CN111123162A - Three-phase transformer short-circuit parameter online monitoring method based on fundamental wave positive sequence component - Google Patents

Three-phase transformer short-circuit parameter online monitoring method based on fundamental wave positive sequence component Download PDF

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CN111123162A
CN111123162A CN201911400994.5A CN201911400994A CN111123162A CN 111123162 A CN111123162 A CN 111123162A CN 201911400994 A CN201911400994 A CN 201911400994A CN 111123162 A CN111123162 A CN 111123162A
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transformer
phase
positive sequence
short
fundamental
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张云舰
王�琦
刘顺华
薛中洲
程晓云
李海舰
孔祥清
徐进
苗鹏超
高黎娜
李毅
胡强
陈祥谋
孟海涛
张文哲
吕文琦
李宏涛
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Zibo Power Supply Co of State Grid Shandong Electric Power Co Ltd
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Zibo Power Supply Co of State Grid Shandong Electric Power Co Ltd
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Abstract

The invention discloses a fundamental wave positive sequence component-based on-line monitoring method for short-circuit parameters of a three-phase transformer, which comprises the following steps of: s1, extracting fundamental sequence components of each input signal by using an MSOGI-FLL model; s2, three-phase network voltage vavbvcFirstly, the extraction of fundamental component and fundamental orthogonal component is realized through an MSOGI-FLL module; s5, the MSOGI-FLL model is utilized to obtain the fundamental positive sequence component of the primary side phase voltage and the phase current of the transformer respectively
Figure DDA0002347470780000011
Fundamental positive sequence component of secondary side phase voltage and phase current
Figure DDA0002347470780000012
The invention provides a three-phase transformer short-circuit parameter based on a fundamental wave positive sequence componentThe line monitoring method can realize the on-line monitoring of the running state of the transformer winding and find the fault of the transformer winding in time, thereby effectively reducing the fault rate of the transformer and prolonging the service life of the transformer.

Description

Three-phase transformer short-circuit parameter online monitoring method based on fundamental wave positive sequence component
Technical Field
The invention relates to the technical field of three-phase transformer short-circuit parameter monitoring, in particular to a three-phase transformer short-circuit parameter online monitoring method based on fundamental wave positive sequence components.
Background
The transformer plays an important role in a power system, bears the task of mutual exchange between electric energy of different voltage grades, can directly influence the reliability and stability of power supply by normal work, and is difficult to avoid faults and accidents of the transformer which runs for a long time in a network connection mode, so that the transformer has important significance for real-time detection of the running state and the health condition of the transformer. Among various faults of the transformer, winding faults of the transformer are more common and become one of the faults with the highest occurrence frequency of the transformer.
The traditional transformer short-circuit monitoring method still mainly uses an off-line method such as a frequency response method, an impedance analysis method, a low-voltage pulse method and the like for diagnosing the transformer winding, can not find the winding fault of the transformer in time, and can not realize the real-time monitoring of short-circuit parameters.
Disclosure of Invention
In order to achieve the purpose, the invention adopts a technical scheme that: the method for monitoring the short-circuit parameters of the three-phase transformer on line based on the fundamental positive sequence component comprises the following steps: s1, extracting fundamental sequence components of each input signal by using an MSOGI-FLL model; s2, three-phase network voltage vavbvcFirstly, the extraction of fundamental component and fundamental orthogonal component is realized through an MSOGI-FLL module, and then the following formula is adopted:
Figure BDA0002347470760000021
the transformation matrix can realize the extraction of fundamental wave sequence components, wherein, positive sequence components are represented by a plus sign "+", negative sequence components are represented by a minus sign "-", and zero sequence components are represented by a 0 sign "-", S3, the three-phase transformer adopting △/YN connection method can obtain the phasor equation expression of the primary and secondary windings according to the mathematical model:
Figure BDA0002347470760000022
Figure BDA0002347470760000023
in the formula
Figure BDA0002347470760000024
The phase voltage of each winding on the triangle side of the primary side of the transformer,
Figure BDA0002347470760000025
the values of the voltages of the windings on the star side of the secondary side are integrated,
Figure BDA0002347470760000026
the phase currents of the windings of each phase on the triangle side of the primary side,
Figure BDA0002347470760000027
the values of the phase currents of the windings on the star side of the secondary side are calculated,
Figure BDA0002347470760000028
and
Figure BDA0002347470760000029
respectively representing electromotive forces generated by the main magnetic flux in the primary and secondary windings; s4, the phase current of the primary side triangular side winding cannot be directly measured and expressed by the relationship between the line and the phase current, and the relationship can be obtained by using kirchhoff' S current law:
Figure BDA00023474707600000210
Figure BDA00023474707600000211
Figure BDA00023474707600000212
the formula is arranged and the internal circulation current of the triangular side winding is considered
Figure BDA00023474707600000213
The expression of the triangle side phase current can be obtained:
Figure BDA0002347470760000031
Figure BDA0002347470760000032
Figure BDA0002347470760000033
substituting the formula into the formula in S3 finally obtains the primary phasor equation expression:
Figure BDA0002347470760000034
s5, the MSOGI-FLL model is utilized to obtain the fundamental positive sequence component of the primary side phase voltage and the phase current of the transformer respectively
Figure BDA0002347470760000035
Fundamental positive sequence component of secondary side phase voltage and phase current
Figure BDA0002347470760000036
S6, a phasor equation of the positive sequence component of the transformer is obtained according to the arrangement of the positive sequence equivalent circuit of the transformer:
Figure BDA0002347470760000037
the original secondary side voltage and current phasor of the transformer can be converted into a synchronous rotating coordinate system with directional d-axis primary side voltage phasor by utilizing αβ/dq conversion, and after S7 and d-axis primary side voltage phasor are oriented, the original secondary side voltage and current phasor of the transformer can be converted into corresponding quantities under the dq rotating coordinate system by αβ/dq conversion
Figure BDA0002347470760000041
Wherein the sine and cosine values of the included angle between the d axis and the axis are
Figure BDA0002347470760000042
S8, converting the formula in S6 into a form under a dq rotation coordinate system, and obtaining the relation between each positive sequence component of the primary side and the secondary side of the transformer and the short-circuit parameter of the transformer:
Figure BDA0002347470760000043
obtaining the directional transformer phasor of the primary voltage of the d axis according to the formula; s9, rewriting the above formula into a matrix expression of the transformer short-circuit parameter, as shown in the following formula:
Figure BDA0002347470760000044
the conversion values of the primary side resistance and the leakage inductance of the transformer are equal to the conversion values of the secondary side resistance and the leakage inductance;
s10, a series of matrix operations are carried out on the formula in S9, and finally the short circuit parameter expression can be obtained:
Figure BDA0002347470760000051
the MSOGI-FLL model is a multiple second-order generalized integrator frequency-locked loop.
The sequence component extraction method of the MSOGI-FLL model can accurately and quickly extract a fundamental sequence component under the conditions of unbalanced power grid and harmonic interference, and the structure is applied to engineering practice.
Wherein, the
Figure BDA0002347470760000052
And the fundamental positive sequence component of the secondary side phase voltage and phase current
Figure BDA0002347470760000053
The T-shaped equivalent circuit for analyzing the symmetric operation of the transformer is also suitable for the positive sequence system of the transformer.
The short-circuit parameter expression is used for monitoring the short-circuit impedance value of the three-phase transformer on line.
Wherein the short circuit impedance value is used for finding winding faults of the transformer.
And the short-circuit impedance value is used for monitoring the running state of the transformer winding on line.
The MSOGI-FLL model is applied to new energy grid-connected power generation, reactive compensation and harmonic suppression.
The scheme can realize the online monitoring of the running state of the transformer winding and find the fault of the transformer winding in time by providing the online monitoring method of the short-circuit parameter of the three-phase transformer based on the fundamental wave positive sequence component, thereby effectively reducing the fault rate of the transformer and prolonging the service life of the transformer, further accurately monitoring the short-circuit impedance value of the three-phase transformer on line, and accurately detecting the short-circuit impedance value, so that the running analysis of the three-phase transformer is more accurate and reliable, and simultaneously, the accurate short-circuit impedance value is helpful to find the three-phase transformer with deformed winding in time and carry out predictive maintenance on the three-phase transformer.
Drawings
FIG. 1 is a schematic block diagram of the MSOGI-FLL-based order component extraction in the present invention;
FIG. 2 is a transformer winding model of the present invention;
FIG. 3 is a positive sequence equivalent circuit of the transformer of the present invention;
FIG. 4 is a schematic diagram of the d-axis primary voltage phasor orientation of the present invention.
Detailed Description
In the following, reference will be made to various embodiments of the invention. However, embodiments may be embodied in various forms and should not be construed as limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will fully convey the scope of the invention to those skilled in the art. In other instances, well-known functions or constructions may not be described or shown in detail to avoid obscuring the subject matter of the present disclosure.
In this embodiment, the method includes the following steps:
s1, extracting fundamental sequence components of each input signal by using an MSOGI-FLL model;
s2, three-phase network voltage vavbvcFirstly, the extraction of fundamental component and fundamental orthogonal component is realized through an MSOGI-FLL module, and then the following formula is adopted:
Figure BDA0002347470760000061
the transformation matrix can realize the extraction of fundamental sequence components, wherein, positive sequence components are represented by a plus sign "+", negative sequence components are represented by a minus sign "-", and zero sequence components are represented by a 0 sign;
s3, obtaining a phasor equation expression of the primary winding and the secondary winding according to a mathematical model of the △/YN connection three-phase transformer by adopting the following steps:
Figure BDA0002347470760000062
Figure BDA0002347470760000071
in the formula
Figure BDA0002347470760000072
The phase voltage of each winding on the triangle side of the primary side of the transformer,
Figure BDA0002347470760000073
the values of the voltages of the windings on the star side of the secondary side are integrated,
Figure BDA0002347470760000074
the phase currents of the windings of each phase on the triangle side of the primary side,
Figure BDA0002347470760000075
for return of phase current of windings on star side of secondary sideCalculating the value of the current,
Figure BDA0002347470760000076
and
Figure BDA0002347470760000077
respectively representing electromotive forces generated by the main magnetic flux in the primary and secondary windings;
s4, the phase current of the primary side triangular side winding cannot be directly measured and expressed by the relationship between the line and the phase current, and the relationship can be obtained by using kirchhoff' S current law:
Figure BDA0002347470760000078
Figure BDA0002347470760000079
Figure BDA00023474707600000710
the formula is arranged and the internal circulation current of the triangular side winding is considered
Figure BDA00023474707600000711
The expression of the triangle side phase current can be obtained:
Figure BDA00023474707600000712
Figure BDA00023474707600000713
Figure BDA00023474707600000714
substituting the formula into the formula in S3 finally obtains the primary phasor equation expression:
Figure BDA00023474707600000715
s5, the MSOGI-FLL model is utilized to obtain the fundamental positive sequence component of the primary side phase voltage and the phase current of the transformer respectively
Figure BDA00023474707600000716
Fundamental positive sequence component of secondary side phase voltage and phase current
Figure BDA00023474707600000717
S6, a phasor equation of the positive sequence component of the transformer is obtained according to the arrangement of the positive sequence equivalent circuit of the transformer:
Figure BDA0002347470760000081
the original secondary side voltage and current phasor of the transformer can be converted into a synchronous rotating coordinate system with directional d-axis primary side voltage phasor by utilizing αβ/dq conversion;
s7, after the primary voltage phasor of the d axis is oriented, the primary and secondary voltage phasors and the current phasor of the transformer can be converted into corresponding quantities under a dq rotating coordinate system through αβ/dq
Figure BDA0002347470760000082
Wherein the sine and cosine values of the included angle between the d axis and the axis are
Figure BDA0002347470760000083
S8, converting the formula in S6 into a form under a dq rotation coordinate system, and obtaining the relation between each positive sequence component of the primary side and the secondary side of the transformer and the short-circuit parameter of the transformer:
Figure BDA0002347470760000084
obtaining the directional transformer phasor of the primary voltage of the d axis according to the formula;
s9, rewriting the above formula into a matrix expression of the transformer short-circuit parameter, as shown in the following formula:
Figure BDA0002347470760000091
the conversion values of the primary side resistance and the leakage inductance of the transformer are equal to the conversion values of the secondary side resistance and the leakage inductance;
s10, a series of matrix operations are carried out on the formula in S9, and finally the short circuit parameter expression can be obtained:
Figure BDA0002347470760000092
the MSOGI-FLL model is a multiple second-order generalized integrator frequency-locked loop, the order component extraction method of the MSOGI-FLL model can accurately and quickly realize extraction of fundamental order components under the conditions of unbalanced power grid and harmonic interference, and the structure is used for application in engineering practice
Figure BDA0002347470760000093
And the fundamental positive sequence component of the secondary side phase voltage and phase current
Figure BDA0002347470760000094
The short-circuit parameter expression is used for monitoring a short-circuit impedance value of the three-phase transformer on line, the short-circuit impedance value is used for finding winding faults of the transformer, the short-circuit impedance value is used for monitoring the running state of the winding of the transformer on line, and the MSOGI-FLL model is applied to new energy grid-connected power generation, reactive power compensation and harmonic suppression.
In the several embodiments provided in the present invention, it should be understood that the disclosed apparatus and method may be implemented in other manners. For example, the above-described apparatus embodiments are merely illustrative, and for example, the division of the modules or units is only one logical division, and other divisions may be realized in practice, for example, a plurality of units or components may be combined or integrated into another system, or some features may be omitted, or not executed. In addition, the shown or discussed mutual coupling or direct coupling or communication connection may be an indirect coupling or communication connection through some interfaces, devices or units, and may be in an electrical, mechanical or other form.

Claims (8)

1. A three-phase transformer short-circuit parameter on-line monitoring method based on a fundamental positive sequence component is characterized by comprising the following steps:
s1, extracting fundamental sequence components of each input signal by using an MSOGI-FLL model;
s2, three-phase network voltage vavbvcFirstly, the extraction of fundamental component and fundamental orthogonal component is realized through an MSOGI-FLL module, and then the following formula is adopted:
Figure FDA0002347470750000011
the transformation matrix can realize the extraction of fundamental sequence components, wherein, positive sequence components are represented by a plus sign "+", negative sequence components are represented by a minus sign "-", and zero sequence components are represented by a 0 sign;
s3, obtaining a phasor equation expression of the primary winding and the secondary winding according to a mathematical model of the △/YN connection three-phase transformer by adopting the following steps:
Figure FDA0002347470750000012
Figure FDA0002347470750000013
in the formula
Figure FDA0002347470750000014
The phase voltage of each winding on the triangle side of the primary side of the transformer,
Figure FDA0002347470750000015
the values of the voltages of the windings on the star side of the secondary side are integrated,
Figure FDA0002347470750000016
the phase currents of the windings of each phase on the triangle side of the primary side,
Figure FDA0002347470750000017
the values of the phase currents of the windings on the star side of the secondary side are calculated,
Figure FDA0002347470750000018
and
Figure FDA0002347470750000019
respectively representing electromotive forces generated by the main magnetic flux in the primary and secondary windings;
s4, the phase current of the primary side triangular side winding cannot be directly measured and expressed by the relationship between the line and the phase current, and the relationship can be obtained by using kirchhoff' S current law:
Figure FDA0002347470750000021
Figure FDA0002347470750000022
Figure FDA0002347470750000023
the formula is arranged and the internal circulation current of the triangular side winding is considered
Figure FDA0002347470750000024
The expression of the triangle side phase current can be obtained:
Figure FDA0002347470750000025
Figure FDA0002347470750000026
Figure FDA0002347470750000027
substituting the formula into the formula in S3 finally obtains the primary phasor equation expression:
Figure FDA0002347470750000028
s5, the MSOGI-FLL model is utilized to obtain the fundamental positive sequence component of the primary side phase voltage and the phase current of the transformer respectively
Figure FDA0002347470750000029
Fundamental positive sequence component of secondary side phase voltage and phase current
Figure FDA00023474707500000210
S6, a phasor equation of the positive sequence component of the transformer is obtained according to the arrangement of the positive sequence equivalent circuit of the transformer:
Figure FDA00023474707500000211
the original secondary side voltage and current phasor of the transformer can be converted into a synchronous rotating coordinate system with directional d-axis primary side voltage phasor by utilizing αβ/dq conversion;
s7, after the primary voltage phasor of the d axis is oriented, the primary and secondary voltage phasors and the current phasor of the transformer can be converted into corresponding quantities under a dq rotating coordinate system through αβ/dq
Figure FDA0002347470750000031
Wherein the sine and cosine values of the included angle between the d axis and the axis are
Figure FDA0002347470750000032
S8, converting the formula in S6 into a form under a dq rotation coordinate system, and obtaining the relation between each positive sequence component of the primary side and the secondary side of the transformer and the short-circuit parameter of the transformer:
Figure FDA0002347470750000033
obtaining the directional transformer phasor of the primary voltage of the d axis according to the formula;
s9, rewriting the above formula into a matrix expression of the transformer short-circuit parameter, as shown in the following formula:
Figure FDA0002347470750000034
the conversion values of the primary side resistance and the leakage inductance of the transformer are equal to the conversion values of the secondary side resistance and the leakage inductance;
s10, a series of matrix operations are carried out on the formula in S9, and finally the short circuit parameter expression can be obtained:
Figure FDA0002347470750000041
2. the on-line monitoring method for the short-circuit parameters of the three-phase transformer based on the fundamental positive sequence component of the claim 1 is characterized in that the MSOGI-FLL model is a multiple second-order generalized integrator frequency-locked loop.
3. The on-line monitoring method for the short-circuit parameters of the three-phase transformer based on the fundamental positive sequence component is characterized in that the sequence component extraction method of the MSOGI-FLL model can accurately and quickly extract the fundamental sequence component under the conditions of grid imbalance and harmonic interference, and the structure is used for application in engineering practice.
4. The on-line monitoring method for the short-circuit parameters of the three-phase transformer based on the fundamental positive sequence component as claimed in claim 1, wherein the method is characterized in that
Figure FDA0002347470750000042
And the fundamental positive sequence component of the secondary side phase voltage and phase current
Figure FDA0002347470750000043
The T-shaped equivalent circuit for analyzing the symmetric operation of the transformer is also suitable for the positive sequence system of the transformer.
5. The on-line monitoring method for the short-circuit parameter of the three-phase transformer based on the fundamental positive sequence component of claim 1, wherein the short-circuit parameter expression is used for on-line monitoring of the short-circuit impedance value of the three-phase transformer.
6. The on-line monitoring method for the short-circuit parameter of the three-phase transformer based on the fundamental positive sequence component of claim 5 is characterized in that the short-circuit impedance value is used for finding the winding fault of the transformer.
7. The on-line monitoring method for the short-circuit parameter of the three-phase transformer based on the fundamental positive sequence component of claim 5 is characterized in that the short-circuit impedance value is used for on-line monitoring of the running state of a transformer winding.
8. The on-line monitoring method for the short-circuit parameters of the three-phase transformer based on the fundamental positive sequence component of the claim 1 is characterized in that the MSOGI-FLL model is applied to new energy grid-connected power generation, reactive compensation and harmonic suppression.
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CN111856321A (en) * 2020-07-09 2020-10-30 国网山东省电力公司淄博供电公司 Three-phase transformer short-circuit parameter online monitoring method based on fundamental wave positive sequence component
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CN113419196A (en) * 2021-05-07 2021-09-21 国网山东省电力公司淄博供电公司 Single-phase transformer winding parameter online monitoring method based on load change
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Application publication date: 20200508