CN105259425B - The method of testing of the lower transformer oil clearance relative dielectric constant of low frequency sinusoidal excitation - Google Patents

The method of testing of the lower transformer oil clearance relative dielectric constant of low frequency sinusoidal excitation Download PDF

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CN105259425B
CN105259425B CN201510702203.XA CN201510702203A CN105259425B CN 105259425 B CN105259425 B CN 105259425B CN 201510702203 A CN201510702203 A CN 201510702203A CN 105259425 B CN105259425 B CN 105259425B
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transformer oil
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王东阳
周利军
王路伽
江俊飞
刘源
何健
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Southwest Jiaotong University
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Abstract

The invention discloses the method for testing that a kind of low frequency sinusoidal encourages lower transformer oil clearance relative dielectric constant.The DC conductivity σ of transformer oil clearance under temperature T is obtained by test first0Transformer oil clearance intermediate ion mobility [mu], the thickness L of transformer oil clearance, apply the angular frequency that low frequency sinusoidal encourages, then the above-mentioned data measured are substituting in correlation formula and handled, finally obtain the relative dielectric constant of the lower transformer oil clearance of low frequency sinusoidal excitation.The inventive method can be on the basis of transformer oil clearance relative dielectric constant under effectively calculating low frequency sinusoidal excitation, additionally it is possible to reflects the electrode polarization parameter of the lower transformer oil clearance of low frequency sinusoidal excitation.

Description

The method of testing of the lower transformer oil clearance relative dielectric constant of low frequency sinusoidal excitation
Technical field
The invention belongs to transformer insulation state detection field, and in particular to a kind of lower transformer oil clearance of low frequency sinusoidal excitation The method of testing of relative dielectric constant.
Background technology
Oil-filled transformer is the unique selection of main transformer in current super-pressure, extra-high voltage electric transmission and transformation system, oil immersed type The operational reliability of transformer is directly connected to the safety and stability of associate power system, and oil-filled transformer is in power system Nucleus equipment, paper oil insulation state be determine oil-filled transformer insulation life an important factor for one of, frequency domain dielectric response method It is one of accepted method for being capable of efficient diagnosis paper oil insulation moisture and its ageing state.Oil-filled transformer paper oil insulation System is made up of transformer oil clearance, paper web pressing plate and stay etc., and transformer oil clearance is the important component of Oil-Paper Insulation.
When Oil-Paper Insulation carries out the test of frequency domain dielectric response, apply outside sinusoidal excitation voltage by high frequency to low frequency progress by Frequency sweep test, when low-frequency test, the effect of electromagnetic field of transformer oil clearance is to determine Oil-Paper Insulation overall dielectric One of principal element of characteristic, and the main influencing mechanism of effect of electromagnetic field of transformer oil clearance is by electricity inside transformer oil clearance Conductance for alternating current caused by the polarization of pole, therefore in order to more comprehensive research, the lower paper oil insulation system of sign low frequency sinusoidal excitation The effect of electromagnetic field of system, so as to which preferably dielectric spectroscopy method is applied in Practical Project, being badly in need of one kind can either The relative dielectric constant of the lower transformer oil clearance of low frequency sinusoidal excitation is calculated, while and can enough characterizes the lower transformer of low frequency sinusoidal excitation The method of oil clearance electrode polarization parameter.
The content of the invention
In order to calculate the relative dielectric constant of the lower transformer oil clearance of low frequency sinusoidal excitation, while and can enough characterizes low frequency Transformer oil clearance electrode polarization parameter under sinusoidal excitation, the present invention provide a kind of lower transformer oil clearance of low frequency sinusoidal excitation and are situated between relatively The method of testing of electric constant.
A kind of method of testing of the lower transformer oil clearance relative dielectric constant of low frequency sinusoidal excitation, Oil-Paper Insulation frequency domain are situated between The relative dielectric constant and oil clearance electrode polarization parameter of the lower transformer oil clearance of low frequency sinusoidal excitation are obtained in electroresponse test, it is special Sign is, comprises the steps of:
1.1 are passed to following data under test temperature T by the sensor being arranged in experimental provision:Transformer oil clearance it is straight Flow conductivityσ0, transformer oil clearance intermediate ion mobility [mu], the thickness L of transformer oil clearance;Measurement obtains applying low frequency sinusoidal excitation Angular frequency;
1.2 by the data input that above-mentioned test obtains into the model (1) in computing unit, obtain low frequency sinusoidal excitation under The relative dielectric constant of transformer oil clearance:
In formula, q is unit electric charge carried charge, k=1.38 × 10-23J/K is Boltzmann constant, εr=2.2 be transformer Oily power frequency relative dielectric constant, ε 0=8.85 × 10-12F/m is permittivity of vacuum, ε 'f、ε”fRespectively apply sinusoidal excitation The relative dielectric constant real part of transformer oil clearance, relative dielectric constant imaginary part, ε ' during frequency f=0.1Hzr(ω)、ε”r(ω) point Not Wei angular frequency be ω the relative dielectric constant real part of the lower transformer oil clearance of low frequency sinusoidal excitation, relative dielectric constant imaginary part;
The data in model (2) of 1.2 the data obtaineds in computing unit, obtained are substituted into following formula by 1.3 can then obtain low frequency The relaxation time τ of transformer oil clearance electrode polarization under sinusoidal excitationEPWith electrode polarization polarization layer thickness LD
1.4 will export to subsequent processing units or result display unit obtained by 1.2 and 1.3 steps.
The formulation process of method of testing of the present invention is as follows:
When transformer oil clearance does not apply outside sinusoidal excitation, the transformer oil in transformer oil clearance has when reaching thermal balance:
In formula, n+、n-Respectively negative ion concentrations in transformer oil clearance, transformer oil clearance reach during thermal balance it is positive and negative from The equal concentration of son is n0, σ0For the DC conductivity of transformer oil clearance, q is unit electric charge institute carried charge.When application low frequency sinusoidal During driving voltage, transformer oil clearance internal electrode polarization process can be completed and transformer oil clearance inner ion concentration balances again Required relaxation time τEPFor:
In formula, k=1.38 × 10-23J/K is Boltzmann constant, εr=2.2 be that transformer oil power frequency is normal with respect to dielectric Number, ε0=8.85 × 10-12F/m is permittivity of vacuum, and T is the temperature of transformer oil clearance.Now, caused by near electrode Polarization layer thickness LDFor:
Formula (3) is substituted into formula (4), formula (5) can obtain:
Electrode polarization parameter shown in formula (6) is updated in Debye relaxation models, relative Jie of transformer oil can be obtained Electric constant expresses equation:
ω is applied voltage angular frequency in formula, Δ εEPExpression formula is:
ΔεEP=(L/2LD-1)εr (8)
Formula (6) is substituted into formula (7) to obtain
In view of before galvanic polarization, due to the effect of the dipole pilot polarization inside transformer oil clearance etc., Its dielectric parameter has occurred and that change, and the time scale of ion warm-up movement, then formula (9) should be rewritten as:
In formula, ε 'f、ε”fThe relative dielectric constant of transformer oil clearance is real when respectively applying the frequency f=0.1Hz of excitation Portion, relative dielectric constant imaginary part.
The present invention can calculate the relative dielectric constant of the lower transformer oil clearance of low frequency sinusoidal excitation, at the same and can enough characterize it is low Transformer oil clearance electrode polarization parameter under frequency sinusoidal excitation, help more comprehensively to study, characterize the lower change of low frequency sinusoidal excitation The effect of electromagnetic field of depressor oil clearance, so as to which preferably dielectric spectroscopy method is applied in Practical Project.
Brief description of the drawings
A kind of method of testing flow chart of the lower transformer oil clearance relative dielectric constant of low frequency sinusoidal excitations of Fig. 1
A kind of method of testing example of the lower transformer oil clearance relative dielectric constant of low frequency sinusoidal excitations of Fig. 2
Embodiment
The invention will be further described below in conjunction with the accompanying drawings:
Fig. 1 show a kind of method of testing flow chart of the lower transformer oil clearance relative dielectric constant of low frequency sinusoidal excitation.From A kind of method of testing of the lower transformer oil clearance relative dielectric constant of low frequency sinusoidal excitation of it can be seen from the figure that mainly includes following step Suddenly:
1.1 tests obtain the temperature T of transformer oil clearance;
Under 1.2 test temperature T, the DC conductivity σ of transformer oil clearance0, transformer oil clearance intermediate ion mobility [mu];
The thickness L of 1.3 measuring transformer oil clearances;
1.4 measurements apply the angular frequency of low frequency sinusoidal excitation;
1.5 data for obtaining above-mentioned test substitute into following formula, obtain relative Jie of the lower transformer oil clearance of low frequency sinusoidal excitation Electric constant:
In formula, q is unit electric charge carried charge, k=1.38 × 10-23J/K is Boltzmann constant, εr=2.2 be transformer Oily power frequency relative dielectric constant, ε0=8.85 × 10-12F/m is permittivity of vacuum, ε 'f、ε”fRespectively apply the frequency of excitation The relative dielectric constant real part of transformer oil clearance, relative dielectric constant imaginary part, ε ' during f=0.1Hzr(ω)、ε”r(ω) is respectively The relative dielectric constant real part for the lower transformer oil clearance of low frequency sinusoidal excitation that angular frequency is ω, relative dielectric constant imaginary part.
Low frequency sinusoidal excitation can be obtained while transformer oil clearance relative dielectric constant under calculating low frequency sinusoidal excitation The parameter of bottom electrode polarization, i.e., the lower transformer oil clearance of low frequency sinusoidal excitation can then be obtained by the data that above-mentioned test obtains being substituted into following formula The relaxation time τ of electrode polarizationEPWith electrode polarization polarization layer thickness LD
Fig. 2 show a kind of method of testing example of the lower transformer oil clearance relative dielectric constant of low frequency sinusoidal excitation.Measure Transformer oil clearance temperature is 30 DEG C, and it is 7.23 × 10 to measure transformer oil clearance DC conductivity at 30 DEG C-13S/m, transformation at 30 DEG C Device oil clearance intermediate ion mobility is 1.73 × 10-10m2/ Vs, the thickness 0.5mm of oil clearance, when to apply driving voltage frequency outside be 0.1Hz Measuring transformer oil clearance relative dielectric constant is:ε'f=3.86, ε "f=0.8.Calculated as shown in Figure 2 using the inventive method The lower transformer oil clearance relative permittivity value of low frequency sinusoidal excitation preferably can meet with experiment test value, calculated value and actual measurement It is worth error in 5%, in tolerance interval, while the transformer oil clearance electricity under environment described in example can be obtained in calculating process Pole polarization parameter is:The relaxation time τ of electrode polarizationEPFor 824s, polarization layer thickness is about 0.018mm.Then illustrate present invention side Method can effectively obtain the lower transformer oil clearance relative permittivity value of low frequency sinusoidal excitation, while and can accesses sign low frequency The parameter of transformer oil clearance electrode polarization under sinusoidal excitation.

Claims (1)

1. a kind of method of testing of the lower transformer oil clearance relative dielectric constant of low frequency sinusoidal excitation, Oil-Paper Insulation frequency domain dielectric The relative dielectric constant and oil clearance electrode polarization parameter of the lower transformer oil clearance of low frequency sinusoidal excitation, its feature are obtained in response test It is, comprises the steps of:
1.1 are passed to following data under test temperature T by the sensor being arranged in experimental provision:The direct current of transformer oil clearance Conductance σ0, transformer oil clearance intermediate ion mobility [mu], the thickness L of transformer oil clearance, measure and obtain the angle for applying low frequency sinusoidal excitation Frequencies omega;
1.2 by the data input that above-mentioned test obtains into the model (1) in computing unit, obtain the lower transformation of low frequency sinusoidal excitation The relative dielectric constant of device oil clearance:
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msubsup> <mi>&amp;epsiv;</mi> <mi>r</mi> <mo>&amp;prime;</mo> </msubsup> <mrow> <mo>(</mo> <mi>&amp;omega;</mi> <mo>)</mo> </mrow> <mo>=</mo> <msup> <msub> <mi>&amp;epsiv;</mi> <mi>f</mi> </msub> <mo>&amp;prime;</mo> </msup> <mo>+</mo> <mfrac> <mrow> <msub> <mi>&amp;epsiv;</mi> <mi>r</mi> </msub> <mi>L</mi> <msup> <mrow> <mo>(</mo> <msubsup> <mi>q&amp;sigma;</mi> <mn>0</mn> <mn>3</mn> </msubsup> <mi>&amp;mu;</mi> <mi>k</mi> <mi>T</mi> <mo>/</mo> <mn>2</mn> <msub> <mi>&amp;epsiv;</mi> <mi>r</mi> </msub> <msub> <mi>&amp;epsiv;</mi> <mn>0</mn> </msub> <mo>)</mo> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msup> <mo>-</mo> <mn>2</mn> <msub> <mi>&amp;sigma;</mi> <mn>0</mn> </msub> <msub> <mi>&amp;mu;kT&amp;epsiv;</mi> <mi>r</mi> </msub> </mrow> <mrow> <mn>2</mn> <msub> <mi>&amp;sigma;</mi> <mn>0</mn> </msub> <mi>&amp;mu;</mi> <mi>k</mi> <mi>T</mi> <mo>+</mo> <msup> <mi>&amp;omega;</mi> <mn>2</mn> </msup> <msup> <mi>L</mi> <mn>2</mn> </msup> <msub> <mi>&amp;epsiv;</mi> <mi>r</mi> </msub> <msub> <mi>&amp;epsiv;</mi> <mn>0</mn> </msub> <mi>q</mi> </mrow> </mfrac> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msubsup> <mi>&amp;epsiv;</mi> <mi>r</mi> <mrow> <mo>&amp;prime;</mo> <mo>&amp;prime;</mo> </mrow> </msubsup> <mrow> <mo>(</mo> <mi>&amp;omega;</mi> <mo>)</mo> </mrow> <mo>=</mo> <msup> <msub> <mi>&amp;epsiv;</mi> <mi>f</mi> </msub> <mrow> <mo>&amp;prime;</mo> <mo>&amp;prime;</mo> </mrow> </msup> <mo>+</mo> <mfrac> <mrow> <msub> <mi>&amp;sigma;</mi> <mn>0</mn> </msub> <msup> <mi>&amp;omega;L</mi> <mn>2</mn> </msup> <msub> <mi>q&amp;epsiv;</mi> <mi>r</mi> </msub> <mo>/</mo> <mn>2</mn> <mo>-</mo> <msub> <mi>&amp;epsiv;</mi> <mi>r</mi> </msub> <mi>&amp;omega;</mi> <mi>L</mi> <msup> <mrow> <mo>(</mo> <mn>2</mn> <msub> <mi>&amp;sigma;</mi> <mn>0</mn> </msub> <msub> <mi>&amp;mu;kT&amp;epsiv;</mi> <mi>r</mi> </msub> <msub> <mi>&amp;epsiv;</mi> <mn>0</mn> </msub> <mi>q</mi> <mo>)</mo> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msup> </mrow> <mrow> <mn>2</mn> <msub> <mi>&amp;sigma;</mi> <mn>0</mn> </msub> <mi>&amp;mu;</mi> <mi>k</mi> <mi>T</mi> <mo>+</mo> <msup> <mi>&amp;omega;</mi> <mn>2</mn> </msup> <msup> <mi>L</mi> <mn>2</mn> </msup> <msub> <mi>&amp;epsiv;</mi> <mi>r</mi> </msub> <msub> <mi>&amp;epsiv;</mi> <mn>0</mn> </msub> <mi>q</mi> </mrow> </mfrac> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
In formula, q is unit electric charge carried charge, k=1.38 × 10-23J/K is Boltzmann constant, εr=2.2 be transformer oil work Frequency relative dielectric constant, ε0=8.85 × 10-12F/m is permittivity of vacuum, ε 'f、ε″fRespectively apply the frequency of sinusoidal excitation The relative dielectric constant real part of transformer oil clearance, relative dielectric constant imaginary part, ε ' during f=0.1Hzr(ω)、ε″r(ω) is respectively The relative dielectric constant real part for the lower transformer oil clearance of low frequency sinusoidal excitation that angular frequency is ω, relative dielectric constant imaginary part, T is survey Try temperature, σ0For the DC conductivity of transformer oil clearance, μ is transformer oil clearance intermediate ion mobility, and L is the thickness of transformer oil clearance Degree, ω are the angular frequency for applying low frequency sinusoidal excitation;
The data in model (2) of the 1.2 step the data obtaineds in computing unit, obtained are substituted into following formula by 1.3 can then obtain low frequency The relaxation time τ of transformer oil clearance electrode polarization under sinusoidal excitationEPWith electrode polarization polarization layer thickness LD
<mrow> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>&amp;tau;</mi> <mrow> <mi>E</mi> <mi>P</mi> </mrow> </msub> <mo>=</mo> <mi>L</mi> <msup> <mrow> <mo>(</mo> <mfrac> <mrow> <msub> <mi>&amp;epsiv;</mi> <mi>r</mi> </msub> <msub> <mi>&amp;epsiv;</mi> <mn>0</mn> </msub> <mi>q</mi> </mrow> <mrow> <mn>2</mn> <msub> <mi>&amp;sigma;</mi> <mn>0</mn> </msub> <mi>&amp;mu;</mi> <mi>k</mi> <mi>T</mi> </mrow> </mfrac> <mo>)</mo> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>L</mi> <mi>D</mi> </msub> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mfrac> <mrow> <mn>2</mn> <msub> <mi>&amp;epsiv;</mi> <mi>r</mi> </msub> <msub> <mi>&amp;epsiv;</mi> <mn>0</mn> </msub> <mi>k</mi> <mi>T</mi> <mi>&amp;mu;</mi> </mrow> <mrow> <msub> <mi>q&amp;sigma;</mi> <mn>0</mn> </msub> </mrow> </mfrac> <mo>)</mo> </mrow> <mrow> <mn>1</mn> <mo>/</mo> <mn>2</mn> </mrow> </msup> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow>
In formula, q is unit electric charge carried charge, k=1.38 × 10-23J/K is Boltzmann constant, εr=2.2 be transformer oil work Frequency relative dielectric constant, ε0=8.85 × 10-12F/m is permittivity of vacuum, and T is test temperature, σ0For the straight of transformer oil clearance Electrical conductivity is flowed, μ is transformer oil clearance intermediate ion mobility, and L is the thickness of transformer oil clearance, and ω is to apply low frequency sinusoidal excitation Angular frequency;
1.4 will export to subsequent processing units or result display unit obtained by 1.2 steps and 1.3 steps.
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