EP2183607A1 - Procédé de détermination de couplage de flux de dispersion magnétique d'un transformateur - Google Patents

Procédé de détermination de couplage de flux de dispersion magnétique d'un transformateur

Info

Publication number
EP2183607A1
EP2183607A1 EP07801627A EP07801627A EP2183607A1 EP 2183607 A1 EP2183607 A1 EP 2183607A1 EP 07801627 A EP07801627 A EP 07801627A EP 07801627 A EP07801627 A EP 07801627A EP 2183607 A1 EP2183607 A1 EP 2183607A1
Authority
EP
European Patent Office
Prior art keywords
windings
reactances
voltage
winding
reactance
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Withdrawn
Application number
EP07801627A
Other languages
German (de)
English (en)
Inventor
Reinhold Beck
Frank Budzinski
Michael Meinert
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Siemens AG
Original Assignee
Siemens AG
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Siemens AG filed Critical Siemens AG
Publication of EP2183607A1 publication Critical patent/EP2183607A1/fr
Withdrawn legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R29/00—Arrangements for measuring or indicating electric quantities not covered by groups G01R19/00 - G01R27/00
    • G01R29/20—Measuring number of turns; Measuring transformation ratio or coupling factor of windings
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/50—Testing of electric apparatus, lines, cables or components for short-circuits, continuity, leakage current or incorrect line connections
    • G01R31/62—Testing of transformers
    • H—ELECTRICITY
    • H01—ELECTRIC ELEMENTS
    • H01F—MAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
    • H01F27/00—Details of transformers or inductances, in general
    • H01F27/34—Special means for preventing or reducing unwanted electric or magnetic effects, e.g. no-load losses, reactive currents, harmonics, oscillations, leakage fields
    • H01F27/346—Preventing or reducing leakage fields

Definitions

  • the invention relates to a method for determining the magnetic leakage flux coupling between windings of a transformer with n windings and at least one high-voltage winding and at least one low-voltage winding.
  • the calculation of the magnetic leakage flux coupling can only be calculated analytically for a three-winding transformer.
  • the three short-circuit reactances can be converted into three so-called equivalent reactances in a three-winding transformer.
  • an analytical determination of the six unknown equivalent reactances from the six short-circuit reactances is no longer possible, so that appropriate measurements must be made on the transformer.
  • the transformer with n windings has a very low ohmic resistance and is therefore negligible.
  • the voltage at each winding is known at a current consumption or current output
  • the voltages generated due to the leakage fluxes at the winding terminals are determined.
  • the short-circuit and leakage reactances are combined to form a corresponding equivalent reactance for a three-winding transformer - each formed of three windings of the n winding transformer.
  • the reactances thus determined are then added to a total reactance and resolved by conventional solution methods for multidimensional variable equations.
  • EP 0 881 647 B1 describes a transformer and a method with which the stray inductances in the transformer can be controlled.
  • the corresponding gene Dorti ⁇ Streuindukti ⁇ vmaschineen be determined by constructional measures on an already prepared transformer.
  • the disadvantage of the aforementioned prior art is that the stray inductances to be necessarily determined only in the Nachhinein and thus only after completion of the transformer can be determined.
  • the magnetic stray flux couplings of a transformer with n windings can therefore be determined either only with extensive analytical methods for the solution of systems of equations with up to three unknowns or by means of numerically complex simulations of known geometrical and electrical boundary conditions within the scope of the development work.
  • the determination of the magnetic leakage flux couplings in the context of the measurements on the already completed transformer is partially carried out, with a possible change in the specifications of the transformer in retrospect only with great constructional effort or not at all possible.
  • the object is achieved by the subject matter of claim 1.
  • the invention provides that for a transformer with n windings and at least one high-voltage winding and at least one low-voltage winding, the measurable Kurz brieflyreaktanzen be determined due to the measurement of rated current flows through the windings, each three windings as a outer reactance triangle consisting of the outer leakage reactances are considered for the determination.
  • the inner stray reactances are determined by means of the measurable short-circuit reactances in the form of an inner reactance star, based on the respective three windings of the outer reactance triangle, one high-voltage winding and two low-voltage windings each forming an outer reactance triangle.
  • the determined internal stray reactances then serve as a measure of the Leakage flux coupling between the undervoltage windings and / or for leakage flux coupling between the high-voltage winding and one of the low-voltage windings.
  • the advantage of the method according to the invention is that the calculation of the magnetic leakage flux coupling from one winding with all other (n-1) windings without the knowledge of further equivalent circuit diagrams and / or geometric data with only 0.5 * n * (n -1) short circuit measurements is possible.
  • the short circuit measurements can be determined from a theoretical equivalent circuit of the transformer to be designed. Only the matrix of the internal stray reactances j [Xsi_n, m] serves to describe the electrical behavior of all n windings of the transformer. The matrix thus contains all the essential and necessary data necessary for calculating the stray magnetic couplings between the n windings of the transformer.
  • the short circuit reactances are determined from the voltage differences of the voltage differences respectively generated in the windings due to the respective magnetic leakage flux, taking into account the respective currents. Since the inductions of the voltages and thus the voltage differences of the respective windings are generated by the core flux and the respective partial fluxes, the consideration of the voltage differences is a direct measure of the respective magnetic leakage flux coupling of the considered windings.
  • the internal stray reactances are determined in a matrix by means of algebraic operation from the external stray reactances.
  • the matrix calculation allows a quick and easy assignment and calculation of the respective internal stray reactances by means of the known external stray reactances.
  • the major diagonal elements of the outer leakage reactance matrix map the leakage reactances between a high voltage winding and the respective low voltage winding in the outer reactance triangle thus formed, and the minor diagonal elements are the leakage reactances between two lower voltage windings in conjunction with the primary side leakage reactance of the common high voltage winding.
  • the voltage drop across the primary side leakage reactance of a high-voltage winding relative to the total voltage drop across the loaded high-voltage windings and over the loaded undervoltage windings is used as a measure of the magnetic leakage flux coupling between the two low-voltage windings.
  • the current flow through in each case one undervoltage winding and one high-voltage winding is imaged here as an internal leakage reactance of the inner reactance star in the matrix.
  • the magnetic leakage flux couplings are derived from the distribution of the currents from the inverted matrix. For this, 0.5 * n * (n -1) short circuit measurements are made in the n windings and from this the short circuit reactances are determined.
  • the elements of the matrix of the outer 0.5 * n * (n -1) leakage reactances for one pair of windings are calculated from the short circuit measurements and the internal, non-measurable 0.5 * n * (n -1) leakage reactances are calculated for the same pair of windings , wherein the magnetic flux leakage coupling is determined by the ratio of the internal and external leakage reactance of a pair of windings.
  • the matrix operations for the matrix will be performed with appropriate software-based routines, in particular with (Basic Linear Algebra Subprograms) routine.
  • appropriate software-based routines in particular with (Basic Linear Algebra Subprograms) routine.
  • the short circuit measurements are advantageously related to the voltage and power of a winding of the transformer. It is considered an advantage that one winding is defined as a primary winding and all other windings can be represented in a (n -1) * (n -1) matrix.
  • the impressed voltage and / or the impressed current of a winding can be generated due to a short circuit, an idling operation or due to the presence of an impedance.
  • a computer program product solves the problem wherein the computer program product is stored in a computer readable medium and includes computer readable means for causing a computer to perform the inventive method when the program is run in the computer.
  • FIG. 1 shows an equivalent circuit diagram with external reactance triangle and inner reactance star for a 3-winding transformer with two low-voltage windings US;
  • FIG. 2 shows a tabular list of the equivalent circuits of the outer reactance triangles and inner reactance stars for a 4-winding transformer with three undervoltage windings.
  • FIG. 1 shows an equivalent circuit diagram with external reactance triangle and inner reactance star for one
  • the reactances X S i_usif Xsi_us2 and X S i_os_ (usi-us2) are referred to as internal ⁇ reactance and differs from the short-circuit reactance, since it contains the perfect leakage flux and the current flow reflects the voltage difference of the non-loaded windings.
  • the short-circuit reactance indicates the voltage difference between the loaded windings.
  • these outer measurable leakage reactances X S a_os-usi, X sa _os-us2 and X sa _usi-us2 are related to the internal leakage reactances X S i usir Xsi_us2 and X S i_os_ (usi-us2) as an inner reactance star.
  • These internal reactance X S i_usi / Xsi_us2 and X S i_os_ (usi-us2) have exclu ⁇ lich for the considered three-winding transformer valid.
  • the internal leakage reactances X S i_usi / Xsi_us2 and X S i_os_ (usus2) of the two low-voltage windings X S i_usi and X S i_us2 represent these exclusively themselves, while the internal leakage reactance of the high-voltage winding X S i_os_ ⁇ usi-us2) of the two inner Leakage reactances X S i_usif Xsi_us2 depends on the undervoltage windings.
  • the primary-side internal leakage reactance X S i_os_ (usi-us2) is thus a measure of the mutual influence of the two low-voltage windings X S i_usi, Xsi_us2.
  • the common primary-side internal leakage reactance X S i_os_ (usi-us2) as a measure of the magnetic leakage flux coupling of both secondary windings.
  • X S i_os_ (usi-us2)
  • FIG. 2 illustrated three outer reactance triangles with the corresponding three inner Reaktanzsternen.
  • Decisive here is that in each case the high-voltage winding as a primary winding in each equivalent circuit diagram with any combination of two low-voltage windings occurs.
  • the size of the primary-side internal leakage reactance X S i_os_ ⁇ m -n> has for each of the three
  • Winding transformers have a different value.
  • the number of equivalent circuits (nESB) for describing a transformer with n undervoltage windings is determined to .
  • nESB equivalent circuits
  • the secondary diagonal elements of the resulting matrix represent a measure of the primary-side internal leakage reactances, which depend on the two low-voltage windings of the 3-winding transformer. They are not measurable directly between the winding terminals.
  • the main diagonal elements of the matrix are the still valid measure of the externally measurable respective total scattering between two windings.

Landscapes

  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Testing Of Short-Circuits, Discontinuities, Leakage, Or Incorrect Line Connections (AREA)

Abstract

L'invention concerne un procédé de détermination de couplage de flux de dispersion magnétique entre des enroulements d'un transformateur à n enroulements et au moins un enroulement haute tension et au moins un enroulement basse tension. Le procédé est caractérisé en ce qu'on détermine, en se basant sur la mesure des flux de courant nominal à travers les enroulements d'un transformateur, les réactances de court-circuit mesurables, et en ce qu'on considère pour la détermination, respectivement, trois enroulements en tant que triangle de réactance extérieur constitué par les réactances de dispersion extérieures. On effectue ensuite une détermination des réactances de dispersion intérieures au moyen des réactances de court-circuit mesurables, sous forme d'une étoile de réactance intérieure, par rapport aux trois enroulements considérés du triangle de réactance extérieur. Les réactances de dispersion intérieures déterminées servent alors de grandeur, simple à déterminer, pour le couplage de flux de dispersion magnétique entre les enroulements basse tension et/ou pour le couplage de flux de dispersion entre l'enroulement haute tension et l'un des enroulements basse tension.
EP07801627A 2007-08-06 2007-08-06 Procédé de détermination de couplage de flux de dispersion magnétique d'un transformateur Withdrawn EP2183607A1 (fr)

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
PCT/EP2007/007133 WO2009018850A1 (fr) 2007-08-06 2007-08-06 Procédé de détermination de couplage de flux de dispersion magnétique d'un transformateur

Publications (1)

Publication Number Publication Date
EP2183607A1 true EP2183607A1 (fr) 2010-05-12

Family

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Family Applications (1)

Application Number Title Priority Date Filing Date
EP07801627A Withdrawn EP2183607A1 (fr) 2007-08-06 2007-08-06 Procédé de détermination de couplage de flux de dispersion magnétique d'un transformateur

Country Status (2)

Country Link
EP (1) EP2183607A1 (fr)
WO (1) WO2009018850A1 (fr)

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104280662A (zh) * 2014-10-14 2015-01-14 广西电网公司电力科学研究院 一种电力变压器平衡绕组抗短路能力分析方法
CN111596131A (zh) * 2020-04-29 2020-08-28 云南电网有限责任公司昭通供电局 一种双绕组电抗值计算方法及系统

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
FR2988216B1 (fr) * 2012-03-16 2014-04-25 Hager Electro Sas Actionneur electromagnetique a impedance maitrisee
WO2016124698A1 (fr) * 2015-02-06 2016-08-11 Omicron Electronics Gmbh Testeur de transformateur et procédé de test d'un transformateur à trois enroulements
AU2016214660B2 (en) * 2015-02-06 2019-08-22 Omicron Electronics Gmbh Device and method for determining a parameter of a transformer
CN104749440B (zh) * 2015-04-03 2017-08-04 国家电网公司 一种大型电力变压器直流电阻快速测试方法
CN105158565A (zh) * 2015-07-22 2015-12-16 国网山东省电力公司日照供电公司 大型电力变压器直流电阻快速测试辅助装置及其测试方法
CN108551212B (zh) * 2018-05-13 2021-05-04 广东高供电力有限公司 一种面向变压器故障监测装置的收集供电方法
CN108572334B (zh) * 2018-06-01 2020-05-26 南方电网科学研究院有限责任公司 一种变压器异常漏磁监测系统
CN114545296B (zh) * 2022-01-27 2023-04-11 国网电力科学研究院有限公司 变压器匝间故障保护装置、方法及存储介质

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US3267370A (en) * 1963-03-11 1966-08-16 Walter F Praeg Magnetically shielded apparatus for indicating the number of turns and the presence of shorted turns in electric coils
JPH065248B2 (ja) * 1986-11-28 1994-01-19 三菱電機株式会社 変圧器特性模擬装置
JP3311391B2 (ja) * 1991-09-13 2002-08-05 ヴィエルティー コーポレーション 漏洩インダクタンス低減トランス、これを用いた高周波回路及びパワーコンバータ並びにトランスにおける漏洩インダクタンスの低減方法

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GIERSCH, HARTUS, VOGELSANG,: "Elektrische Maschinen", 1 January 1988, pages: 187 - 200 *
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KARL SCHLOSSER: "Eine auf physikalischer Grundlage ermittelte Ersatzschaltung für Transformatoren mit mehreren Wicklungen", BBC-NACHRICHTEN, 31 March 1963 (1963-03-31) - 31 March 1963 (1963-03-31), Mannheim, pages 107 - 132 *
See also references of WO2009018850A1 *

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104280662A (zh) * 2014-10-14 2015-01-14 广西电网公司电力科学研究院 一种电力变压器平衡绕组抗短路能力分析方法
CN104280662B (zh) * 2014-10-14 2017-07-28 广西电网公司电力科学研究院 一种电力变压器平衡绕组抗短路能力分析方法
CN111596131A (zh) * 2020-04-29 2020-08-28 云南电网有限责任公司昭通供电局 一种双绕组电抗值计算方法及系统

Also Published As

Publication number Publication date
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