CN114444308B - Design method suitable for water-filled submersible motor auxiliary tank - Google Patents
Design method suitable for water-filled submersible motor auxiliary tank Download PDFInfo
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- CN114444308B CN114444308B CN202210101491.3A CN202210101491A CN114444308B CN 114444308 B CN114444308 B CN 114444308B CN 202210101491 A CN202210101491 A CN 202210101491A CN 114444308 B CN114444308 B CN 114444308B
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- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 title claims abstract description 41
- 238000000034 method Methods 0.000 title claims abstract description 32
- 230000004907 flux Effects 0.000 claims abstract description 66
- 238000013178 mathematical model Methods 0.000 claims abstract description 14
- 238000000354 decomposition reaction Methods 0.000 claims abstract description 6
- 230000009189 diving Effects 0.000 claims 1
- 238000004458 analytical method Methods 0.000 description 2
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000004364 calculation method Methods 0.000 description 1
- 238000010586 diagram Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 230000007774 longterm Effects 0.000 description 1
- 238000004519 manufacturing process Methods 0.000 description 1
- 238000005457 optimization Methods 0.000 description 1
- 238000004088 simulation Methods 0.000 description 1
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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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
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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
- H02K1/00—Details of the magnetic circuit
- H02K1/06—Details of the magnetic circuit characterised by the shape, form or construction
- H02K1/22—Rotating parts of the magnetic circuit
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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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- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Computer Hardware Design (AREA)
- Evolutionary Computation (AREA)
- Geometry (AREA)
- General Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Motor Or Generator Frames (AREA)
- Iron Core Of Rotating Electric Machines (AREA)
- Manufacture Of Motors, Generators (AREA)
Abstract
The invention discloses a design method of an auxiliary tank of a water-filled submersible motor, which comprises the following steps: calculating the air gap flux guide of the water-filled submersible motor; establishing an air gap flux guide mathematical model containing an auxiliary groove; performing two-dimensional Fourier decomposition on a mathematical model of the air gap flux guide; drawing a curve of Total Harmonic Distortion (THD) of air gap flux guide along with the change of the size of an auxiliary groove; the motor auxiliary slot is sized according to the THD curve. The result shows that the method can effectively reduce the flux-guide harmonic content of the water-filled submersible motor and weaken the electromagnetic vibration of the motor.
Description
Technical Field
The invention relates to the field of motor optimization, in particular to a design method suitable for an auxiliary tank of a water-filled submersible motor.
Background
The vibration and noise of the motor seriously interfere the production and life of people, how to restrain electromagnetic noise and vibration is a long-term and deep research subject, and the auxiliary groove can effectively weaken the vibration and noise of the submersible motor and improve the harmonic content of an air gap magnetic field. In consideration of the influence of water friction loss, an auxiliary groove is formed in the rotor, and meanwhile, the size of the auxiliary groove has a large influence on the harmonic content of the air gap magnetic field.
Disclosure of Invention
The invention aims to provide a design method for an auxiliary tank of a water-filled submersible motor, which can be used for effectively improving the harmonic content of an air gap magnetic field by modeling the air gap flux of the submersible motor, analyzing the influence of the size of the auxiliary tank on the air gap flux, and selecting a proper auxiliary tank size.
The aim of the invention is achieved by the following technical scheme:
the design method for optimizing the efficiency of the water-filled submersible motor comprises the following steps:
s1: calculating the air gap flux guide when the water filling type submersible motor is not grooved:
according to the formulaCalculating an air gap flux guide when the water-filled submersible motor is not slotted, wherein: mu (mu) 0 ＝4π×10 -7 N/A 2 (T.m/A), delta is the air gap length;
s2: calculating the air gap flux guide of the opening part of the slot when the stator of the water-filled submersible motor is not slotted and the rotor slot is equivalent to the open slot:
according to the formulaCalculating an air gap flux guide of the slot opening part when the water-filled submersible motor stator is not slotted and the rotor slot is equivalent to the open slot, wherein: delta 1 After the rotor groove is equivalent to the open groove, the equivalent groove depth of the open groove;
s3: calculating the equivalent groove width of the closed groove equivalent of the rotor of the water-filled submersible motor as an open groove:
according to formula b w ＝b s -2h s0 The cotα calculates the equivalent slot width when the closed slot equivalent of the water-filled submersible motor is an open slot, wherein: b w Is equivalent groove width b s Is the slot width of a closed slot, h s0 Is the slot bridge height, alpha is the angle of the auxiliary line, and 45 degrees is taken;
s4: determining the initial size of the auxiliary groove:
the method for determining the initial size of the auxiliary groove comprises the following steps: the width of the auxiliary groove is more than twice the length of the motor air gap, is less than the width of the rotor groove, the height of the auxiliary groove is 1/m of the height of the rotor groove, and the m is 5-10;
s5: calculating the air gap flux guide at the notch when the auxiliary slot is equivalent to the open slot:
according to the formulaCalculating an air gap flux guide at a notch when the auxiliary groove of the water-filled submersible motor is equivalent to an open groove, wherein: delta 2 After the auxiliary groove is equivalent to the open groove, the equivalent groove depth of the open auxiliary groove;
s6: calculating the equivalent slot width when the closed auxiliary slot is equivalent to the open slot:
according to formula b w1 ＝b s1 -2h s01 The cotα calculates the equivalent slot width when the closed auxiliary slot of the water-filled submersible motor is equivalent to the open auxiliary slot, wherein: b w1 Is the equivalent groove width of the auxiliary groove, b s1 Is the groove width of the auxiliary groove, h s01 Is an auxiliary groove bridge height;
s7: establishing an air gap flux guide mathematical model with auxiliary grooves:
the method for establishing the mathematical model of the air gap flux guide with the auxiliary groove comprises the following steps: simulating the change waveform of the air gap flux by using a periodically-changed rectangular wave, carrying out per unit treatment on each part of the air gap flux calculated in the steps S1, S2 and S5, and taking the air gap flux as the amplitude of the rectangular wave, wherein the duty ratio corresponding to each part of the amplitude is obtained by the ratio of the rotor slot equivalent slot opening calculated in the step S4 and the auxiliary slot equivalent slot opening calculated in the step S6 to the rotor slot moment;
s8: performing two-dimensional Fourier decomposition on the air gap flux guide mathematical model;
s9: total Harmonic Distortion (THD) of the air gap flux guide is calculated:
the method for calculating Total Harmonic Distortion (THD) of air gap flux guide comprises the following steps: according to the formulaCalculating total harmonic distortion of the air gap flux guide, wherein: lambda (lambda) n Is the n-order harmonic amplitude, lambda of the air gap flux guide 1 Is the amplitude of the air gap flux guide fundamental wave;
s10: taking the auxiliary groove size in the step S5 as a reference, selecting k groups of auxiliary groove widths and m groups of auxiliary groove depths according to an equal difference incremental column, determining tolerance according to the groove type sizes in the calculation process, wherein the difference between the groove sizes of the motor rotors with different power levels is larger, k is 10-20, m is 5-10, and repeating the steps S4-S9;
s12: drawing a curve of THD of the air gap flux guide along with the change of the groove width and the groove depth of the auxiliary groove;
s13: determining the auxiliary groove size:
the method for determining the auxiliary groove size comprises the following steps: based on the THD curve of the air gap flux guide, an auxiliary slot size is determined that minimizes the motor harmonic content.
Further, the method comprises the following steps:
s14: in the step S10, k is 20, and m is 10;
s15: in the step S10, k groups of auxiliary groove widths and m groups of auxiliary groove depths are selected according to the arithmetic progression, the selected auxiliary groove widths are not more than the rotor groove widths at maximum, and the selected auxiliary groove depths are not more than the rotor groove depths;
the invention has the beneficial effects that: (1) The method for analyzing the influence of the auxiliary groove size on the air gap flux of the water-filled submersible motor is researched, the auxiliary groove size is not determined by finite element simulation, and the main size of the auxiliary groove can be designed more quickly;
(2) The design method is suitable for the auxiliary tank of the water-filled submersible motor, and electromagnetic vibration and noise of the water-filled submersible motor are reduced;
(3) The method is simple to implement, obvious in effect and wide in universality.
Drawings
The accompanying drawings, which are included to provide a further understanding of the application and are incorporated in and constitute a part of this application, illustrate embodiments of the application and together with the description serve to explain the application and do not constitute an undue limitation to the application.
FIG. 1 is a flow chart of a method for designing an auxiliary tank of a water-filled submersible motor;
FIG. 2 is a schematic diagram of a mathematical model of air gap permeance with auxiliary slots;
FIG. 3 is a Fourier decomposition result of air gap permeance;
fig. 4 is a plot of Total Harmonic Distortion (THD) of air gap permeance as a function of auxiliary slot size.
The specific embodiment is as follows:
in one embodiment, a YQ55 wet submersible motor is targeted for a rated voltage 380v,4 poles, rated output power 55kW:
as shown in fig. 1, a design method for optimizing efficiency of a water-filled submersible motor comprises the following steps:
s1: calculating the air gap flux guide when the water filling type submersible motor is not grooved:
according to the formulaCalculating an air gap flux guide when the water-filled submersible motor is not slotted, wherein: mu (mu) 0 ＝4π×10 -7 N/A 2 (T·m/A)，δ＝1，λ δ ＝4π×10 -7 N/A 2 (T·m/A)；
S2: calculating the air gap flux guide of the opening part of the slot when the stator of the water-filled submersible motor is not slotted and the rotor slot is equivalent to the open slot:
according to the formulaCalculating the air gap flux guide lambda of the slot opening part when the stator of the water-filled submersible motor is not slotted and the rotor slot is equivalent to the open slot δ1 ＝6.4×10 -8 N/A 2 (T·m/A)；
S3: calculating the equivalent groove width of the closed groove equivalent of the rotor of the water-filled submersible motor as an open groove:
according to formula b w ＝b s -2h s0 The cotα calculates the equivalent slot width when the closed slot equivalent of the water-filled submersible motor is an open slot, wherein: b w ＝2.7mm,b s ＝4.7mm,h s0 ＝1mm,α＝45°；
S4: determining the initial size of the auxiliary groove:
the method for determining the initial size of the auxiliary groove comprises the following steps: the auxiliary groove width is 2.9mm, and the groove height is 1.87mm;
s5: calculating the air gap flux guide at the notch when the auxiliary slot is equivalent to the open slot:
the method for calculating the air gap flux guide at the notch when the auxiliary groove is equivalent to the open groove comprises the following steps: according to the formulaCalculating the air gap flux at the notch when the auxiliary groove of the water-filled submersible motor is equivalent to the open groove, lambda δ2 ＝4.37×10 -7 N/A 2 ；
S6: calculating the equivalent slot width when the closed auxiliary slot is equivalent to the open slot:
according to formula b w1 ＝b s1 -2h s01 The equivalent groove width when the water-filled submersible motor closed auxiliary groove is equivalent to the open auxiliary groove is calculated by the cota is 0.1mm;
s7: establishing an air gap flux guide mathematical model with auxiliary grooves:
the method for establishing the mathematical model of the air gap flux guide with the auxiliary groove comprises the following steps: simulating the change waveform of the air gap flux guide by using a periodically-changed rectangular wave, carrying out per unit treatment on each part of the air gap flux guide calculated in the steps S1, S2 and S5, and taking the air gap flux guide as the amplitude of the rectangular wave, wherein the duty ratio corresponding to each part of the amplitude is obtained by the ratio of the rotor slot equivalent slot opening calculated in the step S4 to the rotor slot moment respectively, wherein the ratio is 70% and 90% respectively, and a specific mathematical model is shown in fig. 2 in detail;
s8: performing two-dimensional Fourier decomposition on the air gap flux guide mathematical model, wherein the Fourier decomposition result of the specific air gap flux guide in the embodiment is shown in FIG. 3;
s9: total Harmonic Distortion (THD) of the air gap flux guide is calculated:
the method for calculating Total Harmonic Distortion (THD) of air gap flux guide comprises the following steps: according to the formulaCalculating total harmonic distortion of air gap flux guide, wherein lambda n Is the n-order harmonic amplitude, lambda of the air gap flux guide 1 Is the amplitude of the fundamental wave of air gap flux guide, lambda THD ＝0.03038；
S10: taking the auxiliary groove size in the step S5 as a reference, selecting k groups of auxiliary groove widths and m groups of auxiliary groove depths according to an arithmetic progression column, taking 20 k and 10 m, and repeating the steps S4-S9;
s12: drawing a curve of THD of the air gap flux guide along with the change of the groove width and the groove depth of the auxiliary groove, wherein the specific curve is shown in figure 4;
s13: determining the auxiliary groove size:
the method for determining the auxiliary groove size comprises the following steps: determining the size of an auxiliary groove with minimum harmonic content of the motor according to the THD curve of the air gap flux guide, wherein the width of the auxiliary groove is 4.7mm when the harmonic content is minimum, and the depth of the auxiliary groove is 9.35mm;
according to the design method suitable for the auxiliary tank of the water-filled submersible motor, matlab establishes a mathematical model of air gap flux guide, and the size of the auxiliary tank is determined through parameterized analysis of the size of the auxiliary tank and analysis of a THD curve, so that compared with an initial scheme, the THD of the motor is reduced by 10%, and the method has guiding significance on the optimal design of the motor.
Claims (3)
1. The design method suitable for the water filling type submersible motor auxiliary tank is characterized by comprising the following steps of: the method comprises the following steps:
s1: calculating the air gap flux guide when the water-filled submersible motor is not grooved;
s2: calculating the air gap flux guide of the opening part of the slot when the stator of the water-filled submersible motor is not slotted and the rotor slot is equivalent to the open slot:
according to the formulaCalculating an air gap flux guide of the slot opening part when the water-filled submersible motor stator is not slotted and the rotor slot is equivalent to the open slot, wherein: delta 1 The equivalent groove depth of the rotor groove is the equivalent groove depth of the open groove after the rotor groove is equivalent to the open groove;
s3: calculating the equivalent groove width of the closed groove equivalent of the rotor of the water-filled submersible motor as an open groove:
according to formula b w ＝b s -2h s0 Water-filled diving with cotα calculationThe motor closed slot is equivalent to the equivalent slot width when the slot is an open slot, wherein: b w Is equivalent groove width b s Is the slot width of a closed slot, h s0 Is the slot bridge height, alpha is the angle of the auxiliary line;
s4: determining the initial size of the auxiliary groove:
the method for determining the initial size of the auxiliary groove comprises the following steps: the width of the auxiliary groove is more than twice the length of the motor air gap, is less than the width of the rotor groove, the height of the auxiliary groove is 1/m of the height of the rotor groove, and the m is 5-10;
s5: calculating the air gap flux guide at the notch when the auxiliary slot is equivalent to the open slot:
according to the formulaCalculating an air gap flux guide at a notch when the auxiliary groove of the water-filled submersible motor is equivalent to an open groove, wherein: delta 2 The equivalent groove depth of the auxiliary groove is the equivalent groove depth of the auxiliary groove after the auxiliary groove is equivalent to the opening groove;
s6: calculating the equivalent slot width when the closed auxiliary slot is equivalent to the open slot:
according to formula b w1 ＝b s1 -2h s01 The cotα calculates the equivalent slot width when the closed auxiliary slot of the water-filled submersible motor is equivalent to the open auxiliary slot, wherein: b w1 Is the equivalent groove width of the auxiliary groove, b s1 Is the groove width of the auxiliary groove, h s01 Is an auxiliary groove bridge height;
s7: establishing an air gap flux guide mathematical model with auxiliary grooves:
the method for establishing the mathematical model of the air gap flux guide with the auxiliary groove comprises the following steps: simulating the change waveform of the air gap flux by using a periodically-changed rectangular wave, carrying out per unit treatment on each part of the air gap flux calculated in the steps S1, S2 and S5, and taking the air gap flux as the amplitude of the rectangular wave, wherein the duty ratio corresponding to each part of the amplitude is obtained by the ratio of the rotor slot equivalent slot opening calculated in the step S4 and the auxiliary slot equivalent slot opening calculated in the step S6 to the rotor slot moment;
s8: performing two-dimensional Fourier decomposition on the air gap flux guide mathematical model;
s9: total harmonic distortion THD of air gap flux guide is calculated:
the method for calculating the total harmonic distortion THD of the air gap flux guide comprises the following steps: according to the formulaCalculating total harmonic distortion of the air gap flux guide, wherein: lambda (lambda) n Is the n-order harmonic amplitude, lambda of the air gap flux guide 1 Is the amplitude of the air gap flux guide fundamental wave;
s10: taking the auxiliary groove size in the step S5 as a reference, selecting k groups of auxiliary groove widths and m groups of auxiliary groove depths according to an arithmetic progression column, taking 10-20 k, taking 5-10 m, and repeating the steps S4-S9;
s12: drawing a curve of THD of the air gap flux guide along with the change of the groove width and the groove depth of the auxiliary groove;
s13: determining the auxiliary groove size:
based on the THD curve of the air gap flux guide, an auxiliary slot size is determined that minimizes the motor harmonic content.
2. The method for designing the auxiliary tank of the water-filled submersible motor according to claim 1, wherein:
in step S10, k is 20, and m is 10.
3. The method for designing the auxiliary tank of the water-filled submersible motor according to claim 1, wherein:
the maximum width of the auxiliary groove selected in the step S10 is not more than the width of the rotor groove, and the depth of the auxiliary groove is not more than the depth of the rotor groove.
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Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN206422612U (en) * | 2016-12-26 | 2017-08-18 | 合肥恒大江海泵业股份有限公司 | A kind of stator slot shape of Water-filled Type Submersible Motors |
| EP3661032A1 (en) * | 2018-11-28 | 2020-06-03 | Nidec Sole Motor Corporation S.r.l. | Brusshless permanent magnet electric motor for washing machines |
| CN113239593A (en) * | 2021-05-19 | 2021-08-10 | 合肥工业大学 | Design method suitable for optimizing efficiency of water-filled submersible motor |
| CN113765324A (en) * | 2021-08-30 | 2021-12-07 | 江苏大学 | Novel asymmetric modular permanent magnet auxiliary synchronous reluctance motor and vibration noise optimization method thereof |
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- 2022-01-27 CN CN202210101491.3A patent/CN114444308B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN206422612U (en) * | 2016-12-26 | 2017-08-18 | 合肥恒大江海泵业股份有限公司 | A kind of stator slot shape of Water-filled Type Submersible Motors |
| EP3661032A1 (en) * | 2018-11-28 | 2020-06-03 | Nidec Sole Motor Corporation S.r.l. | Brusshless permanent magnet electric motor for washing machines |
| CN113239593A (en) * | 2021-05-19 | 2021-08-10 | 合肥工业大学 | Design method suitable for optimizing efficiency of water-filled submersible motor |
| CN113765324A (en) * | 2021-08-30 | 2021-12-07 | 江苏大学 | Novel asymmetric modular permanent magnet auxiliary synchronous reluctance motor and vibration noise optimization method thereof |
Non-Patent Citations (1)
| Title |
|---|
| 李天元 ; 夏加宽 ; 龙宇航 ; 史世友 ; 王婧妍 ; .不同转子辅助槽对内置式永磁电机齿槽转矩的影响.微特电机.2019,(05),全文. * |
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