CN107423528A - A kind of Winding in Power Transformer short circuit transient state force analysis method and device - Google Patents
A kind of Winding in Power Transformer short circuit transient state force analysis method and device Download PDFInfo
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- CN107423528A CN107423528A CN201710757312.0A CN201710757312A CN107423528A CN 107423528 A CN107423528 A CN 107423528A CN 201710757312 A CN201710757312 A CN 201710757312A CN 107423528 A CN107423528 A CN 107423528A
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- H—ELECTRICITY
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- H01F—MAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
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- H01F27/28—Coils; Windings; Conductive connections
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Abstract
The embodiment of the invention discloses a kind of Winding in Power Transformer short circuit transient state force analysis method and device, the present invention establishes the Three-Dimensional Magnetic structure Coupling model of three-phase transformer, beforehand through the STATIC SIMULATION that short circuit in winding is carried out to coupling model, obtain winding stress result, coil modeling is continued to coupling model according to winding stress result, transformer model after being refined, then in the case of three-phase shortcircuit, transient electromagnetic field simulation analysis are carried out to the transformer model after refinement, analyze the transient state stress of the single-turn circular coil of winding, the transient state stress curve that winding coil changes over time is drawn, for the cumulative effect to transformer under short-circuit impact, improve the correlative studys such as the resistance to shorting intensity of transformer and strong foundation is provided.
Description
Technical field
The present invention relates to Winding in Power Transformer short circuit calculation field, more particularly to a kind of Winding in Power Transformer short circuit wink
State force analysis method and device.
Background technology
Power transformer is also nucleus equipment of the connection power network with user as a power equipment in power network,
Carry important power transformation task.But transformer occur short trouble when, its winding due to galvanomagnetic-effect be subject to it is electronic
Power is very big, easily causes winding damage.
At present, there is not ripe, complete technology also in the research for carrying out multiple physical field Coupled Numerical Simulation to transformer
Basis is provided for it and is supported.
Therefore, for problem above, there is provided a kind of Winding in Power Transformer short circuit transient state force analysis method is to solve
Transformer, which is carried out, at present the technology on ripe, complete technical know-how basis in the research of multiple physical field Coupled Numerical Simulation
Problem.
The content of the invention
The embodiments of the invention provide a kind of Winding in Power Transformer short circuit transient state force analysis method and device, solve
Transformer, which is carried out, at present the technology on ripe, complete technical know-how basis in the research of multiple physical field Coupled Numerical Simulation
Problem.
The embodiments of the invention provide a kind of Winding in Power Transformer short circuit transient state force analysis method, including：
S1：The Three-Dimensional Magnetic structure Coupling model of three-phase transformer is built, the winding of Three-Dimensional Magnetic structure Coupling model is impartial
It is divided into ten subregions；
S2：Short circuit in winding STATIC SIMULATION operation is carried out to Three-Dimensional Magnetic structure Coupling model, obtains winding by force density, according to
Winding by force density be calculated the subregion winding stress result of high pressure winding and low pressure winding；
S3：Coil modeling is carried out to the subregion winding of high pressure winding, low pressure winding according to subregion stress result, refined
Transformer model afterwards；
S4：The middle pressure winding of transformer model after refinement is opened a way, and low pressure winding is short-circuit, high pressure winding is applied
Preset first three short circuit current, preset second three short circuit current is applied to low pressure winding, A phases height is obtained by simulation calculation
Press the coil transient state of winding, A phases low pressure winding, B phase high pressures winding, B phases low pressure winding, C phase high pressure windings and C phase low pressure windings
Stress waveform.
Preferably, step S1 is specifically included：
The Three-Dimensional Magnetic structure Coupling model of three-phase transformer is built, the winding of Three-Dimensional Magnetic structure Coupling model is divided into
Ten subregions, wherein, the winding of transformer is arranged to drum type brake winding, and the iron core of transformer is arranged to solid cylinder, transformation
The iron yoke of device is arranged to solid rectangles.
Preferably, step S2 is specifically included：
The middle pressure winding of Three-Dimensional Magnetic structure Coupling model is opened a way, applies the excitation that maximum is 1500A to high pressure winding
Electric current, apply the exciting current that maximum is 17323.53A to low pressure winding, winding is obtained by force density, according to winding stress
Density carries out that radial pressure and axial compressive force that each subregion winding is subject to is calculated.
Preferably, step S3 is specifically included：
The radial pressure and axial compressive force being subject to according to each subregion winding establish one to the tenth subregion of high pressure winding
One circle coil, a circle coil is established respectively to the tenth subregion of low pressure winding and the 7th subregion, the transformation after being refined
Device model.
Preferably, the embodiment of the present invention additionally provides a kind of Winding in Power Transformer short circuit transient state force analysis device, bag
Include：
First modeling unit, for building the Three-Dimensional Magnetic structure Coupling model of three-phase transformer, by Three-Dimensional Magnetic structure Coupling
The winding of model is divided into ten subregions；
First simulation unit, for Three-Dimensional Magnetic structure Coupling model carry out short circuit in winding STATIC SIMULATION operation, obtain around
Group by force density be calculated the subregion winding stress result of high pressure winding and low pressure winding by force density according to winding；
Second modeling unit, for entering line to the subregion winding of high pressure winding, low pressure winding according to subregion stress result
Circle modeling, the transformer model after being refined；
Second simulation unit, for the middle pressure winding of the transformer model after refinement to be opened a way, and low pressure winding is short-circuit,
Preset first three short circuit current is applied to high pressure winding, preset second three short circuit current is applied to low pressure winding, by imitative
It is low with C phases that A phase high pressures winding, A phases low pressure winding, B phase high pressures winding, B phases low pressure winding, C phase high pressure windings really is calculated
Press the coil transient state stress waveform of winding.
Preferably, the first modeling unit is additionally operable to build the Three-Dimensional Magnetic structure Coupling model of three-phase transformer, by Three-Dimensional Magnetic
The winding of structure Coupling model is divided into ten subregions, wherein, the winding of transformer is arranged to drum type brake winding, transformer
Iron core is arranged to solid cylinder, and the iron yoke of transformer is arranged to solid rectangles.
Preferably, the first simulation unit is additionally operable to open a way the middle pressure winding of Three-Dimensional Magnetic structure Coupling model, to high voltage winding
Group applies the exciting current that maximum is 1500A, applies the exciting current that maximum is 17323.53A to low pressure winding, obtains
Winding be calculated the radial pressure and axially press that each subregion winding is subject to by force density, according to winding by force density
Power.
Preferably, the radial pressure and axial compressive force that the second modeling unit is additionally operable to be subject to according to each subregion winding are to height
Tenth subregion of pressure winding establishes a circle coil, and one one is established respectively to the tenth subregion of low pressure winding and the 7th subregion
Circle coil, the transformer model after being refined.
As can be seen from the above technical solutions, the embodiment of the present invention has advantages below：
The embodiments of the invention provide a kind of Winding in Power Transformer short circuit transient state force analysis method and device, the present invention
Establish Three-Dimensional Magnetic-structure Coupling model of three-phase transformer, beforehand through to coupling model carry out short circuit in winding STATIC SIMULATION,
Winding stress result is obtained, continues to coil modeling, the change after being refined to coupling model according to winding stress result
Depressor model, then in the case of three-phase shortcircuit, transient electromagnetic field simulation analysis are carried out to the transformer model after refinement, point
The transient state stress of the single-turn circular coil of winding is analysed, the transient state stress curve that winding coil changes over time has been drawn, for transformer
The correlative studys such as the resistance to shorting intensity of cumulative effect, raising transformer under short-circuit impact provide strong foundation.
Brief description of the drawings
In order to illustrate more clearly about the embodiment of the present invention or technical scheme of the prior art, below will be to embodiment or existing
There is the required accompanying drawing used in technology description to be briefly described, it should be apparent that, drawings in the following description are only this
Some embodiments of invention, for those of ordinary skill in the art, without having to pay creative labor, may be used also
To obtain other accompanying drawings according to these accompanying drawings.
Fig. 1 is an a kind of reality of Winding in Power Transformer short circuit transient state force analysis method provided in an embodiment of the present invention
Apply the schematic flow sheet of example；
Fig. 2 is another of a kind of Winding in Power Transformer short circuit transient state force analysis method provided in an embodiment of the present invention
The schematic flow sheet of embodiment；
Fig. 3 is an a kind of reality of Winding in Power Transformer short circuit transient state force analysis device provided in an embodiment of the present invention
Apply the structural representation of example；
Fig. 4 is Three-Dimensional Magnetic-structure Coupling model of three-phase transformer；
Fig. 5 is the partition model figure of winding 10；
Fig. 6 is winding by force density plan view；
Fig. 7 is winding by force density top view；
Fig. 8 is the resultant radial force schematic diagram that high pressure winding is subject to；
Fig. 9 is the resultant radial force schematic diagram that low pressure winding is subject to；
Figure 10 is that the axial direction that is subject to of high pressure winding is made a concerted effort schematic diagram；
Figure 11 is that the axial direction that is subject to of low pressure winding is made a concerted effort schematic diagram；
Figure 12 is the transformer model after refinement；
Figure 13 is the radial transient state stress oscillogram of A phase high pressure windings upper end (the tenth subregion) coil；
Figure 14 is A phase high pressure windings upper end (the tenth subregion) coil axial direction transient state stress oscillogram；
Figure 15 is the radial transient state stress oscillogram of A phases low pressure winding (the 7th subregion) coil；
Figure 16 is A phases low pressure winding (the 7th subregion) coil axial direction transient state stress oscillogram；
Figure 17 is the radial transient state stress oscillogram of A phase low pressure windings upper end (the tenth subregion) coil；
Figure 18 is A phase low pressure windings upper end (the tenth subregion) coil axial direction transient state stress oscillogram；
Figure 19 is the radial transient state stress oscillogram of B phase high pressure windings upper end (the tenth subregion) coil；
Figure 20 is B phase high pressure windings upper end (the tenth subregion) coil axial direction transient state stress oscillogram；
Figure 21 is the radial transient state stress oscillogram of B phases low pressure winding (the 7th subregion) coil；
Figure 22 is B phases low pressure winding (the 7th subregion) coil axial direction transient state stress oscillogram；
Figure 23 is the radial transient state stress oscillogram of B phase low pressure windings upper end (the tenth subregion) coil；
Figure 24 is B phases low pressure winding (the tenth subregion) coil axial direction transient state stress oscillogram；
Figure 25 is the radial transient state stress oscillogram of C phase high pressure windings upper end (the tenth subregion) coil；
Figure 26 is C phase high pressure windings upper end (the tenth subregion) coil axial direction transient state stress oscillogram；
Figure 27 is the radial transient state stress oscillogram of C phases low pressure winding (the 7th subregion) coil；
Figure 28 is C phases low pressure winding (the 7th subregion) coil axial direction transient state stress oscillogram；
Figure 29 is the radial transient state stress oscillogram of C phase low pressure windings upper end (the tenth subregion) coil；
Figure 30 is C phase low pressure windings upper end (the tenth subregion) coil axial direction transient state stress oscillogram.
Embodiment
The embodiments of the invention provide a kind of Winding in Power Transformer short circuit transient state force analysis method and device, solve
Transformer, which is carried out, at present the technology on ripe, complete technical know-how basis in the research of multiple physical field Coupled Numerical Simulation
Problem.
To enable goal of the invention, feature, the advantage of the present invention more obvious and understandable, below in conjunction with the present invention
Accompanying drawing in embodiment, the technical scheme in the embodiment of the present invention is clearly and completely described, it is clear that disclosed below
Embodiment be only part of the embodiment of the present invention, and not all embodiment.Based on the embodiment in the present invention, this area
All other embodiment that those of ordinary skill is obtained under the premise of creative work is not made, belongs to protection of the present invention
Scope.
Referring to Fig. 1, a kind of Winding in Power Transformer short circuit transient state force analysis method provided in an embodiment of the present invention
One embodiment, including：
101st, the Three-Dimensional Magnetic structure Coupling model of three-phase transformer is built, the winding of Three-Dimensional Magnetic structure Coupling model is impartial
It is divided into ten subregions；
102nd, short circuit in winding STATIC SIMULATION operation is carried out to Three-Dimensional Magnetic structure Coupling model, obtains winding by force density, root
By force density be calculated the subregion winding stress result of high pressure winding and low pressure winding according to winding；
103rd, coil modeling is carried out to the subregion winding of high pressure winding, low pressure winding according to subregion stress result, obtained thin
Transformer model after change；
104th, the middle pressure winding of the transformer model after refinement is opened a way, and low pressure winding is short-circuit, high pressure winding is applied
Add preset first three short circuit current, preset second three short circuit current is applied to low pressure winding, A phases are obtained by simulation calculation
High pressure winding, A phases low pressure winding, B phase high pressures winding, B phases low pressure winding, the coil wink of C phase high pressure windings and C phase low pressure windings
State stress waveform.
The present invention establishes Three-Dimensional Magnetic-structure Coupling model of three-phase transformer, and winding is carried out beforehand through to coupling model
The STATIC SIMULATION of short circuit, obtains winding stress result, continues to coil modeling to coupling model according to winding stress result,
Transformer model after being refined, then in the case of three-phase shortcircuit, transient state electricity is carried out to the transformer model after refinement
Magnetic Field Simulation Analysis, the transient state stress of the single-turn circular coil of winding is analyzed, drawn the transient state stress that winding coil changes over time
Curve, to be provided with to correlative studys such as cumulative effect of the transformer under short-circuit impact, the resistance to shorting intensity for improving transformer
The foundation of power.
It is a kind of one embodiment of Winding in Power Transformer short circuit transient state force analysis method above, it is more specific to carry out
Explanation, a kind of another embodiment of Winding in Power Transformer short circuit transient state force analysis method is provided below, refers to figure
2, a kind of another embodiment of Winding in Power Transformer short circuit transient state force analysis method provided by the invention, including：
201st, the Three-Dimensional Magnetic structure Coupling model of three-phase transformer is built, the winding of Three-Dimensional Magnetic structure Coupling model is impartial
It is divided into ten subregions, wherein, the winding of transformer is arranged to drum type brake winding, and the iron core of transformer is arranged to solid cylinder,
The iron yoke of transformer is arranged to solid rectangles；
Before simulation calculation is carried out, the Three-Dimensional Magnetic structure Coupling model of three-phase transformer need to be built, by three-dimensional magnetic structure
The winding of coupling model is divided into ten subregions.
202nd, the middle pressure winding of Three-Dimensional Magnetic structure Coupling model is opened a way, it is 1500A's to apply maximum to high pressure winding
Exciting current, apply the exciting current that maximum is 17323.53A to low pressure winding, winding is obtained by force density, according to winding
Be calculated the radial pressure and axial compressive force that each subregion winding is subject to by force density；
After obtaining the Three-Dimensional Magnetic structure Coupling model of three-phase transformer, the middle pressure winding of Three-Dimensional Magnetic structure Coupling model is opened
Road, apply the exciting current that maximum is 1500A to high pressure winding, it is that 17323.53A swashs to apply maximum to low pressure winding
Electric current is encouraged, obtains winding by force density, the radial pressure that each subregion winding is subject to be calculated by force density according to winding
Power and axial compressive force.
203rd, the tenth subregion of high pressure winding is established according to the radial pressure and axial compressive force that each subregion winding is subject to
One circle coil, establishes a circle coil, after being refined respectively to the tenth subregion of low pressure winding and the 7th subregion
Transformer model；
After radial pressure and axial compressive force that each subregion winding is subject to is calculated, it is subject to according to each subregion winding
Radial pressure and axial compressive force establish a circle coil to the tenth subregion of high pressure winding, to the tenth subregion of low pressure winding and
7th subregion establishes a circle coil, the transformer model after being refined respectively.
204th, the middle pressure winding of the transformer model after refinement is opened a way, and low pressure winding is short-circuit, high pressure winding is applied
Add preset first three short circuit current, preset second three short circuit current is applied to low pressure winding, A phases are obtained by simulation calculation
High pressure winding, A phases low pressure winding, B phase high pressures winding, B phases low pressure winding, the coil wink of C phase high pressure windings and C phase low pressure windings
State stress waveform.
After establishing the transformer model after refinement, winding transient state force analysis need to be carried out, by the transformer model after refinement
Middle pressure winding open circuit, and by low pressure winding short circuit, preset first three short circuit current is applied to high pressure winding, to low pressure winding
Apply preset second three short circuit current, by simulation calculation obtain A phase high pressures winding, A phases low pressure winding, B phase high pressures winding,
The coil transient state stress waveform of B phases low pressure winding, C phase high pressure windings and C phase low pressure windings.
The above is the detailed description carried out to a kind of Winding in Power Transformer short circuit transient state force analysis method, for ease of reason
Solution, will be said with a concrete application scene to a kind of application of Winding in Power Transformer short circuit transient state force analysis method below
Bright, application examples includes：
1.1 Three dimensional transient field computation principle
ANSYS Maxwell softwares, using T- Ω algorithms, but can use local subdivision in Three dimensional transient field
Method come calculate Three dimensional transient motion caused by effect.For low frequency transient magnetic field, maxwell equation group can be written as formula (1-
1) form.
On the basis of (1-1) formula, two identities can be constructed, as shown in formula (1-2).
When solving Three dimensional transient magnetic field, the vector position free degree on its seamed edge employs single order member and calculated, and on node
The scalar potential free degree using second order member calculate.In Three dimensional transient magnetic field, voltage source or current source can be called as model
Driving source, and winding is divided into two kinds, one kind is twisted wire type winding, and one kind is entity winding.Wherein twisted wire winding does not consider whirlpool
Flow distribution, it is believed that in winding it is electric it is close be substantially uniformity, and entity winding then needs to calculate its Kelvin effect.Applying voltage
During source, the electric current on winding is not aware that, so the voltage for needing to carry out on winding loop calculates.For twisted wire type winding, because
Its resistance value is a lumped parameter, so when applied voltage source, directly can be calculated by voltage source and D.C. resistance
The numerical value of electric current is obtained, and for entity coil, because its resistance value is relevant with frequency, material etc., the resistance is also referred to as
AC resistance.To entity coil apply voltage source when its alternating current resistance be not aware that, ANSYS Maxwell be first by
Illuminated (1-3) is calculated：
JoiIt is electric close on i-th of loop, equally comprising the component on tri- directions of X, Y, Z, if the magnetic field changed,
Winding back-emf so should be also calculated, back-emf can calculate according to formula (1-4).
In Three dimensional transient magnetic field, transient state includes two implications, one be transient state electromagnetic process, one be transient state machine
Tool process., it is necessary to introduce the discrete calculation to displacement or angle in mechanical transient process is handled, its discrete scheme can be according to
Formula (1-5) describes.
X therein represents mechanical displacement, can be that distance can also be angle.In addition, for it is nonlinear processing with
Preceding several solvers are similar, and using Newton-Raphson algorithm.
1.2 Windings Electromagnetic Force
Because electromagnetic force is decided by square of electric current, electromagnetic force is one direction and is pulse property.In pure sinusoid
During electric current, power is made up of the alternating component of stationary component and doubled frequency.But general Study is power caused by short circuit current,
The equation of electromagnetic force is：
In formula：FmaxIt is peak-peak power.This power is made up of four components, i.e.,：Two unidirectional components, one is constant,
Another amount to decay with the time；Two alternating components, a frequency are fundamental wave but decayed with the time；Another frequency is twice
Frequency, its value is smaller, but amplitude is constant.
1.2.1 radial electromagnetic force
It is conventional and convenient calculating that short-circuit electromagnetic force is divided into radial component and axial component (diametral force and axial force)
The method of short-circuit force.In Strength co-mputation, it may be considered that independently calculate, because both power generally produce different answer
Power, trigger different, independent defective pattern.
Diametral force is as caused by axial magnetic flux, and the maximum of axial magnetic flux vector reaches maximum in main empty path：
In formula：
1.256 × 10-6 --- air permeability (H/m)；
The electric number of turn (circle) of N --- winding；
I --- the root-mean-square valve (A) of electric current in winding；
The geometric average height (mm) of Hw --- winding.
If conductor coiling is very tight, common burden electromagnetic force can be actually reached between conductor, therefore be reasonable to assume that
It is as follows that all radial conductor per unit lengths bear mean force：
I in formulacIt is electric current in wire.
If ignoring the reduction of winding overhang axial flux density, whole diametral force Frad of whole winding are
1.2.2 axial electromagnetic force
Axial force is due to the result for occurring to occur in a pair of end-connection leakage fluxs radial bending, by axial electromagnetic force
Direction mainly from winding overhang to winding middle part.In this arrangement, close to iron core interior winding (be typically low pressure around
Group), enter iron core column because more magnetic flux is radial and close, than there is higher axial force in outside winding.Each post around
Group total axial force calculation formula be：
In formula：
Hw --- winding geometric average height (mm)；
The average diameter (mm) of Dm --- inside and outside winding；
D --- main empty path width (mm)；
The radial width (mm) of a1, a2 --- winding 1, winding 2；
K --- Rogovski coefficient, work as satisfaction
Then
2 Case Simulations are analyzed
2.1 establish geometrical model
By taking model SFPSZ7-150000/220 transformer as an example, with 1:1 ratio establish three-phase three-dimensional magnetic-
Structure Coupling model.Wherein the winding of transformer can be modeled using drum type brake winding, and the iron core of transformer can be adopted
With solid cylinder volume modeling, iron yoke uses solid rectangles block, iron core cylinder is connected.
The Transformer Winding parameter of table 2.1
The transformer elementary structure parameter of table 2.2
Each structure material parameter of the transformer of table 2.3
Three list datas and association attributes more than, can establish out three-phase three-dimensional magnetic-knot such as Fig. 4 transformers
Structure coupling model.
Because inside transformer geometrical construction is complicated, in order to calculate simplicity, make in the working limit for meet computer multiple
Miscellaneous question simplification, therefore this research makes hypothesis below in the threedimensional model for establishing transformer：
(1) structure of pressing plate and folder is ignored, it is equivalent by loading pretightning force；
(2) winding uses tubular structure, ignores the influence of the structural members such as winding, cushion block, stay, turn-to-turn insulation；
(3) be approximately considered the structural member of transformer material uniformly, isotropism；
(4) fuel tank and oil (the vacuum area replacement for using simulation calculation) of transformer are ignored.
The setting of cast material：
Iron core uses the silicon steel in material depot to be made, and Transformer Winding is using the copper of material depot into zoning uses
Vacuum.
2.2 threedimensional model simulation analysis
This emulation thinking is：STATIC SIMULATION is first carried out, then carries out Transient again.Due to Transformer Winding
When carrying out transient state force analysis, the stress curve changed over time to each position of winding can not be made, so to transformer
Before winding transient state force analysis, winding is first analyzed when short circuit current reaches peak value, carries out static analysis, draws winding entirety
Stressing conditions, sum up some larger positions of winding stress.Then in the case where applying transient current, for these ratios
Weaker part, refinement modeling is carried out to the model of vulnerable area, a circle coil is individually established in the region of vulnerable area, is obtained
Go out the stress curve that coil changes over time.
So according to the emulation thinking described in the preceding paragraph, STATIC SIMULATION is first carried out, the excitation of application is that short circuit current reaches
Value during maximum, i.e. high pressure winding are 1500A, middle pressure winding open circuit, low pressure winding 17323.53A.Winding model from
Under to 10 subregions are above divided into, as shown in Figure 5.
STATIC SIMULATION is carried out, simulation result is as shown in Figure 6 and Figure 7.
Then calculate that each subregion winding is subject to makes a concerted effort, and as resultant radial force and axially makes a concerted effort, radial conjunction in this software
Power is divided into makes a concerted effort with what is be subject in Y-direction in X direction in transformer model coordinate system, and axial force is the conjunction along Z-direction
Power.After the data export that software is calculated, the curve to Figure 11 such as Fig. 8 can be made.
Wherein, the ordinate Force_XY in Fig. 8 and Fig. 9 represents resultant radial force, and abscissa is subregion number；Figure 10 and figure
Ordinate Force_Z in 11 represents axially to make a concerted effort, and abscissa is subregion number.
By Fig. 6, Fig. 7, Fig. 8, Fig. 9, Figure 10, Figure 11, following rule can be drawn：
(1) diametral force that high pressure winding is subject to is outside, and equivalent to tensile force outward, low pressure winding is subject to radial
Power is inside, and equivalent to compression stress inward；The axial force of high pressure winding and low pressure winding end is all toward in the middle part of winding
Compress in direction.
(2) resultant radial force that low pressure winding is subject to and axial direction make a concerted effort by corresponding to be made a concerted effort more than high pressure winding；
The high pressure winding and low pressure winding of (3) 10 partition models are all the resultant radial force maximums being subject in the 7th subregion；
The high pressure winding and low pressure winding of (4) 10 partition models are all the axial direction being subject at both ends maximums with joint efforts.
So the thinking based on emulation above-mentioned, before Transient analysis is carried out, first in high pressure winding the 10th
Subregion individually establishes a circle coil, then individually establishes one one in the 10th subregion of low pressure winding and the distribution of the 7th subregion
Circle coil.
Model after foundation is as shown in figure 12.
Excitation of this emulation is short circuit current, the number recorded in the transformer short-circuit experiment that the data of short circuit current use
Short circuit experiment according to, transformer be high pressure winding to low pressure winding short circuit experiment, experimental voltage put on high pressure line end with it is neutral
Point between, low pressure dead-short-circuit, in press off road one point earth.By the data of record, short circuit current waveform curve corresponding to fitting
With short circuit current function.
High-pressure side A, B, C three short circuit current function：
Medium voltage side is opened a way
Low-pressure side a, b, c three short circuit current function：
As known from the above, short circuit current reaches maximum in 0.01S, and high-pressure side short circuit current maximum is 1500A, low
It is 17323.53A to press side short circuit current maximum.Relay protection in view of transformer typically acts in 0.1S, so this
The duration of emulation is arranged to 0.08S.After ANSYS Maxwell simulation softwares set up edge-restraint condition, obtain such as Figure 13
To Figure 30 transient state force analysis curve map, Force_X and Force_Y in figure represent that diametral force is divided into X-direction and Y-axis side
To.
Oscillogram is a single-turn circular coil in stress weakness zone particular location suffered by radial and axial direction above
Oscillogram with joint efforts；The object of high voltage winding group analysis is a single-turn circular coil positioned at the 10th subregion, the analysis pair of low pressure winding
As if positioned at the 7th subregion and two single-turn circular coils of the 10th subregion.Because the object of force analysis is single-turn circular coil, therefore can be with
Think this single-turn circular coil entirety stress be it is equally distributed, by calculate suffered by single-turn circular coil make a concerted effort divided by single-turn circular coil
Volume, it is possible to draw the physical density of single-turn circular coil, that is, draw the stressing conditions of each part of single-turn circular coil.
In this emulation, the resultant radial force suffered by coil is divided into along X-axis and along Y direction, by theory above point
Analysis understand the diametral force suffered by coil be due to axial leakage field with electric current caused by, and axial force is due to then radial stray field
Caused by electric current.From above-mentioned simulation waveform：
Among the high pressure winding of A, B, C three-phase, the resultant radial force suffered by single-turn circular coil positioned at the subregion of A phases the 10th is most
Big value is maximum, size 73844N, divided by the volume (0.0024m of high pressure winding single-turn circular coil3), obtain the body of single-turn circular coil
Force density is 3.08*107/m3；But three is almost equal in terms of axially loaded, the size of physical density is 8.43*106/m3。
Among the low pressure winding of A, B, C three-phase, in the three-phase windings coil of the 7th subregion, B phase windings coil by
Diametral force it is minimum, the diametral force that A, C phase are subject to is almost equal, and largest body force density size is 9.11*108/m3, axial direction by
Three is almost equal in terms of power, and physical density size is 3.02*107/m3；In the three-phase windings coil of the 10th subregion, C phases
The diametral force that coil is subject to is maximum, and largest body force density size is 3.87*108/m3, three's also almost phase in terms of axially loaded
Deng physical density size is 9.05*107/m3。
Under the impact of short circuit current, the amplitude variation tendency of the transient state stress waveform of winding is substantially kept with short circuit current
Unanimously, but when transient state stress waveform first time zero crossing, waveform starts to overlap with X-axis, duration 0.04s, and second
During secondary zero crossing, shortened with the X-axis time of coincidence；Face is developed in the backward, and the time of coincidence is shorter, and is gradually distance from X-axis.
The direction of diametral force suffered by outer winding (high pressure winding) and interior winding (low pressure winding) is opposite, outer winding
The trend expanded outwardly is presented, interior winding is the trend that compression of inwardly caving in is presented.And in terms of axially loaded, either outer winding
Winding in or, the axial force of the upper bottom half of each winding are presented law of symmetry, i.e. the axial force that the winding of upper half is subject to
The trend compressed downwards is presented, and the trend compressed upwards is presented in the axial force that the winding of bottom half is subject to；End winding coil
To the axial force suffered by the winding coil of middle part in the trend being gradually reduced.
The maximum generation of transient state stress waveform reaches maximum at 0.01s moment, now short circuit current.The maximum of power
Reach million Ns of ranks, thus cushion block, stay, the pressing plate test to winding are huge.
3 conclusions
Domestic researcher is when studying calculating transformer winding electric power, due to the limit of computer and simulation software
Transformer model, can only be divided into several subregions by system, and transformer winding model can not be refine to specific every circle coil, entered
And the electric power calculated is the electric power being integrally subject to based on subregion, due to subregion entirety discontinuity, so calculate
Error be present not only without reference to meaning in electric power out；Although some scholars are in study two-dimensional Transformer Winding
During model, accomplish that enough refinements are distinguished, but due to the limitation of two dimensional model, transformer winding wire can not be fully taken into account
The stress change of circle circumferentially, and threedimensional model solves this problem just.
For the present invention on the basis of Transformer Winding partition model, the single-turn circular coil for further refineing to winding is research pair
As.Certainly, because condition limitation can not make the transient state force analysis of every circle coil of winding, thus it is of the invention choose be around
Single-turn circular coil at the maximum representative region of group stress, has certain representativeness.It is by the single-turn circular coil for choosing diverse location
Research object, so with the increase of simulation study number, it can necessarily make the transient state force analysis of every circle coil of winding.
The winding transient state force analysis that the research simultaneously is made is alternatively accumulation caused by Transformer Winding after the multiple short-circuit impact of experience
The research of effect provides foundation.
An a kind of referring to Fig. 3, reality of Winding in Power Transformer short circuit transient state force analysis device provided by the invention
Example is applied, including：
First modeling unit 301, for building the Three-Dimensional Magnetic structure Coupling model of three-phase transformer, by three-dimensional magnetic structure coupling
The winding of matched moulds type is divided into ten subregions；
First simulation unit 302, for carrying out short circuit in winding STATIC SIMULATION operation to Three-Dimensional Magnetic structure Coupling model, obtain
Winding is carried out by force density that high pressure winding and the subregion winding stress knot of low pressure winding is calculated by force density, according to winding
Fruit；
Second modeling unit 303, for being carried out according to subregion stress result to the subregion winding of high pressure winding, low pressure winding
Coil models, the transformer model after being refined；
Second simulation unit 304, for the middle pressure winding of the transformer model after refinement to be opened a way, and low pressure winding is short
Road, applies preset first three short circuit current to high pressure winding, applies preset second three short circuit current to low pressure winding, passes through
Simulation calculation obtains A phase high pressures winding, A phases low pressure winding, B phase high pressures winding, B phases low pressure winding, C phase high pressure windings and C phases
The coil transient state stress waveform of low pressure winding.
First modeling unit 301 is additionally operable to build the Three-Dimensional Magnetic structure Coupling model of three-phase transformer, by three-dimensional magnetic structure
The winding of coupling model is divided into ten subregions, wherein, the winding of transformer is arranged to drum type brake winding, the iron core of transformer
Solid cylinder is arranged to, the iron yoke of transformer is arranged to solid rectangles.
First simulation unit 302 is additionally operable to, by the middle pressure winding open circuit of Three-Dimensional Magnetic structure Coupling model, apply high pressure winding
Add the exciting current that maximum is 1500A, apply the exciting current that maximum is 17323.53A to low pressure winding, obtain winding
By force density, the radial pressure and axial compressive force that each subregion winding is subject to be calculated by force density according to winding.
The radial pressure and axial compressive force that second modeling unit 303 is additionally operable to be subject to according to each subregion winding are to high voltage winding
Tenth subregion of group establishes a circle coil, and a circle line is established respectively to the tenth subregion of low pressure winding and the 7th subregion
Circle, the transformer model after being refined.
It is apparent to those skilled in the art that for convenience and simplicity of description, the system of foregoing description,
The specific work process of device and unit, the corresponding process in preceding method embodiment is may be referred to, will not be repeated here.
In several embodiments provided herein, it should be understood that disclosed system, apparatus and method can be with
Realize by another way.For example, device embodiment described above is only schematical, for example, the unit
Division, only a kind of division of logic function, can there is other dividing mode, such as multiple units or component when actually realizing
Another system can be combined or be desirably integrated into, or some features can be ignored, or do not perform.It is another, it is shown or
The mutual coupling discussed or direct-coupling or communication connection can be the indirect couplings by some interfaces, device or unit
Close or communicate to connect, can be electrical, mechanical or other forms.
The unit illustrated as separating component can be or may not be physically separate, show as unit
The part shown can be or may not be physical location, you can with positioned at a place, or can also be distributed to multiple
On NE.Some or all of unit therein can be selected to realize the mesh of this embodiment scheme according to the actual needs
's.
In addition, each functional unit in each embodiment of the present invention can be integrated in a processing unit, can also
That unit is individually physically present, can also two or more units it is integrated in a unit.Above-mentioned integrated list
Member can both be realized in the form of hardware, can also be realized in the form of SFU software functional unit.
If the integrated unit is realized in the form of SFU software functional unit and is used as independent production marketing or use
When, it can be stored in a computer read/write memory medium.Based on such understanding, technical scheme is substantially
The part to be contributed in other words to prior art or all or part of the technical scheme can be in the form of software products
Embody, the computer software product is stored in a storage medium, including some instructions are causing a computer
Equipment (can be personal computer, server, or network equipment etc.) performs the complete of each embodiment methods described of the present invention
Portion or part steps.And foregoing storage medium includes：USB flash disk, mobile hard disk, read-only storage (ROM, Read-Only
Memory), random access memory (RAM, Random Access Memory), magnetic disc or CD etc. are various can store journey
The medium of sequence code.
Described above, the above embodiments are merely illustrative of the technical solutions of the present invention, rather than its limitations；Although with reference to before
Embodiment is stated the present invention is described in detail, it will be understood by those within the art that：It still can be to preceding
State the technical scheme described in each embodiment to modify, or equivalent substitution is carried out to which part technical characteristic；And these
Modification is replaced, and the essence of appropriate technical solution is departed from the spirit and scope of various embodiments of the present invention technical scheme.
Claims (8)
- A kind of 1. Winding in Power Transformer short circuit transient state force analysis method, it is characterised in that including：S1：The Three-Dimensional Magnetic structure Coupling model of three-phase transformer is built, the winding of Three-Dimensional Magnetic structure Coupling model is divided into Ten subregions；S2：Short circuit in winding STATIC SIMULATION operation is carried out to Three-Dimensional Magnetic structure Coupling model, winding is obtained by force density, according to winding By force density be calculated the subregion winding stress result of high pressure winding and low pressure winding；S3：Coil modeling is carried out to the subregion winding of high pressure winding, low pressure winding according to subregion stress result, after being refined Transformer model；S4：The middle pressure winding of transformer model after refinement is opened a way, and low pressure winding is short-circuit, high pressure winding is applied preset First three short circuit current, preset second three short circuit current is applied to low pressure winding, A phase high voltage windings are obtained by simulation calculation Group, A phases low pressure winding, B phase high pressures winding, B phases low pressure winding, the coil transient state stress of C phase high pressure windings and C phase low pressure windings Waveform.
- 2. Winding in Power Transformer short circuit transient state force analysis method according to claim 1, it is characterised in that step S1 is specific Including：The Three-Dimensional Magnetic structure Coupling model of three-phase transformer is built, the winding of Three-Dimensional Magnetic structure Coupling model is divided into ten Subregion, wherein, the winding of transformer is arranged to drum type brake winding, and the iron core of transformer is arranged to solid cylinder, transformer Iron yoke is arranged to solid rectangles.
- 3. Winding in Power Transformer short circuit transient state force analysis method according to claim 1, it is characterised in that step S2 is specific Including：The middle pressure winding of Three-Dimensional Magnetic structure Coupling model is opened a way, applies the exciting current that maximum is 1500A to high pressure winding, Apply the exciting current that maximum is 17323.53A to low pressure winding, obtain winding by force density, entered according to winding by force density Radial pressure and axial compressive force that each subregion winding is subject to is calculated in row.
- 4. Winding in Power Transformer short circuit transient state force analysis method according to claim 3, it is characterised in that step S3 is specific Including：The radial pressure and axial compressive force being subject to according to each subregion winding establish a circle to the tenth subregion of high pressure winding Coil, a circle coil is established respectively to the tenth subregion of low pressure winding and the 7th subregion, the transformer mould after being refined Type.
- A kind of 5. Winding in Power Transformer short circuit transient state force analysis device, it is characterised in that including：First modeling unit, for building the Three-Dimensional Magnetic structure Coupling model of three-phase transformer, by Three-Dimensional Magnetic structure Coupling model Winding be divided into ten subregions；First simulation unit, for Three-Dimensional Magnetic structure Coupling model carry out short circuit in winding STATIC SIMULATION operation, obtain winding by Force density, by force density be calculated the subregion winding stress result of high pressure winding and low pressure winding according to winding；Second modeling unit, built for carrying out coil to the subregion winding of high pressure winding, low pressure winding according to subregion stress result Mould, the transformer model after being refined；Second simulation unit, for the middle pressure winding of the transformer model after refinement to be opened a way, and low pressure winding is short-circuit, to height Press winding to apply preset first three short circuit current, preset second three short circuit current is applied to low pressure winding, counted by emulating Calculation obtain A phase high pressures winding, A phases low pressure winding, B phase high pressures winding, B phases low pressure winding, C phase high pressure windings and C phases low pressure around The coil transient state stress waveform of group.
- 6. Winding in Power Transformer short circuit transient state force analysis device according to claim 5, it is characterised in that the first modeling is single Member is additionally operable to build the Three-Dimensional Magnetic structure Coupling model of three-phase transformer, and the winding of Three-Dimensional Magnetic structure Coupling model is divided into Ten subregions, wherein, the winding of transformer is arranged to drum type brake winding, and the iron core of transformer is arranged to solid cylinder, transformation The iron yoke of device is arranged to solid rectangles.
- 7. Winding in Power Transformer short circuit transient state force analysis device according to claim 5, it is characterised in that the first emulation is single Member is additionally operable to, by the middle pressure winding open circuit of Three-Dimensional Magnetic structure Coupling model, apply high pressure winding the excitation that maximum is 1500A Electric current, apply the exciting current that maximum is 17323.53A to low pressure winding, winding is obtained by force density, according to winding stress Density carries out that radial pressure and axial compressive force that each subregion winding is subject to is calculated.
- 8. Winding in Power Transformer short circuit transient state force analysis device according to claim 7, it is characterised in that the second modeling is single The radial pressure and axial compressive force that member is additionally operable to be subject to according to each subregion winding establish one to the tenth subregion of high pressure winding One circle coil, a circle coil is established respectively to the tenth subregion of low pressure winding and the 7th subregion, the transformation after being refined Device model.
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| CN109241586A (en) * | 2018-08-14 | 2019-01-18 | 宁德师范学院 | A kind of simulating analysis and system of transformer static field and vortex field |
| CN110186785A (en) * | 2019-06-26 | 2019-08-30 | 哈尔滨理工大学 | Winding insulation turn-to-turn force simulation method and device when a kind of transformer short-circuit |
| CN110988525A (en) * | 2019-11-19 | 2020-04-10 | 国网河北省电力有限公司电力科学研究院 | Evaluation method for impact of repeated short circuit on power transformer in short time |
| CN112989600A (en) * | 2021-03-11 | 2021-06-18 | 云南电网有限责任公司电力科学研究院 | Model for rapidly calculating short-circuit resistance of transformer and establishment method thereof |
| CN113300489A (en) * | 2021-06-02 | 2021-08-24 | 哈尔滨工业大学 | Rotary wireless electric energy transmission device and system based on three-phase semi-cylinder curved surface coil |
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| CN110186785A (en) * | 2019-06-26 | 2019-08-30 | 哈尔滨理工大学 | Winding insulation turn-to-turn force simulation method and device when a kind of transformer short-circuit |
| CN110186785B (en) * | 2019-06-26 | 2022-10-25 | 哈尔滨理工大学 | Method and device for simulating turn-to-turn stress of winding insulation during short circuit of transformer |
| CN110988525B (en) * | 2019-11-19 | 2022-06-10 | 国网河北省电力有限公司电力科学研究院 | Method for evaluating impact of repeated short circuit on power transformer in short time |
| CN110988525A (en) * | 2019-11-19 | 2020-04-10 | 国网河北省电力有限公司电力科学研究院 | Evaluation method for impact of repeated short circuit on power transformer in short time |
| CN112989600A (en) * | 2021-03-11 | 2021-06-18 | 云南电网有限责任公司电力科学研究院 | Model for rapidly calculating short-circuit resistance of transformer and establishment method thereof |
| CN113300489A (en) * | 2021-06-02 | 2021-08-24 | 哈尔滨工业大学 | Rotary wireless electric energy transmission device and system based on three-phase semi-cylinder curved surface coil |
| CN113300489B (en) * | 2021-06-02 | 2022-11-11 | 哈尔滨工业大学 | Rotary wireless electric energy transmission device and system based on three-phase semi-cylinder curved surface coil |
| CN116736190A (en) * | 2023-08-15 | 2023-09-12 | 国网安徽省电力有限公司电力科学研究院 | Multi-dimensional diagnosis system of simulation platform for large-current impact deformation process of transformer winding |
| CN116911217A (en) * | 2023-09-12 | 2023-10-20 | 合肥工业大学 | Short-circuit stress calculation method for transposition structure of transformer winding |
| CN116911217B (en) * | 2023-09-12 | 2023-11-28 | 合肥工业大学 | Short-circuit stress calculation method for transposition structure of transformer winding |
| CN117828244A (en) * | 2024-03-06 | 2024-04-05 | 华中科技大学 | Linear induction motor chain type equivalent circuit and characteristic analysis method |
| CN117828244B (en) * | 2024-03-06 | 2024-05-14 | 华中科技大学 | Linear induction motor chain type equivalent circuit and characteristic analysis method |
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