CN107679327A - Paper oil insulation extension Debye model parameter identification method based on FDS - Google Patents
Paper oil insulation extension Debye model parameter identification method based on FDS Download PDFInfo
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- CN107679327A CN107679327A CN201710935548.9A CN201710935548A CN107679327A CN 107679327 A CN107679327 A CN 107679327A CN 201710935548 A CN201710935548 A CN 201710935548A CN 107679327 A CN107679327 A CN 107679327A
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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
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- G—PHYSICS
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- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/12—Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing
- G01R31/1227—Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing of components, parts or materials
- G01R31/1263—Testing dielectric strength or breakdown voltage ; Testing or monitoring effectiveness or level of insulation, e.g. of a cable or of an apparatus, for example using partial discharge measurements; Electrostatic testing of components, parts or materials of solid or fluid materials, e.g. insulation films, bulk material; of semiconductors or LV electronic components or parts; of cable, line or wire insulation
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- G06—COMPUTING; CALCULATING OR COUNTING
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Abstract
The invention discloses the paper oil insulation based on FDS to extend Debye model parameter identification method, comprises the following steps：1, dielectric spectroscopy test is carried out to oil immersion to be measured insulation sample, to obtain the real and imaginary parts measured value sent a telegram in reply and held；2, the equivalent telegram in reply of model is established according to extension Debye model and holds real part C ' and imaginary part C " expression formulas, to draw the real and imaginary parts match value of telegram in reply appearance；3, establish extension Debye model parameter identification object function；4, solution is iterated to above-mentioned extension Debye model parameter identification object function with the algorithm that least square method is combined using particle cluster algorithm, obtains the last solution of extension Debye model parameter.The present invention proposes to build paper oil insulation extension Debye model based on frequency domain dielectric response technology FDS curves can effectively solve in current paper oil insulation Research on Equivalent Model using the reliability deficiency present in time domain dielectric response acquisition equivalent model parameter, time domain reduced model to dielectric spectroscopy matching degree and the problem of less stable.
Description
Technical field
The present invention relates to insulation of electrical installation ageing predetermination technical field, and in particular to a kind of paper oil insulation based on FDS
Extend Debye model parameter identification method.
Background technology
Oil-paper combination insulation structure includes oil-filled transformer, Oil-impregnated Paper Condenser Bushing in History and oil immersion as paper oil insulation equipment
The primary insulation part of formula current transformer etc., the deterioration of its insulating properties will directly affect the operation of paper oil insulation equipment
Reliability, therefore the status information for accurately and effectively assessing oil-paper combination insulation is to ensure paper oil insulation equipment safety stable operation
Key.
At present, dielectric response technology is widely used in paper oil insulation state estimation, and it mainly includes return voltage method
(Recovery Voltage Method, RVM), polarization/depolarization current method (Polarization and
Depolarization Current, PDC) and dielectric spectroscopy method (Frequency Domain Spectroscopy, FDS)
Three kinds of measuring technologies, wherein dielectric spectroscopy method obtain extensive concern because it measures bandwidth and strong antijamming capability.But mesh
It is preceding based on dielectric spectroscopy test result assess paper oil insulation state research be confined to contrast merely FDS test curves more so that
Paper oil insulation state is qualitatively judged, this method fail fully to excavate dielectric spectroscopy carry dielectric insulation status information and
It is unable to the aging of qualitative assessment paper oil insulation, state of making moist.
Paper oil insulation equivalent-circuit model is established based on paper oil insulation dielectric response test result, and changed from model parameter
Angle expansion dielectric specificity analysis be to realize paper oil insulation aging, the effective way of state of making moist qualitative assessment.And build
Stand the basis that accurate paper oil insulation equivalent model is the analysis of paper oil insulation dielectric property.The equivalent electric of paper oil insulation medium at present
Road form is more using extension Debye model, and the parameter identification of model is mostly based on return voltage and polarization depolarization current test
As a result deploy, therefore the accuracy of model parameter is limited to the interference of noise in time domain and the precision limitation of measurement signal.And FDS because
Unique advantage with carrying abundant information and strong antijamming capability, the deficiency of time domain dielectric response technology can be effectively made up, but
Research in terms of deploying paper oil insulation extended model parameter identification based on FDS is extremely deficient.The country has scholar to propose to be based at present
The algorithm identification extension Debye model parameter that paper oil insulation FDS curves are combined using genetic algorithm with least square method, but should
The problem of operation result less stable be present in method.
Therefore, accurate paper oil insulation extension Debye model is established based on FDS test results, and then is paper oil insulation state
Diagnosis lays the foundation, and provides theoretical foundation for practical implementation of the dielectric response technology in this area, has good work
Journey practical value.
The content of the invention
It is an object of the invention to overcome deficiency of the prior art, there is provided a kind of paper oil insulation extension based on FDS
Debye model parameter identification method, propose to build paper oil insulation extension Debye model based on frequency domain dielectric response technology FDS curves,
Can effectively solve to obtain present in equivalent model parameter using time domain dielectric response in current paper oil insulation Research on Equivalent Model
Reliability deficiency, time domain reduced model are to dielectric spectroscopy matching degree and the problem of less stable.
In order to solve the above technical problems, the invention provides a kind of paper oil insulation based on FDS to extend Debye model parameter
Discrimination method, it is characterized in that, comprise the following steps：
Step S1, dielectric spectroscopy test is carried out to oil immersion to be measured insulation sample, to obtain the real and imaginary parts sent a telegram in reply and held
Measured value；
Step S2, the equivalent telegram in reply of model is established according to extension Debye model and holds real part C ' and imaginary part C " expression formulas, to draw
The real and imaginary parts match value for appearance of sending a telegram in reply；
Step S3, establishing extension Debye model parameter identification object function is：
In formula, C 'Measurement(ω) and C "Measurement(ω) is respectively that the telegram in reply that oil-immersed insulating paper plate dielectric spectroscopy is tested to obtain holds in fact
Portion and imaginary values, unit：F；C′Fitting(ω) and C "Fitting(ω) is respectively that the telegram in reply derived by extending Debye model parameter holds in fact
Portion and imaginary values, unit：F；M is the Frequency point number of dielectric spectroscopy test；
Step S4, above-mentioned extension Debye model parameter is distinguished with the algorithm that least square method is combined using particle cluster algorithm
Know object function and be iterated solution, obtain the last solution of extension Debye model parameter.
Further, extension Debye model equivalent circuit uses a resistance R0With electric capacity C0Parallel connection, then n RC in parallel strings
It is equivalent to join branch road.
Further, " expression formula is as follows by telegram in reply appearance real part C ' and imaginary part C：
In formula, Ri、CiThe relaxation polarization in series arm equivalent different relaxation times, unit are respectively G Ω, nF；N goes here and there for RC
Join circuitry number；ω is to test angular frequency, unit：rad/s.
Further, n values are 6.
Further, in step S4, the algorithm being combined using particle cluster algorithm with least square method is to above-mentioned extension moral
Visit identification of Model Parameters object function and be iterated the detailed process of solution and be：
First with particle cluster algorithm from RANDOM SOLUTION by global search iteration find optimal solution near rough solution,
And the initial value using the solution as least square method, iteration is continued by least square method and determines that one group meets required precision most
Excellent solution, the last solution as extension each parameter of Debye model.
Compared with prior art, the beneficial effect that is reached of the present invention is：The present invention is based on particle cluster algorithm and a most young waiter in a wineshop or an inn
The optimized algorithm that multiplication is combined realizes accurate table of the extension Debye model to frequency domain dielectric response in paper oil insulation wide frequency range
Sign, can effectively solve to obtain present in equivalent model parameter using time domain dielectric response in current paper oil insulation Research on Equivalent Model
Reliability deficiency, time domain reduced model is to dielectric spectroscopy matching degree and the problem of less stable.
Brief description of the drawings
Fig. 1 is extension Debye model equivalent circuit diagram in the prior art；
Fig. 2 is the flow chart that object function is solved in the inventive method；
Fig. 3 is that the FDS of oil-immersed insulating paper plate in the embodiment of the present invention answers capacity measurement spectrogram and based on the oil-immersed insulating paper
Plate extends the reconstruct FDS curve synoptic diagrams of Debye model parameter identification result.
Embodiment
The invention will be further described below in conjunction with the accompanying drawings.Following examples are only used for clearly illustrating the present invention
Technical scheme, and can not be limited the scope of the invention with this.
Existing extension Debye model equivalent circuit, as shown in figure 1, using a resistance R0With electric capacity C0Parallel connection, then it is in parallel
N RC series arm carrys out equivalent, wherein R0Insulaion resistance is characterized, reflects the conductance phenomenon of Oil-Paper Insulation；C0For geometry electricity
Hold, characterize vacuum geometric capacitance and the equivalent capacity sum of lossless polarization；The polarization of RC series arms reflection oilpaper material in itself
Process.
Therefore, a kind of paper oil insulation extension Debye model parameter identification method based on FDS of the invention, it is main include with
Lower step：
Step S1, dielectric spectroscopy test is carried out to oil immersion to be measured insulation sample, to obtain the real and imaginary parts sent a telegram in reply and held
Measured value.
The frequency domain dielectric response test of oil-immersed insulating paper plate deploys in three-electrode system platform.First by oil-immersed insulating paper plate
It is placed between high-field electrode and the measuring electrode of three electrode platforms, dielectric spectroscopy tester high-pressure side and low-pressure end connect respectively
Connect the high-field electrode and measuring electrode of three-electrode system, and earth terminal and guard electrode effective grounding simultaneously.Frequency domain dielectric is set
Spectrometer test parameter is as follows：Test voltage virtual value is 200V, and test frequency range scope is 0.1mHz-1kHz.To dielectric spectroscopy
Analyzed, obtain the real and imaginary parts measured value that telegram in reply holds.
Step S2, the equivalent telegram in reply of model is established according to extension Debye model and holds real part C ' and imaginary part C " expression formulas, to draw
The real and imaginary parts match value for appearance of sending a telegram in reply, expression formula are as follows：
In formula, C0For vacuum geometric capacitance and the equivalent capacity sum of lossless polarization, unit：nF；R0It is single for insulaion resistance
Position：GΩ；Ri、CiThe relaxation polarization in series arm equivalent different relaxation times, unit are respectively G Ω, nF；N is RC series arms
Count, 6 are taken as in the present embodiment；ω is to test angular frequency, unit：rad/s.
Step S3, establishing extension Debye model parameter identification object function is：
In formula, C 'Measurement(ω) and C "Measurement(ω) is respectively that the telegram in reply that oil-immersed insulating paper plate dielectric spectroscopy is tested to obtain holds in fact
Portion and imaginary values, unit：F；C′Fitting(ω) and C "Fitting(ω) is respectively that the telegram in reply derived by extending Debye model parameter holds in fact
Portion and imaginary values, unit：F, by extending the equivalent telegram in reply appearance real part C ' and imaginary part C of Debye model, " expression formula obtains for it；M is frequency
The Frequency point number of domain dielectric spectra test.
Step S4, above-mentioned extension Debye model parameter is distinguished with the algorithm that least square method is combined using particle cluster algorithm
Know object function and be iterated solution, so that target function value tends to 0, obtain the last solution of extension Debye model parameter.
First with particle cluster algorithm from RANDOM SOLUTION by global search iteration find optimal solution near rough solution,
And the initial value using the solution as least square method, iteration is continued by least square method and determines that one group meets required precision most
Excellent solution, as extension each parameter of Debye model last solution, so as to realize to paper oil insulation extension Debye model parameter identification,
Algorithm flow is as shown in Figure 2.
Particle cluster algorithm initializes particle populations first, and in the present embodiment, it is 200 to set population quantity m, due to extension
When Debye model RC series arm numbers elect 6 as, wait to ask extension Debye model parameter totally 14, thus identification of Model Parameters target
The dimension of function is 14, i.e. particle dimension D is arranged to 14.Pass through the position of all particles of random function random initializtion in MATLAB
Put and speed, and the adaptive value of each particle is calculated according to extension Debye model parameter identification object function, while initialize grain
The individual optimal value p of sonijAnd population global optimum gj.By the adaptive value and particle individual optimal value p that compare particleijIt is corresponding
Adaptive value, if the former is less than the latter, now individual optimal value p corresponding to particleijAs current particle position；Compare in population
The individual optimal value p of each particleijWith population global optimum gjIf the former is less than the latter, population global optimum gjMake
For individual optimal value pijCorresponding particle position.Speed and position of i-th of particle in jth dimension (1≤j≤D) space in population
It is as follows to put more new formula：
vij=ω vij+c1r1(pij-xij)+c2r2(gj-xij)
xij=xij+vij
In formula：vijRepresent speed of i-th of particle in jth dimension space in population；xijRepresent in population i-th
Position of the particle in jth dimension space；pijRepresent the individual optimal value of i-th of particle in population, gjRepresent the overall situation of population
Optimal value；c1、c2For Studying factors, c is set1=c2=2；r1、r2The random number in the range of (0,1) is represented, passes through MATLAB
Middle random function is realized；ω is inertia weight, and weights omega is arranged to during the t times iteration operation algebraically：
In formula：ωmaxFor weight limit, 0.9 is arranged to；ωminFor minimal weight, 0.4 is arranged to；TmaxRepresent population
Algorithm maximum iteration, is arranged to 2000.
Particle cluster algorithm iteration to end condition (1) is met, i.e., more than maximum iteration 2000 times when, particle cluster algorithm
Terminate, and least square method is passed to using current iteration result as initial value, continue to extending Debye model parameter identification target
Functional expansion iteration.Least square fitting realizes that function major parameter sets as follows by lsqnonlin functions in MATLAB：
It it is 1000 times including maximum iteration, the termination error TolFun of function iteration is arranged to 1e-60, terminates the X values of iteration
TolX is arranged to 1e-60, optimized algorithm selection trusted zones reflection algorithm.When meeting least square method end condition (2), i.e. iteration
Number exceedes maximum iteration 1000 times or when function iteration terminates error and is less than TolFun values, and stopping Optimized Iterative is simultaneously defeated
Go out optimal solution of the final iteration result as extension Debye model parameter.
In the present embodiment, the FDS of oil-immersed insulating paper plate answers capacity measurement spectrogram and extends moral based on the oil-immersed insulating paper plate
The reconstruct FDS curve synoptic diagrams of identification of Model Parameters result are visitd, shown in Figure 3, the telegram in reply in Fig. 3 holds real and imaginary parts curve
Show, measured value almost all falls on calculated curve, shows that fitting effect is good.The expansion being calculated using the inventive method
The optimal solution for opening up Debye model parameter is as shown in table 1.
Table 1 extends the value of Debye model parameter
Realize extension Debye model to paper oil insulation with the optimized algorithm that least square method is combined based on particle cluster algorithm
The accurate characterization of frequency domain dielectric response in wide frequency range, solves time domain dielectric response in current paper oil insulation Research on Equivalent Model
Equivalent model reliability deficiency, and the problem of frequency domain dielectric response equivalent model matching degree and less stable.
Described above is only the preferred embodiment of the present invention, it is noted that for the ordinary skill people of the art
For member, without departing from the technical principles of the invention, some improvement and modification can also be made, these improvement and modification
Also it should be regarded as protection scope of the present invention.
Claims (6)
1. the paper oil insulation extension Debye model parameter identification method based on FDS, it is characterized in that, comprise the following steps：
Step S1, dielectric spectroscopy test is carried out to oil immersion to be measured insulation sample, measured with obtaining the real and imaginary parts for appearance of sending a telegram in reply
Value；
Step S2, the equivalent telegram in reply of model is established according to extension Debye model and holds real part C ' and imaginary part C " expression formulas, to draw telegram in reply
The real and imaginary parts match value of appearance；
Step S3, establishing extension Debye model parameter identification object function is：
In formula, C 'Measurement(ω) and C "Measurement(ω) be respectively oil-immersed insulating paper plate dielectric spectroscopy test obtained telegram in reply hold real part and
Imaginary values, unit：F；C′Fitting(ω) and C "Fitting(ω) be respectively by extend Debye model parameter derive telegram in reply hold real part and
Imaginary values, unit：F；M is the Frequency point number of dielectric spectroscopy test；
Step S4, the algorithm being combined using particle cluster algorithm with least square method is to above-mentioned extension Debye model parameter identification mesh
Scalar functions are iterated solution, obtain the last solution of extension Debye model parameter.
2. the paper oil insulation extension Debye model parameter identification method according to claim 1 based on FDS, it is characterized in that,
Extension Debye model equivalent circuit uses a resistance R0With electric capacity C0Parallel connection, then n RC series arms in parallel are next equivalent.
3. the paper oil insulation extension Debye model parameter identification method according to claim 2 based on FDS, it is characterized in that, n
Value is 6.
4. the paper oil insulation extension Debye model parameter identification method according to claim 3 based on FDS, it is characterized in that,
Telegram in reply holds real part C ' and imaginary part C, and " expression formula is as follows：
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In formula, Ri、CiThe relaxation polarization in series arm equivalent different relaxation times, unit are respectively G Ω, nF；N is RC series connection branch
Way；ω is to test angular frequency, unit：rad/s.
5. the paper oil insulation extension Debye model parameter identification method according to claim 4 based on FDS, it is characterized in that, n
Value is 6.
6. the paper oil insulation extension Debye model parameter identification method according to claim 1 based on FDS, it is characterized in that,
In step S4, the algorithm being combined using particle cluster algorithm with least square method is to above-mentioned extension Debye model parameter identification target
The detailed process that function is iterated solution is：
First with particle cluster algorithm from RANDOM SOLUTION by the rough solution near global search iteration searching optimal solution, and will
Initial value of the solution as least square method, iteration is continued by least square method and determines that meets the optimal of required precision
Solution, the last solution as extension each parameter of Debye model.
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| CN109061407A (en) * | 2018-06-28 | 2018-12-21 | 云南电网有限责任公司保山供电局 | The method for parameter estimation of ZnO valve plate equivalent-circuit model based on FDS |
| CN109142865A (en) * | 2018-07-27 | 2019-01-04 | 福州大学 | Consider the frequency domain spectra discrimination method of paper oil insulation interfacial polarization equivalent circuit parameter |
| CN109885865A (en) * | 2019-01-07 | 2019-06-14 | 长安大学 | A kind of layered medium equivalent electrical parameter calculation method based on iteration Debye model |
| CN110110497A (en) * | 2019-07-05 | 2019-08-09 | 广东电网有限责任公司佛山供电局 | A kind of nondestructive evaluation method of power transmission cable and attachment high frequency electrical parameter |
| CN110175760A (en) * | 2019-05-14 | 2019-08-27 | 福州大学 | A kind of paper oil insulation method for diagnosing status of return voltage and depolarization current composite character amount |
| CN110542816A (en) * | 2019-09-11 | 2019-12-06 | 厦门理工学院 | method for drawing return voltage polarization spectrum, terminal device and storage medium |
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| CN113987909A (en) * | 2021-09-18 | 2022-01-28 | 广东电网有限责任公司广州供电局 | Oil paper insulation aging prediction method and device, computer equipment and storage medium |
| CN114528726A (en) * | 2022-01-10 | 2022-05-24 | 西安交通大学 | Method and device for correcting dielectric spectrum curve of oiled paper insulation frequency domain at time-varying temperature |
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