CN113708516A - Electromagnetic design method for high-speed permanent magnet synchronous motor additional inductor - Google Patents
Electromagnetic design method for high-speed permanent magnet synchronous motor additional inductor Download PDFInfo
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- CN113708516A CN113708516A CN202110687933.2A CN202110687933A CN113708516A CN 113708516 A CN113708516 A CN 113708516A CN 202110687933 A CN202110687933 A CN 202110687933A CN 113708516 A CN113708516 A CN 113708516A
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- 230000001360 synchronised effect Effects 0.000 title claims abstract description 19
- 238000000034 method Methods 0.000 title claims abstract description 12
- 238000004804 winding Methods 0.000 claims description 9
- 230000035699 permeability Effects 0.000 description 17
- 230000005291 magnetic effect Effects 0.000 description 12
- 230000004907 flux Effects 0.000 description 8
- 238000004364 calculation method Methods 0.000 description 4
- 230000004323 axial length Effects 0.000 description 3
- 239000004020 conductor Substances 0.000 description 2
- 238000010586 diagram Methods 0.000 description 2
- 239000003302 ferromagnetic material Substances 0.000 description 2
- XEEYBQQBJWHFJM-UHFFFAOYSA-N Iron Chemical group [Fe] XEEYBQQBJWHFJM-UHFFFAOYSA-N 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
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- 230000001788 irregular Effects 0.000 description 1
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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
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02K—DYNAMO-ELECTRIC MACHINES
- H02K21/00—Synchronous motors having permanent magnets; Synchronous generators having permanent magnets
- H02K21/12—Synchronous motors having permanent magnets; Synchronous generators having permanent magnets with stationary armatures and rotating magnets
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02K—DYNAMO-ELECTRIC MACHINES
- H02K2213/00—Specific aspects, not otherwise provided for and not covered by codes H02K2201/00 - H02K2211/00
- H02K2213/03—Machines characterised by numerical values, ranges, mathematical expressions or similar information
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- Engineering & Computer Science (AREA)
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- Iron Core Of Rotating Electric Machines (AREA)
Abstract
The invention relates to an electromagnetic design method of an additional inductor of a high-speed permanent magnet synchronous motor, which comprises the following steps: (1) stator yoke open slot opening b0Designing; tooth width t of stator yoke open slot0Designing; the groove shoulder depth of the opening groove of the stator yoke is h0The stator yoke open groove depth h is designed.
Description
Technical Field
The invention relates to an electromagnetic design method of an additional inductor of a high-speed permanent magnet synchronous motor.
Background
The rotor of the high-speed permanent magnet synchronous motor is in a high-speed rotating state, and the high rotating speed and the high conductivity of the permanent magnet of the rotor enable the eddy current loss of the permanent magnet to become one of main losses of the high-speed motor. For this reason, it is necessary to reduce eddy current loss of the permanent magnet at the motor design stage. For a permanent magnet synchronous motor powered by a frequency converter, high-frequency harmonic current of a stator is a main cause for generating eddy current loss of a permanent magnet. The number of turns of the motor is usually small in the design of the high-speed motor, so that the inductance of the high-speed motor is small. The small inductor is not beneficial to filtering high-frequency harmonic current of the stator, and the high-frequency harmonic current of the stator of the high-speed motor is usually suppressed by connecting a reactor in series. This however clearly increases the cost and bulk of the motor.
Based on the reasons, the electromagnetic design method for the high-speed permanent magnet synchronous motor additional inductance is provided, and the design method can increase the inductance of the high-speed permanent magnet synchronous motor from the design link. The method has extremely high engineering value and practical engineering significance for the design of the high-speed permanent magnet synchronous motor.
Disclosure of Invention
The invention aims to provide an electromagnetic design scheme for increasing the inductance of a high-speed permanent magnet synchronous motor so as to increase the suppression capability of the high-speed permanent magnet synchronous motor on the high-frequency harmonic current of a stator. The technical scheme is as follows:
an electromagnetic design method for an additional inductor of a high-speed permanent magnet synchronous motor is characterized in that a stator yoke open slot is defined as b0The depth of the groove shoulder of the open slot of the stator yoke is h0The width of the open slot of the stator yoke is t0The groove depth of the stator yoke open groove is h. The outer diameter of the motor is D, and the outer diameter of the stator yoke is D1The width of the stator slot tooth is t1The area of the stator slot is S, the number of winding turns is N, the diameter of the winding wire is d, and the number of the stator slot and the number of the stator yoke open slots are N. The electromagnetic design method comprises the following steps:
(1) stator yoke open slot opening b0The design is carried out according to the following formula: b0＝2d；
(2) Tooth width t of stator yoke open slot0The design is as follows: t is t0＝2t1；
(3) The depth h of the stator yoke open slot is designed according to the following formula:
the invention is applied to increasing the electromagnetic design of the high-speed permanent magnet motor, and has the following advantages: the inductance of the high-speed permanent magnet synchronous motor is increased, so that the high-frequency harmonic current of the stator of the high-speed permanent magnet synchronous motor is reduced, and the loss of the rotor is reduced.
Drawings
The invention is further described with reference to the accompanying drawings and specific embodiments
FIG. 1 is a schematic structural diagram of the present invention
FIG. 2 is a diagram illustrating the dimensions of the slots of the stator yoke
FIG. 3 is a simplified front and rear stator yoke slot opening dimension
FIG. 4 is a simplified notched magnetic circuit
FIG. 5 shows a sector flux tube and its parameter definitions
FIG. 6 shows a semicircular flux tube and its parameter definitions
Detailed Description
The technical solutions of the embodiments of the present invention are explained and illustrated below with reference to the drawings of the embodiments of the present invention, but the following embodiments are only preferred embodiments of the present invention, and not all embodiments. Based on the embodiments in the implementation, other embodiments obtained by those skilled in the art without any creative effort belong to the protection scope of the present invention.
An example is shown in figure 1. The technical scheme of the invention is as follows: the motor comprises a stator core, wherein a stator slot is arranged on the inner circle of the stator core, and a stator yoke open slot is arranged on the outer circle of the stator core. The stator winding is closed with the stator yoke open slot through the stator slot to form a closed loop. The stator slot inner conductor and the stator core form a magnetic circuit to generate a main inductance of the high-speed permanent magnet synchronous motor; and the stator yoke open slot inner conductor and the stator core form a magnetic circuit to generate additional inductance of the high-speed permanent magnet synchronous motor. The magnetic circuit corresponding to the additional inductance does not participate in armature reaction, and when the electromagnetic design is carried out, the magnetic circuit completely generates the additional inductance, so that the additional inductance is far larger than the main inductance. When designing the magnetic circuit of the additional inductor, the method is also greatly different from the design of the main inductor. To explore the design principle of the additional inductance, the relationship between the additional inductance and each variable of the electromagnetic design should be studied first.
In order to solve the problem that the armature inductance value of the existing high-speed permanent magnet synchronous motor is small, from the electromagnetic design angle, the additional inductance of the high-speed permanent magnet synchronous motor is obtained. From the definition of inductance, the calculation of the additional inductance of the stator yoke part is the same as the calculation method of the inductance of the common motor, and can be classified into the calculation of the air gap permeability of the notch.
Neglecting the nonlinearity of the ferromagnetic material in the calculation, considering that the magnetic permeability of the ferromagnetic material is much larger than that of the air gap, the magnetic permeability of the air gap can be calculated by the following formula:
wherein G is the air gap permeability, S is the permeability area, and L is the length of the magnetic circuit. μ is the permeability of the vacuum.
This is now simplified due to the irregular shape of the stator yoke slots. The simplified front and rear stator yoke slot opening dimensions are shown in fig. 3. The simplified slotted magnetic circuit may be equivalent to 5 flux tubes as shown in figure 4. They can be divided into three categories, 1 and 5 are sector flux tubes, 2 and 4 are semicircular flux tubes, and 3 is a parallel flux tube.
For a fan-shaped flux tube, the magnetic permeability can be calculated according to the following formula:
in the formula IefIs the axial length of the motor, mu0The remaining formulas are defined as shown in FIG. 5 for magnetic permeability in vacuum.
For a semi-circle, the permeability can be calculated as follows:
lefthe remaining definitions of the axial length of the motor are shown in FIG. 6.
For a parallel flux tube, the permeability can be calculated by the following formula
In the formula IefIs the axial length of the motor, h0 b0The definitions are shown in fig. 3.
From this, the total permeability per slot can be calculated as:
Gadd＝G1+G2+G3+G4+G5
in the formula, G1Air gap permeability, G, for region 1 in FIG. 42Air gap permeability, G, for region 2 in FIG. 43Air gap permeability, G, for region 3 in FIG. 44Air gap permeability, G, for the 4 region in FIG. 45The air gap permeability is shown in the region 5 of fig. 4.
The value of the stator yoke additional inductance is then
Ladd＝nNGadd
In the formula: n is the number of open slots of the stator yoke, and N is the number of winding turns.
To obtain the maximum additional inductance value, the stator yoke open slots are electromagnetically designed.
The design steps are as follows:
the main design dimensions of the stator yoke open slots are shown in fig. 2. The stator yoke is defined by a slot opening of an open slot b0The depth of the groove shoulder of the open slot of the stator yoke is h0The width of the open slot of the stator yoke is t0The groove depth of the stator yoke open groove is h. The outer diameter of the motor is D, and the outer diameter of the stator yoke is D1The width of the stator slot tooth is t1The area of the stator slot is S, the number of winding turns is N, the diameter of the winding wire is d, and the number of the stator slot and the number of the stator yoke open slots are N.
The additional inductance is derived from the previous formula and can be approximated as:
wherein L isaddFor additional inductance, N is the number of winding turns, μ0Is a vacuum permeability,. lefC is a constant and is the effective iron core length of the motor.
To obtain a larger additional inductance, a larger h can be designed0And b0The ratio of (a) to (b).
1. Stator yoke open slot opening b0Design (2) of
The design is carried out according to the following formula:
b0＝2d
2. tooth width t of stator yoke open slot0Design (2) of
Tooth width t of stator yoke open slot0The design is as follows:
t0＝2t1
3. the depth of the groove shoulder of the open slot of the stator yoke is h0Design (2) of
Due to h0＝(D-D1) 0.5-h, want to get the maximum h0Design value, the value of h should be designed to be minimum.
The depth h of the stator yoke open slot is designed according to the following formula:
in the formula, n is the number of the open slots of the stator yoke, and the minimum design value of h can be realized according to the design of the formula.
So far, the design is completed, and a larger additional inductor can be obtained according to the design.
Claims (1)
1. An electromagnetic design method for an additional inductor of a high-speed permanent magnet synchronous motor is characterized in that a stator yoke open slot is defined as b0The depth of the groove shoulder of the open slot of the stator yoke is h0The width of the open slot of the stator yoke is t0The groove depth of the open slot of the stator yoke is h, the outer diameter of the motor is D, and the outer diameter of the stator yoke is D1The width of the stator slot tooth is t1The area of the stator slot is S, the number of winding turns is N, the diameter of the winding wire is d, and the number of the stator slot and the number of the stator yoke open slots are N. The electromagnetic design method comprises the following steps:
(1) stator yoke open slot opening b0The design is carried out according to the following formula: b0＝2d；
(2) Tooth width t of stator yoke open slot0According to the followingThe following formula is designed: t is t0＝2t1；
(3) The design of the groove depth h of the open groove of the stator yoke is designed according to the following formula:
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| CN202110687933.2A CN113708516B (en) | 2021-06-21 | 2021-06-21 | Electromagnetic design method for high-speed permanent magnet synchronous motor additional inductor |
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| CN202110687933.2A CN113708516B (en) | 2021-06-21 | 2021-06-21 | Electromagnetic design method for high-speed permanent magnet synchronous motor additional inductor |
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Citations (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2000175384A (en) * | 1998-12-09 | 2000-06-23 | Shin Etsu Chem Co Ltd | Permanent magnet motor |
| US20080024028A1 (en) * | 2006-07-27 | 2008-01-31 | Islam Mohammad S | Permanent magnet electric motor |
| JP2009201235A (en) * | 2008-02-21 | 2009-09-03 | Jfe Steel Corp | Method for fixing stator of electric motor |
| US20100141080A1 (en) * | 2008-12-29 | 2010-06-10 | Tesla Motors, Inc. | Induction motor with improved torque density |
| CN202513786U (en) * | 2012-03-02 | 2012-10-31 | 合肥凯邦电机有限公司 | Stator core of motor |
| CN103151886A (en) * | 2013-02-27 | 2013-06-12 | 东南大学 | Rotor magnetism gathering type two-stator field modulation permanent magnet generator |
| DE102016222398A1 (en) * | 2016-11-15 | 2018-05-17 | Robert Bosch Gmbh | Optimized electric machine |
-
2021
- 2021-06-21 CN CN202110687933.2A patent/CN113708516B/en not_active Expired - Fee Related
Patent Citations (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2000175384A (en) * | 1998-12-09 | 2000-06-23 | Shin Etsu Chem Co Ltd | Permanent magnet motor |
| US20080024028A1 (en) * | 2006-07-27 | 2008-01-31 | Islam Mohammad S | Permanent magnet electric motor |
| JP2009201235A (en) * | 2008-02-21 | 2009-09-03 | Jfe Steel Corp | Method for fixing stator of electric motor |
| US20100141080A1 (en) * | 2008-12-29 | 2010-06-10 | Tesla Motors, Inc. | Induction motor with improved torque density |
| CN202513786U (en) * | 2012-03-02 | 2012-10-31 | 合肥凯邦电机有限公司 | Stator core of motor |
| CN103151886A (en) * | 2013-02-27 | 2013-06-12 | 东南大学 | Rotor magnetism gathering type two-stator field modulation permanent magnet generator |
| DE102016222398A1 (en) * | 2016-11-15 | 2018-05-17 | Robert Bosch Gmbh | Optimized electric machine |
Non-Patent Citations (2)
| Title |
|---|
| WANG XIAOYUAN, ET AL.: "The Simplified Multilevel Technology Used in Permanent Magnet Synchronous Motor with Low Inductance", 《IEEE 2018 21ST INTERNATIONAL CONFERENCE ON ELECTRICAL MACHINES AND SYSTEMS (ICEMS)》, 7 October 2018 (2018-10-07), pages 1440 - 1445, XP033459663, DOI: 10.23919/ICEMS.2018.8549010 * |
| 曹翼: "高速永磁同步电机的电磁性能分析与结构设计", 《电机技术》, no. 3, 30 December 2016 (2016-12-30), pages 6 - 10 * |
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