CN105116230B - A kind of method of use multi-frequency measurement in a closed series earthing or grounding means impulse earthed resistance - Google Patents

A kind of method of use multi-frequency measurement in a closed series earthing or grounding means impulse earthed resistance Download PDF

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CN105116230B
CN105116230B CN201510512995.4A CN201510512995A CN105116230B CN 105116230 B CN105116230 B CN 105116230B CN 201510512995 A CN201510512995 A CN 201510512995A CN 105116230 B CN105116230 B CN 105116230B
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mrow
msup
msub
mfrac
grounding
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CN201510512995.4A
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CN105116230A (en
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马御棠
曹晓斌
周仿荣
高竹清
王科
于虹
杜俊乐
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云南电网有限责任公司电力科学研究院
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Abstract

The invention discloses a kind of method of use multi-frequency measurement in a closed series earthing or grounding means impulse earthed resistance, the present invention is by testing measurement and numerical computations, it was found that being used as excitation by carrying out the sinusoidal waveform after Fourier decomposition to lightning current waveform, the lightning impulse response of transient state can be converted into the response of stable state by being carried on earthing or grounding means, the result easily studied under voltage, the current-responsive rule of earthing or grounding means, the result and lightning impulse that will be obtained after obtained response inversefouriertransform is basically identical.Measuring method proposed by the present invention can achieve a butt joint ground device impulse earthed resistance accurate assessment, and guide carry out grounding reconstruction, it is ensured that the safety of personnel and equipment.

Description

A kind of method of use multi-frequency measurement in a closed series earthing or grounding means impulse earthed resistance
Technical field
The present invention relates to a kind of method of use multi-frequency measurement in a closed series earthing or grounding means impulse earthed resistance, this method is applicable In the measurement of the earthing or grounding means such as transformer station, electric power line pole tower, belong to Hyper-Voltage of Power Systems field.
Background technology
Lightning surge is to cause the one of the main reasons of transmission line of electricity tripping fault, transformer station and transmission line of electricity bar at present Tower earthing or grounding means is to protect power system security reliability service, protect the important measures of personal security nearby.Accurate evaluation is grounded The impulse earthed resistance of device is for rationally design transformer station and overhead line structures grounding body pattern and reduction impulse earthed resistance With important directive significance.Existing research is concentrated mainly on simulated experiment and the impact by simulation study earthing or grounding means The size of grounding resistance.Due to the finite capacity of current surge-power generator, it is impossible to accomplish the experimental condition of true type experiment, and What soil resistivity took substantially when being calculated with simulation software is uniform soil, and result of calculation there will certainly be with actual conditions Error.Existing experiment and simulation calculation are difficult the accurate impulse earthed resistance for calculating earthing or grounding means.
The present invention is had found by being carried out to lightning current waveform after Fourier decomposition just by testing measurement and numerical computations String waveform is as excitation, and the lightning impulse response of transient state can be converted into the response of stable state by being carried on earthing or grounding means, more be held Voltage, the current-responsive rule of earthing or grounding means are easily studied, by the result and thunder and lightning that are obtained after obtained response inversefouriertransform Result under impact is basically identical.
Measuring method proposed by the present invention can achieve a butt joint the accurate assessment of ground device impulse earthed resistance, and refer to Lead carry out grounding reconstruction, it is ensured that the safety of personnel and equipment.
The content of the invention
It is an object of the invention to provide the test method of the impulse earthed resistance of accurate evaluation thunderbolt earthing or grounding means, use This method can be used for the impulse earthed resistance of accurate evaluation earthing or grounding means, and guide carry out grounding reconstruction, it is ensured that personnel are with setting Standby safety.
The technical solution adopted for the present invention to solve the technical problems comprises the following steps:
The first step, carries out Fourier transformation to lightning current waveform expression formula, obtains the spectrum expression formula of lightning current waveform;This The lightning current waveform expression formula used is invented for double-exponential function:
I (t)=Im(e-αt-e-βt)
Wherein ImFor the amplitude of lightning current, its value is to take 10kA in any positive integer, the present invention.Due to domestic many documents (with reference to article《By the transient state Potential distribution of transmission tower when being struck by lightning and its earthing or grounding means》With《Consider the shaft tower of spark discharge Impulse grounding characteristic computing method》) standard lightning current waveform is calculated using 2.6/50 μ s, therefore the present invention also uses standard The μ s of lightning current waveform 2.6/50 are calculated.When using 2.6/50 μ s of lightning current reference waveform, α=14790.2, β in formula= 1877833 (computational methods reference articles《The spectrum analysis and its application of standard thunder and lightning waveform》).The function is subjected to Fourier After conversion, its spectrum expression formula is:
Second step, determines measuring fundamental frequency f:
And its integer multiple frequency harmonic wave fi=i*f;Wherein T is the wavelength of lightning current, i=0,1 ..., n;Work as lightning current wave When shape uses 2.6/50 μ s, T=50 μ s, n=120.
3rd step, the frequency that lightning current is provided by second step is decomposed, and obtains the corresponding time domain of each frequency current Function expression is:
Wherein
ωi=2 π fi
4th step, to earthing or grounding means to be measured, measurement is surveyed using the three electrode method wire laying mode advised in DL475-1992 codes Power supply variable frequency alternating current power source is measured, its frequency is adjusted to the frequency that second step is provided one by one, measurement is obtained in f0To f120Each The current amplitude A ' of power supply output under frequencyi, and corresponding Stable State of Sine response voltage magnitude Bi, voltage and input current phase Potential difference ψi, obtaining time domain response voltage expression under the frequency is:
5th step, the response voltage expression that the 4th step is obtained into each frequency carries out cumulative summation, obtains earthing or grounding means Lightning impulse response voltage approximate expression be:
6th step, draws the oscillogram that the 5th step lightning impulse responds voltage expression, and shock response electricity is read from figure Pressure amplitude value umax, and earthing or grounding means impulse earthed resistance R is obtained by following formula calculatingch
In above-mentioned steps, measured wiring method uses the angle-off set advised in DL475-1992 codes in the 4th step.
In above-mentioned steps, realized when the 6th step is drawn using EXCEL or the MATHEMATICK software for possessing drawing function.
Brief description of the drawings
The present invention is further illustrated with reference to the accompanying drawings and examples.
Accompanying drawing 1 is 2.6/50 μ s standard lightning current waveforms.
It is sinusoidal excitation, d at u that accompanying drawing 2, which is measured for three electrode method in the test philosophy figure of grounding body voltage responsive, figure,12Away from From should be d130.618 times.
Accompanying drawing 3 is to calculate obtained shock response voltage waveform according to the 6th step formula using MATLAB.
Embodiment
Below by case study on implementation, with reference to accompanying drawing 1, accompanying drawing 2, accompanying drawing 3 introduces embodiment in scene.
The first step, to the μ s of lightning current reference waveform 2.6/50, is shown in accompanying drawing 1, carries out Fourier transformation, obtain lightning current waveform Spectrum expression formula;
ImTake α=14790.2, β=1877833 in 10kA, formula.
Second step, determines measuring fundamental frequency f:
And its integer multiple frequency harmonic wave fi=i*f;
Wherein T=50 μ s, f1=20000Hz, fi=i*20000Hz, i=0,1 ..., n;N=120.
3rd step, the frequency that lightning current is provided by second step is decomposed, and obtains the corresponding time domain of each frequency current Function expression is:
Wherein
ωi=2 π fi f1=20000Hz, fi=i*20000Hz, i=0,1 ..., n;N=120.
4th step, is measured to electric power line pole tower to be measured, and measurement is using three poles advised in DL475-1992 codes Method wire laying mode, is shown in accompanying drawing 2, measures power supply variable frequency alternating current power source, its frequency is adjusted into the frequency that second step is provided one by one, The current amplitude of power supply output is 10A, and measurement is obtained in f0To f120Corresponding Stable State of Sine response voltage magnitude under each frequency Bi, voltage and input current phase difference ψi, obtaining time domain response voltage expression under the frequency is:
I=0 in formula, 1 ... ..., 120;
5th step, the response voltage expression that the 4th step is obtained into each frequency carries out cumulative summation, obtains transmission line of electricity The lightning impulse of tower grounding body responds voltage approximate expression:
6th step, draws the oscillogram that the 5th step lightning impulse responds voltage expression using MATLAB softwares, sees accompanying drawing 3, shock response voltage magnitude u is read from figuremax, the lightning current shock response voltage amplitude in the case of this kind is obtained by calculating It is worth for 342.44kV;
And the impulse earthed resistance R for obtaining electric power line pole tower grounding body is calculated by following formulach
Then the impulse earthed resistance of grounding body is in the case of this kind:

Claims (4)

1. a kind of method of use multi-frequency measurement in a closed series earthing or grounding means impulse earthed resistance, it is characterised in that including following step Suddenly:
The first step carries out Fourier transformation to lightning current waveform expression formula, obtains the spectrum expression formula of lightning current waveform;Use Lightning current waveform expression formula is double-exponential function:
I (t)=Im(e-αt-e-βt)
Wherein ImFor the amplitude of lightning current, its value is any positive integer;When lightning current waveform uses 2.6/50 μ s, α is ripple in formula Preceding attenuation coefficient, α=14790.2, β is wave rear attenuation coefficient, β=1877833;The function is carried out after Fourier transformation, its Spectrum expression formula is:
<mrow> <mi>i</mi> <mrow> <mo>(</mo> <mi>&amp;omega;</mi> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>I</mi> <mi>m</mi> </msub> <mrow> <mo>(</mo> <mfrac> <mi>&amp;alpha;</mi> <mrow> <msup> <mi>&amp;alpha;</mi> <mn>2</mn> </msup> <mo>+</mo> <msup> <mi>&amp;omega;</mi> <mn>2</mn> </msup> </mrow> </mfrac> <mo>-</mo> <mfrac> <mi>&amp;beta;</mi> <mrow> <msup> <mi>&amp;beta;</mi> <mn>2</mn> </msup> <mo>+</mo> <msup> <mi>&amp;omega;</mi> <mn>2</mn> </msup> </mrow> </mfrac> <mo>-</mo> <mfrac> <mrow> <mi>j</mi> <mi>&amp;omega;</mi> </mrow> <mrow> <msup> <mi>&amp;alpha;</mi> <mn>2</mn> </msup> <mo>+</mo> <msup> <mi>&amp;omega;</mi> <mn>2</mn> </msup> </mrow> </mfrac> <mo>+</mo> <mfrac> <mrow> <mi>j</mi> <mi>&amp;omega;</mi> </mrow> <mrow> <msup> <mi>&amp;beta;</mi> <mn>2</mn> </msup> <mo>+</mo> <msup> <mi>&amp;omega;</mi> <mn>2</mn> </msup> </mrow> </mfrac> <mo>)</mo> </mrow> </mrow>
Second step, determines measuring fundamental frequency f:
<mrow> <mi>f</mi> <mo>=</mo> <mfrac> <mn>1</mn> <mi>T</mi> </mfrac> </mrow>
And its integer multiple frequency harmonic wave fi=i*f;Wherein cycle T takes the wavelength of lightning current, i=0,1 ..., n;Work as lightning current waveform During using 2.6/50 μ s, T=50 μ s, n=120;
3rd step, the frequency that lightning current is provided by second step is decomposed, and obtains the corresponding time-domain function of each frequency current Expression formula is:
Wherein
ωi=2 π fi
<mrow> <mi>P</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;omega;</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>I</mi> <mi>m</mi> </msub> <mrow> <mo>(</mo> <mfrac> <mi>&amp;alpha;</mi> <mrow> <msup> <mi>&amp;alpha;</mi> <mn>2</mn> </msup> <mo>+</mo> <msup> <msub> <mi>&amp;alpha;</mi> <mi>i</mi> </msub> <mn>2</mn> </msup> </mrow> </mfrac> <mo>-</mo> <mfrac> <mi>&amp;beta;</mi> <mrow> <msup> <mi>&amp;beta;</mi> <mn>2</mn> </msup> <mo>+</mo> <msup> <msub> <mi>&amp;omega;</mi> <mi>i</mi> </msub> <mn>2</mn> </msup> </mrow> </mfrac> <mo>)</mo> </mrow> </mrow>
<mrow> <mi>Q</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;omega;</mi> <mi>i</mi> </msub> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>I</mi> <mi>m</mi> </msub> <mrow> <mo>(</mo> <mfrac> <msub> <mi>&amp;omega;</mi> <mi>i</mi> </msub> <mrow> <msup> <mi>&amp;beta;</mi> <mn>2</mn> </msup> <mo>+</mo> <msup> <msub> <mi>&amp;omega;</mi> <mi>i</mi> </msub> <mn>2</mn> </msup> </mrow> </mfrac> <mo>-</mo> <mfrac> <msub> <mi>&amp;omega;</mi> <mi>i</mi> </msub> <mrow> <msup> <mi>&amp;alpha;</mi> <mn>2</mn> </msup> <mo>+</mo> <msup> <msub> <mi>&amp;omega;</mi> <mi>i</mi> </msub> <mn>2</mn> </msup> </mrow> </mfrac> <mo>)</mo> </mrow> </mrow>
4th step, to earthing or grounding means to be measured, measurement is using the three electrode method wire laying mode advised in DL475-1992 codes, measurement electricity Source variable frequency alternating current power source, the frequency that second step is provided is adjusted to by its frequency one by one, records what power supply under each frequency was exported Current amplitude A 'i, and corresponding Stable State of Sine response voltage magnitude BiAnd voltage and input current phase difference ψi, obtain the frequency Lower time domain response voltage expression is:
5th step, the response voltage expression that the 4th step is obtained into each frequency carries out cumulative summation, obtains the thunder of earthing or grounding means Surge responds voltage approximate expression:
6th step, draws the oscillogram that the 5th step lightning impulse responds voltage expression, shock response voltage amplitude is read from figure Value umax, and the impulse earthed resistance R for obtaining earthing or grounding means is calculated by following formulach
<mrow> <msub> <mi>R</mi> <mrow> <mi>c</mi> <mi>h</mi> </mrow> </msub> <mo>=</mo> <mfrac> <msub> <mi>u</mi> <mrow> <mi>m</mi> <mi>a</mi> <mi>x</mi> </mrow> </msub> <msub> <mi>I</mi> <mi>m</mi> </msub> </mfrac> <mo>.</mo> </mrow>
2. a kind of method of use multi-frequency measurement in a closed series earthing or grounding means impulse earthed resistance according to claim 1, its It is characterised by, measured wiring method uses the angle-off set advised in DL475-1992 codes in the 4th step.
3. a kind of method of use multi-frequency measurement in a closed series earthing or grounding means impulse earthed resistance according to claim 1, its It is characterised by, the software that can be possessed drawing function using EXCEL or MATHEMATICK when the 6th step is drawn is realized.
4. a kind of method of use multi-frequency measurement in a closed series earthing or grounding means impulse earthed resistance according to claim 1, its It is characterised by, the earthing or grounding means of earthing or grounding means of the earthing or grounding means comprising electric power line pole tower and transmission transformer station.
CN201510512995.4A 2015-08-20 2015-08-20 A kind of method of use multi-frequency measurement in a closed series earthing or grounding means impulse earthed resistance CN105116230B (en)

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CN105842542A (en) * 2016-04-13 2016-08-10 云南电网有限责任公司电力科学研究院 Grounding device impacted grounding resistance measuring method and system
CN107102208B (en) * 2017-04-25 2019-08-02 南方电网科学研究院有限责任公司 A kind of measurement method and device of impulse earthed resistance
CN110007180A (en) * 2018-01-05 2019-07-12 深圳康普盾科技股份有限公司 A kind of ground line connection reliability test method and device
CN109613340A (en) * 2019-01-24 2019-04-12 贵州电网有限责任公司 A kind of impulse earthed resistance calculation method with spark thorn

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