different uncertain influencing factors.

Description

Calibration method for mutual inductor
Technical Field
The invention relates to the technical field of mutual inductor calibration, in particular to a calibration method for a mutual inductor.
Background
The mutual inductor plays the role of high-voltage isolation and voltage and current conversion according to the ratio, and is used for providing voltage and current signals with accurate proportional relation with a primary loop for electrical measurement, electric energy metering and automation devices. Meanwhile, the transformer is also used for providing signals for instruments and relay protection and has a high-voltage isolation effect, so that the accuracy of the measurement result of the transformer plays an important role in the safe operation and marketing measurement of a power system. However, the existing measuring method does not analyze uncertainty sources influencing the measuring result, and the uncertainty degree of the result which cannot be obtained influences the reliability of the measuring result.
Disclosure of Invention
The present invention is directed to a calibration method for a transformer, so as to solve the problems mentioned in the above background art.
The invention is realized by the following technical scheme: a verification method for a transformer, the method comprising: the method comprises the steps that a mutual inductor to be tested is connected to a mutual inductor calibrator, a variable voltage source is used for providing test voltage for the mutual inductor calibrator and a primary winding of the mutual inductor to be tested at the same time, the mutual inductor calibrator outputs result data, and the result data comprise a current measurement result, a voltage measurement result, a ratio difference result and a phase difference result;
analyzing uncertain influence factors influencing the measurement of the mutual inductor to be measured to obtain an uncertainty source;
respectively calculating the relative uncertainty of different uncertain influence factors according to the result data;
and calculating the uncertainty of the transformer under the current condition or the voltage condition through the relative uncertainty of different uncertain influencing factors.
Optionally, the uncertain influencing factor includes one or more of a repeatability measurement error, a ratio error and a phase error.
Optionally, a corresponding calculation method is selected based on the uncertainty influence factors to calculate the relative uncertainty, and the calculation method includes a first calculation method and a second calculation method.
Optionally, for the repetitive measurement error factor, the first calculation method is applied to obtain the standard uncertainty of the repetitive measurement error factor, and the first calculation method includes the following steps:
calculating an arithmetic average of the current measurement or the voltage measurement in the result data;
calculating the standard uncertainty of the current measurement result or the voltage measurement result according to the result data, the arithmetic mean of the result data and the actual measurement times;
obtaining a relative uncertainty about the current based on a standard uncertainty of the current measurement;
the relative uncertainty with respect to the voltage is obtained from the standard uncertainty of the voltage measurements.
Optionally, for the ratio error and the phase error factor, applying the second calculation method to obtain a result of relative uncertainty of the ratio error and the phase error factor, where the second calculation method includes the following steps: calculating the relative uncertainty of the ratio error and the phase error factor respectively, obtaining the relative uncertainty of the first synthesis according to the relative uncertainty of the ratio error, and obtaining the relative uncertainty of the second synthesis according to the relative uncertainty of the ratio error;
optionally, the relative uncertainty of the ratio error is obtained through the uncertainty of the ratio error reading, the uncertainty of the transformer calibrator error based on the ratio error, and the uncertainty caused by the rounding interval, the uncertainty of the ratio error reading, the uncertainty of the transformer calibrator error based on the ratio error, and the uncertainty caused by the rounding interval are respectively calculated, and the relative uncertainty of the ratio error is obtained based on the calculation result.
Optionally, the relative uncertainty of the phase error is obtained through reading uncertainty of the phase error, mutual inductor calibrator error uncertainty based on the phase error, and uncertainty caused by the rounding interval adjustment, and the reading uncertainty of the phase error, the mutual inductor calibrator error uncertainty based on the phase error, and uncertainty caused by the rounding interval adjustment are respectively calculated, and the relative uncertainty of the phase error is obtained based on the calculation result.
Optionally, calculating the uncertainty of the transformer under the current condition or the voltage condition through the relative uncertainties of different uncertain influencing factors, including the following steps:
obtaining a current uncertainty result of the transformer through the current measurement result and the first synthesized relative uncertainty;
and obtaining a voltage uncertainty result of the transformer through the voltage measurement result and the second combined relative uncertainty.
Optionally, the method further includes: and constructing and training a deep learning model, taking the first synthetic relative uncertainty and the second synthetic relative uncertainty as the input of the deep learning model, and outputting the input as the performance evaluation result of the mutual inductor.
Compared with the prior art, the invention has the following beneficial effects:
according to the method for verifying the mutual inductor, the uncertain influence factors influencing the verification of the mutual inductor are analyzed and determined in the verification process of the mutual inductor, the relative uncertainty of different uncertain influence factors is respectively calculated based on result data, the synthetic standard uncertainty is finally calculated by integrating the relative uncertainty of all the uncertain influence factors, the uncertainty of the mutual inductor is evaluated according to the synthetic standard uncertainty, the uncertainty is played as the basis, and the performance evaluation result of the mutual inductor is obtained through a deep learning model.
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In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings needed to be used in the description of the embodiments will be briefly introduced below, and it is obvious that the drawings in the following description are only preferred embodiments of the present invention, and it is obvious for those skilled in the art that other drawings can be obtained according to these drawings without inventive exercise.
Fig. 1 is a flowchart of a calibration method for a transformer according to the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, exemplary embodiments according to the present invention will be described in detail below with reference to the accompanying drawings. It is to be understood that the described embodiments are merely a subset of embodiments of the invention and not all embodiments of the invention, with the understanding that the invention is not limited to the example embodiments described herein. All other embodiments, which can be derived by a person skilled in the art from the embodiments of the invention described herein without inventive step, shall fall within the scope of protection of the invention.
In the following description, numerous specific details are set forth in order to provide a more thorough understanding of the present invention. It will be apparent, however, to one skilled in the art, that the present invention may be practiced without one or more of these specific details. In other instances, well-known features have not been described in order to avoid obscuring the invention.
It is to be understood that the present invention may be embodied in many different forms and should not be construed as limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the scope of the invention to those skilled in the art.
The terminology used herein is for the purpose of describing particular embodiments only and is not intended to be limiting of the invention. As used herein, the singular forms "a", "an" and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise. It will be further understood that the terms "comprises" and/or "comprising," when used in this specification, specify the presence of stated features, integers, steps, operations, elements, and/or components, but do not preclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and/or groups thereof. As used herein, the term "and/or" includes any and all combinations of the associated listed items.
In order to provide a thorough understanding of the present invention, a detailed structure will be set forth in the following description in order to explain the present invention. Alternative embodiments of the invention are described in detail below, however, the invention may be practiced in other embodiments that depart from these specific details.
Referring to fig. 1, a verification method for a transformer, the method comprising:
s101, the mutual inductor to be tested is connected to a mutual inductor calibrator, test voltage is provided for the mutual inductor calibrator and the primary winding of the mutual inductor to be tested simultaneously through a variable voltage source, the mutual inductor calibrator outputs result data, and the result data comprise a current measurement result, a voltage measurement result, a ratio difference result and a phase difference result.
S102, analyzing uncertain influence factors influencing the measurement of the mutual inductor to be measured, and obtaining an uncertainty source.
In the present invention, the uncertain influencing factor comprises one or more of a repeatability measurement error, a ratio error and a phase error.
And S103, respectively calculating the relative uncertainty of different uncertain influence factors according to the result data.
In the embodiment, a corresponding calculation method is selected based on the uncertain influence factors to calculate the relative uncertainty, and the calculation method comprises a first calculation method and a second calculation method.
For a repeatability measurement error, calculating a corresponding relative uncertainty using a first calculation method comprising:
s211, calculating an arithmetic mean value of the current measurement result or the voltage measurement result in the result data;
s212, calculating the standard uncertainty of the current measurement result or the voltage measurement result according to the result data, the arithmetic mean of the result data and the actual measurement times;
s213, obtaining the relative uncertainty of the current according to the standard uncertainty of the current measurement result;
and S214, obtaining the relative uncertainty of the voltage according to the standard uncertainty of the voltage measurement result.
In the actual measurement process, 6 times of measurement are selected, the arithmetic mean value of the current measurement result or the voltage measurement result is obtained, and the arithmetic mean value of the current measurement result is calculated by adopting the following formula:
Figure BDA0003995543050000051
wherein I is a positive integer of 1 to n, n is the number of measurements, I i Representing the current measurement obtained for each measurement.
The arithmetic mean of the voltage measurement results is calculated by the following formula:
Figure BDA0003995543050000052
wherein i is a positive integer of 1 to n, n is the number of measurements, U i Representing the voltage measurement obtained for each measurement.
Calculating the standard uncertainty of the current measurement result or the voltage measurement result according to the result data, the arithmetic mean of the result data and the actual measurement times, wherein the standard uncertainty calculation formula of the current measurement result is as follows;
Figure BDA0003995543050000053
wherein the standard uncertainty calculation formula of the voltage measurement result is as follows:
Figure BDA0003995543050000054
the relative uncertainty about the current is obtained from the standard uncertainty of the current measurements:
Figure BDA0003995543050000061
the relative uncertainty with respect to the voltage is obtained from the standard uncertainty of the voltage measurement:
Figure BDA0003995543050000062
and calculating corresponding relative uncertainty by adopting a second calculation method for the ratio difference result and the phase difference result.
The second calculation method includes the steps of: relative uncertainties of ratio error and phase error factors are calculated respectively, relative uncertainty about a first resultant is obtained according to the relative uncertainty of the ratio error, and relative uncertainty about a second resultant is obtained according to the relative uncertainty of the ratio phase error.
And the relative uncertainty of the ratio error is obtained through the uncertainty of the ratio error reading, the uncertainty of the transformer calibrator error based on the ratio error and the uncertainty caused by the rounding interval, the uncertainty of the ratio error reading, the uncertainty of the transformer calibrator error based on the ratio error and the uncertainty caused by the rounding interval are respectively calculated, and the relative uncertainty of the ratio error is obtained based on the calculation result.
Wherein the calculation of the ratio error reading uncertainty is calculated by:
Figure BDA0003995543050000063
Figure BDA0003995543050000064
Figure BDA0003995543050000065
is the arithmetic mean of the ratio error readings, P1 i Indicating the ratio error reading obtained for each measurement. Mutual inductor calibrator error uncertainty based on ratio error obeys uniform distribution and contains factors
Figure BDA0003995543050000066
The specific calculation method is as follows:
Figure BDA0003995543050000067
wherein X is the ratio difference reading and Y is the phase difference reading.
The uncertainty caused by the rounding and spacing adjustment is judged according to the half width of the dispersion interval of the check meter, for example, the rounding interval of the comparison value difference of the 0.05-level check meter is 0.005%, the half width of the dispersion interval is 0.0025%, and the uncertainty caused by the rounding and spacing adjustment is specifically calculated by the following method:
Figure BDA0003995543050000068
to sum up, the relative uncertainty of the ratio error is calculated by:
Figure BDA0003995543050000071
specifically, the relative uncertainty of the phase error is obtained through the reading uncertainty of the phase error, the mutual inductor calibrator error uncertainty based on the phase error, and the uncertainty caused by the rounding interval adjustment, the reading uncertainty of the phase error, the mutual inductor calibrator error uncertainty based on the phase error, and the uncertainty caused by the rounding interval adjustment are respectively calculated, and the relative uncertainty of the phase error is obtained based on the calculation result.
The phase error reading uncertainty is calculated by:
Figure BDA0003995543050000072
Figure BDA0003995543050000073
Figure BDA0003995543050000074
is the arithmetic mean of the phase error readings, δ 1 i Indicating the phase error reading obtained for each measurement. Phase error-based transformer calibrator error uncertainty obeys uniform distribution and contains factors
Figure BDA0003995543050000075
The specific calculation method is as follows:
Figure BDA0003995543050000076
wherein X is the ratio difference reading and Y is the phase difference reading.
The uncertainty caused by the rounding, spacing and rounding is judged according to the half width of the dispersion interval of the check meter, for example, the rounding interval of the phase difference of the 0.05-level check meter is 0.2 degrees, the half width of the dispersion interval is 0.1 degrees, and the specific calculation mode of the uncertainty caused by the rounding, spacing and rounding is as follows:
Figure BDA0003995543050000077
the relative uncertainty of the phase error is calculated by:
Figure BDA0003995543050000078
specifically, the first synthetic relative uncertainty is calculated by the following formula:
Figure BDA0003995543050000079
the second synthetic relative uncertainty is calculated by:
Figure BDA00039955430500000710
and S104, calculating the uncertainty of the mutual inductor under the current condition or the voltage condition through the relative uncertainty of different uncertain influencing factors.
Further, a current uncertainty result of the transformer is obtained through the current measurement result and the first combined relative uncertainty, which is specifically as follows:
u C1 =*u c1
and obtaining a voltage uncertainty result of the transformer through the voltage measurement result and the second synthetic relative uncertainty: the method comprises the following steps:
u C2 =*u c2
and S105, constructing and training a deep learning model, taking the first synthetic relative uncertainty and the second synthetic relative uncertainty as the input of the deep learning model, and outputting the input as the performance evaluation result of the mutual inductor.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like made within the spirit and principle of the present invention should be included in the scope of the present invention.

Claims (9)

1. A calibration method for a transformer, the method comprising: the method comprises the steps that a mutual inductor to be tested is connected to a mutual inductor calibrator, a variable voltage source is used for providing test voltage for the mutual inductor calibrator and a primary winding of the mutual inductor to be tested at the same time, the mutual inductor calibrator outputs result data, and the result data comprise a current measurement result, a voltage measurement result, a ratio difference result and a phase difference result;
analyzing uncertain influence factors influencing the measurement of the mutual inductor to be measured to obtain an uncertainty source;
respectively calculating the relative uncertainty of different uncertain influence factors according to the verification data;
and calculating the uncertainty of the mutual inductor under the current condition or the voltage condition through the relative uncertainty of different uncertain influencing factors.
2. The calibration method for the mutual inductor according to claim 1, wherein the uncertain influencing factors comprise one or more of a repeatability measurement error, a ratio error and a phase error.
3. The verification method for the mutual inductor according to claim 2, wherein the corresponding calculation method is selected to calculate the relative uncertainty based on the uncertain influence factors, and the calculation method comprises a first calculation method and a second calculation method.
4. A calibration method for a transformer according to claim 3, characterized in that for repetitive measurement error factors, said first calculation method is applied to obtain a standard uncertainty of said repetitive measurement error factors, said first calculation method comprising the following steps:
calculating an arithmetic average of the current measurement or the voltage measurement in the result data;
calculating the standard uncertainty of the current measurement result or the voltage measurement result according to the result data, the arithmetic mean of the result data and the actual measurement times;
obtaining a relative uncertainty about the current based on a standard uncertainty of the current measurement;
the relative uncertainty with respect to the voltage is obtained from the standard uncertainty of the voltage measurements.
5. A calibration method for mutual inductor according to claim 4, characterized in that, for said ratio error and phase error factors, said second calculation method is applied to obtain the result of relative uncertainty of said ratio error and phase error factors, and said second calculation method includes the following steps: relative uncertainties of ratio error and phase error factors are calculated respectively, relative uncertainty about a first resultant is obtained according to the relative uncertainty of the ratio error, and relative uncertainty about a second resultant is obtained according to the relative uncertainty of the ratio phase error.
6. A calibration method for a transformer according to claim 5, characterized in that the relative uncertainty of the ratio error is obtained from the uncertainty of the ratio error reading, the uncertainty of the transformer calibrator error based on the ratio error, the uncertainty caused by the rounding interval adjustment, the uncertainty of the ratio error reading, the uncertainty of the transformer calibrator error based on the ratio error, the uncertainty caused by the rounding interval adjustment are calculated respectively, and the relative uncertainty of the ratio error is obtained based on the calculation result.
7. The method of claim 6, wherein the relative uncertainty of the phase error is obtained from a reading uncertainty of the phase error, a transformer calibrator error uncertainty based on the phase error, an uncertainty caused by the rounding spacing, and wherein the reading uncertainty of the phase error, the transformer calibrator error uncertainty based on the phase error, and the uncertainty caused by the rounding spacing are calculated, respectively, and the relative uncertainty of the phase error is obtained based on the calculation result.
8. A verification method for mutual inductors according to claim 5, characterised in that the uncertainty of a mutual inductor in current or voltage conditions is calculated by means of the relative uncertainties of the different uncertain influencing factors, comprising the following steps:
obtaining a current uncertainty result of the transformer through the current measurement result and the first synthesized relative uncertainty;
and obtaining a voltage uncertainty result of the transformer through the voltage measurement result and the second combined relative uncertainty.
9. A verification method for a transformer according to claim 8, the method further comprising: and constructing and training a deep learning model, taking the first synthetic relative uncertainty and the second synthetic relative uncertainty as the input of the deep learning model, and outputting the input as the performance evaluation result of the mutual inductor.
CN202211592899.1A 2022-12-13 2022-12-13 Calibration method for mutual inductor Pending CN115728703A (en)

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