CN104111365A - Calculation method for transformer primary coil induced electromotive force - Google Patents
Calculation method for transformer primary coil induced electromotive force Download PDFInfo
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- CN104111365A CN104111365A CN201310626469.1A CN201310626469A CN104111365A CN 104111365 A CN104111365 A CN 104111365A CN 201310626469 A CN201310626469 A CN 201310626469A CN 104111365 A CN104111365 A CN 104111365A
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Abstract
Provided is a calculation method for transformer primary coil induced electromotive force. The method comprises the following steps: a transformer no-load vector diagram is established and a corresponding transformer equivalent circuit is obtained according to transformer no-load current (img file='130849dest_path_image001.TIF' wi=31' he='32' /), working voltage (img file='380565dest_path_image002.TIF' wi=30' he='40' /), primary coil induced electromotive force (img file='365839dest_path_image003.TIF' wi=32' he='37' /) and secondary coil induced electromotive force (img file='144439dest_path_image004.TIF' wi=32' he='38' /); active loss current in no-load current (img file='268570dest_path_image006.TIF' wi=31' he='32' /) is (img file='577191dest_path_image007.TIF' wi=88' he='48' /); an equation (img file='57851dest_path_image008.TIF' wi=280' he='32' /) is listed according to the vector diagram and an equivalent circuit diagram; and primary coil induced electromotive force (img file='350292dest_path_image009.TIF' wi=264' he='56' /) is calculated. A problem that transformer induced electromotive force cannot be measured is solved so that a calculation result is accurate, the process is simple, and accurate measurement of transformer induced electromotive force, no-load voltage ratio, and primary and secondary coil leakage impedance and excitation impedance can be realized via corresponding transformer power outage parameter measuring devices.
Description
Technical field
The present invention relates to a kind of computing method of transformer main coil induced potential.
Background technology
The computing method of the induced potential of existing transformer are:
,
be major and minor coil-induced electromotive force, U1 is input circuit voltage, and U2 is output loop voltage, and K is no-load voltage ratio:
Because two equations in above-mentioned equation are all independently, all contain again two unknown numbers, thereby can not from equation, go out unknown number by direct solution
,
, Z1, Z2, Z
m, the value of k.Need to be gone out by no-load test and short-circuit test approximate solution the equation of above-mentioned parameter.Therefore, existing method can not accurately solve the parameter of transformer.
Summary of the invention
The present invention will solve the problems referred to above that prior art exists, a kind of computing method of transformer main coil induced potential are provided, its result is accurate, and process is simple, can realize the Measurement accuracy of transformer induction electromotive force, no-load voltage ratio, main and sub-coil leakage impedance and excitation impedance.
The computing method of the transformer main coil induced potential the present invention relates to, its step is as follows:
1, according to no-load transformer electric current
, operating voltage
, main coil induced electricity electromotive force
, secondary coil induced potential
, set up no-load transformer vector plot, by no-load current
be decomposed into exciting current
, active loss electric current
, by no-load current pressure drop disintegration in main coil leakage impedance, be
;
The direction of the hollow arrow direction indication induced potential in vector plot, filled arrows direction indication voltage and sense of current;
2, according to no-load transformer vector plot, by measuring transformer high side voltage
with step down side voltage
between angle
,
with no-load current
between angle
, and set secondary coil induced potential
, because of main coil induced potential
with secondary coil induced potential
homophase:
Operating voltage
；
3, obtain corresponding transformer equivalent circuit
The direction of arrow shown in equivalent circuit, each vectorial actual direction during for A point noble potential;
4, determine
with
between details relation
4.1）
（1-1）
the exciting current in no-load current,
in iron core, produce magnetic flux and respond to generation, the leading exciting current of induced potential is 90 °;
4.2) no-load current
in active loss electric current
(1-2)
, it is provided by operating voltage U1, direction with
opposite direction;
4.3) in vector plot, can obviously find out that it contains three and take the similar triangles that β is acute angle, just like minor function relation:
4.4), according to vector plot and equivalent circuit diagram, can list the voltage equation of input circuit:
(1-10)
5, determine transformer the first induced potential equation, calculate main coil induced potential E10:
The invention has the beneficial effects as follows: solved the immeasurable problem of transformer induction electromotive force, result of calculation is accurate, process is simple, by corresponding transformer power failure parameter measuring apparatus, can realize the Measurement accuracy of transformer induction electromotive force, no-load voltage ratio, main and sub-coil leakage impedance and excitation impedance.
Accompanying drawing explanation
Fig. 1 is no-load transformer vector plot of the present invention;
Fig. 2 is equivalent circuit diagram of the present invention.
In figure: r1 is primary side resistance, x1 is primary side reactance, and r2 is secondary resistance, and x2 is secondary side reactance, and xm is excitation reactance, and rm is excitation impedance;
Embodiment
Step of the present invention is as follows:
1, according to no-load transformer electric current
, operating voltage
, main coil induced potential
, secondary coil induced potential
, set up no-load transformer vector plot,
In vector plot by no-load current
be decomposed into exciting current
, active loss electric current
, by no-load current, at main coil leakage impedance pressure drop disintegration, be
; In fact α and β angle are all very little, for clearly explanation
with voltage drop in leakage impedance
between details relation and be exaggerated; The direction of the hollow arrow direction indication induced potential in vector plot, filled arrows direction indication voltage and sense of current;
2,, according to no-load transformer vector plot, measure
with
between angle
;
3, obtain corresponding transformer equivalent circuit
The direction of arrow shown in equivalent circuit, each vectorial actual direction during for A point noble potential,
In figure: r1 is primary side resistance, x1 is primary side reactance, and r2 is secondary resistance, and x2 is secondary side reactance, and xm is excitation reactance, and rm is excitation impedance,
for open-circuit voltage;
4, determine
with
between details relation
Electromagnetic induction information is richly stored with in vector plot:
1）
（1-1）
be the exciting current in no-load current, in iron core, produce magnetic flux and respond to generation, be i.e. the leading exciting current of induced potential
;
2) the active loss electric current in no-load current
(1-2)
It is provided by operating voltage U1, direction with
opposite direction;
3) in vector plot, can obviously find out that it contains three and take the similar triangles that β is acute angle, just like minor function relation:
4), according to vector plot and equivalent circuit diagram, can list the voltage equation of input circuit
5, determine transformer the first induced potential equation, calculate main coil induced potential E10:
(being called transformer the first induced potential equation), in formula
, α is the supplementary angle at excitation impedance angle;
, β serves as theme and encloses the supplementary angle at leakage impedance angle;
,
for the phasing degree of supply voltage, be again excitation impedance angle simultaneously;
the induced potential of serving as theme on circle;
for being applied to the operating voltage on main coil.
For from above-mentioned four equations, directly accurately obtain the value of transformer parameter.The present invention starts with from formula 2 transformer input circuit voltage equations, has proposed a kind of leakage impedance pressure drop disintegration method of elimination.And therefrom find out the funtcional relationship between each differential pressure drop and induced potential, formula 2 is become only take the linear equation with one unknown that induced potential is unknown number, thereby realized the Measurement accuracy to induced potential.By to no-load transformer and load measurement results, the second induced potential equation and main and sub-coil leakage impedance difference equation while having found transformer load again.And according to the feature of leakage impedance difference equation, for the on-line monitoring of transformer shorted-turn fault provides foundation.
Claims (1)
1. the computing method of transformer main coil induced potential, is characterized in that step is as follows:
A, according to no-load transformer electric current
, operating voltage
, main coil induced electricity electromotive force
, secondary coil induced potential
, set up no-load transformer vector plot, by no-load current
be decomposed into exciting current
, active loss electric current
, by no-load current pressure drop disintegration in main coil leakage impedance, be
;
The direction of the hollow arrow direction indication induced potential in vector plot, filled arrows direction indication voltage and sense of current;
B, according to no-load transformer vector plot, by measuring transformer high side voltage
with step down side voltage
between angle
,
with no-load current
between
, and set secondary coil induced potential
, because of main coil induced potential
with secondary coil induced potential
homophase:
Operating voltage
；
C, obtain corresponding transformer equivalent circuit, each vectorial actual direction when the direction of arrow shown in equivalent circuit is A point noble potential;
D, definite
with
between details relation
（1）
（1-1）
the exciting current in no-load current,
in iron core, produce magnetic flux and respond to generation, the leading exciting current of induced potential is 90 °;
(2) no-load current
in active loss electric current
(1-2)
, it is provided by operating voltage U1, direction with
opposite direction;
(3) in vector plot, can obviously find out that it contains three and take the similar triangles that β is acute angle, just like minor function relation:
(4), according to vector plot and equivalent circuit diagram, can list the voltage equation of input circuit:
(1-10)
E, determine transformer the first induced potential equation, calculate main coil induced potential E10:
Priority Applications (1)
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| CN201310626469.1A CN104111365B (en) | 2013-12-02 | 2013-12-02 | The computational methods of transformer main coil induced potential |
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|---|---|---|---|
| CN201310626469.1A CN104111365B (en) | 2013-12-02 | 2013-12-02 | The computational methods of transformer main coil induced potential |
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| CN104111365A true CN104111365A (en) | 2014-10-22 |
| CN104111365B CN104111365B (en) | 2017-06-30 |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106324354A (en) * | 2016-08-29 | 2017-01-11 | 张正 | Transformer leakage impedance detecting method and device, fault detecting method and device |
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| CN101794321A (en) * | 2009-06-25 | 2010-08-04 | 华北电力大学 | Single-phase three-winding autotransformer model taking account of nonlinear influences of excitation impedance |
| CN102735940A (en) * | 2012-06-08 | 2012-10-17 | 魏明 | Three-phase transformer winding leakage reactance simplified measuring method |
-
2013
- 2013-12-02 CN CN201310626469.1A patent/CN104111365B/en active Active
Patent Citations (5)
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|---|---|---|---|---|
| GB191504595A (en) * | 1915-03-24 | 1916-03-23 | British Thomson Houston Co Ltd | Improvements in and relating to the Protection of Alternating Current Electric Systems. |
| CN101105517A (en) * | 2007-06-12 | 2008-01-16 | 清华大学 | Gamma/ transformer triangle winding circumfluence algorithm method and device |
| CN101650398A (en) * | 2009-06-03 | 2010-02-17 | 云南电力试验研究院（集团）有限公司电力研究院 | Test method and compensation calculation method for measuring voltage-current characteristic of ferromagnetic element by low-frequency variable-frequency power source |
| CN101794321A (en) * | 2009-06-25 | 2010-08-04 | 华北电力大学 | Single-phase three-winding autotransformer model taking account of nonlinear influences of excitation impedance |
| CN102735940A (en) * | 2012-06-08 | 2012-10-17 | 魏明 | Three-phase transformer winding leakage reactance simplified measuring method |
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|---|
| T. WATERHOUSE ET AL.: "Calculation of errors in three-winding voltage transformers", 《JOURNAL OF THE INSTITUTION OF ELECTRICAL ENGINEERS - PART II: POWER ENGINEERING》 * |
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106324354A (en) * | 2016-08-29 | 2017-01-11 | 张正 | Transformer leakage impedance detecting method and device, fault detecting method and device |
| CN106324354B (en) * | 2016-08-29 | 2017-05-31 | 张正 | A kind of transformer leakage impedance detection method and device, fault detection method and device |
Also Published As
| Publication number | Publication date |
|---|---|
| CN104111365B (en) | 2017-06-30 |
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Inventor after: Zhang Wenhui Inventor after: Cui Jisheng Inventor after: Yu Mingkai Inventor after: Gang Hong Inventor after: Qiu Peng Inventor after: Xie Qiushuang Inventor after: Zhang Yibo Inventor before: Zhang Wenhui Inventor before: Yu Mingkai Inventor before: Gang Hong Inventor before: Qiu Peng Inventor before: Xie Qiushuang Inventor before: Zhang Yibo |
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