WO2010013501A1 - Cylindrical iron core, stationary induction apparatus and induction heat-generating roller device - Google Patents
Cylindrical iron core, stationary induction apparatus and induction heat-generating roller device Download PDFInfo
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- WO2010013501A1 WO2010013501A1 PCT/JP2009/051061 JP2009051061W WO2010013501A1 WO 2010013501 A1 WO2010013501 A1 WO 2010013501A1 JP 2009051061 W JP2009051061 W JP 2009051061W WO 2010013501 A1 WO2010013501 A1 WO 2010013501A1
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- magnetic steel
- iron core
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- steel sheet
- angle
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01F—MAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
- H01F27/00—Details of transformers or inductances, in general
- H01F27/24—Magnetic cores
- H01F27/245—Magnetic cores made from sheets, e.g. grain-oriented
- H01F27/2455—Magnetic cores made from sheets, e.g. grain-oriented using bent laminations
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01F—MAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
- H01F27/00—Details of transformers or inductances, in general
- H01F27/24—Magnetic cores
- H01F27/26—Fastening parts of the core together; Fastening or mounting the core on casing or support
- H01F27/263—Fastening parts of the core together
-
- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01F—MAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
- H01F3/00—Cores, Yokes, or armatures
- H01F3/10—Composite arrangements of magnetic circuits
- H01F3/14—Constrictions; Gaps, e.g. air-gaps
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02K—DYNAMO-ELECTRIC MACHINES
- H02K1/00—Details of the magnetic circuit
- H02K1/06—Details of the magnetic circuit characterised by the shape, form or construction
- H02K1/12—Stationary parts of the magnetic circuit
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- H—ELECTRICITY
- H05—ELECTRIC TECHNIQUES NOT OTHERWISE PROVIDED FOR
- H05B—ELECTRIC HEATING; ELECTRIC LIGHT SOURCES NOT OTHERWISE PROVIDED FOR; CIRCUIT ARRANGEMENTS FOR ELECTRIC LIGHT SOURCES, IN GENERAL
- H05B6/00—Heating by electric, magnetic or electromagnetic fields
- H05B6/02—Induction heating
- H05B6/10—Induction heating apparatus, other than furnaces, for specific applications
- H05B6/14—Tools, e.g. nozzles, rollers, calenders
Definitions
- the present invention relates to a circular iron core (cylindrical iron core) used for stationary induction equipment such as a transformer or a reactor and induction heating equipment such as an induction heating roller device.
- the loss of the iron core which is a magnetic path, is a cause of reduced efficiency and heat generation of the device, and its reduction is a major issue.
- the eddy current loss of the iron core due to the leakage magnetic flux occupies a large ratio, and the iron core generates heat due to the eddy current, thereby reducing the efficiency of the device.
- the magnitude of the eddy current increases in proportion to the square of the width or thickness of the magnetic steel sheet in which the magnetic flux enters vertically.
- the iron core may be formed into a columnar shape for reasons such as shortening the length of the coil conductor wound around the iron core.
- a laminated iron core (see Patent Document 1) configured by laminating flat magnetic steel plates having different width dimensions to form a columnar shape, laminating a flat magnetic steel plate, and winding this round
- a wound iron core (refer to Patent Document 2) configured in a columnar shape
- a radial iron core (refer to Patent Document 3) configured in a cylindrical shape by laminating flat magnetic steel plates radially.
- a magnetic gap may be provided between the iron cores in order to obtain a desired reactance by setting an appropriate magnetic flux density (see Patent Document 2).
- the leakage magnetic flux passes through the end face of the steel sheet, and the eddy current can be reduced and the heat generation amount of the iron core can be reduced, but the narrow magnetic core
- the work of arranging the steel plates radially along a certain circumference is extremely troublesome. Even if the inner ends of the magnetic steel plates are arranged closely, a gap is formed between the outer ends of the adjacent magnetic steel plates. Therefore, in order to improve the space factor of the iron core, it is necessary to work such as filling the gap by inserting another narrow magnetic steel plate in the gap.
- This cylindrical iron core has the problem that the effective cross-sectional area that becomes a magnetic path is small because the magnetic steel sheets with a narrow width are stacked. From the viewpoint of improving the space factor, the width dimension of the magnetic steel sheet is simply set. It is possible to enlarge it. However, if the width dimension is simply increased, the outer diameter becomes larger, so that there is a problem that the use is limited. In order to reduce the outer diameter, it is conceivable to provide the magnetic steel sheet so as to be inclined as much as possible with respect to the radial direction. However, in this case, the area of the planar portion exposed to the outside of the magnetic steel sheet increases. Therefore, there is a problem that the generation of eddy currents cannot be prevented. Japanese Utility Model Publication No. 62-30317 JP 2001-237124 A JP-A-5-109546 JP 2000-311777 A JP-A-9-232165 Registered Utility Model No. 2532986
- the present invention has been made to solve the above-described problems all at once, and suppresses deterioration of the magnetic properties of the iron core such as iron loss as much as possible by improving the space factor and reducing eddy currents. This is the main desired issue.
- the iron core for a stationary induction device has a plurality of cylindrical core elements formed by stacking a plurality of magnetic steel plates having a curved portion whose cross section in the width direction forms a curved shape, shifted in the width direction, and concentrically formed. It is characterized by being laminated.
- the cylindrical core element is curved with a constant curvature in the radial direction of the circular diameter, and a plurality of magnetic steel plates with a quarter width or less of the diameter with respect to the radial direction are stacked. It is desirable to be formed. If this is the case, the magnetic steel sheet has a width equal to or less than 1 ⁇ 4 of the diameter in the radial direction. Therefore, the cylindrical iron core elements are concentrically arranged in the radial direction sequentially, so that the cross-sectional area of the curved magnetic steel sheet is increased. You can easily make a large round iron core.
- the core block is formed by laminating a plurality of cylindrical core elements on concentric circles, and the space in the entire cross section of the circular core can be reduced to improve the space factor. And iron loss can be reduced.
- the iron core for static induction equipment according to the present invention is a concentric circle of a plurality of cylindrical core elements formed by stacking a plurality of magnetic steel plates having a curved portion whose cross section in the width direction forms a curved shape, shifted in the width direction. The effect is increased in a method of use having a configuration in which a plurality of core blocks formed by laminating in a shape and a magnetic gap provided between the core blocks are provided.
- the gap member can increase or decrease the magnetic resistance in the magnetic path to obtain a desired reactance, and when the magnetic resistance is increased, the magnetic flux amount of the leakage magnetic flux penetrating in the radial direction increases.
- the leakage magnetic flux equivalently passes along the width direction of the magnetic steel plate provided substantially radially, and eddy current can be reduced. Furthermore, simplification of manufacturing and reduction of manufacturing cost can be realized by the configuration in which the magnetic gap is formed between the iron core blocks formed by shifting and stacking the magnetic steel plates.
- the magnetic gap is formed by sandwiching a gap member made of a non-magnetic material between the iron core blocks. It is desirable that
- the length in the width direction of the externally exposed portion on the laminated side surface of the magnetic steel sheet constituting the cylindrical core element provided on the radially outermost side of the core block is It is desirable that the thickness of the magnetic steel plate be equal to or less than the plate thickness.
- the inner diameter ⁇ of the cylindrical core element provided on the outermost side in the radial direction of the core block A , the outer diameter ⁇ B , and the thickness t of the magnetic steel sheet are
- ⁇ is the inclination angle of the magnetic steel sheet with respect to the radial direction of the inner circle of the cylindrical iron core element
- ⁇ ′ is the central angle formed between the angle of the radially innermost end of the adjacent magnetic steel sheet and the circle center. Note that the unit of the trigonometric function is radians).
- the tilt angle ⁇ of the magnetic steel sheet when the center angle ⁇ ′ is equal to the center angle ⁇ 0 when the tilt angle of the magnetic steel sheet is zero is ⁇ X ,
- the present invention it is possible to suppress the deterioration of the magnetic properties of the iron core such as iron loss as much as possible by improving the space factor and reducing the eddy current.
- FIG. 1 is a perspective view showing an outline of the configuration of the stationary induction device core 1 according to the present embodiment
- FIG. 2 is a plan view of the stationary induction device core 1.
- a stationary induction device iron core 1 is a circular iron core used in, for example, a reactor or a transformer, and as shown in FIG. 1, a plurality of iron core blocks 2 and a magnetic gap provided between the iron core blocks 2. 3.
- the iron core block 2 is formed by laminating a plurality (three in this embodiment) of cylindrical iron core elements 2A, 2B, and 2C in a concentric radial direction.
- the cylindrical core elements 2A, 2B, 2C adjacent in the radial direction are provided in contact with each other. That is, the outer diameter of one adjacent cylindrical core element 2A, 2B, 2C and the inner diameter of the other adjacent cylindrical core element 2A, 2B, 2C are substantially the same.
- the core element provided on the inner diameter side is the first core element 2A
- the core element provided in the middle is the second core element 2B.
- the core element provided on the outer diameter side is the third core element 2C
- the outer diameter of the first core element 2A and the inner diameter of the second core element 2B are substantially the same.
- An insulating layer (not shown) is provided between the cylindrical core elements 2A, 2B, 2C.
- the cylindrical core elements 2 ⁇ / b> A, 2 ⁇ / b> B, and 2 ⁇ / b> C are formed in a cylindrical shape by stacking a plurality of magnetic steel plates 21 while being shifted in the width direction.
- the magnetic steel plate 21 has a long shape, and has a curved portion 211 having a curved cross section in the width direction as shown in FIG.
- the magnetic steel plate 21 is formed of, for example, a silicon steel plate having an insulating film on its surface, and its thickness is, for example, about 0.3 mm.
- the curved portion 211 may be curved with a constant curvature throughout, or may be curved while the curvature continuously changes.
- an involute shape using a part of an involute curve, a partial arc A shape or a partial ellipse shape is conceivable.
- the magnetic steel plates 21 are shifted in the width direction so that the convex portions formed by the curved portions 211 of the other magnetic steel plates 21 are fitted into the concave portions formed by the curved portions 211 of the magnetic steel plates 21. Then, a large number of magnetic steel plates 21 having the same shape are overlapped. At this time, the width direction end portions 21 a and 21 b of the magnetic steel plate 21 are in contact with the concave side surface or the convex side surface of the adjacent magnetic steel plate 21. In this way, cylindrical core elements 2A, 2B, 2C having a cylindrical shape are formed.
- the magnetic gap 3 is formed by sandwiching a gap member made of a non-magnetic material between the core blocks 2 so that the core blocks 2 are substantially coaxial.
- the gap member is made of a non-magnetic material such as aluminum, ceramic, or glass, and may have a flat plate shape or a column shape.
- the iron core block 2 has an annular shape substantially the same shape as in plan view.
- a columnar member or a cylindrical member (hereinafter referred to as a columnar member or the like) having a predetermined outer diameter is prepared.
- the first iron core elements 2A are formed by being sequentially stacked along. Then, the first iron core element 2A is subjected to strain relief annealing and then fixed and insulated with a varnish or an insulator. Next, the width direction inner diameter side end 21a of the magnetic steel plate 21 is brought into contact with the outer peripheral surface of the first iron core element 2A subjected to fixing and insulation treatment, and along the outer peripheral surface of the first iron core element 2A. Then, the second core element 2B is formed by sequentially overlapping.
- the first core element 2A, the cylindrical member, and the like are extracted from the second core element 2B, and the second core element 2B is strain-relieved and annealed.
- the second core element 2B is stacked along the outer peripheral surface of the first core element 2A.
- a two-layer iron core is formed by the first iron core element 2A and the second iron core element 2B.
- the core block 2 having an arbitrary number of layers can be formed by repeatedly performing the above process on the outer peripheral surface of the second core element 2B.
- the core 1 for stationary induction equipment is formed by stacking and fixing the core blocks 2 so as to be substantially coaxial with a gap member interposed between the core blocks 2 thus formed.
- the obtained iron core 1 for a static induction device has a structure in which the magnetic steel plates 21 constituting the same are radially arranged in an equivalent manner. Even if a coil is wound around the outer periphery of the iron core 1 for the static induction device, a short circuit current is obtained.
- the leakage magnetic flux passes through the magnetic steel plate 21 along the width direction like the radial iron core, and does not pass through the magnetic steel plate in the thickness direction. Thereby, generation
- the iron core 1 for stationary induction equipment of the present embodiment is a cylindrical core element (third core element) 2C provided on the outermost side in the radial direction of the core block 2.
- the magnetic steel plates 21 are laminated such that the width direction length s of the externally exposed portion 21x on the side surface of the magnetic steel plate 21 constituting the magnetic sheet 21 is equal to or less than the thickness t of the magnetic steel plate 21. That is, if the thickness t of the magnetic steel plate 21 is 0.3 mm, the length s in the width direction of the externally exposed portion 21x is set to 0.3 mm or less.
- the laminated side surface of the magnetic steel plate 21 is the convex side surface 21n of the curved portion 211 among the side surfaces 21m and 21n facing the adjacent magnetic steel plate 21. And in this lamination
- the width direction inner diameter side end portion 21a of the magnetic steel plate 21 has an inclination of the center line of the width direction inner diameter side end portion 21a with respect to the radial direction of the inner circle of the third core element 2C. So as to have an inclination angle ⁇ 21a . That is, the width direction inner diameter side end portion 21a of the magnetic steel plate 21 is provided so as to come into contact with the position of the plate thickness t or less from the width direction inner diameter side end portion 21a of the adjacent magnetic steel plate 21 toward the outer diameter direction. .
- the third core element 2C of the present embodiment has an inner diameter ⁇ A , an outer diameter ⁇ B of the third core element 2C, and a thickness t of the magnetic steel sheet 21.
- ⁇ is the inclination angle ⁇ 21a of the magnetic steel sheet 21 with respect to the radial direction of the inner circle of the third core element 2C
- ⁇ ′ is the angle and circle of the radially innermost end of the adjacent magnetic steel sheet 21
- the center angle ⁇ ′ is the center angle ⁇ 0 when the inclination angle ⁇ 21a of the magnetic steel sheet 21 is zero in the unit of trigonometric function in radians (rad).
- an inclined angle ⁇ ( ⁇ 21a) a theta X of the magnetic steel plates 21 when equal, if: the inclination angle alpha is theta X of the magnetic steel plates 21,
- the relational expression (Expression 2) and the relational expression (Expression 3) are such that the width direction length s of the externally exposed portion 21x and the thickness t of the magnetic steel plate 21 satisfy s ⁇ t.
- It shows a third core element 2C inner diameter [Phi a and outer diameter [Phi B relationship.
- the inner diameter [Phi A third core element 2C, the diameter of a circle inscribed in the width direction of the inner diameter side end portion 21a of the magnetic steel plates 21, and the outer diameter [Phi B of the third core element 2C The diameter of a circle circumscribing the end portion 21b in the width direction outer diameter side of each magnetic steel plate 21 (see FIG. 2).
- Widthwise inner diameter side end portion 21a of the magnetic steel plates 21 for simplicity, the tilt angle theta 21a of the center line of the third is perpendicular to the inner diameter [Phi A of the core element 2C (the width direction inner diameter side end portion 21a is zero ( ⁇ 21a 0)) is shown in FIG.
- the center line of the straight line and the magnetic steel plates 21 connecting the corners and circle center O of the widthwise inner diameter side end portion 21a of the magnetic steel plates 21 (which is regarded as a straight line.)
- Angle between the theta 0/2 (rad) Then, the following relational expression holds.
- N 0 2 ⁇ / ⁇ 0 (Formula 5) It becomes.
- This angle ⁇ X is an inclination angle ⁇ 21a of the magnetic steel plate 21 when ⁇ ′ is equal to the center angle ⁇ 0 , which is the angle formed between the radially innermost corner of the adjacent magnetic steel plate 21 and the circle center O.
- the third core element 2C satisfying s ⁇ t can be manufactured by selecting the inner diameter ⁇ A , the outer diameter ⁇ B , and the plate thickness t of the third core element 2C that satisfies the above relational expression. .
- the inclination angle ⁇ of the magnetic steel plates 21 is less than theta X, for example, the inner diameter [Phi A third core element 2C 550 (mm), the outer diameter ⁇ B 600 (mm) and the magnetic steel plates 21
- the plate thickness t is 0.3 (mm)
- the outer diameter ⁇ B ( 600) ⁇ 777.8 ⁇ 2 ⁇ 0.3 / (tan ⁇ 1 (0.3 / 550)).
- the third core element 2C having a width direction length s of the externally exposed portion 21x smaller than the plate thickness t can be obtained.
- the inclination angle ⁇ of the magnetic steel plates 21 is greater than the theta X, for example, the inner diameter [Phi A third core element 2C 550 (mm), 600 the outer diameter ⁇ B (mm), a plate of magnetic steel plates 21
- the thickness t is 0.3 (mm) and the virtual plate thickness t ′ obtained from the above (formula 1) is 0.35 (mm)
- the inclination angle ⁇ is larger conditions than theta X of the magnetic steel plates 21, the plate thickness t by using the magnetic steel plates 21 of 0.3 (mm), an inside diameter ⁇ A 550 (mm), outer diameter [Phi B 600 ( mm) of the third core element 2C, the third core element 2C having a width direction length s of the externally exposed portion 21x smaller than the plate thickness t can be obtained.
- L 2 becomes the following equation.
- the iron core block 2 is formed by laminating a plurality of cylindrical iron core elements 2A, 2B, and 2C on each other.
- the volume factor can be improved and iron loss can be reduced.
- the gap member 3 can increase or decrease the magnetic resistance in the magnetic path to obtain a desired reactance, and when the magnetic resistance is increased, the amount of leakage magnetic flux penetrating in the radial direction increases.
- the leakage magnetic flux is equivalently passed along the width direction of the magnetic steel plate 21 provided substantially radially, and eddy current can be reduced.
- the structure in which the gap member 3 is sandwiched between the iron core blocks 2 formed by shifting and stacking the magnetic steel plates 21 can simplify the manufacturing and reduce the manufacturing cost.
- the stacking direction of the cylindrical core elements is the same, but the stacking direction may be reversed between the cylindrical core elements.
- the core block is composed of three cylindrical core elements, but may be composed of two cylindrical core elements or four or more cylindrical core elements. That is, the stationary induction device iron core may be any one that includes two or more cylindrical core elements according to the application.
- the magnetic steel plate 21 although the magnetic steel plate 21 consisted only of the curved part 211, as shown in FIG. 11, it continues to the inner diameter side edge part in the width direction of the curved part 211 and the said curved part 211 concerned. It may be composed of the bent portion 212 formed in this manner. At this time, the bending angle ⁇ of the bending portion 212 with respect to the bending portion 211 may be, for example, 30 degrees, and the length should be as short as possible, for example, about 3 to 10 times the thickness of the magnetic steel plate 21 is desirable. Thus, if it has a bending part 212, not only can the operation
- electromagnetic induction devices such as static induction devices such as transformers and reactors, or induction heat generation devices such as induction heating roller devices
- induction heat generation devices such as induction heating roller devices
- the eddy current loss of the iron core due to the leakage magnetic flux occupies a large ratio, and the iron core generates heat due to this eddy current, and the efficiency of the equipment is lowered. Moreover, it becomes a factor which causes the efficiency fall and insulation fall of the induction coil currently wound by this. It is known that the magnitude of the eddy current increases in proportion to the square of the width or thickness of the magnetic steel sheet in which the magnetic flux enters vertically.
- Patent Document 5 Japanese Patent Laid-Open No. 9-232165
- this stacked iron core forms a plurality of types of steel plate blocks 200 having different width dimensions by laminating a plurality of magnetic steel plates, and the steel plate blocks 200 are stacked so as to have a substantially circular shape. It is formed by.
- each steel plate block 200 in order to reduce eddy current, the number of magnetic steel plates stacked in each steel plate block 200 is simply reduced, the number of types of steel plate blocks 200 having different width dimensions is increased, and the steel plate blocks 200 are positioned at both upper and lower ends. It is conceivable to reduce the externally exposed portion 200b formed on the end surface 200a of the steel plate block 200 and the outer surface of the iron core.
- the inner ends of the magnetic steel plates arranged in a radial manner are fixed to the outer periphery of the pipe by welding, and the magnetic steel plate is pressurized from the outer end of the magnetic steel plate while rotating the pipe.
- welding work, pipe rotation work, pressurization work, etc. are required. These operations are extremely difficult when manufacturing a large iron core (for example, an axial length of 7 m).
- Patent Document 4 Japanese Patent Laid-Open No. 2000-311777
- Patent Document 6 Registered Utility Model No. 2532986
- the present applicant has considered a cylindrical iron core formed by stacking in the width direction.
- the present invention was made for the first time by paying attention to the relationship between the thickness of the magnetic steel sheet and the width in the width direction of the externally exposed portion on the side surface of the magnetic steel sheet, and was made to solve the above problems all at once. Therefore, it is a main intended problem to suppress as much as possible the eddy current caused by the leakage magnetic flux generated in the magnetic steel sheet while reducing the manufacturing cost with a simple configuration.
- the cylindrical iron core according to the present invention is a cylindrical iron core formed by stacking a plurality of magnetic steel plates having a curved portion whose cross section in the width direction forms a curved shape, shifted in the width direction.
- the widthwise length of the externally exposed portion on the side surface of the lamination side is equal to or less than the thickness of the magnetic steel plate.
- the cylindrical iron core when the length of the externally exposed portion in the width direction is s and the thickness of the magnetic steel sheet is t, s ⁇ t is established, and the eddy current is Since the width of the generated portion is the same as the thickness of the magnetic steel plate, the maximum eddy current value can be made as small as possible. Therefore, by deviating and stacking the magnetic steel plates, it is possible to prevent a reduction in the magnetic properties of the cylindrical iron core such as iron loss caused by the generation of eddy currents while realizing a simple configuration and a reduction in manufacturing cost. It is possible to prevent a decrease in efficiency of the device and a heat generation such as a decrease in electrical characteristics and insulation characteristics of the induction coil.
- the width direction length s of the externally exposed portion is equal to or less than the thickness t of the magnetic steel sheet, the inner diameter ⁇ A , the outer diameter ⁇ B of the cylindrical iron core, and the magnetic steel sheet.
- the thickness t is
- ⁇ is an inclination angle with respect to the radial direction of the inner circle of the cylindrical iron core
- ⁇ ′ is a central angle formed between the angle of the radially innermost end of the adjacent magnetic steel sheet and the circle center.
- the unit of the trigonometric function is radians
- the ratio ( ⁇ A / ⁇ B ) of the inner diameter ⁇ A of the cylindrical iron core to the outer diameter ⁇ B of the cylindrical iron core for setting the widthwise length s of the external exposed portion to be equal to or less than the plate thickness t of the magnetic steel sheet is 0.71 or more.
- the induction heating roller device includes a magnetic flux generation mechanism configured by winding an induction coil around the outer peripheral surface of the cylindrical iron core;
- a hollow cylindrical heating roll body that houses the magnetic flux generation mechanism and is provided so as to be rotatable relative to the magnetic flux generation mechanism, and generates heat by an induced current generated by the magnetic flux of the magnetic flux generation mechanism,
- a non-magnetic material or a gap at a predetermined interval is interposed between the cylindrical iron core and the heat generating roll body.
- the non-magnetic material is a substance that does not exhibit magnetism, such as aluminum, and includes ceramics or glass.
- interval is a space
- the effective surface length of the heat generating roll body is increased by interposing a non-magnetic body or a gap at a predetermined interval between the cylindrical iron core and the heat generating roll body, thereby increasing the magnetic resistance and making the magnetic flux difficult to pass. Only the portion generates heat, and other portions (for example, a journal portion connected to the heat-generating roll body) are made difficult to generate heat.
- the magnetic flux amount of the leakage magnetic flux that is released from the outer peripheral surface of the cylindrical iron core in the radial direction to the outside Will increase.
- the cylindrical iron core of the present invention eddy current loss due to leakage magnetic flux, that is, iron loss is suppressed, and self-heating of the magnetic flux generation mechanism itself is prevented.
- the cylindrical iron core of the present invention for a stationary induction device.
- a leg iron core configured using a cylindrical iron core is provided, and a nonmagnetic material is provided on at least one of both axial ends of the cylindrical iron core.
- the magnetic resistance in the magnetic path can be increased, and a predetermined reactance can be obtained.
- increasing the magnetic resistance increases the amount of magnetic flux leaked from the outer peripheral surface of the leg core in the radial direction and released to the outside.
- the vortex Generation of current can be suppressed as much as possible.
- the maximum eddy current value due to the leakage magnetic flux generated in the magnetic steel sheet is suppressed as much as possible while reducing the manufacturing cost with a simple structure, and the magnetic core generated by the generation of the eddy current is suppressed.
- the deterioration of the characteristics, the electrical characteristics of the induction coil, and the insulation characteristics can be solved.
- the induction heating roller device 1 is used in, for example, a continuous heat treatment process of a sheet material or web material such as a resin film, paper, cloth, nonwoven fabric, or metal foil, or a heat drawing process of synthetic fibers. And a hollow cylindrical heating roller body 2 that is rotatably provided, and a magnetic flux generation mechanism 3 accommodated in the heating roller body 2.
- the journal 4 is attached to both ends of the heating roller body 2.
- the journal 4 is configured integrally with a hollow drive shaft 5, and the drive shaft 5 is rotatably supported on a base 7 via a bearing 6 such as a rolling bearing.
- the magnetic flux generation mechanism 3 includes a cylindrical iron core 31 having a cylindrical shape and an induction coil 32 wound around the outer peripheral surface of the cylindrical iron core 31.
- Support rods 8 are attached to both ends of the cylindrical iron core 31, respectively.
- Each of the support rods 8 is inserted into the drive shaft 5 and is rotatably supported with respect to the drive shaft 5 via a bearing 9 such as a rolling bearing.
- the magnetic flux generation mechanism 3 is supported in a suspended state inside the heat generating roller body 2.
- a lead wire 10 is connected to the induction coil 32, and an AC power source (not shown) for applying an AC voltage is connected to the lead wire 10.
- a gap or a non-magnetic material (not shown) with a predetermined interval is provided between the cylindrical iron core 31 and the heat generating roll body 2 or the journal 4.
- a gap G of a predetermined interval is provided between both ends of the cylindrical iron core 31 and the iron core side surface 4 a of the journal 4.
- the cylindrical iron core 31 of the present embodiment is formed in a cylindrical shape by stacking a plurality of magnetic steel plates 311 shifted in the width direction.
- the magnetic steel plate 311 has a long shape, and has a curved portion 3111 having a curved cross section in the width direction as shown in FIG.
- the magnetic steel plate 311 is formed of, for example, a silicon steel plate having an insulating film on its surface, and the thickness thereof is, for example, about 0.3 mm.
- the curved portion 3111 may be curved with a constant curvature throughout, or may be curved while the curvature continuously changes.
- an involute shape using a part of an involute curve, a partial arc A shape or a partial ellipse shape is conceivable.
- each magnetic steel plate 311 is shifted in the width direction so that the convex portion formed by the curved portion 3111 of another magnetic steel plate 311 is fitted into the concave portion formed by the curved portion 3111 of the magnetic steel plate 311. Then, a large number of magnetic steel plates 311 having the same shape are overlapped. At this time, the end portions 311a and 311b in the width direction of the magnetic steel plate 311 are in contact with the concave side surface 311m or the convex side surface 311n of the adjacent magnetic steel plate 311. In this way, the cylindrical iron core 31 having a cylindrical shape is formed.
- the cylindrical iron core 31 has a width-direction length s of the externally exposed portion 311 x on the side of the laminated side of the magnetic steel plate 311 that is equal to or less than the plate thickness t of the magnetic steel plate 311.
- Magnetic steel plates 311 are stacked. That is, if the thickness t of the magnetic steel plate 311 is 0.3 mm, the length s in the width direction of the externally exposed portion 311x is set to 0.3 mm or less.
- the laminated side surface of the magnetic steel plate 311 is the convex side surface 311n of the curved portion 3111 among the side surfaces 311m and 311n facing the adjacent magnetic steel plate 311. And in this lamination
- the width direction inner diameter side end 311a of the magnetic steel plate 311 has an inclination angle of the center line of the width direction inner diameter side end 311a with respect to the radial direction of the inner circle of the cylindrical iron core. It is provided so as to have ⁇ 311a . That is, the width direction inner diameter side end portion 311a of the magnetic steel plate 311 is provided so as to contact a position equal to or less than the plate thickness dimension in the outer diameter direction from the width direction inner diameter side end portion 311a of the adjacent magnetic steel plate 311. .
- the cylindrical iron core 31 of the present embodiment has an inner diameter ⁇ A , an outer diameter ⁇ B of the cylindrical iron core 31, and a thickness t of the magnetic steel plate 311.
- ⁇ is an inclination angle ⁇ 311 with respect to the radial direction of the inner circle of the cylindrical iron core 31, and ⁇ ′ is a central angle formed between the angle of the innermost end in the radial direction of the adjacent magnetic steel plate 311 and the center of the circle. (Note that the unit of trigonometric function is radian.)
- the relational expression (formula A) and the relational expression (formula B) are such that the width direction length s of the externally exposed portion 311x and the plate thickness t of the magnetic steel plate 311 satisfy s ⁇ t.
- It shows the inner diameter [Phi a and outer diameter [Phi B relationship of the cylindrical core 31.
- the inner diameter [Phi A cylindrical iron core 31 the diameter of a circle inscribed in the width direction of the inner diameter side end portion 311a of the magnetic steel plate 311, and the outer diameter [Phi B of the cylindrical iron core 31, the magnetic steel plate
- This is the diameter of a circle circumscribing the width direction outer diameter side end 311b of 3311 (see FIG. 13).
- the description of the above formula is the same as in the first embodiment, and will be omitted.
- the width dimension of the portion where the eddy current is maximum is equal to or less than the plate thickness t of the magnetic steel plate 311, and the maximum eddy current value is obtained.
- the magnetic resistance is increased to make it difficult for the magnetic flux to pass through, and only the effective surface length portion of the heat generating roll body 2 generates heat.
- the eddy current loss that is, iron loss is suppressed against the increased leakage magnetic flux, and the self-heating of the magnetic flux generating mechanism 3 itself is not caused. Can be prevented.
- the magnetic flux generating mechanism 3 is heated by heat transfer due to radiation and convection from the heat roller body 2, heat transfer to a portion other than the heat roller body 2 can be reduced by a non-magnetic material or a gap at a predetermined interval. it can.
- the cylindrical iron core 31 can be used for a stationary induction device.
- the reactor Z includes one or more (two in FIG. 16) leg iron cores Z1, a coil Z2 wound around the outer circumference of the leg iron core Z1, and the plurality of leg iron cores Z1 at each end. And a yoke iron core Z3 that forms a closed magnetic path.
- Z5 is a fastening bolt for fastening the leg iron core Z1.
- each leg iron core Z1 is formed with one or a plurality of gaps.
- the leg iron core Z ⁇ b> 1 is formed of a plurality of cylindrical iron cores 31.
- each leg iron core Z1 a spacer member Z4 made of an insulator is sandwiched between the respective cylindrical iron cores 31, thereby forming one or more gaps in the leg iron core Z1.
- a spacer member Z4 is also disposed between the yoke iron core Z3 and the cylindrical iron core 31.
- a predetermined reactance can be obtained by adjusting the magnetic resistance by the gap. Further, when the magnetic resistance is increased, the leakage magnetic flux increases. However, since the length in the width direction of the externally exposed portion 311x of the magnetic steel plate 311 is equal to or less than the thickness t of the magnetic steel plate 311, the eddy current is increased. It can be suppressed as much as possible.
- the cylindrical iron core of the above embodiment for a stationary induction device connected to an electric circuit using a semiconductor element having a gate circuit.
- a semiconductor element having a gate circuit has an effect as an energization switch, but the flowing current is a current including a large amount of harmonic components whose sine wave shape is broken. Therefore, the magnetic flux flowing in the magnetic circuit of the static dielectric device also contains a large amount of harmonic components, and an eddy current loss proportional to the square of the frequency occurs in the cylindrical iron core. Also, eddy current loss due to leakage magnetic flux occurs. At this time, eddy current loss can be suppressed as much as possible by using the cylindrical iron core.
- cylindrical iron core of the above embodiment has a single layer in the radial direction, but may be of a multilayer structure in the radial direction, particularly when used for a reactor or a transformer.
- a gap having a predetermined interval is provided between the cylindrical iron core and the heat generating roll body or the journal, but a non-magnetic body may be provided instead of the gap.
- a non-magnetic body may be provided instead of the gap.
- the heat generating roll body 2 is rotatably supported by the drive shaft 12 inserted into the cylindrical iron core 31.
- the deterioration of the magnetic properties of the iron core such as iron loss can be suppressed as much as possible by improving the space factor and reducing the eddy current.
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Abstract
Description
具体的な実施の態様としては、前記円筒状鉄心要素が、円径の径方向に一定の曲率で湾曲し、前記径方向に対して直径の1/4幅以下とした複数の磁性鋼板を積み重ねて形成されていることが望ましい。これならば、磁性鋼板を径方向に対して直径の1/4幅以下としているので、円筒状鉄心要素を同心円状に径方向に順次積層して構成するので、湾曲した磁性鋼板による断面積の大きい円形鉄心を簡単に作ることができる。 That is, the iron core for a stationary induction device according to the present invention has a plurality of cylindrical core elements formed by stacking a plurality of magnetic steel plates having a curved portion whose cross section in the width direction forms a curved shape, shifted in the width direction, and concentrically formed. It is characterized by being laminated.
As a concrete embodiment, the cylindrical core element is curved with a constant curvature in the radial direction of the circular diameter, and a plurality of magnetic steel plates with a quarter width or less of the diameter with respect to the radial direction are stacked. It is desirable to be formed. If this is the case, the magnetic steel sheet has a width equal to or less than ¼ of the diameter in the radial direction. Therefore, the cylindrical iron core elements are concentrically arranged in the radial direction sequentially, so that the cross-sectional area of the curved magnetic steel sheet is increased. You can easily make a large round iron core.
また、本発明に係る静止誘導機器用鉄心は、幅方向断面が湾曲形状をなす湾曲部を有する複数の磁性鋼板を、幅方向にずらして積み重ねることにより形成された複数の円筒状鉄心要素を同心円状に積層して形成された複数の鉄心ブロックと、前記鉄心ブロック間に設けられた磁気ギャップと、を具備する構成とした利用方法においてその効果が大きくなる。これならば、ギャップ部材によって磁路中の磁気抵抗を増減させて所望のリアクタンスを得ることができる上に、磁気抵抗を大きくした場合に径方向に貫通する漏洩磁束の磁束量は増加するが、この漏洩磁束は等価的に略放射状に設けられた磁性鋼板の幅方向に沿って通過するようになり、渦電流を低減することができる。さらに、磁性鋼板をずらして積み重ねて形成された鉄心ブロック間に磁気ギャップを形成する構成により、製造の簡単化及び製造コストの削減を実現することができる。 Thus, according to the present invention, the core block is formed by laminating a plurality of cylindrical core elements on concentric circles, and the space in the entire cross section of the circular core can be reduced to improve the space factor. And iron loss can be reduced.
Further, the iron core for static induction equipment according to the present invention is a concentric circle of a plurality of cylindrical core elements formed by stacking a plurality of magnetic steel plates having a curved portion whose cross section in the width direction forms a curved shape, shifted in the width direction. The effect is increased in a method of use having a configuration in which a plurality of core blocks formed by laminating in a shape and a magnetic gap provided between the core blocks are provided. If this is the case, the gap member can increase or decrease the magnetic resistance in the magnetic path to obtain a desired reactance, and when the magnetic resistance is increased, the magnetic flux amount of the leakage magnetic flux penetrating in the radial direction increases. The leakage magnetic flux equivalently passes along the width direction of the magnetic steel plate provided substantially radially, and eddy current can be reduced. Furthermore, simplification of manufacturing and reduction of manufacturing cost can be realized by the configuration in which the magnetic gap is formed between the iron core blocks formed by shifting and stacking the magnetic steel plates.
次に、本発明に係る静止誘導機器用鉄心1の一実施形態について図面を参照して説明する。なお、図1は本実施形態の静止誘導機器用鉄心1の構成の概略を示す斜視図であり、図2は静止誘導機器鉄心1の平面図である。 <First Embodiment>
Next, an embodiment of the
となる。 N 0 = 2π / θ 0 (Formula 5)
It becomes.
となる。 (Φ B π / N 0 ) 2 = 2t 2 (Formula 6)
It becomes.
{ΦBπ/(π/2θ0)}2=2t2 Here, substituting (Equation 5) into (Equation 6),
{Φ B π / (π / 2θ 0 )} 2 = 2t 2
となる。 By arranging both sides, Φ B = 2√2t / θ 0 (Expression 7)
It becomes.
(ΦBπ/N0)2=s2+t2<2t2 ・・・(式8)
となる。 At this time, in the right triangle abc,
(Φ B π / N 0 ) 2 = s 2 + t 2 <2t 2 (Equation 8)
It becomes.
ΦB<2√2t/θ ・・・(式9)
となる。 Here, if (Equation 5) is substituted into (Equation 8),
Φ B <2√2t / θ (Equation 9)
It becomes.
(ΦBπ/N’)2=2t2 ・・・(式10)
また、N’=2π/θ’ ・・・(式11)
となる。 Then
(Φ B π / N ′) 2 = 2t 2 (Equation 10)
N ′ = 2π / θ ′ (Expression 11)
It becomes.
{ΦBπ/(π/2θ’)}2=2t2 From (Equation 10) and (Equation 11),
{Φ B π / (π / 2θ ′)} 2 = 2t 2
ΦB=2√2t/θ’ ・・・(式12)
となる。 If you organize both sides,
Φ B = 2√2t / θ ′ (Expression 12)
It becomes.
ΦB=2√2t/θ’>2√2t/θ0(∵θ’<θ0)
となる。 This (Equation 12) is
Φ B = 2√2t / θ ′> 2√2t / θ 0 (∵θ ′ <θ 0 )
It becomes.
(ΦBπ/N’)2=s2+t2<2t2 ・・・(式13)
となる。 At this time, in the right triangle abc,
(Φ B π / N ′) 2 = s 2 + t 2 <2t 2 (Equation 13)
It becomes.
ΦB<2√2t/θ’ ・・・(式14)
となる。 Substituting (Equation 11) into (Equation 13),
Φ B <2√2t / θ ′ (Expression 14)
It becomes.
ΦB<2√2t/θ’>2√2t/θ0(∵θ’<θ0)
となる。 This (Equation 14) is
Φ B <2√2t / θ ′> 2√2t / θ 0 (∵θ ′ <θ 0 )
It becomes.
したがって、θ’=2tan-1(t’/ΦA) ・・・(式15) tan (θ ′ / 2) = (t ′ / 2) / (Φ A / 2) = t ′ / Φ A
Therefore, θ ′ = 2 tan −1 (t ′ / Φ A ) (Equation 15)
(ΦBπ/N’)2=2t2 ・・・(式16)
N’=2π/θ’ ・・・(式17)
となる。 Also,
(Φ B π / N ′) 2 = 2t 2 (Expression 16)
N ′ = 2π / θ ′ (Expression 17)
It becomes.
{ΦBπ/(π/2θ’)}2=2t2 From (Expression 16) and (Expression 17),
{Φ B π / (π / 2θ ′)} 2 = 2t 2
ΦB=2√2t/θ’ ・・・(式18)
となる。 If you organize both sides,
Φ B = 2√2t / θ ′ (Expression 18)
It becomes.
ΦB=√2tan-1(t’/ΦA) ・・・(式19)
となる。 Substituting (Equation 18) into (Equation 15),
Φ B = √2 tan −1 (t ′ / Φ A ) (Equation 19)
It becomes.
(t’)2=(ΦA)2+(ΦA)2-2(ΦA)2cosθ’であり、
t’=ΦA√{(1-cosθ’)/2} ・・・(式20)
となる。 Here, from the cosine theorem in the triangle OAA ',
(T ′) 2 = (Φ A ) 2 + (Φ A ) 2 −2 (Φ A ) 2 cos θ ′,
t ′ = Φ A √ {(1-cos θ ′) / 2} (Equation 20)
It becomes.
(ΦBπ/N’)2=s2+t2<2t2 ・・・(式21)
となる。 At this time, in the right triangle abc,
(Φ B π / N ′) 2 = s 2 + t 2 <2t 2 (Formula 21)
It becomes.
ΦB<2√2t/θ’ ・・・(式22)
となる。 Substituting (Equation 17) into (Equation 21),
Φ B <2√2t / θ ′ (Expression 22)
It becomes.
L1:f(x、y)=0
とおく。 A plane L 1 passing through the point A (R (= Φ A / 2), 0) of the first magnetic steel plate shown in FIG. 10 is expressed as L 1 : f (x, y) = 0.
far.
L2:g(f(x、y),θ’)=0
と表すことができる。 Further, the surface L2 of the second magnetic steel plate adjacent to the first magnetic steel plate uses the central rotation angle θ ′,
L 2 : g (f (x, y), θ ′) = 0
It can be expressed as.
g(f(xb,yb),θ’)=0
が成立する。 Since this surface L 2 is in contact with the first magnetic steel plate at point B (x b , y b ),
g (f (x b , y b ), θ ′) = 0
Is established.
L1:f(x,y)=y-(x-R)tan(-α)=0 Hereinafter, it is assumed that the cross-sectional shapes of the surfaces L 1 and L 2 are straight lines. The angle between L 1 and the x-axis when putting the alpha, geometrically function f is expressed as follows.
L 1 : f (x, y) = y− (x−R) tan (−α) = 0
L2:g(f(x,y),θ’)
=y-Rsinθ’-(s-Rsinθ’)tan(θ’-α)=0 Therefore, L 2 becomes the following equation.
L 2 : g (f (x, y), θ ′)
= Y-Rsinθ '-(s-Rsinθ') tan (θ'-α) = 0
tcosα-Rsinθ-(R+tsinα-Rcosθ)tan(θ-α)=0
となる。 If the thickness of the steel sheet is t, the coordinates of the point B are (R + tsin α, t cos α). Substituting the coordinates of the point B to the formula L 2,
tcos α-R sin θ- (R + tsin α-R cos θ) tan (θ-α) = 0
It becomes.
このように構成した本実施形態に係る静止誘導機器用鉄心1によれば、鉄心ブロック2が円筒状鉄心要素2A、2B、2Cを同士円上に複数積層して形成されたものであり、占積率を向上させることができ、鉄損を低減することができる。また、ギャップ部材3によって磁路中の磁気抵抗を増減させて所望のリアクタンスを得ることができる上に、磁気抵抗を大きくした場合に径方向に貫通する漏洩磁束の磁束量は増加するが、この漏洩磁束は等価的に略放射状に設けられた磁性鋼板21の幅方向に沿って通過するようになり、渦電流を低減することができる。さらに、磁性鋼板21をずらして積み重ねて形成された鉄心ブロック2間にギャップ部材3を挟み込むという構成により、製造の簡単化及び製造コストの削減を実現することができる。 <Effects of First Embodiment>
According to the
なお、本発明は前記実施形態に限られるものではない。以下の説明において前記実施形態に対応する部材には同一の符号を付すこととする。 <Other modified embodiments>
The present invention is not limited to the above embodiment. In the following description, the same reference numerals are given to members corresponding to the above-described embodiment.
次に、渦電流を好適に抑制することができる円筒状鉄心、誘導発熱ローラ装置及び静止誘導機器に関する第2実施形態について説明する。 Second Embodiment
Next, a second embodiment relating to a cylindrical iron core, an induction heating roller device, and a stationary induction device that can suitably suppress eddy currents will be described.
本実施形態に係る誘導発熱ローラ装置1は、例えば樹脂フィルム、紙、布、不織布、金属箔などのシート材又はウエブ材の連続熱処理工程又は合成繊維の熱延伸処理工程等において用いられるものであり、回転可能に設けられた中空円筒状の発熱ローラ体2と、この発熱ローラ体2内に収容される磁束発生機構3と、を備えている。 <Device configuration>
The induction
磁性鋼板311は、長尺形状をなすものであり、図14に示すように、幅方向断面が湾曲形状をなす湾曲部3111を有する。この磁性鋼板311は、例えば表面に絶縁皮膜が施されたケイ素鋼板により形成されており、その板厚は、例えば約0.3mmである。 Thus, as shown in FIG. 13, the
The
記磁性鋼板311の板厚tが、 The
このように構成した本実施形態に係る誘導発熱ローラ装置1によれば、円筒状鉄心31において、渦電流の最大となる部分の幅寸法が磁性鋼板311の板厚t以下となり、最大渦電流値を可及的に小さくすることができる。したがって、磁性鋼板311をずらして積み重ねることにより簡単な構成且つ製造コストの削減を実現しつつ、円筒状鉄心31の鉄損を低減することができ、その結果、機器の効率低下及び発熱を防ぐことができる。 <Effects of Second Embodiment>
According to the induction
Claims (7)
- 幅方向断面が湾曲形状をなす湾曲部を有する複数の磁性鋼板を、幅方向にずらして積み重ねることにより形成された複数の円筒状鉄心要素を同心円状に積層して形成された静止誘導機器用鉄心。 An iron core for stationary induction equipment formed by concentrically laminating a plurality of cylindrical core elements formed by stacking a plurality of magnetic steel plates having curved portions whose cross sections in the width direction are curved. .
- 幅方向断面が湾曲形状をなす湾曲部を有する複数の磁性鋼板を、幅方向にずらして積み重ねることにより形成された複数の円筒状鉄心要素を同心円状に積層して形成された複数の鉄心ブロックと、
前記鉄心ブロック間に設けられた磁気ギャップと、を具備する請求項1記載の静止誘導機器用鉄心。 A plurality of core blocks formed by concentrically laminating a plurality of cylindrical core elements formed by stacking a plurality of magnetic steel plates having a curved portion whose cross section in the width direction forms a curved shape, shifted in the width direction; and ,
The iron core for stationary induction equipment according to claim 1, further comprising a magnetic gap provided between the iron core blocks. - 前記磁気ギャップが、非磁性体からなるギャップ部材を前記鉄心ブロック間に挟み込むことにより形成されている請求項2記載の静止誘導機器用鉄心。 3. The iron core for stationary induction equipment according to claim 2, wherein the magnetic gap is formed by sandwiching a gap member made of a non-magnetic material between the iron core blocks.
- 前記鉄心ブロックの径方向最外側に設けられた円筒状鉄心要素を構成する磁性鋼板の積層側側面における外部露出部の幅方向長さが、前記磁性鋼板の板厚以下である請求項1記載の静止誘導機器用鉄心。 2. The length in the width direction of the externally exposed portion on the side surface of the laminated side of the magnetic steel plates constituting the cylindrical core element provided on the radially outermost side of the iron core block is equal to or less than the plate thickness of the magnetic steel plates. Iron core for stationary induction equipment.
- 前記鉄心ブロックの径方向最外側に設けられた円筒状鉄心要素の内径ΦA、外径ΦB、及び前記磁性鋼板の板厚tが、
前記中心角度θ’が、前記磁性鋼板の傾斜角度がゼロの場合の中心角度θ0と等しくなるときの磁性鋼板の傾斜角度αをθXとし、
磁性鋼板の傾斜角度αがθX以下の場合には、
The tilt angle α of the magnetic steel sheet when the center angle θ ′ is equal to the center angle θ 0 when the tilt angle of the magnetic steel sheet is zero is θ X ,
When the inclination angle α of the magnetic steel sheet is θ X or less,
- 幅方向断面が湾曲形状をなす湾曲部を有する複数の磁性鋼板を、幅方向にずらして積み重ねることにより形成された円筒状鉄心であって、
前記磁性鋼板の積層側側面における外部露出部の幅方向長さが、前記磁性鋼板の板厚以下である円筒状鉄心。 A cylindrical iron core formed by stacking a plurality of magnetic steel plates having a curved portion having a curved cross section in the width direction, shifted in the width direction,
A cylindrical iron core in which a length in a width direction of an externally exposed portion on a laminated side surface of the magnetic steel sheet is equal to or less than a thickness of the magnetic steel sheet. - 前記円筒状鉄心の内径ΦA、外径ΦB、及び前記磁性鋼板の板厚tが、
前記中心角度θ’が、前記磁性鋼板の傾斜角度がゼロの場合の中心角度θ0と等しくなるときの磁性鋼板の傾斜角度αをθXとし、
磁性鋼板の傾斜角度αがθX以下の場合には、
The tilt angle α of the magnetic steel sheet when the center angle θ ′ is equal to the center angle θ 0 when the tilt angle of the magnetic steel sheet is zero is θ X ,
When the inclination angle α of the magnetic steel sheet is θ X or less,
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---|---|---|---|---|
EP2736055A1 (en) * | 2012-11-21 | 2014-05-28 | Hamilton Sundstrand Corporation | Enhanced leakage common mode inductor |
Also Published As
Publication number | Publication date |
---|---|
CN102113070B (en) | 2012-08-29 |
CN102113070A (en) | 2011-06-29 |
TW201005765A (en) | 2010-02-01 |
TWI450285B (en) | 2014-08-21 |
KR101526033B1 (en) | 2015-06-04 |
KR20110042086A (en) | 2011-04-22 |
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