CN102539963B - Method for selecting equivalent continuous operating voltage of lightning arrester at harmonic voltage - Google Patents
Method for selecting equivalent continuous operating voltage of lightning arrester at harmonic voltage Download PDFInfo
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Abstract
The invention discloses a method for selecting the equivalent continuous operating voltage of a lightning arrester at harmonic voltage. The method is mainly characterized by comprising the following steps: firstly, average power absorbed by the lightning arrester under the action of a synthetic harmonic wave and a single harmonic wave is computed by using a fourier series expansion formula; then, characteristic data of frequency-chargeability q-average power Pk, q, t of the lightning arrester at different temperatures is measured by a test; a characteristic curve of frequency-chargeability- average power consumption of the lightning arrester at set temperature is drawn out; and finally, the equivalent continuous operating voltage of the lightning arrester at the harmonic voltage is selected for the lightning arrester by computation. According to the method, the equivalent continuous operating voltage of the lightning arrester under the action of the harmonic voltage can be estimated and selected more accurately; the difficulties that the harmonic voltage withstood by the lightning arrester is complicated and the action of the synthetic harmonic wave on the lightning arrester cannot be simulated in a laboratory for selecting the equivalent continuous operating voltage are solved; a necessary and scientific test basis can be provided for the design and the test of the lightning arrester; a reliable precondition can be provided for ensuring the heat balance of the lightning arrester; and moreover, the method has the advantages of simple and quick computation and accurate and reliable data computation.
Description
Technical field
The invention belongs to electric system lightning arrester technical field, is a kind of method for selecting equivalent continuous operating voltage of lightning arrester at harmonic voltage.
Background technology
Compare with the effect of power frequency (50Hz) voltage, under higher harmonic voltage effect, the polarization current of metal oxide resistance is larger, and lightning arrester need to absorb more energy, produces higher heat.Therefore, the lightning arrester moving under harmonic voltage, when design and test, must consider the effect of harmonic voltage, guarantees the thermal equilibrium of lightning arrester.
The harmonic voltage that lightning arrester in Practical Project bears is more complicated, comprises a plurality of harmonic voltages.Under lab, hardly may the effect of analog synthesis harmonic wave to lightning arrester.The relevant criterion of lightning arrester (as GB/T 25083-2010 ± 800kV straight-flow system metal oxide arrester) has been stipulated to determine that under harmonic voltage effect, lightning arrester equivalence continuous running voltage is ECOV (Equivalent continuous operating voltage) by the method for calculating or by the method in special test loop.
Summary of the invention
The object of the invention is to adopt the mathematic calculation of Fourier series frequency analysis and a kind of method that lightning arrester equivalence continuous running voltage is chosen in test.
Realizing the technical scheme that object of the present invention takes is: under a kind of harmonic voltage, lightning arrester equivalence continues
The choosing method of working voltage is to click method step to carry out:
1) calculate the average power that lightning arrester absorbs under synthetic harmonic wave and single harmonic component effect:
A. by following Fourier expansion formula, calculate and be applied to the non-sinusoidal periodic voltage on lightning arrester:
In formula: u non-sinusoidal periodic voltage,
K overtone order,
U
kmthe peak value of k subharmonic voltage,
ω
1fundamental voltage angular frequency,
φ
ukthe initial angle of k subharmonic voltage;
B. by following Fourier expansion formula, calculate and be applied to the non-sinusoidal periodic current on lightning arrester:
In formula: i non-sinusoidal periodic current,
K overtone order,
I
kmthe peak value of k subharmonic current,
ω
1fundamental current angular frequency,
φ
ikthe initial angle of k subharmonic current;
C. the instantaneous power absorbing by following formula calculating any time lightning arrester,
In formula: the instantaneous power of P any time;
D. by following formula, calculate the average power in a cycle T:
If the above-mentioned integration of the sinusoidal voltage of different frequency and electric current product is zero, do not produce average power; If the above-mentioned integration of the sinusoidal voltage of same frequency and electric current product is non-vanishing, the average power of the synthetic harmonic wave of lightning arrester is the algebraic sum of each single harmonic component average power, that is:
P=U
1I
1cosψ
1+ U
2I
2cosψ
2+… +…+U
kI
kcosψ
k +…
In formula: U
k=U
km/
the effective value that represents k subharmonic voltage,
I
k=I
km/
the effective value that represents k subharmonic current,
ψ
k=φ
uk-φ
ikthe phase differential that represents k subharmonic voltage and electric current,
Also be P=P
1+ P
2+ ... + ... + P
k+
p in formula
k=U
ki
kcos ψ
kthe power that represents the lightning arrester absorption of k subharmonic;
2) draw the lightning arrester frequency-chargeability-average power consumption family curve under design temperature:
Test and record the frequency-chargeability q-average power P of lightning arrester under different temperatures
k, q, tperformance data, and draw lightning arrester frequency-chargeability-average power performance data table and/or the frequency-chargeability-average power performance diagram under different temperatures;
3) choose lightning arrester at equivalent continuous operating voltage of lightning arrester at harmonic voltage:
A. the harmonic voltage peak value U analyzing according to the harmonic voltage of lightning arrester in Practical Project
kmwith overtone order k, calculate the independent chargeability q of each harmonic wave
k;
B. in the lightning arrester frequency-chargeability-average power performance data table and/or frequency-chargeability-average power performance diagram under design temperature, look into respectively the average power P getting under each harmonic wave
k, q,;
C. by the average power P under all harmonic waves
k, q, tbe added, calculate total average power of lightning arrester;
D. in the lightning arrester frequency-chargeability-average power performance data table and/or frequency-chargeability-average power performance diagram under design temperature, find under power-frequency voltage effect, and meet the chargeability of following formula, with q
k=1represent:
P
50Hz ≥ ∑P
k,q,t
In formula: P
50Hzrepresent the average power under power-frequency voltage
E. by following formula, calculate the DC reference voltage of lightning arrester, with U
refrepresent:
U
ref = U
SIPL/k
30/60μs
Wherein: U
sIPLthe residual voltage of lightning arrester under cooperation electric current;
K
30/60 μ sthe switching impulse current residual voltage ratio of metal oxide resistance;
F. by following formula, calculate the equivalent continuous operating voltage of lightning arrester at harmonic voltage of choosing lightning arrester:
U
m, ECOV = q
k=1× U
ref
Calculate U
m, ECOVvalue be equivalent continuous operating voltage of lightning arrester at harmonic voltage.
The choosing method of equivalent continuous operating voltage of lightning arrester at harmonic voltage of the present invention, adopt strict mathematical reasoning, in conjunction with test figure, can calculate more accurately the lightning arrester equivalence continuous running voltage of choosing under harmonic voltage effect, solved the harmonic voltage complexity that lightning arrester bears, under lab analog synthesis harmonic wave carries out to the effect of lightning arrester the difficult problem that equivalent continuous running voltage is chosen, and can provide test basis necessary, science for design and the test of lightning arrester; For guaranteeing that the thermal equilibrium of lightning arrester provides reliable precondition.And the method is calculated simple and efficient, computational data accurately and reliably.
Embodiment
Lightning arrester equivalence continuous running voltage choosing method under harmonic voltage effect of the present invention, adopt strict mathematical reasoning, in conjunction with test figure, can calculate more accurately the lightning arrester equivalence continuous running voltage (being ECOV) of choosing under harmonic voltage effect, for the design of lightning arrester and test provide test basis necessary, science, specifically carry out by the following method:
The first step, calculate the average power that under synthetic harmonic wave and single harmonic component effect, lightning arrester absorbs:
The mathematical principle that this step is used is: the synthetic available Fourier expansion of harmonic wave (non-sinusoidal cycle harmonic wave), the product cycle integrated of the sinusoidal voltage of different frequency and electric current is zero, therefore the average power of synthetic harmonic wave is the algebraic sum of each single harmonic component average power, circular is:
First by Fourier expansion formula, calculate non-sinusoidal periodic voltage and the non-sinusoidal periodic current being applied on lightning arrester, then according to the non-sinusoidal periodic voltage that calculates and non-sinusoidal periodic current, calculate any time instantaneous power that absorbs of lightning arrester; Finally calculate an average power in cycle T.Known according to orthogonality of trigonometric function principle, the cycle integrated of the sinusoidal voltage of different frequency and electric current product is zero, and only have the sinusoidal voltage of same frequency and the cycle integrated of electric current product non-vanishing, therefore the average power of the synthetic harmonic wave of lightning arrester is the algebraic sum of each single harmonic component average power
Lightning arrester frequency-chargeability-average power consumption family curve under second step, drafting design temperature:
According to conventional method, test, and according to the lightning arrester recording the frequency under different temperatures (harmonic wave k=1,2,3,4)-chargeability q-average power P
k, q, tperformance data, draws lightning arrester frequency-chargeability-average power performance data table and/or frequency-chargeability-average power performance diagram under different temperatures.
The 3rd step, choose lightning arrester at equivalent continuous operating voltage of lightning arrester at harmonic voltage:
First according to the harmonic voltage peak value U of the harmonic voltage analysis of lightning arrester in Practical Project (being generally the result of Fourier series frequency analysis)
kmwith overtone order k, calculate the independent chargeability q of each harmonic wave
k; And in lightning arrester frequency-chargeability-average power performance diagram or tables of data under design temperature, look into respectively the average power P getting under each harmonic wave
k, q,; Again by the average power P under all harmonic waves
k, q, tbe added, calculate total average power algebraic sum of lightning arrester; Then in the lightning arrester frequency-chargeability-average power performance diagram or tables of data under design temperature, find under the effect of power frequency (50Hz) voltage, and meet formula P
50Hz>=∑ P
k, q, tchargeability, with q
k=1represent: then press formula U
ref=U
sIPL/ k
30/60 μ scalculate the DC reference voltage of lightning arrester, with U
refrepresent: finally press formula U
m, ECOV=q
k=1* U
refthe equivalent continuous operating voltage of lightning arrester at harmonic voltage of lightning arrester is chosen in calculating, and completing lightning arrester equivalence continuous running voltage under harmonic voltage effect is choosing of ECOV.
Below in conjunction with concrete case study on implementation, the present invention is further illustrated.
Case study on implementation:
In the extra-high voltage direct-current transmission engineering of China ± 800kV silk screen-southern Jiangsu, the harmonic voltage of the interior lightning arrester of converting plant Yue Loong side alternating current filter (BP11/BP13) is:
k = 11， U
11，m = 77.4kV；
k = 13， U
13，m = 11.5kV；
k = 7， U
7，m = 7.3kV；
k = 9， U
9，m = 5.2kV；
k = 5， U
5，m = 3.8kV；
U
SIPL=279kV，k
30/60μs=1.4In=4kA。
The first step is calculated the average power of lightning arrester under synthetic harmonic wave and single harmonic component effect:
P=P
1+ P
2+
… +…+ P
k+
…
p in formula k the power that represents the lightning arrester absorption of k subharmonic
Second step is pressed frequency-chargeability-average power performance data table (in Table 1) that table 1 is drawn lightning arrester:
The average power (W) of (60 ℃) lightning arrester under different frequency and different chargeability under table 1 design temperature
Table 1 (Continued)
The 3rd step is chosen the ECOV of lightning arrester
1) calculate the chargeability of each harmonic:
The DC reference voltage of lightning arrester is chosen for U
ref=279/1.4=200 (kV):
The chargeability reckoner of table 2 each harmonic
2) look into the average power P of each harmonic
k, q, tand algebraic sum
The average power of table 3 each harmonic is calculated table
∑P
k,q,t=1.103+0.080+0.050+0.050+0.050+0.050=1.333（W）
3) find the q under the effect of power frequency (50Hz) voltage
k=1, meet:
P
1,0.75,60℃ =1.550（W）≥∑P
k,q,t =1.333(W)
4) choose the ECOV of lightning arrester
U
m, ECOV = q
k=1×U
ref =0.75×200=150(kV)
Therefore, the ECOV of the interior lightning arrester of converting plant Yue Loong side alternating current filter (BP11/BP13) can be chosen for: U
m, ECOV=150 (kV).
Claims (1)
1. a lightning arrester equivalence continuous running voltage choosing method under harmonic voltage effect, is characterized in that: it is that step is carried out by the following method:
1) calculate the average power that lightning arrester absorbs under synthetic harmonic wave and single harmonic component effect:
A. by following Fourier expansion formula, calculate and be applied to the non-sinusoidal periodic voltage on lightning arrester:
In formula: u non-sinusoidal periodic voltage,
K overtone order,
U
kmthe peak value of k subharmonic voltage,
ω
1fundamental voltage angular frequency,
φ
ukthe initial angle of k subharmonic voltage;
B. by following Fourier expansion formula, calculate and be applied to the non-sinusoidal periodic current on lightning arrester:
In formula: i non-sinusoidal periodic current,
K overtone order,
I
kmthe peak value of k subharmonic current,
ω 1 fundamental current angular frequency,
φ ik the initial angle of k subharmonic current;
C. the instantaneous power absorbing by following formula calculating any time lightning arrester,
In formula: the instantaneous power of p any time;
D. by following formula, calculate the average power in a cycle T:
If the above-mentioned integration of the sinusoidal voltage of different frequency and electric current product is zero, do not produce average power; If the above-mentioned integration of the sinusoidal voltage of same frequency and electric current product is non-vanishing, the average power of the synthetic harmonic wave of lightning arrester is the algebraic sum of each single harmonic component average power, that is:
P=U
1I
1cosψ
1+ U
2I
2cosψ
2+… +…+U
kI
kcosψ
k +…
In formula: U
k=U
km/
the effective value that represents k subharmonic voltage,
I
k=I
km/
the effective value that represents k subharmonic current,
ψ
k=φ
uk-φ
ikthe phase differential that represents k subharmonic voltage and electric current,
Also be P=P
1+ P
2+ ... + ... + P
k+
p in formula
k=U
ki
kcos ψ
kthe power that represents the lightning arrester absorption of k subharmonic;
2) draw the lightning arrester frequency-chargeability-average power consumption family curve under design temperature:
Test and record the frequency-chargeability q-average power P of lightning arrester under different temperatures
k, q, tperformance data, and draw lightning arrester frequency-chargeability-average power performance data table and/or the frequency-chargeability-average power performance diagram under different temperatures;
3) choose lightning arrester at equivalent continuous operating voltage of lightning arrester at harmonic voltage:
A. the harmonic voltage peak value U analyzing according to the harmonic voltage of lightning arrester in Practical Project
kmwith overtone order k, calculate the independent chargeability q of each harmonic wave
k;
B. in the lightning arrester frequency-chargeability-average power performance data table and/or frequency-chargeability-average power performance diagram under design temperature, look into respectively the average power P getting under each harmonic wave
k, q, t;
C. by the average power P under all harmonic waves
k, q, tbe added, calculate total average power of lightning arrester;
D. in the lightning arrester frequency-chargeability-average power performance data table and/or frequency-chargeability-average power performance diagram under design temperature, find under power-frequency voltage effect, and meet the chargeability of following formula, with q
k=1represent:
P
50Hz ≥ ∑P
k,q,t
In formula: P
50Hzrepresent the average power under power-frequency voltage
E. by following formula, calculate the DC reference voltage of lightning arrester, with U
refrepresent:
U
ref = U
SIPL/k
30/60μs
Wherein: U
sIPLthe residual voltage of lightning arrester under cooperation electric current;
K
30/60 μ sthe switching impulse current residual voltage ratio of metal oxide resistance;
F. by following formula, calculate the equivalent continuous operating voltage of lightning arrester at harmonic voltage of choosing lightning arrester:
U
m, ECOV = q
k=1× U
ref
Calculate U
m, ECOVvalue be equivalent continuous operating voltage of lightning arrester at harmonic voltage.
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| EP2945247A1 (en) * | 2014-05-13 | 2015-11-18 | LSIS Co., Ltd. | Apparatus and method for verifying lightning arrester of high voltage direct current transmission system |
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| EP2945247A1 (en) * | 2014-05-13 | 2015-11-18 | LSIS Co., Ltd. | Apparatus and method for verifying lightning arrester of high voltage direct current transmission system |
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Address after: 474530 Neixiang County Industrial Park, Nanyang, Henan Patentee after: Golden crown electric Limited by Share Ltd Address before: 473000 Nanyang high tech Development Zone, Henan Patentee before: Nanyang Jinguan Electric Co., Ltd. |