CN110187276A - The analysis method that harmonic wave influences the operating status of three-phase induction motor - Google Patents
The analysis method that harmonic wave influences the operating status of three-phase induction motor Download PDFInfo
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- CN110187276A CN110187276A CN201910506073.0A CN201910506073A CN110187276A CN 110187276 A CN110187276 A CN 110187276A CN 201910506073 A CN201910506073 A CN 201910506073A CN 110187276 A CN110187276 A CN 110187276A
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R23/00—Arrangements for measuring frequencies; Arrangements for analysing frequency spectra
- G01R23/16—Spectrum analysis; Fourier analysis
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- G—PHYSICS
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- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
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Abstract
The present invention relates to the technical field of running state analysis, the analysis method that the operating status of three-phase induction motor is influenced more particularly, to harmonic wave.The present invention establishes generator two-dimensional electromagnetic field model using three-phase induction motor as research object, using finite element software, has obtained using the efficiency eta of three-phase induction motor as dependent variable, with harmonic content UHCi, width of air gap δ, torque variation relative value Δ T be independent variable fitting formula.Can it is more intuitive, accurately calculate electric efficiency, be more suitable in practical application in industry.
Description
Technical field
The present invention relates to the technical fields of running state analysis, more particularly, to harmonic wave to the fortune of three-phase induction motor
The analysis method that row state influences.
Background technique
According to statistics in the every annual electricity generating capacity in present China 60% be used for motor, and wherein 90% electricity be induction machine consumption.
Threephase asynchronous machine is widely used in the farming of the agricultural productions such as lathe, water pump, air blower mechanically.It is sent out with power electronic technique
Exhibition, the power quality problems such as voltage distortion, harmonic wave of power grid aggravation, causes under three-phase induction motor operation stability and efficiency
Drop.So influence of the analysis harmonic wave to three-phase induction motor operational efficiency, for electric energy how the effect of lift three-phase induction machine
Rate, stability are of great significance.
Summary of the invention
The present invention is directed to solve above-mentioned technical problem at least to a certain extent, harmonic wave is provided to the fortune of three-phase induction motor
Row state influence analysis method, can lift three-phase induction machine efficiency, stability.
The technical scheme is that the analysis method that harmonic wave influences the operating status of three-phase induction motor, wherein packet
Include following steps:
S1. three-phase induction motor electromagnetic field and structure field strength coupling model are established；
S2. the major harmonic ingredient in three-phase induction motor is analyzed, input harmonics voltage is selected；Emulate three-phase induction motor
Operating status, obtain needed for achievement data；
Motor torque, power characteristic when the different input supply voltages power supply that S3. analytical procedure S2 is obtained, study harmonic wave pair
The influence of the operating status of three-phase induction motor；
S4. data processing fitting is carried out to resulting data, obtain under identical output capacity three-phase induction motor efficiency eta with
Harmonic wave type i, harmonic content UHCi, width of air gap δ and torque change Delta T calculation formula.
The present invention is a kind of harmonic wave to different air gap width, the operation shape of the three-phase induction motor with identical output capacity
The analysis method that state influences.Motor torque of the three-phase induction motor in the input source containing harmonic wave and changed power have been carried out point
Analysis proposes electric efficiency η and harmonic wave type i, harmonic content U under with different air gap width δ, identical output capacity pHCi's
Calculation method.For how efficiency, the stability of lift three-phase induction machine are of great significance.
Further, in the step S1, specifically:
S11. different air gap width is established with three-phase induction motor specific structure parameter, the three-phase with identical output power
Induction machine 2D electromagnetic finite meta-model；
S12. different air gap width is established with three-phase induction motor specific structure parameter, the three-phase with identical output power
Induction machine 3D stator structure model；
S13., three-phase induction motor material parameter is set, three-phase induction motor electromagnetic field and structure field strength coupled mode are established
Type, carries out electromagnetic field and structure field coupling Simulation is analyzed.
Further, in the step S2, specifically:
S21. triple-frequency harmonics V=3 can be obtained:
It can thus be concluded that 3 subharmonic synthesize magnetomotive force are as follows:
Above formula shows that the 3 subharmonic synthesis magnetomotive force of three-phase windings is 0, in symmetrical three-phase motor, 3 multiple subharmonic
Magnetomotive force also has same nature, then synthesizing night in magnetomotive force, there is no 9,15 subharmonic；
S22. according to analysis, the harmonic wave for influencing three-phase induction motor is mainly 5,7,11 subharmonic；The input thereby determined that
Voltage are as follows:
U in formulaHC0、UHC5、UHC7、UHC11Respectively fundamental wave content and 5,7,11 subharmonic contents；
Harmonic content UHCiAre as follows:
U in above formulahnFor nth harmonic, UrmsFor virtual value, i is harmonic wave type；
S23. single harmonic is inputted first, analyzes the influence of the motor operating state under single harmonic, and compares 5,7,11
Subharmonic is to different air gap width, the three-phase induction motor influence degree with identical output power；Multiple-harmonic conduct is inputted again
Control group compares multiple-harmonic and single harmonic to different air gap width, and the three-phase induction motor with identical output power influences
Degree.
Further, in the step S3, specifically:
S31. single harmonic component is inputted first, and three-phase induction motor torque characteristics is bent when can must contain only fundamental wave and single harmonic component
Line；Multiple-harmonic is inputted again as a control group；According to resulting three-phase induction motor torque characteristic curve, after motor operation is stablized
Take an acquisition data:
Average of torque are as follows:
WhereinFor average of torque, T1、T2ΛTnThe instantaneous value of torque when reaching stable state for motor；
Torque peak-to-peak value are as follows:
Tff=Tmax-Tmin
Wherein Tmax、TminFor torque capacity and minimum torque；
Torque changes relative value are as follows:
In above formulaFor average of torque, TnFor nominal torque；
S32. according to resulting three-phase induction characteristics of output power curve；Multi resonant wave voltage is inputted again as a control group；Root
According to resulting three-phase induction motor characteristics of output power curve, an acquisition data are taken after motor operation is stablized:
Electrical power mean values are as follows:
P in above formula1、P2、ΛPnReach the instantaneous value of electrical power after stable state for motor；
Mechanical output average value are as follows:
P in above formula1、P2、ΛPnReach the instantaneous value of mechanical output after stable state for motor；
Electric efficiency are as follows:
P in above formulamecH is the mechanical output of motor, peleFor power input to a machine.
Further, in the step S4, specifically:
S41. by being fitted using multiple linear regression to torque data curve in MATLAB, then it can be concluded that harmonic wave
The width of air gap δ of lower electric efficiency η and three-phase induction motor, motor torque change relative value Δ T, input harmonics content UHCiIt
Between fitting formula are as follows:
η=β0+β1*UHC5+β2*UHC7+β3*UHC11+β4*ΔT+β5*δ
Fitting coefficient in above formula are as follows:
β0=0.8893, β1=-0.3492, β2=-0.2040, β3=-0.1268, β4=-0.0058, β5=-0.0075.
The confidence interval of fitting coefficient are as follows:
Further, specific with three-phase induction motor in Maxwell finite element emulation software in the step S11
Structural parameters establish different air gap width；
In the step S12, with the foundation of three-phase induction motor specific structure parameter in solid works design software
Different air gap width；
In the step S13, three-phase induction motor material parameter is set in workbench finite element emulation software.
The present invention uses above-mentioned software.
Compared with prior art, beneficial effect is: the present invention utilizes finite element using three-phase induction motor as research object
Software establishes generator two-dimensional electromagnetic field model, has obtained using the efficiency eta of three-phase induction motor as dependent variable, with harmonic content
UHCi, width of air gap δ, torque variation relative value Δ T be independent variable fitting formula.Can it is more intuitive, accurately calculate motor
Efficiency is more suitable in practical application in industry.
Detailed description of the invention
Fig. 1 is the analysis method flow diagram that harmonic wave of the present invention influences the operating status of three-phase induction motor.
Fig. 2 is three-phase induction motor 2D electromagnetic finite meta-model diagram of the present invention.
Fig. 3 is turning moment diagram under three-phase induction motor 2% of the present invention, 10% harmonic content.
Fig. 4 is electrical power figure under three-phase induction motor 2% of the present invention, 10% harmonic content.
Fig. 5 is mechanical output figure under three-phase induction motor 2% of the present invention, 10% harmonic content.
Fig. 6 is three-phase induction motor different air gap width torque versus of the present invention figure.
Fig. 7 is three-phase induction motor efficiency-harmonic content figure of the present invention.
Fig. 8 is three-phase induction motor torque relative value-harmonic content figure of the present invention.
Fig. 9 is three-phase induction motor multivariate data fit procedure figure of the present invention.
Figure 10 is three-phase induction motor data Scatter plot figure of the present invention.
Figure 11 is three-phase induction motor fitting data abnormal point mapping of the present invention.
Specific embodiment
The attached figures are only used for illustrative purposes and cannot be understood as limitating the patent；In order to better illustrate this embodiment, attached
Scheme certain components to have omission, zoom in or out, does not represent the size of actual product；To those skilled in the art,
The omitting of some known structures and their instructions in the attached drawings are understandable.Being given for example only property of positional relationship is described in attached drawing
Illustrate, should not be understood as the limitation to this patent.
Step S1, step is as shown in Figure 1, with three-phase induction motor specific structure in Maxwell finite element emulation software
Parameter establishes different air gap width, the three-phase induction motor 2D electromagnetic finite meta-model with identical output capacity.In solid
Different air gap width is established with three-phase induction motor specific structure parameter in works design software, with identical output capacity
Three-phase induction motor 3D stator structure model.Three-phase induction motor material is arranged in workbench finite element emulation software to join
Number establishes three-phase induction motor electromagnetic field and structure field strength coupling model, carries out electromagnetic field and structure field coupling Simulation is analyzed.
Step S2, specific step is as follows: triple-frequency harmonics V=3 can be obtained:
It can thus be concluded that 3 subharmonic synthesize magnetomotive force are as follows:
Above formula shows that the 3 subharmonic synthesis magnetomotive force of three-phase windings is 0, in symmetrical three-phase motor, 3 multiple subharmonic
Magnetomotive force also has same nature, then synthesizing night in magnetomotive force, there is no 9,15 subharmonic.
Step S3, the voltage that harmonic content is 2%-10% under single harmonic component is inputted respectively, according to resulting three-phase induction
Motor torque characteristic curve (Fig. 3) takes an acquisition data after motor operation is stablized, then inputs multi resonant wave voltage, according to gained
Three-phase induction motor torque characteristic curve, taken after motor operation is stablized and obtain a data.Data are handled:
Average of torque are as follows:
WhereinFor average of torque, T1、T2ΛTnThe instantaneous value of torque when reaching stable state for motor.
Torque peak-to-peak value are as follows:
Tff=Tmax-Tmin
Wherein Tmax、TminFor torque capacity and minimum torque.
Torque changes relative value are as follows:
In above formulaFor average of torque, TnFor nominal torque.
The voltage that harmonic content is 2%-10% under single harmonic component is inputted respectively, is exported according to resulting three-phase induction motor
Power characteristic (Fig. 6,7) takes an acquisition data after motor operation is stablized, then inputs multi resonant wave voltage, according to resulting
Three-phase induction motor characteristics of output power curve takes an acquisition data after motor operation is stablized.Data are handled:
Electrical power mean values are as follows:
P in above formula1、P2、ΛPnReach the instantaneous value of electrical power after stable state for motor.
Mechanical output average value are as follows:
P in above formula1、P2、ΛPnReach the instantaneous value of mechanical output after stable state for motor.
Electric efficiency are as follows:
P in above formulamachFor the mechanical output of motor, peleFor power input to a machine.
Step S4, by being fitted (figure to torque data curve using multiple linear regression in MATLAB
8), then it can be concluded that the width of air gap δ of electric efficiency η and three-phase induction motor, motor torque become under single harmonic
Change relative value Δ T, input harmonics content UHCiBetween fitting formula be (be suitable for single harmonic and multiple-harmonic under):
η=β0+β1*UHC5+β2*UHC7+β3*UHC11+β4*ΔT+β5*δ
Fitting coefficient in above formula are as follows:
β0=0.8893, β1=-0.3492, β2=-0.2040, β3=-0.1268, β4=-0.0058, β5=-0.0075.
The confidence interval of fitting coefficient are as follows:
The present invention establishes generator two-dimensional electromagnetic field mould using three-phase induction motor as research object, using finite element software
Type has been obtained using the efficiency eta of three-phase induction motor as dependent variable, with harmonic wave type i, harmonic content UHCi, width of air gap δ, torque
Change the fitting formula that relative value Δ T is independent variable.Can it is more intuitive, accurately calculate electric efficiency, be more suitable for reality
In industrial application.
Obviously, the above embodiment of the present invention be only to clearly illustrate example of the present invention, and not be pair
The restriction of embodiments of the present invention.For those of ordinary skill in the art, may be used also on the basis of the above description
To make other variations or changes in different ways.There is no necessity and possibility to exhaust all the enbodiments.It is all this
Made any modifications, equivalent replacements, and improvements etc., should be included in the claims in the present invention within the spirit and principle of invention
Protection scope within.
Claims (6)
1. the analysis method that harmonic wave influences the operating status of three-phase induction motor, which comprises the following steps:
S1. three-phase induction motor electromagnetic field and structure field strength coupling model are established；
S2. the major harmonic ingredient in three-phase induction motor is analyzed, input harmonics voltage is selected；Emulate the fortune of three-phase induction motor
Row state, achievement data needed for obtaining；
Motor torque, power characteristic when the different input supply voltages power supply that S3. analytical procedure S2 is obtained, study harmonic wave to three-phase
The influence of the operating status of induction machine；
S4. data processing fitting is carried out to resulting data, obtains three-phase induction motor efficiency eta and harmonic wave under identical output capacity
Type i, harmonic content UHCi, width of air gap δ and torque change Delta T calculation formula.
2. the analysis method that harmonic wave according to claim 1 influences the operating status of three-phase induction motor, feature exist
In: in the step S1, specifically:
S11. different air gap width is established with three-phase induction motor specific structure parameter, the three-phase induction with identical output power
Motor 2D electromagnetic finite meta-model；
S12. different air gap width is established with three-phase induction motor specific structure parameter, the three-phase induction with identical output power
Motor 3D stator structure model；
S13., three-phase induction motor material parameter is set, three-phase induction motor electromagnetic field and structure field strength coupling model are established, into
Row electromagnetic field and structure field coupling Simulation are analyzed.
3. the analysis method that harmonic wave according to claim 1 influences the operating status of three-phase induction motor, feature exist
In: in the step S2, specifically:
S21. triple-frequency harmonics V=3 can be obtained:
It can thus be concluded that 3 subharmonic synthesize magnetomotive force are as follows:
f3(α, t)=fA3(α,t)+fB3(α,t)+fC3(α,t)
=Fφ3cos3α[sinωt+sin(ωt-120°)+sin(ωt-240°)]
=0
Above formula shows that the 3 subharmonic synthesis magnetomotive force of three-phase windings is 0, and in symmetrical three-phase motor, 3 multiple subharmonic magnetic is dynamic
Gesture also has same nature, then synthesizing night in magnetomotive force, there is no 9,15 subharmonic；
S22. according to analysis, the harmonic wave for influencing three-phase induction motor is mainly 5,7,11 subharmonic；The input voltage thereby determined that
Are as follows:
U in formulaHC0、UHC5、UHC7、UHC11Respectively fundamental wave content and 5,7,11 subharmonic contents；
Harmonic content UHCiAre as follows:
U in above formulahnFor nth harmonic, UrmsFor virtual value, i is harmonic wave type；
S23. single harmonic is inputted first, analyzes the influence of the motor operating state under single harmonic, and compares 5, and 7,11 times humorous
Wave is to different air gap width, the three-phase induction motor influence degree with identical output power；Multiple-harmonic is inputted again as control
Group compares multiple-harmonic and single harmonic to different air gap width, has the three-phase induction motor influence degree of identical output power.
4. the analysis method that harmonic wave according to claim 1 influences the operating status of three-phase induction motor, feature exist
In: in the step S3, specifically:
S31. single harmonic component, three-phase induction motor torque characteristic curve when can must contain only fundamental wave and single harmonic component are inputted first；Again
Input multiple-harmonic as a control group；According to resulting three-phase induction motor torque characteristic curve, taken a little after motor operation is stablized
Obtain data:
Average of torque are as follows:
WhereinFor average of torque, T1、T2ΛTnThe instantaneous value of torque when reaching stable state for motor；
Torque peak-to-peak value are as follows:
Tff=Tmax-Tmin
Wherein Tmax、TminFor torque capacity and minimum torque；
Torque changes relative value are as follows:
In above formulaFor average of torque, TnFor nominal torque；
S32. according to resulting three-phase induction characteristics of output power curve；Multi resonant wave voltage is inputted again as a control group；According to institute
The three-phase induction motor characteristics of output power curve obtained takes an acquisition data after motor operation is stablized:
Electrical power mean values are as follows:
P in above formula1、P2、ΛPnReach the instantaneous value of electrical power after stable state for motor；
Mechanical output average value are as follows:
P in above formula1、P2、ΛPnReach the instantaneous value of mechanical output after stable state for motor；
Electric efficiency are as follows:
P in above formulamechFor the mechanical output of motor, peleFor power input to a machine.
5. the analysis method that harmonic wave according to claim 1 influences the operating status of three-phase induction motor, feature exist
In: in the step S4, specifically:
S41. by being fitted using multiple linear regression to torque data curve in MATLAB, then it can be concluded that electric under harmonic wave
The width of air gap δ of engine efficiency η and three-phase induction motor, motor torque change relative value Δ T, input harmonics content UHCiBetween
Fitting formula are as follows:
η=β0+β1*UHC5+β2*UHC7+β3*UHC11+β4*ΔT+β5*δ
Fitting coefficient in above formula are as follows:
β0=0.8893, β1=-0.3492, β2=-0.2040, β3=-0.1268, β4=-0.0058, β5=-0.0075.
6. the analysis method that harmonic wave according to claim 2 influences the operating status of three-phase induction motor, feature exist
In: in the step S11, established not in Maxwell finite element emulation software with three-phase induction motor specific structure parameter
Same width of air gap；
In the step S12, difference is established with three-phase induction motor specific structure parameter in solid works design software
Width of air gap；
In the step S13, three-phase induction motor material parameter is set in workbench finite element emulation software.
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