CN108920776A - A kind of load ratio bridging switch kinetic model layering confirmation method based on hyper-model - Google Patents
A kind of load ratio bridging switch kinetic model layering confirmation method based on hyper-model Download PDFInfo
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Abstract
The method for the load ratio bridging switch kinetic model layering confirmation based on hyper-model that the invention discloses a kind of, the method contains hyper-model modeling technique, finite element model simplifies method, the Model Updating Technique based on sensitivity, the modeling technique of connector, correlation analysis method.The method is as follows:Hyper-model data with high precision are reference data, Dynamic Modeling is carried out using whole machine model of the layering thought to tap switch, first, establish the hyper-model and simplified model of component, it is modified based on kinetic characteristics of the hyper-model data of tap switch component to the initial finite element model that component simplifies, obtain the partial model of confirmation, then, establish the hyper-model of connector, realize the Dynamic Modeling of confirmation back part simplified model connector, Connecting quantity between hyper-model data component simplified model based on connector is modified, finally, the Connecting quantity of identification is substituted into tap switch whole machine model and carries out dynamic analysis.This method provides reference for the kinetic model confirmation of labyrinth, has broad application prospects.
Description
Technical field
The present invention relates to Structural Dynamics fields, more particularly to a kind of load ratio bridging switch dynamics based on hyper-model
Model layers confirmation method.
Background technique
On-load tap changer (On-Load Tap Changer, OLTC) is that converter power transformer realizes load tapchanging
Core component, can not only steady load center voltage, and be also contact power grid, adjustment load trend, improve without distribution of work etc.
Indispensable important equipment, when frequent movement, subjects huge mechanically and electrically stream impact, so as to cause in use process
There are the electrical or mechanical failures such as contact overheat scaling loss, fastener loose or dislocation and operating mechanism bite failure, as the change of current becomes
Depressor increases power grid application, and load ratio bridging switch rate of breakdown is consequently increased.According to statistics, domestic load ratio bridging switch
Failure account for 20% of transformer fault or more, and mechanical oscillation cause failure to account for tap switch total failare 70%, therefore, have
Necessity studies the mechanical vibration performance of tap switch, to improve the safety and reliability of its operation.
During load ratio bridging switch frequent operation, collision or the caused mechanical oscillation that rub between mechanism components are
The main reason for causing tap switch mechanical breakdown.Since structure is complicated for load ratio bridging switch, traditional Analytic modeling method is very
Hardly possible, which obtains, can accurately reflect the models of structural dynamic characteristics, thus how to establish accurate tap switch kinetic model and be
Urgent problem to be solved.In recent years, with the development of computer technology, Modifying model and confirmation technology quilt based on FInite Element
Therefore the modeling and simulation for being applied to labyrinth in engineering more and more widely moves tap switch using the technology
The mechanical modeling engineering significance certain with emulation.
Summary of the invention
The present invention is based on model via dynamical response amendments and confirmation technology, propose a kind of loaded tap-off based on hyper-model
The method of switching dynamic model layers confirmation, in order to establish a kind of suitable for tap switch complete machine dynamic analysis
Model makes it that can combine the precision and efficiency of calculating in complete machine dynamic analysis.The hyper-model of this method with high precision
Data are reference data, carry out Dynamic Modeling using whole machine model of the layering thought to tap switch, are based on tap switch portion
The hyper-model data of part are first modified the kinetic characteristics of component, obtain the partial model of confirmation, are then based on connection
The hyper-model data of part are modified the Connecting quantity between tap switch component, and the Connecting quantity of identification is substituted into tap and is opened
It closes whole machine model and carries out dynamic analysis.
Load ratio bridging switch kinetic model based on hyper-model layering confirmation method implementation process as shown in Figure 1,
Include the following steps:
(1) hyper-model that load ratio bridging switch component is established using the modeling method of hyper-model carries out power to hyper-model
Credit analysis, obtains the kinetic parameter of hyper-model.
(2) model simplification is carried out to load ratio bridging switch component finite element model, establishes the initial finite element model of component,
And dynamics preanalysis is carried out to it.
(3) the initial finite element model of component is repaired using the model modification method based on hyper-model kinetic results
Just, the component kinetic model of confirmation is obtained, similarly, obtains the remaining part kinetic model of confirmation.
(4) building for part is attached to the adjacent component with assembly relation using the dynamic modeling method of connector
Mould obtains the initial finite element model of component assembling structure.
(5) dynamics preanalysis, and the data with the hyper-model of assembling structure are carried out to the finite element model of assembling structure
Correlation analysis is carried out, judges whether assembling model needs to be modified.
(6) the hyper-model kinetic parameter based on assembling structure ties assembly using the model modification method in step (3)
Connector model in structure is modified, final two component assembling structural models for obtaining confirmation.
(7) the model validation method of component assembling model is generalized to all assembling structures of band connection part, it is final to obtain
The tap switch whole machine model of confirmation, is further used for the dynamic analysis of complete machine.
Detailed description of the invention
Tap switch kinetic model layering confirmation process of the Fig. 1 based on hyper-model
The kinetic model of tap switch component of the Fig. 2 based on hyper-model confirms process
The multi-block technique of Fig. 3 component finite element model divides
Fig. 4 tap switch complete machine finite element model
Specific embodiment
The modeling procedure (as shown in Figure 2) of hyper-model is in the step (1)
(1) geometrical model is cleared up --- and geometrical model is checked, is cleared up, the mistake generated during Geometric Modeling is eliminated
The problems such as compatibility between difference, Geometric Modeling software (such as UG) and finite element software (such as ANSYS), it is ensured that geometrical model
It is consistent with expected design, grid dividing can be carried out;
(2) initial model is analyzed --- and a thicker size of mesh opening is given, finite element is carried out with second order tetrahedron element
Grid dividing carries out the modal calculation under freedom-free boundary condition in the frequency range of care;
(3) size of mesh opening iterative analysis --- according to uniform grid size gradually tessellated mesh size, and by previous reference
The model of the size of mesh opening of model and current refined grid model carry out correlation analysis, determine the mode pair of the identical vibration shape, analyze
The frequency difference of mode pair;
(4) model convergence --- according to the convergence of the convergence index checking FEM modal analysis and modal of model, such as
Fruit, which is not restrained, to be continued to refine, and is otherwise stopped;Using the average frequency error and maximum frequency error of "current" model and reference model
The convergence of grid is measured, for the convergence of quantitative descriptive model, the average frequency error η of current computation model and most
Big frequency error δ is represented by
δ=max | fi,j-fi+1,j|, j=1,2 ..., n (2)
Wherein, fi,jIndicate that the jth rank modal frequency for the model that i-th iteration calculates, n are the order of mode.
(5) hyper-model is evaluated --- and it is suitable to be determined according to hyper-model precision index average frequency error and maximum frequency error
Size of mesh opening repartition grid, and carry out correlation analysis with convergence model, be determined as hyper-model after meeting index request.
The simplified method of finite element model is in the step (2)
(1) geometric simplification:The geometrical characteristic for removing some small sizes, such as the hole of minor diameter, chamfering, rounding etc. is gone
Except the kinetic characteristics on structure influence lesser geometrical characteristic;For some boss structures in model, can optionally carry out
Removal, such as boss of some small sizes, and only influential boss of the local mode of structure etc. can also be removed.
(2) model meshes simplify:It is reference with the size of mesh opening of hyper-model, selects a biggish size of mesh opening as letter
The integral grid size for changing model can reduce size of mesh opening, suitably for the lesser structure of some sizes in model to subtract
The generation of few deformity grid.It obtains after simplifying geometrical model, controls the size of mesh opening of different geometrical characteristics for convenience to obtain letter
Change model, piecemeal can be carried out to structure according to geometrical characteristic, as shown in figure 3, then dividing the geometry of each piecemeal
Net keeps the continuity of grid between adjacent partitioned organization, and the calculation scale of simplified model can be by adjusting the net of partitioned organization
Lattice size is controlled.
The model modification method based on hyper-model kinetic results is in the step (3):
Using the super model type analysis result of structure as reference data, finite element model is calibrated, correlation analysis and
Modifying model, to make the difference of prediction model and reference model kinetic characteristics within the acceptable range.In Modifying model
In the process, the variation of prediction model corrected parameter must satisfy the constraint condition of practical structures physical significance, therefore, Modifying model
Problem can regard a kind of constrained optimization problem as again, can be expressed as following mathematical form
G (x) is objective function in formula;W is weighting coefficient matrix, for reflecting the important journey of each element in residual vector
It spends, usually a symmetrical matrix;R is residual vector, frWith faRespectively reference vector and predicted vector may be defined as mode frequency
The forms such as rate, Mode Shape, frequency response function.X=[x1,x2,x3,...,xn]TFor design variable to be modified, as material parameter,
The parameters such as geometric parameter and boundary condition, due to predicted vector fa(x) be design variable function of state, pass through restrained condition
The convergent efficiency of optimal solution can be improved in the variation range of function, and superscript L and U respectively indicate lower bound and the upper bound of variable.
It can be by Sensitivity Analysis Method solving to Modifying model problem, due to the design parameter of positive model to be repaired
There is a certain error for the parameter of x and reference model, it is generally the case that modal parameter faIt (x) is the non-linear of parameter x to be modified
Function, in order to convert linear problem for nonlinear problem, in initial designs point by fa(x) the one of parameter x to be modified is expanded into
Rank Taylor form
fa(x)=fa(x0)+SΔx+o(Δx) (4)
In formula, x0For the initial assay values of design parameter, S is sensitivity matrix of the modal parameter to design parameter, Δ x generation
The error of table design parameter, (Δ x) is higher order term to o, can be neglected, obtains
fa(x)=fa(x0)+SΔx (5)
The variable following form of chemical conversion of formula (5)
S Δ x=R (6)
R=f in formulaa(x)-fa(x0), for the modal parameter residual error with reference to mould model and correction model.When residual error dimension is big
When corrected parameter dimension, equation (6) is over-determined systems, and result can obtain parameter increase using least square method solution
Δ x=S+R (7)
S in formula+For the generalized inverse of sensitivity matrix, Modifying model is the process of an iteration optimization, and current iteration is obtained
Parameter of the parameter arrived as the finite element model of next iterative analysis, after iterating, finite element model and reference model it
Between error meet convergent condition after finally restrain.
The dynamic modeling method of connector mainly includes spring unit modeling method and thin layer list in the step (4)
Meta Model method, wherein spring unit modeling method is normally set up using the connection relationship of spring unit simulation adjacent component
The rigidity of spring carrys out the coupling stiffness between analog component.
Dynamic Modeling is carried out to connector using layer unit method, is built according to the isotropic material of linear constitutive relation
Vertical thin layer element, constitutive equation are
Wherein, D is the elastic matrix of material, and σ is stress matrix, and E, G and u are respectively Young's modulus, modulus of shearing and pool
Loose ratio, isotropic material meet formula G=E/2 (1+ μ), it is seen that only there are two independent variables in material parameter.For shell
Unit thin layer, it is assumed that its thickness is much smaller than the characteristic size of other both directions, it is believed that For 8 node isoparametric element shape function of plane, the ε known to the relationship between unit strain and Displacement of elemental nodex=
εy=γxy≈ 0, at this time the internal strain component (ε in the two of thin layer element characteristic size directionx,εy,γxy) and internal stress component
(σx,σy,τxy) will be ignored.Contact surface normal direction and two tangential directions z, x, y for being respectively defined as thin layer element global coordinate,
Degeneration is by the constitutive equation of material:
In formula (8), λ is Lame constants, λ=G (2G-E)/(E-3G), at this time normal direction elastic constant and tangential elastic constant
It is non-independent, the coupling stiffness in the two constants co-determination component contact face.
The step (5) generally uses modal assurance criterion (Modal Assurance during Modifying model
Criterion, MAC) carry out the Mode Shape similarity degree of analysis and assessment model and reference model.The definition of MAC is
In formula, φr,iFor reference model the i-th first order mode vector, φa,jFor the jth first order mode vector of analysis model, T is represented
Transposition.MAC=1, indicate with reference to the vibration shape and analysis the vibration shape it is perfectly correlated, MAC=0, expression it is uncorrelated, the value of MAC it is closer with
1, the correlation of the two is better.
The hyper-model of assembling structure is the hyper-model for considering complete connection structure in the step (6), and hyper-model is built
Mould method refers to step (1), in addition, connection structure can simulate the preload characteristic of fastener.Pass through the hyper-model of assembling model
Data correction assembles the Connecting quantity of simplified model, by the Connecting quantity between identification build-up member, substitutes into component assembling letter
Change model, the final component assembling structural model for obtaining confirmation
The step (7) passes through the Connecting quantity of the hyper-model data correction assembling model of assembling model, and institute is insighted
Other Connecting quantity substitutes into tap switch whole machine model, and applies boundary constraint according to actual installation condition, is finally confirmed
Tap switch complete machine kinetic model, as shown in Figure 4.
The beneficial effects of the invention are as follows:The present invention is not only that the Dynamic Modeling of load ratio bridging switch opens one newly
Path of Research, and reference is provided for the confirmation of the kinetic model of labyrinth, it has broad application prospects.
Claims (6)
1. a kind of method of the load ratio bridging switch kinetic model layering confirmation based on hyper-model, it is characterised in that:This method
Integrated application hyper-model modeling technique, finite element model simplify method, the Model Updating Technique based on sensitivity, connector
Modeling technique, correlation analysis method.
2. a kind of side of load ratio bridging switch kinetic model layering confirmation based on hyper-model according to claim 1
Method, it is characterized in that:Hyper-model data with high precision are reference data, using layering thought to the whole machine model of tap switch into
Action mechanical modeling, firstly, the hyper-model and simplified model of component are established, based on the hyper-model data of tap switch component to portion
The kinetic characteristics for the initial finite element model that part simplifies are modified, and are obtained the partial model of confirmation, then, are established connector
Hyper-model, realize confirmation back part simplified model connector Dynamic Modeling, the hyper-model data component based on connector
Connecting quantity between simplified model is modified, and is carried out finally, the Connecting quantity of identification is substituted into tap switch whole machine model
Dynamic analysis.
3. a kind of side of load ratio bridging switch kinetic model layering confirmation based on hyper-model according to claim 1
Method, it is characterized in that:The implementation process of hyper-model modeling technique has 5 steps, including geometrical model is cleared up, initial model is analyzed,
Size of mesh opening iterative analysis, model convergence and hyper-model evaluation, wherein initial model uses second order tetrahedral finite element
Grid, according to uniform grid size, gradually tessellated mesh size is iterated analysis, in iterative process with last computation model
Correlation analysis is carried out to carry out the matching of mode pair and calculate the difference of modal frequency, in an iterative process, using "current" model and
The average frequency error and maximum frequency error of reference model measure the convergence of grid.
4. a kind of side of load ratio bridging switch kinetic model layering confirmation based on hyper-model according to claim 1
Method, it is characterized in that:The simplification method of finite element model includes that geometric simplification and model meshes simplify simultaneously, is removed some small
The geometrical characteristic of size, appropriate reduce generates lopsided grid, and carries out piecemeal to structure according to construction geometry feature, respectively to each
A geometry block carries out grid dividing, and on the basis of guaranteeing that grid is successional, the size of mesh opening for controlling each geometry block is divided
Net obtains the lesser simplified model of calculation scale.
5. a kind of side of load ratio bridging switch kinetic model layering confirmation based on hyper-model according to claim 1
Method, it is characterized in that:It is modified, is based on using simplified model of the Model Updating Technique based on sensitivity to tap switch component
Partial model characteristic frequency is modified the sensitivity of multi-block technique size to component simplified model, is differentiated by correlation analysis
Amendment back part model is evaluated.
6. a kind of side of load ratio bridging switch kinetic model layering confirmation based on hyper-model according to claim 1
Method, it is characterized in that:Using the connection relationship between one-dimensional spring unit and shell unit thin layer analog component, building for connector is realized
Mould, wherein shell unit thin layer is established using the isotropic material of linear constitutive relation, and the normal direction elasticity of thin layer element is often
Number is non-independent with tangential elastic constant, while with the two elastic constants come the coupling stiffness of deciding part.
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