CN107291974A - A kind of parameter tuning method of spring operation formula vacuum circuit breaker high frequency transient simulation model - Google Patents

A kind of parameter tuning method of spring operation formula vacuum circuit breaker high frequency transient simulation model Download PDF

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CN107291974A
CN107291974A CN201710299522.XA CN201710299522A CN107291974A CN 107291974 A CN107291974 A CN 107291974A CN 201710299522 A CN201710299522 A CN 201710299522A CN 107291974 A CN107291974 A CN 107291974A
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mrow
msub
munderover
mfrac
circuit breaker
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CN107291974B (en
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唐文虎
周文婷
黄晶晶
辛妍丽
周九江
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South China University of Technology SCUT
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/30Circuit design
    • G06F30/36Circuit design at the analogue level
    • G06F30/367Design verification, e.g. using simulation, simulation program with integrated circuit emphasis [SPICE], direct methods or relaxation methods

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  • Computer Hardware Design (AREA)
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  • Driving Mechanisms And Operating Circuits Of Arc-Extinguishing High-Tension Switches (AREA)

Abstract

The invention discloses a kind of parameter tuning method of spring operation formula vacuum circuit breaker high frequency transient simulation model, the hookup of three phase mains, adjustable transformer, transformer, threephase cable, vacuum circuit breaker and capacitive load is included by building, vacuum circuit breaker both end voltage and the electric current of breaker is flowed through in measurement vacuum circuit breaker switching-on resistance, electric capacity, inductance and combined floodgate transient process, vacuum circuit breaker combined floodgate high frequency transient parameter is calculated using linear fit and the method averaged, and contrasts the error validity parameter of fitting parameter and closing speed.The present invention takes the method for average to calculate the general parameter of the voltage level by changing the parameter under the different voltages of adjustable transformer voltage measurement that secondary side voltage can arbitrarily be adjusted in rated range and using, so as to realize the accurate calculating of vacuum circuit breaker high frequency transient simulation parameters, applicable voltage range is wider, emulated available for high frequency transient under different operating modes, be widely used in a variety of researchs.

Description

A kind of parameter tuning method of spring operation formula vacuum circuit breaker high frequency transient simulation model
Technical field
The present invention relates to power system transient simulation modelling technique field, a kind of spring operation formula based on experiment is referred in particular to true The parameter tuning method of empty breaker high frequency transient simulation model.
Background technology
Vacuum circuit breaker has that arc extinguishing ability is strong, reliability is high, service life length, without fire hazard, be adapted to frequent operation The advantages of, the application in power system and its power distribution network is increasingly extensive.Different from perfect condition, in practical power systems operation In, vacuum circuit breaker often because prebreakdown, the phenomenon such as restrike during switching action cause system operatio overvoltage, is sent out The Overvoltages such as the power station inner breaker phase insulation that changes punctures, bus voltage transformer high-voltage wire iron-melting fusing, seriously threaten parallel connection Compensation device, endangers electrical equipment useful life, jeopardizes the insulation of power equipment, influences the normal operation of power system.To protect Power system and its installation of power distribution network and operation safety are protected, emulation need to be carried out to vacuum circuit breaker combined floodgate transient state and protection and ground Study carefully, therefore the accuracy of vacuum circuit breaker model is to influence one of key factor of Overvoltage of Vacuum Disconnectors in Operation research, its In, the parameter tuning of vacuum circuit breaker high frequency transient simulation model is particularly important.
At present, spring operation formula vacuum circuit breaker only has standard power frequency parameter, and the parameter needed for high frequency transient emulation is very scarce It is weary.Existing high frequency transient parameter lacks accuracy and versatility, therefore very necessary to the improvement of parameter tuning method, to emulation There is certain research the problems such as overvoltage caused by spring operation formula vacuum circuit breaker combined floodgate transient state in research operation states of electric power system And engineering application value.
The content of the invention
The purpose of the present invention is the deficiency existed for traditional spring operation formula vacuum circuit breaker simulation parameters setting method, There is provided a kind of parameter tuning method of the spring operation formula vacuum circuit breaker high frequency transient simulation model based on experiment, this method passes through Change the parameter under the different voltages of adjustable transformer voltage measurement that secondary side voltage can arbitrarily be adjusted in rated range and adopt With taking the method for average to calculate the general parameter of the voltage level, so as to realize that vacuum circuit breaker high frequency transient simulation model is joined Several accurate calculating, applicable voltage range is wider, is emulated available for high frequency transient under different operating modes, is widely used in a variety of grind Study carefully.
To achieve the above object, technical scheme provided by the present invention is:A kind of spring operation formula vacuum circuit breaker high frequency transient The parameter tuning method of simulation model, comprises the following steps:
1) build comprising three phase mains, transformer group, threephase cable, spring operation formula vacuum circuit breaker and the experiment of load electricity Road, wherein, the transformer group connects transformer using adjustable transformer low-pressure side, and the adjustable transformer is initially set to volume Determine voltage;
2) between switching-on resistance, electric capacity, inductance and the contact of spring operation formula vacuum circuit breaker two of measurement spring operation formula vacuum circuit breaker Stand-off distance from;
3) control spring operation formula vacuum circuit breaker is repeatedly suited, and is measured using oscillograph, electric current, voltage measuring apparatus Closing time, spring operation formula vacuum circuit breaker both end voltage and the electric current passed through in combined floodgate transient process;
4) closing speed is calculated according to contact gap distance and closing time, and takes the average value of test of many times closing speed Closing speed is tested for the group;
5) chosen according to surveyed voltage waveform and test the i.e. combined floodgate high frequency transient voltage of multiple prebreakdown points that measures every time Peak point, the peak value of test of many times is integrated and linear fit obtains linearly dependent coefficient;
6) high frequency electric point of cut-off is chosen according to surveyed current waveform and calculates the curent change frequency of the point, will repeatedly tried The frequency values for testing calculating are integrated and linear fit acquisition linearly dependent coefficient;
7) regulation adjustable transformer low-pressure side voltage is respectively 0.9 times and 1.1 times of rated voltage, repeat step 3), 4), 5) other two groups of linearly dependent coefficients, 6) are obtained, comprehensive three groups of linearly dependent coefficients and closing speed value calculate each phase relation Spring operation formula vacuum circuit breaker simulation parameters under the average value of number and closing speed, the as speed, and certificate parameter;
8) change spring operation formula spring actuating mechanism of vacuum circuit-breaker, repeat step 3), 4), 5), 6), 7) obtain friction speed Lower spring operation formula vacuum circuit breaker simulation parameters, and set up under PSCAD/EMTDC environment the emulation of spring operation formula vacuum circuit breaker Model, at the same using switching-on resistance, electric capacity, inductive circuit breaker in parallel preferable structure.
In step 4) in, experiment closing speed is not completely equivalent but is maintained in the excursion of equipment permission every time, because This closing speed is averaged, and its calculation formula is as follows:
Wherein, k=1,2,3...;I=1,2,3;N is every group of test number (TN);vkIt is the closing speed tested every time;D is Contact gap distance;tkFor the closing time tested every time;viFor the closing speed of every group of experiment, closed a floodgate for this group of test of many times The average value of speed;
In step 5) in, the formula of linear fit is as follows:
Ui=ait+bi
Wherein, t is time, tikIt is the time of each match point;UiIt is voltage, UikIt is the voltage of each match point;aiFor Voltage linear is fitted proportionality coefficient;biConstant is fitted for voltage linear;
In step 6) in, the formula of linear fit is as follows:
di/dti=cit+di
Wherein, di/dtiIt is curent change frequency, di/dtikIt is the curent change frequency of each match point;ciFor electric current frequency Rate linear fit proportionality coefficient;diFor power frequency linear fit constant;
In step 7) in, by step 5), 6) in linear fitting data handle, obtain and calculate spring operation formula vacuum and break The parameter of road device dielectric strength and high frequency electric arc-rupturing capacity:
A. dielectric strength
The not dielectric strength U of vacuum circuit breaker in the same timebCalculation formula is as follows:
Ub=Ublimit-A(t-tclose)-B
Wherein, UblimitIt is vacuum circuit breaker limit dielectric strength, the dielectric material between its numerical values recited and contact of breaker It is relevant;A is closing speed;T is the current emulation moment;tcloseStart actuation time for contact of breaker;B is that dielectric strength is normal Number;
B. high frequency electric arc-rupturing capacity
Using current changing rate di/dt critical value as high frequency electric arc-rupturing capacity, and use single order polynomial repressentation:
Di/dt=C (t-tclose)+D
Wherein, C is the rising scale of high frequency electric arc-rupturing capacity;D is high frequency electric arc-rupturing capacity when contact starts to close a floodgate;
Therefore, the closing speed measured valueUnder, spring operation formula vacuum circuit breaker Circuit Closing Parameters are as follows:
Using closing speed A and closing speed measured value V contrast verification parameters, when A and V deviation is in error allowed band Interior, this group of parameter just can be used in simulation model.
The present invention compared with prior art, has the following advantages that and beneficial effect:
1st, the present invention builds hookup, and spring operation formula vacuum circuit breaker combined floodgate high frequency transient circuit is entered using measuring apparatus Parameter needed for the simulation model that row measurement and the Fitting Calculation are built.
2nd, the present invention uses adjustable transformer, be to adjustable transformer respectively rated voltage, 0.9 times of rated voltage, 1.1 times Three kinds of situations of rated voltage carry out test measurement, and take the average value of three groups of tests for final argument, it is ensured that spring operation formula vacuum is broken The accuracy of road device combined floodgate high frequency transient parameter.
3rd, the present invention is by changing spring operation formula vacuum circuit breaker spring operating mechanism so as to change spring operation formula vacuum circuit breaker Closing speed, measures and calculates spring operation formula vacuum circuit breaker combined floodgate high frequency transient parameter under friction speed, be spring operation formula vacuum Breaker simulation model and different operating mode emulation provide a variety of references.
Brief description of the drawings
Fig. 1 is the parameter tuning method flow chart of spring operation formula vacuum circuit breaker high frequency transient simulation model of the present invention.
Fig. 2 is the hookup structure chart of spring operation formula vacuum circuit breaker parameter measurement of the present invention.
Fig. 3 is spring operation formula vacuum circuit breaker simulation model circuit structure diagram of the present invention.
Embodiment
With reference to specific embodiment, the present invention is described further.
As shown in figure 1, the parameter tuning for the spring operation formula vacuum circuit breaker high frequency transient simulation model that the present embodiment is provided Method, comprises the following steps:
1) hookup as shown in Figure 2, including the adjustable transformation of 380V three phase mains, 380V being sequentially connected in series are built Device (adjustable extent 0-430V is initially set to rated voltage, as 380V), 35/0.38kV transformers, 35kV spring operation formula vacuum Breaker and capacitive load.
2) using spring operation formula vacuum circuit breaker switching-on resistance tester, capacitance measuring instrument and inductance measuring meter measurement 35kV bullets Behaviour's formula vacuum circuit breaker switching-on resistance R, electric capacity L and inductance C, and touched using position sensor measurement spring operation formula vacuum circuit breaker two Head clearance distance d.
3) control spring operation formula vacuum circuit breaker is repeatedly suited, and is shown using current transformer, voltage transformer connection Closing time t in ripple device measurement combined floodgate transient processik, spring operation formula vacuum circuit breaker both end voltage UikAnd the electric current I passed throughik
4) closing speed is calculated, and takes test of many times closing speed vkAverage value be group experiment closing speed vi, it is counted Calculate formula as follows:
Wherein, k=1,2,3...;I=1,2,3;N is every group of test number (TN);vkIt is the closing speed tested every time;D is Contact gap distance;tkFor the closing time tested every time;viFor the closing speed of every group of experiment, closed a floodgate for this group of test of many times The average value of speed.
5) according to surveyed voltage data, spring operation formula vacuum circuit breaker waveform is drawn using MATLAB, with reference to data and waveform The multiple prebreakdown points i.e. peak point of combined floodgate high frequency transient voltage tested measure every time is chosen, and the use of MATLAB sentences will be many The peak value of secondary experiment is integrated and linear fit obtains linearly dependent coefficient, and its calculation formula is as follows:
Ui=ait+bi
Wherein, t is time, tikIt is the time of each match point;UiIt is voltage, UikIt is the voltage of each match point;aiFor Voltage linear is fitted proportionality coefficient;biConstant is fitted for voltage linear;
6) according to surveyed voltage data, spring operation formula vacuum circuit breaker waveform is drawn using MATLAB, with reference to data and waveform Experiment every time is chosen to measure multiple high frequency electric point of cut-offs and calculate the curent change frequency of the point, and will using MATLAB sentences The peak value of test of many times is integrated and linear fit obtains linearly dependent coefficient, and its calculation formula is as follows:
di/dti=cit+di
Wherein, di/dtiIt is curent change frequency, di/dtikIt is the curent change frequency of each match point;ciFor electric current frequency Rate linear fit proportionality coefficient;diFor power frequency linear fit constant;
7) magnitude of voltage for adjusting adjustable transformer is respectively 0.9 times and 1.1 times i.e. 342V and 418V of rated voltage, is repeated Step 3), 4), 5), 6) obtain other two groups of linearly dependent coefficients, comprehensive three groups of linearly dependent coefficients and closing speed value are calculated The average value of each coefficient correlation and closing speed, is spring operation formula vacuum circuit breaker dielectric strength and high frequency electric under the speed The parameter of arc-rupturing capacity:
A. dielectric strength
The not dielectric strength U of spring operation formula vacuum circuit breaker in the same timebCalculation formula is as follows:
Ub=Ublimit-A(t-tclose)-B (4)
Wherein, UblimitIt is spring operation formula vacuum circuit breaker limit dielectric strength, Jie between its numerical values recited and contact of breaker Electric material is relevant;A is closing speed;T is the current emulation moment;tcloseStart actuation time for contact of breaker;B is that dielectric is strong Spend constant;
B. high frequency electric arc-rupturing capacity
Using current changing rate di/dt critical value as high frequency electric arc-rupturing capacity, and use single order polynomial repressentation:
Di/dt=C (t-tclose)+D (5)
Wherein, C is the rising scale of high frequency electric arc-rupturing capacity;D is high frequency electric arc-rupturing capacity when contact starts to close a floodgate;
Therefore, the closing speed measured valueUnder, spring operation formula vacuum circuit breaker Circuit Closing Parameters are as follows:
In addition, need to be using closing speed A and closing speed measured value V contrast verification parameters, when A and V deviation is in error In allowed band, this group of parameter can be used for simulation model.
8) by changing spring operation formula spring actuating mechanism of vacuum circuit-breaker, repeat step 3), 4), 5), 6), 7), meter Calculate friction speed under spring operation formula vacuum circuit breaker simulation parameters and set up under PSCAD/EMTDC environment spring operation formula vacuum break Road device simulation model, as shown in Figure 3.The simulation model uses switching-on resistance, electric capacity, the preferable open circuit of inductance (RLC) circuit in parallel The data that the structure of device, wherein switching-on resistance, electric capacity, inductance are measured in using 2), and A, B, C, D parameter obtained in utilizing 7) Calculate dielectric strength and high frequency blocks ability, the judgement for breaker folding condition.
Hookup, measurement spring operation formula vacuum circuit breaker switching-on resistance, electric capacity, inductance and conjunction are built according to above step In lock transient process spring operation formula vacuum circuit breaker both end voltage and the electric current of breaker is flowed through, using linear fit and averaged Method calculates spring operation formula vacuum circuit breaker combined floodgate high frequency transient parameter, and is tested by the application condition of fitting parameter and closing speed Parameter is demonstrate,proved, this method has higher validity.This example is respectively 380V, 342V and 418V, i.e. spring operation formula to conditioned circuit When vacuum circuit breaker terminal voltage is 35kV, 31.5kV, 38.5kV, spring operation formula vacuum circuit breaker combined floodgate transient voltage and current conditions Measure, the simulation parameters needed for being obtained using the method for taking average, therefore it is accurate and be applicable electricity to calculate many parameters Press scope wide.This example is tested a variety of closing speeds, therefore simulation model is applied to various working.This example it may be said that The parameter tuning method of the bright spring operation formula vacuum circuit breaker high frequency transient simulation model based on experiment can preferably survey calculation bullet Parameter needed for behaviour's formula vacuum circuit breaker simulation model, actual condition can be met by using it for emulation, can be widely applied to own Adjusting for spring operation formula vacuum circuit breaker parameter, is worthy to be popularized.
Embodiment described above is only the preferred embodiments of the invention, and the practical range of the present invention is not limited with this, therefore The change that all shape, principles according to the present invention are made, all should cover within the scope of the present invention.

Claims (2)

1. a kind of parameter tuning method of spring operation formula vacuum circuit breaker high frequency transient simulation model, it is characterised in that including following Step:
1) build comprising three phase mains, transformer group, threephase cable, spring operation formula vacuum circuit breaker and the hookup of load, its In, the transformer group connects transformer using adjustable transformer low-pressure side, and the adjustable transformer is initially set to specified electricity Pressure;
2) measurement spring operation formula vacuum circuit breaker switching-on resistance, electric capacity, inductance and the contact gap distance of spring operation formula vacuum circuit breaker two;
3) control spring operation formula vacuum circuit breaker is repeatedly suited, and is closed a floodgate using oscillograph, electric current, voltage measuring apparatus measurement Closing time, spring operation formula vacuum circuit breaker both end voltage and the electric current passed through in transient process;
4) closing speed is calculated according to contact gap distance and closing time, and takes the average value of test of many times closing speed to be somebody's turn to do Group experiment closing speed;
5) the multiple prebreakdown points i.e. peak value of combined floodgate transient high frequency voltage tested measure every time is chosen according to surveyed voltage waveform Point, the peak value of test of many times is integrated and linear fit obtains linearly dependent coefficient;
6) high frequency electric point of cut-off is chosen according to surveyed current waveform and calculates the curent change frequency of the point, by test of many times meter The frequency values of calculation are integrated and linear fit obtains linearly dependent coefficient;
7) regulation adjustable transformer low-pressure side voltage is respectively 0.9 times and 1.1 times of rated voltage, repeat step 3), 4), 5), 6) obtain other two groups of linearly dependent coefficients, comprehensive three groups of linearly dependent coefficients and closing speed value calculate each coefficient correlation and Spring operation formula vacuum circuit breaker simulation parameters under the average value of closing speed, the as speed, and certificate parameter;
8) change spring operation formula spring actuating mechanism of vacuum circuit-breaker, repeat step 3), 4), 5), 6), 7) obtain friction speed under bullet Behaviour's formula vacuum circuit breaker simulation parameters, and set up under PSCAD/EMTDC environment spring operation formula vacuum circuit breaker simulation model, The structure of switching-on resistance, electric capacity, inductive circuit preferable breaker in parallel is used simultaneously.
2. a kind of parameter tuning method of spring operation formula vacuum circuit breaker high frequency transient simulation model according to claim 1, It is characterized in that:In step 4) in, experiment closing speed is not completely equivalent but is maintained in the excursion of equipment permission every time, Therefore closing speed is averaged, and its calculation formula is as follows:
<mrow> <msub> <mi>v</mi> <mi>k</mi> </msub> <mo>=</mo> <mfrac> <mi>d</mi> <msub> <mi>t</mi> <mi>k</mi> </msub> </mfrac> </mrow>
<mrow> <msub> <mi>v</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>v</mi> <mi>k</mi> </msub> </mrow> <mi>n</mi> </mfrac> </mrow>
Wherein, k=1,2,3...;I=1,2,3;N is every group of test number (TN);vkIt is the closing speed tested every time;D is between contact Stand-off distance from;tkFor the closing time tested every time;viFor the closing speed of every group of experiment, for this group of test of many times closing speed Average value;
In step 5) in, the formula of linear fit is as follows:
Ui=ait+bi
<mrow> <msub> <mi>a</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <mo>-</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> </mrow> <mi>n</mi> </mfrac> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <msub> <mi>U</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <mo>-</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>U</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> </mrow> <mi>n</mi> </mfrac> <mo>)</mo> </mrow> </mrow> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msup> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <mo>-</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> </mrow> <mi>n</mi> </mfrac> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </mfrac> </mrow>
<mrow> <msub> <mi>b</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>U</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> </mrow> <mi>n</mi> </mfrac> <mo>-</mo> <msub> <mi>a</mi> <mi>i</mi> </msub> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> </mrow> <mi>n</mi> </mfrac> </mrow>
Wherein, t is time, tikIt is the time of each match point;UiIt is voltage, UikIt is the voltage of each match point;aiFor voltage Linear fit proportionality coefficient;biConstant is fitted for voltage linear;
In step 6) in, the formula of linear fit is as follows:
di/dti=cit+di
<mrow> <msub> <mi>c</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <mo>-</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> </mrow> <mi>n</mi> </mfrac> <mo>)</mo> </mrow> <mrow> <mo>(</mo> <mi>d</mi> <mi>i</mi> <mo>/</mo> <msub> <mi>dt</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <mo>-</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <mi>d</mi> <mi>i</mi> <mo>/</mo> <msub> <mi>dt</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> </mrow> <mi>n</mi> </mfrac> <mo>)</mo> </mrow> </mrow> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msup> <mrow> <mo>(</mo> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> <mo>-</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> </mrow> <mi>n</mi> </mfrac> <mo>)</mo> </mrow> <mn>2</mn> </msup> </mrow> </mfrac> </mrow>
<mrow> <msub> <mi>d</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>U</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> </mrow> <mi>n</mi> </mfrac> <mo>-</mo> <msub> <mi>c</mi> <mi>i</mi> </msub> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>k</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>t</mi> <mrow> <mi>i</mi> <mi>k</mi> </mrow> </msub> </mrow> <mi>n</mi> </mfrac> </mrow>
Wherein, di/dtiIt is curent change frequency, di/dtikIt is the curent change frequency of each match point;ciFor power frequency line Property fitting proportionality coefficient;diFor power frequency linear fit constant;
In step 7) in, by step 5), 6) in linear fitting data handle, obtain and calculate spring operation formula vacuum circuit breaker The parameter of dielectric strength and high frequency electric arc-rupturing capacity:
A. dielectric strength
The not dielectric strength U of vacuum circuit breaker in the same timebCalculation formula is as follows:
Ub=Ublimit-A(t-tclose)-B
Wherein, UblimitIt is vacuum circuit breaker limit dielectric strength, the dielectric material between its numerical values recited and contact of breaker has Close;A is closing speed;T is the current emulation moment;tcloseStart actuation time for contact of breaker;B is dielectric strength constant;
B. high frequency electric arc-rupturing capacity
Using current changing rate di/dt critical value as high frequency electric arc-rupturing capacity, and use single order polynomial repressentation:
Di/dt=C (t-tclose)+D
Wherein, C is the rising scale of high frequency electric arc-rupturing capacity;D is high frequency electric arc-rupturing capacity when contact starts to close a floodgate;
Therefore, the closing speed measured valueUnder, spring operation formula vacuum circuit breaker Circuit Closing Parameters are as follows:
<mrow> <mi>A</mi> <mo>=</mo> <mo>-</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>a</mi> <mi>i</mi> </msub> </mrow> <mi>n</mi> </mfrac> </mrow>
<mrow> <mi>B</mi> <mo>=</mo> <msub> <mi>U</mi> <mrow> <mi>b</mi> <mi>lim</mi> <mi>i</mi> <mi>t</mi> </mrow> </msub> <mo>-</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>b</mi> <mi>i</mi> </msub> </mrow> <mi>n</mi> </mfrac> </mrow>
<mrow> <mi>C</mi> <mo>=</mo> <mo>-</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>c</mi> <mi>i</mi> </msub> </mrow> <mi>n</mi> </mfrac> </mrow>
<mrow> <mi>D</mi> <mo>=</mo> <mfrac> <mrow> <munderover> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>d</mi> <mi>i</mi> </msub> </mrow> <mi>n</mi> </mfrac> </mrow>
Using closing speed A and closing speed measured value V contrast verification parameters, when A and V deviation is in error allowed band, This group of parameter just can be used in simulation model.
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