CN114662413B - Intelligent inversion optimization method for transmission chain system - Google Patents

Intelligent inversion optimization method for transmission chain system Download PDF

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CN114662413B
CN114662413B CN202210566017.8A CN202210566017A CN114662413B CN 114662413 B CN114662413 B CN 114662413B CN 202210566017 A CN202210566017 A CN 202210566017A CN 114662413 B CN114662413 B CN 114662413B
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林娉婷
卜凡
刘晓
黄守道
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Abstract

An intelligent inversion optimization method for a transmission chain system comprises the steps of carrying out modeling calculation on electromagnetic response of the transmission chain system under an SMC-SVPWM sliding mode control algorithm, utilizing the model to calculate test sample response generated under an improved Latin hypercube sampling method, and establishing an intelligent inversion Gaussian random process optimization model based on target search, wherein the model carries out inversion iteration by taking transmission chain efficiency as a target so as to improve the precision of the model; in order to ensure the high reliability of the transmission chain system, namely reduce the fluctuation of the output torque of the transmission chain, the efficiency and the torque fluctuation are optimized by adopting a multi-objective optimization algorithm based on range selection, and the high-reliability collaborative optimization design facing the transmission chain system of the large-scale offshore wind power equipment is realized.

Description

Intelligent inversion optimization method for transmission chain system
Technical Field
The invention relates to the technical field of transmission chains, in particular to an intelligent inversion optimization method for a transmission chain system.
Background
In the application of large offshore wind turbines in deep and open sea, the design of high reliability and high efficiency of a transmission chain system of a direct-drive permanent magnet wind turbine still has larger theoretical blank and manufacturing difficulty. The reliability of a transmission chain directly influences the running state and the maintenance cost of the whole unit, and the efficiency directly influences the utilization efficiency of ocean resources and energy resources in China; therefore, the optimal design of the transmission chain system has important significance for the development and utilization of offshore resources in China.
The transmission chain system mainly comprises two parts, namely a converter and a generator, modeling analysis is mainly considered for each part of the transmission chain system in the optimization design process, the multi-physical-field cross coupling effect among the parts is considered, and optimization design is developed aiming at the efficiency maximization of the system while the reliability and the stability are not influenced.
In order to optimize the maximum efficiency of the drive chain system, people develop an optimized design for the generator part, and although the optimized efficiency of the drive chain can be improved to a certain extent, the following disadvantages still exist:
(1) the actual power supply of the generator is not considered as a PWM waveform, and only the optimal design of the generator under an ideal sinusoidal power supply waveform is considered, so that the optimal design and application of an actual transmission chain system are difficult to fit with by the optimization method.
(2) By adopting the traditional fitting agent model, such as polynomial fitting, neural network prediction and other methods, the mathematical logic relationship of high interaction and high-order nonlinearity of efficiency and optimization variables is difficult to accurately establish, and the accuracy of the established model is low.
(3) In the prior art, when optimization design is performed, optimization design is often performed on an individual generator, that is, a power supply mode of the generator is considered to be three-phase sine waveform power supply, and a power supply mode of a motor in an actual drive chain system is PWM (pulse width modulation) waveform. The motor runs under PWM control waveform in the actual operation process promptly, and its electromagnetic property all has great change under comparing the ideal power supply waveform with mechanical properties, and specific change has: the increase of electromagnetic loss, the increase of loss of power elements such as IGBT, the reduction of service life, the increase of thermal stress, the increase of temperature rise and the like. Therefore, the design optimization scheme of the generator is designed optimally without considering the actual operation condition of the generator, the error from the actual design scheme is often large, and the design index is difficult to achieve.
(4) In the prior art, when an agent model is established, a traditional fitting model such as a polynomial fitting model, a neural network and other models is often adopted, and even under the condition that a PWM (pulse-width modulation) control waveform at the converter side is not considered, a plurality of physical fields are often influenced between optimization targets such as efficiency and torque and optimally designed motor structure variables, and the mathematical relationship of the transmission chain system has the characteristics of high interactivity, high-order nonlinearity and the like; therefore, the traditional agent model is difficult to learn the responsible mathematical relationship through the data sample. After the influence of the converter side on the whole system is considered, the mathematical relation is more complex, and the accuracy of the model is often difficult to guarantee.
Disclosure of Invention
The invention aims to solve the technical problem of providing an intelligent inversion optimization method of a transmission chain system,
in order to solve the technical problem, the invention adopts the following technical scheme:
an intelligent inversion optimization design method for a transmission chain system comprises the following steps;
s1, performing modeling calculation on electromagnetic response of a transmission chain system under an SMC-SVPWM sliding mode control algorithm to obtain the overall efficiency of the transmission chain system under the SMC-SVPWM sliding mode control algorithm;
s2, selecting the length variable of the permanent magnet on the basis of S1
Figure 165976DEST_PATH_IMAGE001
Width, width
Figure 512643DEST_PATH_IMAGE002
Tooth space parameters
Figure 738220DEST_PATH_IMAGE003
To optimize the variables; establishing a Morris random sampling matrix of motor parameters, calculating the electromagnetic response of a sample by an S1 modeling calculation method, carrying out primary effect analysis on the motor parameters to quantitatively measure the sensitivity of each parameter and the interactivity between the parameters, establishing an orthogonal test table of variables by a Taguchi method, carrying out signal-to-noise ratio analysis on the orthogonal test table, and preliminarily screening out the sensitive variables of the motor;
s3, selecting the length variable of the permanent magnet through S2
Figure 828535DEST_PATH_IMAGE001
Width, width
Figure 321702DEST_PATH_IMAGE002
Tooth space parameters
Figure 308113DEST_PATH_IMAGE004
For sensitive variables, BS1=4.5mm, HS1 was also determined=1.7mm;
Quantitatively analyzing the influence proportion of each variable on the efficiency of the transmission chain, carrying out variance analysis on the influence proportion, and calculating the variance value of each variable;
finally, the elementary effect and the analysis of variance are combined for use, the difference between the horizontal means of one or more factors is checked, and the variable with larger average value of the elementary effect and larger amplitude change in the analysis of variance is selected as a sensitive variable;
s4, generating a sampling scheme by adopting a Latin hypercube sampling scheme with higher uniformity according to the sensitive variable in S3; the sampling scheme comprises the following steps:
firstly, sampling by randomly generating different hyper-Latin cubes with 6 dimensions and 120 sample points;
establishing a distance norm and score function of two spatial points for the established Latin hypercube sampling scheme:
Figure 348881DEST_PATH_IMAGE005
; (1)
Figure 226576DEST_PATH_IMAGE006
; (2)
in the formula (I), the compound is shown in the specification,
Figure 590562DEST_PATH_IMAGE007
is the spatial norm between the two samples,
Figure 967447DEST_PATH_IMAGE008
is a norm of a sample
Figure 416883DEST_PATH_IMAGE007
The number of (2);
Figure 98269DEST_PATH_IMAGE009
the parameters are calculated for the distance and,
Figure 582340DEST_PATH_IMAGE010
is to be treatedThe parameters are optimized, and the parameters are optimized,
Figure 192444DEST_PATH_IMAGE011
is as follows
Figure 863597DEST_PATH_IMAGE012
A first sample of
Figure 614253DEST_PATH_IMAGE013
The number of the variables is one,
Figure 687251DEST_PATH_IMAGE014
is as follows
Figure 999415DEST_PATH_IMAGE012
A first sample of
Figure 407131DEST_PATH_IMAGE015
The number of the variables is one,
Figure 181052DEST_PATH_IMAGE016
is the total number of the samples and is,
Figure 311819DEST_PATH_IMAGE017
is composed of
Figure 60464DEST_PATH_IMAGE013
The number of the variables is one,
Figure 955476DEST_PATH_IMAGE018
is composed of
Figure 470771DEST_PATH_IMAGE015
The number of the variables is one,
Figure 783941DEST_PATH_IMAGE019
is the variable level number;
optimizing the local optimal test design schemes under different q through a genetic algorithm, and sequencing all local sequencing schemes through a maximum minimum criterion after determining the local optimal design schemes under different q to select the scheme with the best spatial uniformity:
Figure 110011DEST_PATH_IMAGE020
; (3)
in the formula (I), the compound is shown in the specification,
Figure 508632DEST_PATH_IMAGE007
is the spatial norm between the two samples,
Figure 827617DEST_PATH_IMAGE008
is a norm of a sample
Figure 244561DEST_PATH_IMAGE007
The number of (2);
s5, carrying out transmission chain integrated simulation on the sample points in the sampling scheme to obtain efficiency response; selecting 70% of sample points to establish a Gaussian random process model, and obtaining an intelligent inversion optimization model by adopting an inversion optimization design method taking a target as a guide on the basis of establishing the Gaussian random process model;
and S6, on the basis of the intelligent inversion optimization model, considering the integral output torque of the transmission chain system as constraint, and optimizing the constraint by adopting a PESA-II (particle swarm optimization-II) range selection-based multi-objective optimization algorithm.
Further, the step of determining the sensitive variable in S3 is as follows:
screening the sensitivity of the whole efficiency of the transmission chain to each parameter by utilizing an elementary effect distribution diagram, and constructing a Morris statistical matrix to carry out elementary effect analysis on variables, namely:
Figure 256379DEST_PATH_IMAGE021
; (4)
in the formula (I), the compound is shown in the specification,
Figure 814400DEST_PATH_IMAGE022
is as follows
Figure 953388DEST_PATH_IMAGE023
The distribution of the elementary effects of the individual variables,
Figure 975571DEST_PATH_IMAGE024
in the form of increments of the number of bits,
Figure 158291DEST_PATH_IMAGE025
is the variable of the k-th weft yarn,
Figure 741891DEST_PATH_IMAGE026
in the x-direction, the direction of the X-axis,
Figure 668259DEST_PATH_IMAGE027
for drive chain efficiency;
and (4) constructing a calculation matrix X by a random permutation algorithm, wherein each column of the normalized (k + 1) k sampling matrix has only two rows which are different at the ith position.
Further, the calculation matrix X is formulated as follows:
Figure 544948DEST_PATH_IMAGE028
; (5)
Figure 914881DEST_PATH_IMAGE029
; (6)
in the formula (I), the compound is shown in the specification,
Figure 713072DEST_PATH_IMAGE030
is a unit vector of k +1 columns,
Figure 443131DEST_PATH_IMAGE024
in order to randomly initialize the increment of the initialization,
Figure 377589DEST_PATH_IMAGE031
is a row vector generated by random increment and having the same dimension as the variable and each element being a multiple of the random increment not exceeding 1,
Figure 416958DEST_PATH_IMAGE032
is a matrix whose elements are only 0, 1,
Figure 702446DEST_PATH_IMAGE033
For a zero vector with only two elements 1,
Figure 970616DEST_PATH_IMAGE034
is a matrix of the units,
Figure 759581DEST_PATH_IMAGE035
for randomly initialized elements with diagonals of only 1, -1,
Figure 736895DEST_PATH_IMAGE036
performing the sampling process r times, and analyzing factors of each behavior elementary effect of the X matrix;
and (4) performing r times of elementary effect calculation on the X matrix to obtain elementary effect distribution of different variables.
Further, the variance formula in S3 is:
Figure 244100DEST_PATH_IMAGE037
; (7)
in the formula (I), the compound is shown in the specification,
Figure 315961DEST_PATH_IMAGE038
in order to obtain the number of tests,
Figure 490590DEST_PATH_IMAGE039
the number of the variable levels is the number of the variable levels,
Figure 340603DEST_PATH_IMAGE040
for each number of horizontal experiments the number of experiments,
Figure 600684DEST_PATH_IMAGE041
in order to achieve the target value,
Figure 210656DEST_PATH_IMAGE042
represents the first
Figure 239792DEST_PATH_IMAGE043
A variable of
Figure 27751DEST_PATH_IMAGE044
One level corresponds to all
Figure 775127DEST_PATH_IMAGE045
Is determined by the average value of (a) of (b),
Figure 188791DEST_PATH_IMAGE046
representing all times of test
Figure 72433DEST_PATH_IMAGE047
Average value of (a).
Further, on the basis of establishing a Gaussian random process model, a specific process of obtaining an intelligent inversion optimization model by adopting an inversion optimization design method taking a target as a guide is as follows;
establishing a Gaussian random process model for 70% of sample points by combining maximum likelihood estimation with a genetic algorithm, namely, a data-based maximum likelihood estimation function:
Figure 795407DEST_PATH_IMAGE048
; (8)
Figure 764500DEST_PATH_IMAGE049
; (9)
Figure 716276DEST_PATH_IMAGE050
; (10)
in the formula (I), the compound is shown in the specification,
Figure 720004DEST_PATH_IMAGE051
the number of the samples is the number of the samples,
Figure 849765DEST_PATH_IMAGE052
in response to this, the mobile station is allowed to respond,
Figure 306154DEST_PATH_IMAGE053
is a covariance matrix, X is a matrix of sampled samples, Y is a response vector, wherein,
Figure 61621DEST_PATH_IMAGE054
and
Figure 919855DEST_PATH_IMAGE055
the relationship of the functions can be obtained by combining genetic algorithm with maximum likelihood estimation.
Further, after the model is established, by setting a specific optimization target value to 97%, according to the established target response, determining a new model parameter and a point of addition of the optimal improved model probability by combining a genetic algorithm and maximum likelihood estimation;
wherein, the new likelihood function includes target optimization efficiency in addition to the model parameters, that is:
Figure 984632DEST_PATH_IMAGE056
; (11)
Figure 928317DEST_PATH_IMAGE057
; (12)
Figure 221895DEST_PATH_IMAGE058
; (13)
in the formula (I), the compound is shown in the specification,
Figure 934637DEST_PATH_IMAGE051
the number of the samples is the number of the samples,
Figure 671780DEST_PATH_IMAGE052
in response to this, the mobile station is allowed to respond,
Figure 102761DEST_PATH_IMAGE053
is a covariance matrix, X is a matrix of sampled samples, Y is a response vector,
Figure 200030DEST_PATH_IMAGE059
is the set target value.
Compared with the prior art, the invention has the following beneficial effects:
1. the invention provides an intelligent inversion optimization method for a transmission chain system, which is characterized in that the electromagnetic response of the transmission chain system under the SMC-SVPWM sliding mode control algorithm is modeled and calculated, the model is used for calculating the test sample response generated under the improved Latin hypercube sampling method, an intelligent inversion Gaussian random process optimization model based on target search is established, and the model performs inversion iteration by taking the transmission chain efficiency as the target so as to improve the accuracy of the model; the efficiency is improved, meanwhile, in order to ensure the high reliability of the transmission chain system, namely, reduce the fluctuation of the output torque of the transmission chain, a multi-objective optimization algorithm based on range selection is adopted to optimize the efficiency and the torque fluctuation, and the high-reliability collaborative optimization design facing the transmission chain system of the large-scale offshore wind power equipment is realized.
2. Aiming at the problems, the optimization of the whole system is considered in the optimization design of the transmission chain, namely the influence of a control algorithm of a generator and a control external circuit on the whole system is considered, the sample response points obtained by the whole system are considered, the optimization design can be carried out on the motor in the actual running state, and the result is more reliable. Secondly, the invention adopts a Gaussian process modeling method based on target search intelligent inversion optimization, combines specific numerical values of an optimized target, and calculates parameter numerical values of a model and calculates an optimal point adding position through maximum likelihood estimation and a genetic algorithm so as to improve the accuracy of the model.
Drawings
FIG. 1 is a flow chart of the drive chain system intelligent inversion optimization of the present invention.
FIG. 2 is a diagram of optimized variation of tooth space parameters of the drive chain of the present invention.
FIG. 3 is a flow chart of an intelligent inversion Gaussian random process model according to the present invention.
Detailed Description
In order to make the technical problems, technical solutions and advantages of the present invention more apparent, the following detailed description is given with reference to the accompanying drawings and specific embodiments. In the following description, characteristic details such as specific configurations and components are provided only to help the embodiments of the present invention be fully understood. Thus, it will be apparent to those skilled in the art that various changes and modifications may be made to the embodiments described herein without departing from the scope and spirit of the invention. In addition, descriptions of well-known functions and constructions are omitted for clarity and conciseness.
It should be appreciated that reference throughout this specification to "one embodiment" or "an embodiment" means that a particular feature, structure or characteristic described in connection with the embodiment is included in at least one embodiment of the present invention. Thus, the appearances of the phrases "in one embodiment" or "in an embodiment" in various places throughout this specification are not necessarily all referring to the same embodiment. Furthermore, the particular features, structures, or characteristics may be combined in any suitable manner in one or more embodiments.
In various embodiments of the present invention, it should be understood that the sequence numbers of the following processes do not mean the execution sequence, and the execution sequence of each process should be determined by its function and inherent logic, and should not constitute any limitation to the implementation process of the embodiments of the present invention.
It should be understood that the term "and/or" herein is merely one type of association relationship that describes an associated object, meaning that three relationships may exist, e.g., a and/or B may mean: a exists alone, A and B exist simultaneously, and B exists alone. In addition, the character "/" herein generally indicates that the former and latter related objects are in an "or" relationship.
In the embodiments provided herein, it should be understood that "B corresponding to a" means that B is associated with a from which B can be determined. It should also be understood that determining B from a does not mean determining B from a alone, but may be determined from a and/or other information.
As shown in fig. 1 to 3, the present invention provides a method for intelligent inversion optimization of a drive chain system, comprising the following steps;
s1, performing modeling calculation on electromagnetic response of a transmission chain system under an SMC-SVPWM sliding mode control algorithm to obtain the overall efficiency of the transmission chain system under the SMC-SVPWM sliding mode control algorithm; the SMC-SVPWM is space vector pulse width modulation based on a sliding mode control algorithm;
the system mainly comprises a transmission chain control algorithm, a driving external circuit and a generator electromagnetic model, wherein each part is used for carrying out real-time data communication and interactive calculation through a model interface, so that the simulation of a transmission chain system under a specific control algorithm is completed;
s2, selecting the length variable of the permanent magnet on the basis of S1
Figure 767277DEST_PATH_IMAGE060
Width, width
Figure 173857DEST_PATH_IMAGE061
Tooth space parameters
Figure 92134DEST_PATH_IMAGE003
To optimize the variables; establishing a Morris random sampling matrix of motor parameters, calculating the electromagnetic response of a sample by an S1 modeling calculation method, carrying out elementary effect analysis on the motor parameters to quantitatively measure the sensitivity of each parameter and the interactivity among the parameters, establishing an orthogonal test table of variables by a Taguchi method, carrying out signal-to-noise ratio analysis on the orthogonal test table, and preliminarily screening out the sensitive variables of the motor;
s3, selecting the length variable of the permanent magnet through S2
Figure 524253DEST_PATH_IMAGE001
Width, width
Figure 696739DEST_PATH_IMAGE002
Tooth space parameters
Figure 24952DEST_PATH_IMAGE004
As sensitive variables, BS1=4.5mm, HS1=1.7mm were determined at the same time; the procedure and principle for determining the sensitive variables is as follows:
screening the sensitivity of the whole efficiency of the transmission chain to each parameter by utilizing an elementary effect distribution diagram, and constructing a Morris statistical matrix to carry out elementary effect analysis on variables, namely:
Figure 164947DEST_PATH_IMAGE021
; (4)
in the formula (I), the compound is shown in the specification,
Figure 869597DEST_PATH_IMAGE022
is as follows
Figure 457442DEST_PATH_IMAGE023
The distribution of the elementary effects of the individual variables,
Figure 956557DEST_PATH_IMAGE024
in the form of increments of the number of bits,
Figure 583847DEST_PATH_IMAGE025
is the variable of the k-th weft yarn,
Figure 311763DEST_PATH_IMAGE026
in the x-direction,
Figure 973689DEST_PATH_IMAGE027
for drive chain efficiency;
the normalized (k + 1) k sampling matrix, where only two rows per column differ at the ith position, is constructed by a random permutation algorithm to compute the matrix X, i.e.:
Figure 643704DEST_PATH_IMAGE028
; (5)
Figure 492712DEST_PATH_IMAGE029
; (6)
performing r times of elementary effect calculation on the X matrix to obtain elementary effect distribution of different variables;
in the formula (I), the compound is shown in the specification,
Figure 522853DEST_PATH_IMAGE030
is a unit vector of k +1 columns,
Figure 39285DEST_PATH_IMAGE062
in order to randomly initialize the increment of the initialization,
Figure 880202DEST_PATH_IMAGE031
is a row vector generated by random increment and having the same dimension as the variable and each element being a multiple of the random increment not exceeding 1,
Figure 482085DEST_PATH_IMAGE063
is a matrix whose elements are only 0, 1,
Figure 817383DEST_PATH_IMAGE033
for a zero vector with only two elements 1,
Figure 188321DEST_PATH_IMAGE064
is a matrix of the units,
Figure 200139DEST_PATH_IMAGE035
for randomly initialized elements with diagonals of only 1, -1,
Figure 23739DEST_PATH_IMAGE036
performing the sampling process r times, and analyzing factors of each behavior elementary effect of the X matrix;
the influence proportion of each variable on the efficiency of the transmission chain is quantitatively analyzed, variance analysis is carried out on the influence proportion, the variance value of each variable is calculated, and the formula of the calculated variance value is as follows:
Figure 661263DEST_PATH_IMAGE037
; (7)
in the formula (I), the compound is shown in the specification,
Figure 886707DEST_PATH_IMAGE038
in order to obtain the number of tests,
Figure 866165DEST_PATH_IMAGE039
the number of the variable levels is the number of the variable levels,
Figure 193372DEST_PATH_IMAGE040
for each number of horizontal experiments the number of experiments,
Figure 119740DEST_PATH_IMAGE041
in order to achieve the target value,
Figure 199691DEST_PATH_IMAGE042
represents the first
Figure 818891DEST_PATH_IMAGE043
A variable of
Figure 866351DEST_PATH_IMAGE044
One level corresponds to all
Figure 330830DEST_PATH_IMAGE045
Is determined by the average value of (a) of (b),
Figure 530867DEST_PATH_IMAGE046
representing all times of test
Figure 320969DEST_PATH_IMAGE047
Average value of (d);
finally, the elementary effect and the analysis of variance are combined for use, the difference between the horizontal means of one or more factors is checked, and the variable with larger average value of the elementary effect and larger amplitude change in the analysis of variance is selected as a sensitive variable;
s4, generating a sampling scheme by adopting a Latin hypercube sampling scheme with high uniformity according to the sensitive variables in the S3, wherein the Latin hypercube sampling can ensure that the projection of the generated sampling scheme to each variable dimension in a test space is uniformly distributed; the sampling method only needs to ensure that the sampling parameters are uniformly distributed in a test space through optimization design, so that the optimal sampling scheme is obtained by establishing norm functions of two sample points in a sample space and a score function of sampling and combining a genetic algorithm to carry out optimization design.
The sampling scheme comprises the following steps:
first by randomly generating different hyper-latin cubic samples of 6 dimensions, 120 sample points,
establishing a distance norm and score function of two spatial points for the established Latin hypercube sampling scheme:
Figure 91610DEST_PATH_IMAGE005
; (1)
Figure 625359DEST_PATH_IMAGE006
; (2)
in the formula (I), the compound is shown in the specification,
Figure 679903DEST_PATH_IMAGE007
is the spatial norm between the two samples,
Figure 109747DEST_PATH_IMAGE008
is a norm of a sample
Figure 131799DEST_PATH_IMAGE007
The number of (2);
Figure 203660DEST_PATH_IMAGE009
the parameters are calculated for the distance and,
Figure 112710DEST_PATH_IMAGE010
in order to optimize the parameters to be optimized,
Figure 244614DEST_PATH_IMAGE011
is as follows
Figure 989847DEST_PATH_IMAGE012
A first sample of
Figure 865400DEST_PATH_IMAGE013
The number of the variables is one,
Figure 894535DEST_PATH_IMAGE014
is as follows
Figure 977767DEST_PATH_IMAGE012
A first sample of
Figure 725143DEST_PATH_IMAGE015
The number of the variables is one,
Figure 138807DEST_PATH_IMAGE016
is the total number of the samples and is,
Figure 22449DEST_PATH_IMAGE017
is composed of
Figure 981309DEST_PATH_IMAGE013
The number of the variable is changed according to the number of the variable,
Figure 950402DEST_PATH_IMAGE018
is composed of
Figure 167757DEST_PATH_IMAGE015
The number of the variables is one,
Figure 905906DEST_PATH_IMAGE019
is the variable level number;
optimizing the local optimal test design schemes under different q through a genetic algorithm, and sequencing all local sequencing schemes through a maximum minimum criterion after determining the local optimal design schemes under different q to select the scheme with the best spatial uniformity:
Figure 534202DEST_PATH_IMAGE020
; (3)
in the formula (I), the compound is shown in the specification,
Figure 990591DEST_PATH_IMAGE065
is the spatial norm between the two samples,
Figure 746058DEST_PATH_IMAGE066
is a norm of a sample
Figure 604292DEST_PATH_IMAGE065
The number of (2);
s5, carrying out transmission chain integrated simulation on the sample points in the sampling scheme to obtain efficiency response; selecting 70% of sample points to establish a Gaussian random process model, and obtaining an intelligent inversion optimization model by adopting an inversion optimization design method taking a target as a guide on the basis of establishing the Gaussian random process model; the Gaussian random process model can avoid complex nonlinear and high-dimensional mathematical relations between response variables and optimization variables, and is predicted and output by establishing Gaussian joint distribution between a sample and a test sample;
the specific steps and flows are as follows;
establishing a Gaussian random process model for 70% of sample points by combining maximum likelihood estimation with a genetic algorithm, namely, a data-based maximum likelihood estimation function:
Figure 170534DEST_PATH_IMAGE048
; (8)
Figure 848640DEST_PATH_IMAGE049
; (9)
Figure 204535DEST_PATH_IMAGE067
; (10)
in the formula:
Figure 166543DEST_PATH_IMAGE051
the number of the samples is the number of the samples,
Figure 152954DEST_PATH_IMAGE052
in response to this, the mobile station is allowed to respond,
Figure 583935DEST_PATH_IMAGE053
is a covariance matrixThe matrix, X being the matrix of sampled samples, Y being the response vector, where,
Figure 681204DEST_PATH_IMAGE054
and with
Figure 999184DEST_PATH_IMAGE055
The relation of the functions can be obtained by combining a genetic algorithm with maximum likelihood estimation;
after the model is established, the specific optimization target value is set to be 97%, and the addition point of the new model parameter and the optimal improved model probability is determined by combining the genetic algorithm through maximum likelihood estimation according to the set target response;
wherein, the new likelihood function also includes target optimization efficiency besides the model parameters, namely:
Figure 156496DEST_PATH_IMAGE056
; (11)
Figure 809194DEST_PATH_IMAGE057
; (12)
Figure 710154DEST_PATH_IMAGE058
; (13)
in the formula (I), the compound is shown in the specification,
Figure 381176DEST_PATH_IMAGE051
the number of the samples is the number of the samples,
Figure 709389DEST_PATH_IMAGE052
in response to this, the mobile station is allowed to respond,
Figure 849383DEST_PATH_IMAGE053
is a covariance matrix, X is a matrix of sampled samples, Y is a response vector,
Figure 835925DEST_PATH_IMAGE059
is the set target value.
In addition, the design target is parameterized and then is included in the calculation of model parameters of the Gaussian random process, the maximum likelihood estimation is adopted to combine with the genetic algorithm to update the model parameters and calculate the optimal point adding position, the calculated optimal point adding position is synchronously updated to the model, so that the accuracy of the model is improved, for example, in the optimized modeling of the embodiment, 78 points are selected to establish a basic model, and the accuracy of the model can be improved to 99.862% through 21 times of point adding.
And S6, on the basis of the intelligent inversion optimization model, considering the integral output torque of the transmission chain system as constraint, and optimizing the constraint by adopting a PESA-II (particle swarm optimization-II) range selection-based multi-objective optimization algorithm. Specifically, based on the intelligent inversion optimization model, a PESA-II multi-objective optimization algorithm based on range selection is adopted to optimize the model. PESA-II sets an outer population and an inner population. During evolution, non-dominant individuals in the inner population are added to the outer population, and dominant individuals in the outer population are eliminated. And when the crowding coefficients of the individuals are the same, randomly deleting one individual, and repeating the process until the population number meets the upper limit. In each evolution, the internal population is emptied, then individuals are selected from the external population, crossover and mutation are carried out according to certain probability to obtain new individuals, and the new individuals are added into the internal population. The final solution of the algorithm is the individual of the external population, namely, several Pareto optimal solutions. And selecting a feasible non-dominant solution according to the actual design requirement to obtain an optimized design scheme.
Therefore, the electromagnetic performance of the motor under the actual PWM waveform is considered, so that the optimized design scheme has reliability.
Compared with the traditional proxy model, the accuracy of the intelligent inversion optimization method for the transmission chain system can be ensured.
Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the technical solutions of the present invention have been described in detail with reference to the foregoing embodiments, it should be understood by those skilled in the art that the technical solutions described in the foregoing embodiments can be modified or some technical features can be replaced equally; and the modifications or the substitutions do not make the essence of the corresponding technical solutions depart from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims (6)

1. An intelligent inversion optimization method for a transmission chain system is characterized by comprising the following steps: comprises the following steps;
s1, performing modeling calculation on electromagnetic response of a transmission chain system under an SMC-SVPWM sliding mode control algorithm to obtain the overall efficiency of the transmission chain system under the SMC-SVPWM sliding mode control algorithm;
s2, selecting the length variable of the permanent magnet on the basis of S1
Figure 82928DEST_PATH_IMAGE001
Width, width
Figure DEST_PATH_IMAGE002
Tooth space parameters
Figure 203331DEST_PATH_IMAGE003
For optimizing variables, BS0 is the width of the notch, BS1 is the width of the main body portion of the groove near the notch, BS2 is the width of the main body portion of the groove near the bottom of the groove, HS0 is the depth of the notch, HS1 is the depth of the gradual change portion from the notch to the main body portion of the groove, and HS2 is the depth of the main body portion of the groove; establishing a Morris random sampling matrix of motor parameters, calculating the electromagnetic response of a sample by an S1 modeling calculation method, carrying out primary effect analysis on the motor parameters to quantitatively measure the sensitivity of each parameter and the interactivity between the parameters, establishing an orthogonal test table of variables by a Taguchi method, carrying out signal-to-noise ratio analysis on the orthogonal test table, and preliminarily screening out the sensitive variables of the motor;
s3, selecting the length variable of the permanent magnet through S2
Figure 514226DEST_PATH_IMAGE001
Width, width
Figure 643856DEST_PATH_IMAGE002
Tooth space parameters
Figure DEST_PATH_IMAGE004
As sensitive variables, BS1=4.5mm, HS1=1.7mm were determined at the same time;
quantitatively analyzing the influence proportion of each variable on the efficiency of the transmission chain, carrying out variance analysis on the influence proportion, and calculating the variance value of each variable;
finally, the elementary effect and the analysis of variance are combined for use, the difference between the horizontal means of one or more factors is checked, and the variable with larger average value of the elementary effect and larger amplitude change in the analysis of variance is selected as a sensitive variable;
s4, generating a sampling scheme by adopting a Latin hypercube sampling scheme with higher uniformity according to the sensitive variable in S3; the sampling scheme comprises the following steps:
firstly, sampling by randomly generating different hyper-Latin cubes with 6 dimensions and 120 sample points;
establishing a distance norm and score function of two spatial points for the established Latin hypercube sampling scheme:
Figure 395912DEST_PATH_IMAGE005
; (1)
Figure DEST_PATH_IMAGE006
; (2)
in the formula (I), the compound is shown in the specification,
Figure 421636DEST_PATH_IMAGE007
is the spatial norm between the two samples,
Figure DEST_PATH_IMAGE008
is a norm of a sample
Figure 328150DEST_PATH_IMAGE009
The number of (2);
Figure DEST_PATH_IMAGE010
the parameters are calculated for the distance and,
Figure 730313DEST_PATH_IMAGE011
in order to optimize the parameters to be optimized,
Figure DEST_PATH_IMAGE012
is as follows
Figure 664771DEST_PATH_IMAGE013
A first sample of
Figure DEST_PATH_IMAGE014
The number of the variables is one,
Figure 861397DEST_PATH_IMAGE015
is as follows
Figure 350147DEST_PATH_IMAGE013
A first sample of
Figure DEST_PATH_IMAGE016
The number of the variables is one,
Figure 493684DEST_PATH_IMAGE017
is the total number of the samples and is,
Figure DEST_PATH_IMAGE018
is composed of
Figure 721796DEST_PATH_IMAGE014
The number of the variables is one,
Figure 682799DEST_PATH_IMAGE015
is composed of
Figure 658845DEST_PATH_IMAGE016
The number of the variables is one,
Figure 340493DEST_PATH_IMAGE019
is the variable level number;
optimizing the local optimal test design schemes under different q through a genetic algorithm, and sequencing all local sequencing schemes through a maximum minimum criterion after determining the local optimal design schemes under different q to select the scheme with the best spatial uniformity:
Figure DEST_PATH_IMAGE020
; (3)
in the formula (I), the compound is shown in the specification,
Figure 187226DEST_PATH_IMAGE007
is the spatial norm between the two samples,
Figure 256814DEST_PATH_IMAGE008
is a norm of a sample
Figure 516894DEST_PATH_IMAGE007
The number of (2);
s5, carrying out transmission chain integrated simulation on the sample points in the sampling scheme to obtain efficiency response; selecting 70% of sample points to establish a Gaussian random process model, and obtaining an intelligent inversion optimization model by adopting an inversion optimization design method taking a target as a guide on the basis of establishing the Gaussian random process model;
and S6, on the basis of the intelligent inversion optimization model, considering the integral output torque of the transmission chain system as constraint, and optimizing the constraint by adopting a PESA-II (particle swarm optimization-II) range selection-based multi-objective optimization algorithm.
2. The intelligent inversion optimization method of the drive chain system according to claim 1, wherein: the steps for determining the sensitive variable in S3 are as follows:
screening the sensitivity of the whole efficiency of the transmission chain to each parameter by utilizing an elementary effect distribution diagram, and constructing a Morris statistical matrix to carry out elementary effect analysis on variables, namely:
Figure 2233DEST_PATH_IMAGE021
; (4)
in the formula (I), the compound is shown in the specification,
Figure DEST_PATH_IMAGE022
is as follows
Figure 936428DEST_PATH_IMAGE023
The distribution of the elementary effects of the individual variables,
Figure DEST_PATH_IMAGE024
in the form of increments of the number of bits,
Figure 911338DEST_PATH_IMAGE025
is the variable of the k-th weft yarn,
Figure DEST_PATH_IMAGE026
in the x-direction,
Figure 127555DEST_PATH_IMAGE027
for drive chain efficiency;
and (4) constructing a calculation matrix X by a random permutation algorithm, wherein each column of the normalized (k + 1) k sampling matrix has only two rows which are different at the ith position.
3. The drive chain system intelligent inversion optimization method of claim 2, wherein: the calculation matrix X is as follows:
Figure DEST_PATH_IMAGE028
; (5)
Figure 213323DEST_PATH_IMAGE029
; (6)
in the formula (I), the compound is shown in the specification,
Figure DEST_PATH_IMAGE030
is a unit vector of k +1 columns,
Figure 706752DEST_PATH_IMAGE031
in order to randomly initialize the increment of the initialization,
Figure DEST_PATH_IMAGE032
is a row vector generated by random increment and having the same dimension as the variable and each element being a multiple of the random increment not exceeding 1,
Figure 180459DEST_PATH_IMAGE033
is a matrix whose elements are only 0, 1,
Figure DEST_PATH_IMAGE034
for a zero vector with only two elements 1,
Figure 57542DEST_PATH_IMAGE035
is a matrix of the unit, and is,
Figure DEST_PATH_IMAGE036
for randomly initialized elements with diagonals of only 1, -1,
Figure DEST_PATH_IMAGE037
performing the sampling process r times, and analyzing factors of each behavior elementary effect of the X matrix;
and (4) performing r times of elementary effect calculation on the X matrix to obtain elementary effect distribution of different variables.
4. The drive chain system intelligent inversion optimization method of claim 3, wherein: the variance SSX in S3 is expressed as:
Figure DEST_PATH_IMAGE038
; (7)
in the formula (I), the compound is shown in the specification,
Figure 87946DEST_PATH_IMAGE039
in order to obtain the number of tests,
Figure DEST_PATH_IMAGE040
the number of the variable levels is the number of the variable levels,
Figure 826095DEST_PATH_IMAGE041
for each number of horizontal experiments the number of experiments,
Figure DEST_PATH_IMAGE042
is a target value for the amount of time,
Figure 142806DEST_PATH_IMAGE043
represents the first
Figure DEST_PATH_IMAGE044
A variable of
Figure 973097DEST_PATH_IMAGE045
One level corresponds to all
Figure DEST_PATH_IMAGE046
Is determined by the average value of (a) of (b),
Figure 462984DEST_PATH_IMAGE047
representing all times of test
Figure 931006DEST_PATH_IMAGE046
Average value of (a).
5. The drive chain system intelligent inversion optimization method of claim 1, wherein: on the basis of establishing a Gaussian random process model, a specific flow for obtaining an intelligent inversion optimization model by adopting an inversion optimization design method taking a target as a guide is as follows;
establishing a Gaussian random process model for 70% of sample points by combining maximum likelihood estimation with a genetic algorithm, namely, a data-based maximum likelihood estimation function:
Figure DEST_PATH_IMAGE048
; (8)
Figure 418619DEST_PATH_IMAGE049
; (9)
Figure DEST_PATH_IMAGE050
; (10)
in the formula:
Figure 96725DEST_PATH_IMAGE051
the number of the samples is the number of the samples,
Figure DEST_PATH_IMAGE052
in response to this, the mobile station is allowed to respond,
Figure 327986DEST_PATH_IMAGE053
is a covariance matrix, X is a matrix of sampled samples, Y is a response vector, wherein,
Figure DEST_PATH_IMAGE054
and
Figure 163698DEST_PATH_IMAGE055
the relationship of the functions can be obtained by combining genetic algorithm with maximum likelihood estimation.
6. The drive chain system intelligent inversion optimization method of claim 5, wherein: after the model is established, the specific optimization target value is set to be 97%, and the addition point of the new model parameter and the optimal improved model probability is determined by combining the genetic algorithm through maximum likelihood estimation according to the set target response;
wherein, the new likelihood function also includes target optimization efficiency besides the model parameters, namely:
Figure DEST_PATH_IMAGE056
;(11)
Figure 291054DEST_PATH_IMAGE057
; (12)
Figure DEST_PATH_IMAGE058
; (13)
in the formula (I), the compound is shown in the specification,
Figure 394139DEST_PATH_IMAGE051
the number of the samples is the number of the samples,
Figure 694670DEST_PATH_IMAGE052
in response to this, the mobile station is allowed to respond,
Figure 793076DEST_PATH_IMAGE053
is a covariance matrix, X is a matrix of sampled samples, Y is a response vector,
Figure 560175DEST_PATH_IMAGE059
is the set target value.
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