CN110187276B - Method for analyzing influence of harmonic waves on running state of three-phase induction motor - Google Patents

Method for analyzing influence of harmonic waves on running state of three-phase induction motor Download PDF

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CN110187276B
CN110187276B CN201910506073.0A CN201910506073A CN110187276B CN 110187276 B CN110187276 B CN 110187276B CN 201910506073 A CN201910506073 A CN 201910506073A CN 110187276 B CN110187276 B CN 110187276B
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phase induction
harmonic
induction motor
motor
torque
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CN110187276A (en
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刘贺
陈子辉
吴智影
刘勇浩
李辰盟
杨玺
叶伟玲
何兴华
倪惠浩
许巧云
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Guangdong Power Grid Co Ltd
Jiangmen Power Supply Bureau of Guangdong Power Grid Co Ltd
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Jiangmen Power Supply Bureau of Guangdong Power Grid Co Ltd
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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
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • 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
    • G01R31/34—Testing dynamo-electric machines
    • G01R31/343—Testing dynamo-electric machines in operation

Abstract

The invention relates to the operating stateThe technical field of analysis, and more particularly, to a method for analyzing the influence of harmonics on the operating state of a three-phase induction motor. The invention takes a three-phase induction motor as a research object, establishes a generator two-dimensional electromagnetic field model by utilizing finite element software, and obtains the efficiency eta of the three-phase induction motor as a dependent variable and the harmonic content UHCiThe air gap width delta and the torque change relative value delta T are fitting formulas of independent variables. The motor efficiency can be calculated more intuitively and accurately, and the method is more suitable for practical industrial application.

Description

Method for analyzing influence of harmonic waves on running state of three-phase induction motor
Technical Field
The invention relates to the technical field of running state analysis, in particular to an analysis method for the influence of harmonic waves on the running state of a three-phase induction motor.
Background
According to statistics, 60% of the annual generated energy in China is used for the motor, and 90% of the generated energy is consumed by the induction motor. The three-phase asynchronous motor is widely applied to the machinery for farming cultivation such as machine tools, water pumps, blowers and the like. Along with the development of power electronic technology, the problems of electric energy quality such as voltage distortion, harmonic waves and the like of a power grid are aggravated, so that the running stability and efficiency of the three-phase induction motor are reduced. Therefore, the influence of the harmonic waves on the operation efficiency of the three-phase induction motor is analyzed, and the method has important significance on how the efficiency and the stability of the three-phase induction motor are improved by electric energy.
Disclosure of Invention
The invention aims to solve the technical problems at least to a certain extent, provides an analysis method for the influence of harmonic waves on the running state of the three-phase induction motor, and can improve the efficiency and stability of the three-phase induction motor.
The technical scheme of the invention is as follows: the method for analyzing the influence of the harmonic waves on the running state of the three-phase induction motor comprises the following steps:
s1, establishing a coupling model of an electromagnetic field and a structural field intensity of a three-phase induction motor;
s2, analyzing main harmonic components in the three-phase induction motor, and selecting input harmonic voltage; simulating the running state of the three-phase induction motor to obtain required index data;
s3, analyzing the characteristics of the motor torque and the power when the power is supplied by different input power supply voltages obtained in the step S2, and researching the influence of harmonic waves on the running state of the three-phase induction motor;
s4, carrying out data processing fitting on the obtained data to obtain the efficiency eta, the harmonic type i and the harmonic content U of the three-phase induction motor under the same output capacityHCiThe air gap width delta and the torque variation delta T.
The invention relates to an analysis method for the influence of harmonic waves on the running state of a three-phase induction motor with different air gap widths and the same output capacity. The motor torque and power change of the three-phase induction motor in the input source containing harmonic waves are analyzed, and the motor efficiency eta, the harmonic wave type i and the harmonic wave content U under the conditions of different air gap widths delta and the same output capacity p are providedHCiThe method of (3). The method has important significance on improving the efficiency and stability of the three-phase induction motor.
Further, in step S1, the specific steps include:
s11, establishing 2D electromagnetic finite element models of the three-phase induction motor with different air gap widths and the same output power according to specific structural parameters of the three-phase induction motor;
s12, establishing three-phase induction motor 3D stator structure models with different air gap widths and the same output power according to the specific structural parameters of the three-phase induction motor;
s13, setting material parameters of the three-phase induction motor, establishing a coupling model of an electromagnetic field and a structural field intensity of the three-phase induction motor, and performing coupling simulation analysis of the electromagnetic field and the structural field.
Further, in step S2, the specific steps include:
s21, for the third harmonic V ═ 3, we can:
Figure BDA0002091880420000021
Figure BDA0002091880420000022
Figure BDA0002091880420000023
the 3 rd harmonic synthesized magnetomotive force can be obtained as follows:
Figure BDA0002091880420000024
the above formula shows that the 3 rd harmonic synthetic magnetomotive force of the three-phase winding is 0, and in the symmetrical three-phase motor, the multiple harmonic magnetomotive force of 3 has the same property, so that 9 th harmonic and 15 th harmonic do not exist in the synthetic magnetomotive force;
s22, according to analysis, harmonic waves influencing the three-phase induction motor are mainly harmonic waves of 5 th, 7 th and 11 th orders; the input voltage thus determined is:
Figure BDA0002091880420000025
Figure BDA0002091880420000026
Figure BDA0002091880420000027
in the formula of UHC0、UHC5、UHC7、UHC11The fundamental wave content and the 5 th, 7 th and 11 th harmonic content respectively;
harmonic content UHCiComprises the following steps:
Figure BDA0002091880420000028
in the above formula UhnIs n-th harmonic, UrmsIs effective value, i is harmonic kind;
s23, firstly, inputting single harmonic, analyzing the influence of the motor running state under the single harmonic, and comparing the influence degree of 5, 7 and 11 subharmonics on three-phase induction motors with different air gap widths and the same output power; and then inputting the multi-harmonic as a comparison group, and comparing the influence degree of the multi-harmonic and the single harmonic on the three-phase induction motor with different air gap widths and the same output power.
Further, in step S3, the specific steps include:
s31, inputting single harmonic wave to obtain a torque characteristic curve of the three-phase induction motor only containing fundamental wave and the single harmonic wave; then inputting multiple harmonics as a comparison group; according to the obtained torque characteristic curve of the three-phase induction motor, obtaining data by taking points after the motor runs stably:
the average value of the torque is:
Figure BDA0002091880420000031
wherein
Figure BDA0002091880420000032
Is the mean value of the torque, T1、T2ΛTnInstantaneous value of torque when the motor reaches steady state;
the torque peak-to-peak value is:
Tff＝Tmax-Tmin
wherein T ismax、TminMaximum torque and minimum torque;
the torque variation relative value is:
Figure BDA0002091880420000033
in the above formula
Figure BDA0002091880420000034
Is the mean value of the torque, TnIs rated torque;
s32, according to the obtained three-phase induction output power characteristic curve; then inputting multi-harmonic voltage as a comparison group; according to the obtained output power characteristic curve of the three-phase induction motor, taking points to obtain data after the motor runs stably:
the average value of electric power is:
Figure BDA0002091880420000035
in the above formula P1、P2、ΛPnThe instantaneous value of the electric power after the motor reaches a steady state;
the average value of the mechanical power is:
Figure BDA0002091880420000036
in the above formula P1、P2、ΛPnThe instantaneous value of the mechanical power after the motor reaches a steady state;
the motor efficiency is:
Figure BDA0002091880420000041
in the above formula pmech is the mechanical power of the motor, peleIs the input power of the motor.
Further, in step S4, the specific steps include:
s41, fitting a torque data curve by using multiple linear regression in MATLAB to obtain the motor efficiency eta under harmonic waves, the air gap width delta of the three-phase induction motor, the relative value delta T of the motor torque change and the input harmonic content UHCiThe fit between the equations is:
η＝β0+β1*UHC5+β2*UHC7+β3*UHC11+β4*ΔT+β5*δ
the fitting coefficients in the above formula are:
β0＝0.8893，β1＝-0.3492，β2＝-0.2040，β3＝-0.1268，β4＝-0.0058，β5＝-0.0075。
the confidence interval for the fit coefficient is:
Figure BDA0002091880420000042
further, in step S11, establishing different air gap widths in Maxwell finite element simulation software according to specific structural parameters of the three-phase induction motor;
in the step S12, different air gap widths are established in solid works design software according to specific structural parameters of the three-phase induction motor;
in the step S13, three-phase induction machine material parameters are set in the workbench finite element simulation software.
The present invention uses the software described above.
Compared with the prior art, the beneficial effects are: the invention takes a three-phase induction motor as a research object, establishes a two-dimensional electromagnetic field model of a generator by utilizing finite element software and obtains a three-phase induction motorEfficiency eta of induction motor is dependent variable and harmonic content U is usedHCiThe air gap width delta and the torque change relative value delta T are fitting formulas of independent variables. The motor efficiency can be calculated more intuitively and accurately, and the method is more suitable for practical industrial application.
Drawings
Fig. 1 is a schematic flow chart of an analysis method for the influence of harmonic waves on the operating state of a three-phase induction motor according to the present invention.
Fig. 2 is a model diagram of a 2D electromagnetic finite element of the three-phase induction motor of the present invention.
Fig. 3 is a torque diagram of the three-phase induction motor of the present invention with 2% and 10% harmonic content.
Fig. 4 is a diagram of the electric power of the three-phase induction motor of the present invention at 2% and 10% harmonic content.
Fig. 5 is a mechanical power diagram of the three-phase induction motor of the present invention with 2% and 10% harmonic content.
Fig. 6 is a torque comparison diagram of different air gap widths of the three-phase induction motor of the present invention.
Fig. 7 is a graph of efficiency versus harmonic content for a three-phase induction motor of the present invention.
Fig. 8 is a torque relative value-harmonic content diagram for a three-phase induction motor of the present invention.
Fig. 9 is a multivariate data fitting program diagram of the three-phase induction motor of the invention.
Fig. 10 is a data scatter plot of a three-phase induction motor according to the present invention.
Fig. 11 is a diagram of abnormal point detection of fitting data of the three-phase induction motor of the present invention.
Detailed Description
The drawings are for illustrative purposes only and are not to be construed as limiting the patent; for the purpose of better illustrating the embodiments, certain features of the drawings may be omitted, enlarged or reduced, and do not represent the size of an actual product; it will be understood by those skilled in the art that certain well-known structures in the drawings and descriptions thereof may be omitted. The positional relationships depicted in the drawings are for illustrative purposes only and are not to be construed as limiting the present patent.
Step S1, as shown in fig. 1, establishing a three-phase induction motor 2D electromagnetic finite element model with different air gap widths and the same output capacity according to the specific structure parameters of the three-phase induction motor in Maxwell finite element simulation software. And establishing a three-phase induction motor 3D stator structure model with different air gap widths and the same output capacity according to the specific structural parameters of the three-phase induction motor in solid works design software. Setting three-phase induction motor material parameters in the workbench finite element simulation software, establishing a coupling model of an electromagnetic field and a structural field intensity of the three-phase induction motor, and performing coupling simulation analysis of the electromagnetic field and the structural field.
Step S2, the specific steps are as follows: for the third harmonic V ═ 3, we can get:
Figure BDA0002091880420000051
Figure BDA0002091880420000052
Figure BDA0002091880420000053
the 3 rd harmonic synthesized magnetomotive force can be obtained as follows:
Figure BDA0002091880420000061
the above formula shows that the 3 rd harmonic synthetic magnetomotive force of the three-phase winding is 0, and in the symmetrical three-phase motor, the multiple harmonic magnetomotive force of 3 has the same property, so that 9 th harmonic and 15 th harmonic do not exist in the synthetic magnetomotive force at night.
And step S3, respectively inputting voltages with harmonic content of 2% -10% under single harmonic, obtaining data by taking points after the motor operates stably according to the obtained torque characteristic curve (figure 3) of the three-phase induction motor, inputting multi-harmonic voltages, and obtaining data by taking points after the motor operates stably according to the obtained torque characteristic curve of the three-phase induction motor. And (3) processing data:
the average value of the torque is:
Figure BDA0002091880420000062
wherein
Figure BDA0002091880420000063
Is the mean value of the torque, T1、T2ΛTnIs the instantaneous value of the torque at which the motor reaches steady state.
The torque peak-to-peak value is:
Tff＝Tmax-Tmin
wherein T ismax、TminMaximum torque and minimum torque.
The torque variation relative value is:
Figure BDA0002091880420000064
in the above formula
Figure BDA0002091880420000065
Is the mean value of the torque, TnIs the rated torque.
Respectively inputting voltage with harmonic content of 2% -10% under single harmonic, obtaining data by taking points after the motor operates stably according to the obtained output power characteristic curve (figures 6 and 7) of the three-phase induction motor, then inputting multi-harmonic voltage, and obtaining data by taking points after the motor operates stably according to the obtained output power characteristic curve of the three-phase induction motor. And (3) processing data:
the average value of electric power is:
Figure BDA0002091880420000066
in the above formula P1、P2、ΛPnIs the instantaneous value of the electrical power after the motor has reached a steady state.
The average value of the mechanical power is:
Figure BDA0002091880420000071
in the above formula P1、P2、ΛPnIs the instantaneous value of the mechanical power after the motor has reached a steady state.
The motor efficiency is:
Figure BDA0002091880420000072
in the above formula pmachMechanical power of the motor, peleIs the input power of the motor.
Step S4, fitting the torque data curve by using multiple linear regression in MATLAB (graph)
8) Then, the motor efficiency eta, the air gap width delta of the three-phase induction motor, the relative value delta T of the motor torque change and the input harmonic content U under the condition of single harmonic wave can be obtainedHCiThe fit between the equations is (applicable under single and multiple harmonics):
η＝β0+β1*UHC5+β2*UHC7+β3*UHC11+β4*ΔT+β5*δ
the fitting coefficients in the above formula are:
β0＝0.8893，β1＝-0.3492，β2＝-0.2040，β3＝-0.1268，β4＝-0.0058，β5＝-0.0075。
the confidence interval for the fit coefficient is:
Figure BDA0002091880420000073
the invention takes a three-phase induction motor as a research object, establishes a generator two-dimensional electromagnetic field model by utilizing finite element software, and obtains the efficiency eta of the three-phase induction motor as a dependent variable and the harmonic type i and the harmonic content UHCiGap width delta, torque variationThe relative value Δ T is a fitting formula of the independent variable. The motor efficiency can be calculated more intuitively and accurately, and the method is more suitable for practical industrial application.
It should be understood that the above-described embodiments of the present invention are merely examples for clearly illustrating the present invention, and are not intended to limit the embodiments of the present invention. Other variations and modifications will be apparent to persons skilled in the art in light of the above description. And are neither required nor exhaustive of all embodiments. Any modification, equivalent replacement, and improvement made within the spirit and principle of the present invention should be included in the protection scope of the claims of the present invention.

Claims (2)

1. The method for analyzing the influence of the harmonic waves on the running state of the three-phase induction motor is characterized by comprising the following steps of:
s1, establishing a coupling model of an electromagnetic field and a structural field intensity of a three-phase induction motor;
s2, analyzing main harmonic components in the three-phase induction motor, and selecting input harmonic voltage; simulating the running state of the three-phase induction motor to obtain required index data;
s3, analyzing the characteristics of the motor torque and the power when the power is supplied by different input power supply voltages obtained in the step S2, and researching the influence of harmonic waves on the running state of the three-phase induction motor;
s4, carrying out data processing fitting on the obtained data to obtain the efficiency eta, the harmonic type i and the harmonic content U of the three-phase induction motor under the same output capacityHCiA calculation formula of the air gap width delta and the torque change delta T;
in step S1, the specific steps are:
s11, establishing 2D electromagnetic finite element models of the three-phase induction motor with different air gap widths and the same output power according to specific structural parameters of the three-phase induction motor;
s12, establishing three-phase induction motor 3D stator structure models with different air gap widths and the same output power according to the specific structural parameters of the three-phase induction motor;
s13, setting material parameters of the three-phase induction motor, establishing a coupling model of an electromagnetic field and a structural field intensity of the three-phase induction motor, and performing coupling simulation analysis of the electromagnetic field and the structural field;
in step S2, the specific steps are:
s21, for the third harmonic V ═ 3, we can:
Figure FDA0002783745080000011
Figure FDA0002783745080000012
Figure FDA0002783745080000013
the 3 rd harmonic synthesized magnetomotive force can be obtained as follows:
Figure FDA0002783745080000014
the above formula shows that the 3 rd harmonic synthetic magnetomotive force of the three-phase winding is 0, and in the symmetrical three-phase motor, the multiple harmonic magnetomotive force of 3 has the same property, so that 9 th and 15 th harmonics do not exist in the synthetic magnetomotive force;
s22, according to analysis, harmonic waves influencing the three-phase induction motor are mainly harmonic waves of 5 th, 7 th and 11 th orders; the input voltage thus determined is:
Figure FDA0002783745080000015
Figure FDA0002783745080000016
Figure FDA0002783745080000017
in the formula of UHC0、UHC5、UHC7、UHC11The fundamental wave content and the 5 th, 7 th and 11 th harmonic content respectively;
harmonic content UHCiComprises the following steps:
Figure FDA0002783745080000021
in the above formula UhnIs n-th harmonic, UrmsIs effective value, i is harmonic kind;
s23, firstly, inputting single harmonic, analyzing the influence of the motor running state under the single harmonic, and comparing the influence degree of 5, 7 and 11 subharmonics on three-phase induction motors with different air gap widths and the same output power; inputting multiple harmonics as a control group, and comparing the influence degrees of the multiple harmonics and the single harmonic on three-phase induction motors with different air gap widths and the same output power;
in step S3, the specific steps are:
s31, inputting single harmonic wave to obtain a torque characteristic curve of the three-phase induction motor only containing fundamental wave and the single harmonic wave; then inputting multiple harmonics as a comparison group; according to the obtained torque characteristic curve of the three-phase induction motor, obtaining data by taking points after the motor runs stably:
the average value of the torque is:
Figure FDA0002783745080000022
wherein
Figure FDA0002783745080000023
Is the mean value of the torque, T1、T2…TnInstantaneous value of torque when the motor reaches steady state;
the torque peak-to-peak value is:
Tff＝Tmax-Tmin
whereinTmax、TminMaximum torque and minimum torque;
the torque variation relative value is:
Figure FDA0002783745080000024
in the above formula
Figure FDA0002783745080000025
Is the mean value of the torque, TnIs rated torque;
s32, according to the obtained three-phase induction output power characteristic curve; then inputting multi-harmonic voltage as a comparison group; according to the obtained output power characteristic curve of the three-phase induction motor, taking points to obtain data after the motor runs stably:
the average value of electric power is:
Figure FDA0002783745080000026
in the above formula P1、P2、…PnThe instantaneous value of the electric power after the motor reaches a steady state;
the average value of the mechanical power is:
Figure FDA0002783745080000027
in the above formula P1、P2、…PnThe instantaneous value of the mechanical power after the motor reaches a steady state;
the motor efficiency is:
Figure FDA0002783745080000031
in the above formula pmechMechanical power of the motor, peleIs the input power of the motor;
in step S4, the specific steps are:
s41, fitting a torque data curve by using multiple linear regression in MATLAB to obtain the motor efficiency eta under harmonic waves, the air gap width delta of the three-phase induction motor, the relative value delta T of the motor torque change and the input harmonic content UHCiThe fit between the equations is:
η＝β0+β1*UHC5+β2*UHC7+β3*UHC11+β4*ΔT+β5*δ
the fitting coefficients in the above formula are:
β0＝0.8893，β1＝-0.3492，β2＝-0.2040，β3＝-0.1268，β4＝-0.0058，β5＝-0.0075。
2. a method of analysing the effect of harmonics on the operating conditions of a three-phase induction machine according to claim 1, characterised in that: in the step S11, establishing different air gap widths according to specific structural parameters of the three-phase induction motor in Maxwell finite element simulation software;
in the step S12, different air gap widths are established in solid works design software according to specific structural parameters of the three-phase induction motor;
in the step S13, three-phase induction machine material parameters are set in the workbench finite element simulation software.
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