CN117034386A - Rectangular transformer and reactor coil calculation method based on parameterized design - Google Patents
Rectangular transformer and reactor coil calculation method based on parameterized design Download PDFInfo
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Abstract
The invention discloses a rectangular transformer and reactor coil calculation method based on parameterized design, which comprises the following steps of S1, inputting relevant parameters of a coil; s2, dividing the coil into a rectangular area and four corner areas, setting a combination of circular arcs and straight lines as wires in the corner areas, connecting the circular arcs through common tangent lines, and setting the arrangement mode of the air passages as equal-altitude air passages and unequal-altitude air passages; s3, setting a plurality of circular arcs which are related to the arrangement of the air passages and exist in each layer of wires, wherein the circle center of each circular arc is a theoretical special point, and screening the theoretical special points according to requirements to obtain actual special points; s4, obtaining actual circular arcs according to the actual special points, and connecting common tangents among the actual circular arcs to obtain the correct actual wire positions; s5, repeating the steps S3 and S4, and sequentially determining all wire positions in each corner area; s6, obtaining parameters such as the length and the sectional area of the coil according to the positions of all the wires and related parameters. The method has the advantages of strong universality, high efficiency and accurate calculation result.
Description
Technical Field
The invention relates to the technical field of motors, in particular to a rectangular transformer and reactor coil calculation method based on parameterized design.
Background
Rectangular transformers and reactors have the advantages of small size, easiness in manufacturing, impact resistance and the like, and are widely applied to the fields of traffic, energy sources and the like. Leakage inductance and temperature rise are important performance parameters of transformers and reactors, and the design accuracy is directly influenced by the length of coil windings and the sectional area of coils. In extreme cases, a calculation error of 1% of the coil can cause design deviation of more than 10% of leakage inductance and temperature rise, so that it is necessary to accurately obtain the length and the sectional area of the coil.
The coils of the rectangular transformer and the reactor are wound on a rectangular skeleton or a rectangular iron core which is approximately rectangular outside the rectangular iron core, and angle stays 5 are arranged outside the iron core, and the skeleton is rounded to avoid right-angle abrasion and lead insulation; air passages can be arranged between the layers by arranging air passage stay 6, so that leakage inductance and heat dissipation capability of the product are enhanced. But at the same time, the coil shape is not uniform. For example, the same airway height, may result in different profile shapes due to different placement sequences; the same arrangement sequence will result in different profile profiles due to different airway height distributions. Fig. 1 shows a schematic diagram of the difference in coil profile caused by different airway arrangements with the same airway height.
In the prior art, the following two methods are mostly adopted to calculate the length and the sectional area of the coil: 1) Ignoring the differences of different arrangements on the appearance, performing rough calculation in software, and accurately calculating related parameters by manually drawing after determining a scheme. The method has lower efficiency, can disturb the working rhythm of the designer to a great extent, and also has the risk that the accounting cannot reach the standard, and the software is returned to carry out design again and drawing the accounting again. 2) The staff carries out conditional simplification according to the work experience to the coil, classifies the coil structure into a plurality of common cases, unifies the air flue arrangement, reduces special circumstances and carries out relevant parameter calculation to each condition respectively. The design deviation of the method is uncontrollable, the more the number of layers is, the greater the probability of error occurrence is, so that secondary development failure of two-dimensional and three-dimensional software is caused, and a designer needs to manually draw a picture to carry out accounting.
In a word, the existing method has the defects of low efficiency, low universality, easiness in large deviation and the like in the aspect of coil accurate calculation.
Disclosure of Invention
The invention aims to solve the technical problem of overcoming the defects of the prior art and providing a rectangular transformer and reactor coil calculation method based on parameterized design, which has strong universality and high efficiency and accurate calculation result.
In order to solve the technical problems, the invention adopts the following technical scheme:
a calculation method of rectangular transformer and reactor coil based on parameterized design comprises the following steps:
s1, inputting relevant parameters of a coil;
s2, dividing the coil into four corner areas between rectangular areas, setting a combination of circular arcs and straight lines as wires in the corner areas, connecting the circular arcs through common tangent lines, and setting the arrangement mode of air passages as equal-altitude air passages and non-equal-altitude air passages;
s3, setting a plurality of arcs which are related to the arrangement of the air passages and exist in each layer of wire, wherein the circle center of each arc is set as a theoretical special point, and screening the theoretical special points according to requirements to obtain actual special points so as to determine the correct number and positions of the arcs in the wire;
s4, obtaining actual circular arcs according to the actual special points, and connecting common tangents among the actual circular arcs to obtain the correct actual wire positions;
s5, repeating the steps S3 and S4, and sequentially determining all wire positions in each corner area;
s6, obtaining parameters such as the length and the sectional area of the coil according to the positions of all the wires and related parameters.
As a further improvement of the above technical scheme:
the coil related parameters in step S1 include a coil thickness: the radial dimension of the individual wires; number of stacks: the number of the single-turn wires in the radial direction; insulation thickness of wire: the thickness of the insulating material is wrapped outside the wire; interlayer insulation thickness: the thickness of the insulating material between the two layers of wires; airway height: the radial dimension of the individual airways; coil elevation: under the condition that the sections are the same, the lifting height of the layer of wires relative to the upper layer of wires is increased; an airway layout; total number of layers of wire.
The contour air passages in the step S2 are front and back=left and right air passages, including contour annular air passages and no air passages.
The non-equal-height air passages in the step S2 are air passages with front and back not equal to left and right, and comprise special-shaped annular air passages and front and back air passages only.
The specific steps of the step S3 are as follows:
step S301: determining the number of theoretical special points of the layer of wires: if the layer is the innermost layer (the first layer), the number of the theoretical special points is 1, if the layer is not the innermost layer and the airway of the layer is equal to the number of the actual special points of the upper layer of wires, namely, all the actual special points of the upper layer are inherited as the theoretical special points of the layer in sequence, if the layer is not the innermost layer and the airway of the layer is the airway of non-equal height, the number of the theoretical special points of the layer is the number of the actual special points +1 of the upper layer of wires, one newly added is added at the starting point position, and all the actual special points of the upper layer are inherited as the theoretical special points of the layer in sequence;
step S302: determining the arc radius of the wire: the radius is the distance from the theoretical special point to the innermost side of the layer of wire, and the arc radius of the theoretical special point is the distance from the theoretical special point to the outermost side of the previous layer of wire+the lifting height;
step S303: obtaining a theoretical circular arc taking a theoretical special point as a circle center and taking the distance from the circle center to the innermost side of the layer of wires as a radius;
step S304: if the airway of the layer is a contour airway, no screening of theoretical special points is needed, all theoretical special points are actual special points of the layer, the arc radius of an actual arc changes according to the lifting height, if the airway of the layer is a non-contour airway, the slope of a common tangent line of a theoretical arc corresponding to the theoretical special point newly added at the starting point position and the theoretical arc corresponding to all theoretical special points of the succeeding upper layer is needed to be compared, so that whether all the theoretical special points of the succeeding upper layer need actual inheritance is judged;
step S305: if the judgment result is that the theoretical special point needs actual inheritance, inheriting according to the sequence; if the judging result is that the actual special point does not need to be inherited, discarding the theoretical special point, thereby obtaining the actual special point of the layer.
The judging method for judging whether the theoretical special point of the previous layer needs to be inherited in the step S304 is as follows: and (3) sequentially making common tangents for the newly added theoretical circular arcs and all inherited theoretical circular arcs in the non-equal-altitude air passage, comparing the slopes among the common tangents, and discarding the theoretical special points in the sequence before if the slope of the common tangents of the inherited theoretical circular arcs in the sequence after the common tangents is smaller than that of the common tangents of the inherited theoretical circular arcs in the sequence before the common tangents.
The calculation method of the rectangular transformer and the reactor coil based on the parameterized design further comprises the step S7 of drawing a second-dimensional graph and a third-dimensional graph of the coil through accurate circle center and radius parameters.
Compared with the prior art, the invention has the beneficial effects that:
the calculation method of the rectangular transformer and the reactor coil based on the parameterized design simulates the coil winding process, does not need to rely on manual accounting or manual experience to calculate, can be suitable for coils comprising various air passages, has strong universality, improves the calculation precision of relevant parameters such as the length, the sectional area and the like of the coils, is beneficial to realizing accurate drawing of two-dimensional and three-dimensional software, improves the parameter design precision of the transformer and the reactor in the aspects of winding loss, short-circuit impedance and the like which are strongly related to the length and the area, and can reduce the comparison times of newly added theoretical special points and inherited theoretical special points by screening theoretical special points, thereby accelerating the calculation speed.
Drawings
Fig. 1 is a schematic diagram of coil appearance differences caused by the same air passage height and different air passage arrangements in a rectangular transformer and reactor coil calculation method based on parameterization design.
FIG. 2 is a flow chart of the present invention.
FIG. 3 is a schematic view of the structure of the corner and rectangular division of the present invention.
Fig. 4 is a schematic structural diagram of an airway in the present invention.
Fig. 5 is a schematic diagram of special points of a shaped annular airway.
The reference numerals in the drawings denote: a. corner regions; b. a rectangular region; 1. a contour annular airway; 2. no air passage exists; 3. a special-shaped annular air passage; 4. only the anterior and posterior airways; 5. angle braces; 6. airway struts.
Detailed Description
The invention is described in further detail below with reference to the drawings and specific examples of the specification.
As shown in fig. 1 to 5, the rectangular transformer and reactor coil calculation method based on parameterized design in this embodiment includes the steps of:
s1, inputting relevant parameters of a coil;
in particular, in step S1, the coil-related parameters include a coil thickness: the radial dimension of the individual wires; number of stacks: the number of the single-turn wires in the radial direction; insulation thickness of wire: the thickness of the insulating material is wrapped outside the wire; interlayer insulation thickness: the thickness of the insulating material between the two layers of wires; airway height: the radial dimension of the individual airways; coil elevation: under the same position of the section, the lifting height of the layer of wires relative to the upper layer of wires.
S2, dividing the coil into four corner areas between rectangular areas, setting a combination of circular arcs and straight lines as wires in the corner areas, connecting the circular arcs through common tangent lines, and setting the arrangement mode of air passages as equal-altitude air passages and non-equal-altitude air passages;
as shown in fig. 2 and 3, the X direction is the left-right direction, the Y direction is the front-rear direction, a is the corner region, and b is the rectangular region.
In specific application, the contour air passages in step S2 are front and back=left and right air passages, including contour annular air passage 1 and no air passage 2.
The non-equal-altitude air passage is an air passage with the front and back not equal to left and right, and comprises a special-shaped annular air passage 3 and a front and back air passage 4 only.
In the process of winding the rectangular transformer and the reactor coil on site, as shown in fig. 4, the innermost layer of wires are wound on the gusset bar 5 or the skeleton, the airway stay 6 or the airway is not arranged between other wires of the outer layer, the starting points of the wires of each layer in the corner area are all on the same straight line, and the tail points of the wires of each layer are all on the same straight line and are perpendicular to the straight line of the starting points.
S3, setting a plurality of circular arcs which are related to the arrangement of the air passages and exist in each layer of wires, wherein the circle center of each circular arc is set as a theoretical special point, and screening the theoretical special points according to requirements to obtain actual special points;
in specific application, the specific steps of step S3 are as follows:
step S301: determining the number of theoretical special points of the layer of wires: if the layer is the innermost layer (the first layer), the number of the theoretical special points is 1, if the layer is not the innermost layer and the airway of the layer is equal to the number of the actual special points of the upper layer of wires, namely, all the actual special points of the upper layer are inherited as the theoretical special points of the layer in sequence, if the layer is not the innermost layer and the airway of the layer is the airway of non-equal height, the number of the theoretical special points of the layer is the number of the actual special points +1 of the upper layer of wires, one newly added is added at the starting point position, and all the actual special points of the upper layer are inherited as the theoretical special points of the layer in sequence;
step S302: determining the arc radius of the wire: the radius is the distance from the theoretical special point to the innermost side of the layer of wire, and the arc radius of the theoretical special point is the distance from the theoretical special point to the outermost side of the previous layer of wire+the lifting height;
step S303: obtaining a theoretical circular arc taking a theoretical special point as a circle center and taking the distance from the circle center to the innermost side of the layer of wires as a radius;
step S304: if the airway of the layer is a contour airway, no screening of theoretical special points is needed, all theoretical special points are actual special points of the layer, the arc radius of an actual arc changes according to the lifting height, if the airway of the layer is a non-contour airway, the slope of a common tangent line of a theoretical arc corresponding to the theoretical special point newly added at the starting point position and the theoretical arc corresponding to all theoretical special points of the succeeding upper layer is needed to be compared, so that whether all the theoretical special points of the succeeding upper layer need actual inheritance is judged;
step S305: if the judgment result is that the theoretical special point needs actual inheritance, inheriting according to the sequence; if the judging result is that the actual special point does not need to be inherited, discarding the theoretical special point, thereby obtaining the actual special point of the layer.
As shown in fig. 5, the application of the special-shaped annular air channel 3 to steps S2 to S4 is illustrated, firstly, if the special-shaped annular air channel 3 is a non-equal-altitude air channel, a theoretical special point 11 needs to be newly added at the beginning, the actual special points of the upper layer of wires are assumed to be 2, the theoretical special points 12 and the theoretical special points 13 are inherited in sequence, the theoretical special points 11, 12 and 13 are used as the centers of circles, the distances from each theoretical special point to the innermost side of the layer of wires are used as the radius, theoretical circular arcs 21, 22 and 23 are obtained, a common tangent cd needs to be made for the newly added theoretical circular arc 21 and the inherited theoretical circular arc 22, a common tangent ef needs to be made for the newly added theoretical circular arc 21 and the inherited theoretical circular arc 23, the slope of ef is known by comparing cd and ef, the inherited special points 13 are sequentially inherited before the theoretical special points 12 are inherited, and the actual special points 11 and 13 of the layer of wires can be obtained, namely the correct positions of the wires are obtained through the common tangent connection. If the slope of the common tangent line between the newly added theoretical arc and the theoretical arc with the inheritance sequence before is smaller, the theoretical arc with the inheritance sequence after is inherited, and in addition, the number of inherited theoretical special points may be more than 3, 4, 5, etc., the newly added arc and each inherited arc need to be compared one by one to obtain the actual special points.
S4, obtaining actual circular arcs according to the actual special points, and connecting common tangents among the actual circular arcs to obtain the correct actual wire positions;
s5, repeating the steps S2 and S4, and sequentially determining all wire positions in each corner area;
s6, obtaining parameters such as the length and the sectional area of the coil according to the positions of all the wires and related parameters.
Preferably, the method also comprises a step S7 of drawing a second and three-dimensional graph of the coil through accurate circle center and radius parameters. The accurate drawing of the coil is realized through two-dimensional and three-dimensional software, and the loss of data caused by failure of simulation software due to special conditions is avoided.
The calculation method of the rectangular transformer and the reactor coil based on parameterized design simulates the coil winding process, does not need to rely on manual accounting or relying on manual experience to calculate, can be suitable for coils comprising various air passages, has strong universality, improves the calculation precision of relevant parameters such as the length, the sectional area and the like of the coils, is beneficial to realizing accurate drawing of two-dimensional and three-dimensional software, improves the parameter design precision of the transformer and the reactor in the aspects of winding loss, short circuit impedance and the like which are strongly related to the length and the area, and can reduce the comparison times of newly added theoretical special points and inherited theoretical special points and accelerate the calculation speed by screening theoretical special points.
While the invention has been described with reference to preferred embodiments, it is not intended to be limiting. Many possible variations and modifications of the disclosed technology can be made by anyone skilled in the art, or equivalent embodiments with equivalent variations can be made, without departing from the scope of the invention. Therefore, any simple modification, equivalent variation and modification of the above embodiments according to the technical substance of the present invention shall fall within the scope of the technical solution of the present invention.
Claims (7)
1. A calculation method of rectangular transformer and reactor coil based on parameterized design is characterized in that: the method comprises the following steps:
s1, inputting relevant parameters of a coil;
s2, dividing the coil into four corner areas between rectangular areas, setting a combination of circular arcs and straight lines as wires in the corner areas, connecting the circular arcs through common tangent lines, and setting the arrangement mode of air passages as equal-altitude air passages and non-equal-altitude air passages;
s3, setting a plurality of arcs which are related to the arrangement of the air passages and exist in each layer of wire, wherein the circle center of each arc is set as a theoretical special point, and screening the theoretical special points according to requirements to obtain actual special points so as to determine the correct number and positions of the arcs in the wire;
s4, obtaining actual circular arcs according to the actual special points, and connecting common tangents among the actual circular arcs to obtain the correct actual wire positions;
s5, repeating the steps S3 and S4, and sequentially determining all wire positions in each corner area;
s6, obtaining parameters such as the length and the sectional area of the coil according to the positions of all the wires and related parameters.
2. The parameterized design-based rectangular transformer and reactor coil calculation method of claim 1, wherein: the coil related parameters in step S1 include a coil thickness: the radial dimension of the individual wires; number of stacks: the number of the single-turn wires in the radial direction; insulation thickness of wire: the thickness of the insulating material is wrapped outside the wire; interlayer insulation thickness: the thickness of the insulating material between the two layers of wires; airway height: the radial dimension of the individual airways; coil elevation: under the condition that the sections are the same, the lifting height of the layer of wires relative to the upper layer of wires is increased; an airway layout; total number of layers of wire.
3. The parameterized design-based rectangular transformer and reactor coil calculation method of claim 1, wherein: the equal-altitude air passage in the step S2 is a front-back=left-right air passage, and comprises an equal-altitude annular air passage (1) and an air passage (2).
4. A parameterized design-based rectangular transformer, reactor coil calculation method according to claim 3, characterized by: the non-equal-height air passages in the step S2 are air passages with front and back not equal to left and right, and comprise a special-shaped annular air passage (3) and only front and back air passages (4).
5. The parameterized design-based rectangular transformer and reactor coil calculation method of claim 1, wherein: the specific steps of the step S3 are as follows:
step S301: determining the number of theoretical special points of the layer of wires: if the layer is the innermost layer (the first layer), the number of the theoretical special points is 1, if the layer is not the innermost layer and the airway of the layer is equal to the number of the actual special points of the upper layer of wires, namely, all the actual special points of the upper layer are inherited as the theoretical special points of the layer in sequence, if the layer is not the innermost layer and the airway of the layer is the airway of non-equal height, the number of the theoretical special points of the layer is the number of the actual special points +1 of the upper layer of wires, one newly added is added at the starting point position, and all the actual special points of the upper layer are inherited as the theoretical special points of the layer in sequence;
step S302: determining the arc radius of the wire: the radius is the distance from the theoretical special point to the innermost side of the layer of wire, and the arc radius of the theoretical special point is the distance from the theoretical special point to the outermost side of the previous layer of wire+the lifting height;
step S303: obtaining a theoretical circular arc taking a theoretical special point as a circle center and taking the distance from the circle center to the innermost side of the layer of wires as a radius;
step S304: if the airway of the layer is a contour airway, no screening of theoretical special points is needed, all theoretical special points are actual special points of the layer, the arc radius of an actual arc changes according to the lifting height, if the airway of the layer is a non-contour airway, the slope of a common tangent line of a theoretical arc corresponding to the theoretical special point newly added at the starting point position and the theoretical arc corresponding to all theoretical special points of the succeeding upper layer is needed to be compared, so that whether all the theoretical special points of the succeeding upper layer need actual inheritance is judged;
step S305: if the judgment result is that the theoretical special point needs actual inheritance, inheriting according to the sequence; if the judging result is that the actual special point does not need to be inherited, discarding the theoretical special point, thereby obtaining the actual special point of the layer.
6. The parameterized design-based rectangular transformer and reactor coil calculation method of claim 5, wherein: the judging method for judging whether the theoretical special point of the previous layer needs to be inherited in the step S304 is as follows: and (3) sequentially making common tangents for the newly added theoretical circular arcs and all inherited theoretical circular arcs in the non-equal-altitude air passage, comparing the slopes among the common tangents, and discarding the theoretical special points in the sequence before if the slope of the common tangents of the inherited theoretical circular arcs in the sequence after the common tangents is smaller than that of the common tangents of the inherited theoretical circular arcs in the sequence before the common tangents.
7. The parameterized rectangular transformer, reactor coil calculation method of any one of claims 1-6, characterized by: and S7, drawing a second and a third-dimensional graph of the coil through accurate circle center and radius parameters.
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| CN108073759A (en) * | 2017-11-09 | 2018-05-25 | 保定天威集团特变电气有限公司 | The coil turn computational methods and system of a kind of transformer |
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| CN108073759A (en) * | 2017-11-09 | 2018-05-25 | 保定天威集团特变电气有限公司 | The coil turn computational methods and system of a kind of transformer |
| JP2021118195A (en) * | 2020-01-22 | 2021-08-10 | 三菱電機株式会社 | Coil measuring device, coil winding system, and manufacturing method of transformer |
| CN114077715A (en) * | 2020-08-21 | 2022-02-22 | 河海大学 | Electromagnetic parameter calculation method of circular lead solenoid coil based on equivalent transformation |
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