CN107967374A - A kind of sequencing computational methods of current divider impedance parameter - Google Patents

A kind of sequencing computational methods of current divider impedance parameter Download PDF

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Publication number
CN107967374A
CN107967374A CN201710989105.8A CN201710989105A CN107967374A CN 107967374 A CN107967374 A CN 107967374A CN 201710989105 A CN201710989105 A CN 201710989105A CN 107967374 A CN107967374 A CN 107967374A
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current
copper
manganese
current divider
finite element
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关少平
韩润东
王琪
郑雅轩
董理科
李小婧
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Electric Power Research Institute of State Grid Shanxi Electric Power Co Ltd
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Electric Power Research Institute of State Grid Shanxi Electric Power Co Ltd
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    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R27/00—Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom
    • G01R27/02—Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant
    • G01R27/08—Measuring resistance by measuring both voltage and current

Abstract

The invention discloses a kind of sequencing computational methods of current divider impedance parameter, solve the problems, such as that the prior art cannot accurately measure current divider impedance parameter under different frequency.The present invention realizes that sequencing calculates by the interaction of the automaticdata of electromagnetic finite element analysis software and mathematical operation software, current divider finite element model is established in realization, input calculates frequency, the sequencing that current divider impedance parameter can be achieved calculates, and directly exports the effect of its impedance parameter.By finite element analysis, the single copper-manganese sheet resistance of current divider and current divider inductance matrix parameter are calculated, and then according to each parameter editor loop-voltage equation, current divider impedance parameter is solved by mathematical operation.Calculating process realizes mathematical operation software transfer finite element analysis software, and receive Finite element analysis results and carry out next step computing, the operation result of final directly output steering device impedance parameter, realizes the foundation of quantitative relationship between current divider impedance parameter and frequency, easy to engineer application.

Description

A kind of sequencing computational methods of current divider impedance parameter
Technical field
The present invention relates to a kind of current divider, more particularly to a kind of computational methods of current divider impedance parameter.
Background technology
Current divider is the important current sensor of electrical engineering field, is usually used in high current measure.When measure DC current When, the circuit model of current divider is a resistance, and resistance value is producer's calibration value, when tested electric current passes through current divider, will be shunted The voltage signal divided by current divider resistance value of device output are up to tested electric current；When measuring non-direct current, splitter circuit mould Type is usually the series connection of resistance and inductance, and resistance and inductance constitute the impedance parameter of current divider, and impedance parameter is presented as impedance Modulus value and impedance angle two parts, when measure, are tested electric current as the voltage phasor of current divider output divided by the impedance parameter of current divider. According to kelvin effect and the structure of current divider, at different frequencies, electric current distribution situation when electric current passes through current divider is not Together, cause current divider impedance parameter can not establish simple quantitative relationship with frequency, and then cause current divider not measure accurately Non-direct current under each frequency.Because current divider impedance is usually minimum, current divider under accurate measurement different frequency there is no to hinder at present Effective instrument of anti-parameter, and current divider impedance parameter calculating process is related to electromagnetic field analysis, circuit analysis, the Yi Jishi of complexity The various factors such as border production technology, it is therefore necessary to invent a kind of sequencing meter of the current divider impedance parameter easy to engineer application Calculation method, first, the engineering calculation mode of current divider impedance parameter is provided, second, improving the convenient of current divider impedance parameter calculating Property and accuracy, and then effectively lifted current divider for non-direct current measurement accuracy.
The content of the invention
The present invention provides a kind of sequencing computational methods of current divider impedance parameter, solving the prior art cannot be accurate Measure the technical problem of current divider impedance parameter under different frequency.
The present invention is to solve above technical problem by the following technical programs：
The present invention realizes that sequencing calculates by the interaction of the automaticdata of electromagnetic finite element analysis software and mathematical operation software, Current divider finite element model is established in realization, and (the single copper-manganese piece of current divider, current divider are overall, current divider copper-manganese piece system amounts to 3 Finite element model), input calculate frequency, you can realize current divider impedance parameter sequencing calculate, directly export its impedance ginseng Several effect, easy to engineer application.By finite element analysis, the single copper-manganese sheet resistance of current divider and current divider inductance matrix are calculated Parameter, and then according to each parameter editor loop-voltage equation, current divider impedance parameter is solved by mathematical operation.Calculating process is real Existing mathematical operation software transfer finite element analysis software, and receive Finite element analysis results and carry out next step computing, it is final direct The operation result of output steering device impedance parameter, realizes the foundation of quantitative relationship between current divider impedance parameter and frequency, is easy to Engineer application.
A kind of sequencing computational methods of current divider impedance parameter, it is characterised in that following steps：
The first step, according to current divider specification, it is overall to establish the single copper-manganese piece electromagnetic finite element model of current divider, current divider Electromagnetic finite element model and current divider copper-manganese piece system electromagnetic finite element model；
Second step, the setup algorithm frequency in mathematical operation software, calculate frequency and are set in 10-3Hz—106In the range of Hz；
3rd step, in the single copper-manganese piece electromagnetic finite element model of current divider, analysis calculate second step setpoint frequency under point The CURRENT DISTRIBUTION of the single copper-manganese piece of device is flowed, and calculates single copper-manganese sheet resistance, is concretely comprised the following steps：
(1) in mathematical operation software after setup algorithm frequency, call finite element analysis software and transmit frequency values；
(2) nominal current is set in finite element analysis software and analyzes the CURRENT DISTRIBUTION for calculating single copper-manganese piece under frequency, and Nominal current and the performance number read are returned into mathematical operation software；
(3) single copper-manganese sheet resistance values R is calculated in mathematical operation softwareMn_Cu, formula is as follows：
Wherein PMn_CuFor the performance number read in (2),For the nominal current of setting in (2)；
(4) using paddle-tumble technique calibrating resistance value when being manufactured according to current divider, obtain according to the single copper-manganese piece of paddle-tumble process corrections Resistance Rsc：
Rsc=Ksc·RMn_Cu；
Wherein KscFor process ratio coefficient, obtained by following formula：
Wherein RsFor the calibration resistance of single copper-manganese piece；RcFor the calculating resistance of single copper-manganese piece under direct current, i.e., equal to producer The current divider resistance value of calibration is multiplied by current divider copper-manganese piece quantity；
4th step, in current divider entirety electromagnetic finite element model, analysis calculate frequency under current divider entirety CURRENT DISTRIBUTION, Each copper-manganese sheet resistance values of current divider are corrected according to the unequal distribution of copper-manganese on piece electric current, detailed process is：
Current divider entirety electromagnetic finite element model, setting nominal current and simulated current distribution are called, by each finite element Current density is passed back in mathematical operation software, and the current division ratio of each copper-manganese on piece of current divider is calculated in mathematical operation software Example, and calculate distribute modified each copper-manganese sheet resistance R according to electric current accordinglyk, k-th of copper-manganese piece of k expression current dividers：
Rk=KIK×Rsc；
Wherein KIKFor the current ratio coefficient of k-th of copper-manganese piece, obtained by following formula：
Wherein IkThe electric current passed through for k-th of copper-manganese on piece, IminThe minimum value of electric current is distributed for all copper-manganese pieces；
5th step, the method interacted using Finite-element Analysis in Electromagnetic Fields with mathematical operation, are calculated based on energy perturbation principle and shunted The inductance matrix of device copper-manganese piece system, concretely comprises the following steps：
Nominal current and perturbation current value (5%-10% of the perturbation electric current as nominal current) are set in mathematical operation software, is adjusted With finite element analysis software and transmit the value, according to the following formula in inductance parameters computational methods, have in current divider copper-manganese piece system Limit in meta-model and current excitation is set to different copper-manganese on pieces, solved with finite element electromagnetic field analysis and record setting excitation Under magnetic field energy, by the magnetic field energy value solved under different perturbation forms return mathematical operation software in record storage, and according to This obtains the inductance matrix of copper-manganese piece, and calculation formula is as follows：
Wherein LjjFor jth root conductor inductance, MjkFor the mutual inductance between jth root conductor and kth root conductor, W represents to pass through finite element The magnetic field energy of analysis and solution, represents the electric current perturbation form applied when calculating in its bracket, no bracket represent to apply electric current without Perturbation；K in calculating process, j get n from 1, so as to try to achieve the n rank inductance matrixs of current divider copper-manganese piece system, n is equal to current divider The quantity of copper-manganese piece；
6th step, set nominal voltage phasor in mathematical operation software, is joined according to the inductance matrix of current divider copper-manganese piece system Number and each copper-manganese sheet resistance parameter, arrange write loop-voltage equation according to the following formula：
Wherein：For the nominal voltage phasor of setting, RkDrawn by above-mentioned four-step calculation, LjjAnd MjkBy above-mentioned 5th step meter Draw, so that the electric current phasor of each copper-manganese on piece be calculatedAnd current divider total current phase is calculated according to the following formula Amount
7th step, calculate splitter circuit model according to the following formula：
Wherein：Z is the total impedance of circuit model, and R is circuit model resistance value；X is the reactance value of circuit model,For above-mentioned The nominal voltage phasor set in six steps,For current divider total current phasor, it is calculated by above-mentioned 6th step.
The innovative point of the present invention is：(1) calculated based on the Energy Perturbation Method inductance that finite element analysis is realized, because energy is taken the photograph Dynamic method is that the method that energy is calculated by setting different excitations calculates inductance parameters, and finite element method is substantially to energy Calculating again it is more accurate, therefore based on finite element analysis realize Energy Perturbation Method inductance calculating, improve inductance parameters Accuracy in computation；And resistance and inductance constitute the impedance parameter of current divider, therefore and then improve current divider impedance parameter Accuracy in computation.(2) computational methods fully reflect current divider resistance increase phenomenon caused by kelvin effect so that calculate frequency Lower current divider resistance parameter calculates accurate：Using the single copper-manganese piece of current divider and the electromagnetic field of overall two CURRENT DISTRIBUTIONs of current divider Finite element analysis, has taken into full account the CURRENT DISTRIBUTION for calculating current divider under frequency, so as to fully reflect that kelvin effect causes Current divider resistance increase phenomenon.(3) engineer application is easy in the design that sequencing calculates：Electromagnetic field analysis uses finite element analysis Method realizes that the storage of data and the solution of circuit equation realize that calculating process realizes mathematical operation using mathematical algorithms Software transfer finite element analysis software, and receive Finite element analysis results and carry out next step computing, final directly output steering device The operation result of impedance parameter, easy to engineer application.(4) computational methods are to the applied widely of frequency：Finite element analysis is in itself There is the applied widely of frequency, computational methods of the present invention are based on finite element electromagnetic field analysis, computational methods pair The scope of application of frequency is consistent with finite element method, after tested 10-3Hz—106There is higher calculating essence in the range of Hz Degree, meets the engineer application of general electric field.
The present invention establishes finite element model according to current divider specification, after setup algorithm frequency, you can directly output is counted The current divider impedance parameter under frequency is calculated, current divider impedance parameter result of calculation is accurate, and calculating process is convenient.
Brief description of the drawings
Fig. 1 is the splitter circuit model schematic of the present invention.
Embodiment
The present invention is described in detail below in conjunction with the accompanying drawings：
A kind of sequencing computational methods of current divider impedance parameter, it is characterised in that following steps：
The first step, according to current divider specification, it is overall to establish the single copper-manganese piece electromagnetic finite element model of current divider, current divider Electromagnetic finite element model and current divider copper-manganese piece system electromagnetic finite element model；
Second step, the setup algorithm frequency in mathematical operation software, calculate frequency and are set in 10-3Hz—106In the range of Hz；
3rd step, in the single copper-manganese piece electromagnetic finite element model of current divider, analysis calculate second step setpoint frequency under point The CURRENT DISTRIBUTION of the single copper-manganese piece of device is flowed, and calculates single copper-manganese sheet resistance, is concretely comprised the following steps：
(1) in mathematical operation software after setup algorithm frequency, call finite element analysis software and transmit frequency values；
(2) nominal current is set in finite element analysis software and analyzes the CURRENT DISTRIBUTION for calculating single copper-manganese piece under frequency, and Nominal current and the performance number read are returned into mathematical operation software；
(3) single copper-manganese sheet resistance values R is calculated in mathematical operation softwareMn_Cu, formula is as follows：
Wherein PMn_CuFor the performance number read in (2),For the nominal current of setting in (2)；(4) according to current divider system Using paddle-tumble technique calibrating resistance value when making, obtain according to the single copper-manganese sheet resistance R of paddle-tumble process correctionssc：
Rsc=Ksc·RMn_Cu；
Wherein KscFor process ratio coefficient, obtained by following formula：
Wherein RsFor the calibration resistance of single copper-manganese piece；RcFor the calculating resistance of single copper-manganese piece under direct current, i.e., equal to producer The current divider resistance value of calibration is multiplied by current divider copper-manganese piece quantity；
4th step, in current divider entirety electromagnetic finite element model, analysis calculate frequency under current divider entirety CURRENT DISTRIBUTION, Each copper-manganese sheet resistance values of current divider are corrected according to the unequal distribution of copper-manganese on piece electric current, detailed process is：
Current divider entirety electromagnetic finite element model, setting nominal current and simulated current distribution are called, by each finite element Current density is passed back in mathematical operation software, and the current division ratio of each copper-manganese on piece of current divider is calculated in mathematical operation software Example, and calculate distribute modified each copper-manganese sheet resistance R according to electric current accordinglyk, k-th of copper-manganese piece of k expression current dividers：
Rk=KIK×Rsc；
Wherein KIKFor the current ratio coefficient of k-th of copper-manganese piece, obtained by following formula：
Wherein IkThe electric current passed through for k-th of copper-manganese on piece, IminThe minimum value of electric current is distributed for all copper-manganese pieces；
5th step, the method interacted using Finite-element Analysis in Electromagnetic Fields with mathematical operation, are calculated based on energy perturbation principle and shunted The inductance matrix of device copper-manganese piece system, concretely comprises the following steps：
Nominal current and perturbation current value (5%-10% of the perturbation electric current as nominal current) are set in mathematical operation software, is adjusted With finite element analysis software and transmit the value, according to the following formula in inductance parameters computational methods, have in current divider copper-manganese piece system Limit in meta-model and current excitation is set to different copper-manganese on pieces, solved with finite element electromagnetic field analysis and record setting excitation Under magnetic field energy, by the magnetic field energy value solved under different perturbation forms return mathematical operation software in record storage, and according to This obtains the inductance matrix of copper-manganese piece, and calculation formula is as follows：
Wherein LjjFor jth root conductor inductance, MjkFor the mutual inductance between jth root conductor and kth root conductor, W represents to pass through finite element The magnetic field energy of analysis and solution, represents the electric current perturbation form applied when calculating in its bracket, no bracket represent to apply electric current without Perturbation；K in calculating process, j get n from 1, so as to try to achieve the n rank inductance matrixs of current divider copper-manganese piece system, n is equal to current divider The quantity of copper-manganese piece；
6th step, set nominal voltage phasor in mathematical operation software, is joined according to the inductance matrix of current divider copper-manganese piece system Number and each copper-manganese sheet resistance parameter, arrange write loop-voltage equation according to the following formula：
Wherein：For the nominal voltage phasor of setting, RkDrawn by above-mentioned four-step calculation, LjjAnd MjkBy above-mentioned 5th step meter Draw, so that the electric current phasor of each copper-manganese on piece be calculatedAnd current divider total current phase is calculated according to the following formula Amount
7th step, calculate splitter circuit model according to the following formula：
Wherein：Z is the total impedance of circuit model, and R is circuit model resistance value；X is the reactance value of circuit model,For above-mentioned The nominal voltage phasor set in six steps,For current divider total current phasor, it is calculated by above-mentioned 6th step.
Current divider is overall, three independent finite element models of single copper-manganese piece and copper-manganese piece system by establishing by the present invention, Each copper-manganese piece current distributions of current divider of kelvin effect, single copper-manganese piece electric current point can be considered under Accurate Analysis different frequency Cloth situation, and the inductance matrix parameter of copper-manganese piece system, the result of calculation of circuit model can truly reflect lower point of different frequency Device impedance parameter is flowed, result of calculation is accurate, easy to the foundation and survey in industrial production or scientific research to current divider measurement model Measure the analysis of error.
Present invention design current divider impedance parameter calculating process settles at one go, only need to establish the single copper-manganese of current divider in advance Piece, current divider are overall, current divider copper-manganese piece three finite element models of system, and input calculates frequency, you can immediately arrives at the calculating Current divider impedance parameter under frequency, calculating process simple operation.In addition, calculating frequency is set in 10-3Hz—106In the range of Hz There is higher computational accuracy, meet common engineering application.
Present invention is further described with reference to a specific embodiment.Embodiment is advised for 1000A/75mV The FL-2 type current dividers impedance parameter of lattice calculates, its size is as follows：Current divider copper-manganese piece number n=10, each copper-manganese piece are vertical Sectional dimension in current flowing direction is 1.4 × 16mm, and copper-manganese leaf length is 38mm；10 copper-manganese pieces are parallel to electric current inflow Between bus-bar and electric current outflow bus-bar, electric current inflow bus-bar is identical with the specification of electric current outflow bus-bar, with manganese The parallel bus-bar sectional dimension in copper sheet section is 96 × 22mm, and bus-bar length is 39mm；Electric current flows into bus-bar and electric current Being evenly distributed in the upper surface for bus-bar of outflow is equipped with 2 a diameter of 14mm, highly the round electric binding post for 5mm, each bus-bar The circle center line connecting of upper round electric binding post is vertical with current direction, circle center distance 50mm；Electric current flows into bus-bar and electric current The circle center line connecting of round electric binding post on bus-bar is flowed out at a distance of 100mm；
The first step, according to current divider specification, established in finite element analysis software ANSYS the single copper-manganese piece of current divider, point Device entirety, current divider copper-manganese piece system are flowed, amounts to 3 electromagnetic finite element models；
Second step, the setup algorithm frequency in mathematical operation software MATLAB：Such as 1kHz；
3rd step, analysis calculate the single copper-manganese piece CURRENT DISTRIBUTION of current divider under frequency, and calculate single copper-manganese sheet resistance, RMn_Cu =0.750082 × 10-3Ω；
4th step, analysis calculate the CURRENT DISTRIBUTION of current divider entirety under frequency, according to the unequal distribution of copper-manganese on piece electric current, repair Each copper-manganese sheet resistance values of positive current divider are as follows：
R1=0.751813 × 10-3Ω,
R2=0.772903 × 10-3Ω,…,
R10=0.750103 × 10-3Ω；
5th step, the method interacted using Finite-element Analysis in Electromagnetic Fields with mathematical operation, are calculated based on energy perturbation principle and shunted The inductance matrix of device copper-manganese piece system, it is as follows：
6th step, set nominal voltage phasor in mathematical operation software MATLABAccording to current divider copper-manganese The inductance matrix parameter of piece system and each copper-manganese sheet resistance values, row write loop-voltage equation.And calculate current divider total current phasor
7th step, calculate splitter circuit model according to the following formula：
It is 3.9378 × 10 to calculate FL-2 type 1000A/75mV current dividers impedance parameter under frequency 1kHz-4∠78.346°Ω。

Claims (1)

  1. A kind of 1. sequencing computational methods of current divider impedance parameter, it is characterised in that following steps：The first step, according to current divider Specification, establishes the single copper-manganese piece electromagnetic finite element model of current divider, current divider entirety electromagnetic finite element model and divides Flow device copper-manganese piece system electromagnetic finite element model；
    Second step, the setup algorithm frequency in mathematical operation software, calculate frequency and are set in 10-3Hz—106In the range of Hz；
    3rd step, in the single copper-manganese piece electromagnetic finite element model of current divider, analysis calculate second step setpoint frequency under point The CURRENT DISTRIBUTION of the single copper-manganese piece of device is flowed, and calculates single copper-manganese sheet resistance, is concretely comprised the following steps：
    (1) in mathematical operation software after setup algorithm frequency, call finite element analysis software and transmit frequency values；
    (2) nominal current is set in finite element analysis software and analyzes the CURRENT DISTRIBUTION for calculating single copper-manganese piece under frequency, and Nominal current and the performance number read are returned into mathematical operation software；
    (3) single copper-manganese sheet resistance values R is calculated in mathematical operation softwareMn_Cu, formula is as follows：
    Wherein PMn_CuFor the performance number read in (2),For the nominal current of setting in (2)；
    (4) using paddle-tumble technique calibrating resistance value when being manufactured according to current divider, obtain according to the single copper-manganese piece of paddle-tumble process corrections Resistance Rsc：
    Rsc=Ksc·RMn_Cu；
    Wherein KscFor process ratio coefficient, obtained by following formula：
    Wherein RsFor the calibration resistance of single copper-manganese piece；RcFor the calculating resistance of single copper-manganese piece under direct current, i.e., marked equal to producer Fixed current divider resistance value is multiplied by current divider copper-manganese piece quantity；
    4th step, in current divider entirety electromagnetic finite element model, analysis calculate frequency under current divider entirety CURRENT DISTRIBUTION, Each copper-manganese sheet resistance values of current divider are corrected according to the unequal distribution of copper-manganese on piece electric current, detailed process is：
    Current divider entirety electromagnetic finite element model, setting nominal current and simulated current distribution are called, by each finite element Current density is passed back in mathematical operation software, and the current division ratio of each copper-manganese on piece of current divider is calculated in mathematical operation software Example, and calculate distribute modified each copper-manganese sheet resistance R according to electric current accordinglyk, k-th of copper-manganese piece of k expression current dividers：
    Rk=KIK×Rsc；
    Wherein KIKFor the current ratio coefficient of k-th of copper-manganese piece, obtained by following formula：
    Wherein IkThe electric current passed through for k-th of copper-manganese on piece, IminThe minimum value of electric current is distributed for all copper-manganese pieces；
    5th step, the method interacted using Finite-element Analysis in Electromagnetic Fields with mathematical operation, are calculated based on energy perturbation principle and shunted The inductance matrix of device copper-manganese piece system, concretely comprises the following steps：
    Nominal current and perturbation current value (5%-10% of the perturbation electric current as nominal current) are set in mathematical operation software, is adjusted With finite element analysis software and transmit the value, according to the following formula in inductance parameters computational methods, have in current divider copper-manganese piece system Limit in meta-model and current excitation is set to different copper-manganese on pieces, solved with finite element electromagnetic field analysis and record setting excitation Under magnetic field energy, by the magnetic field energy value solved under different perturbation forms return mathematical operation software in record storage, and according to This obtains the inductance matrix of copper-manganese piece, and calculation formula is as follows：
    Wherein LjjFor jth root conductor inductance, MjkFor the mutual inductance between jth root conductor and kth root conductor, W represents to pass through finite element fraction The magnetic field energy solved is analysed, represents the electric current perturbation form applied when calculating in its bracket, no bracket represents to apply electric current without taking the photograph It is dynamic；K in calculating process, j get n from 1, so as to try to achieve the n rank inductance matrixs of current divider copper-manganese piece system, n is equal to current divider manganese The quantity of copper sheet；
    6th step, set nominal voltage phasor in mathematical operation software, is joined according to the inductance matrix of current divider copper-manganese piece system Number and each copper-manganese sheet resistance parameter, arrange write loop-voltage equation according to the following formula：
    Wherein：For the nominal voltage phasor of setting, RkDrawn by above-mentioned four-step calculation, LjjAnd MjkCalculated by above-mentioned 5th step Draw, so that the electric current phasor of each copper-manganese on piece be calculatedAnd current divider total current phasor is calculated according to the following formula
    7th step, calculate splitter circuit model according to the following formula：
    Wherein：Z is the total impedance of circuit model, and R is circuit model resistance value；X is the reactance value of circuit model,For above-mentioned The nominal voltage phasor set in six steps,For current divider total current phasor, it is calculated by above-mentioned 6th step.
CN201710989105.8A 2017-10-22 2017-10-22 A kind of sequencing computational methods of current divider impedance parameter Withdrawn CN107967374A (en)

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CN112858983A (en) * 2021-03-22 2021-05-28 云南省计量测试技术研究院 Method and system for automatically calibrating shunt

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CN105372498A (en) * 2015-10-29 2016-03-02 国网山西省电力公司电力科学研究院 Shunt impedance parameter determining method for measuring transient current

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