CN106443271B - A kind of reduced scale Equivalent Physical experimental method of transmission line of electricity - Google Patents
A kind of reduced scale Equivalent Physical experimental method of transmission line of electricity Download PDFInfo
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- CN106443271B CN106443271B CN201610947206.4A CN201610947206A CN106443271B CN 106443271 B CN106443271 B CN 106443271B CN 201610947206 A CN201610947206 A CN 201610947206A CN 106443271 B CN106443271 B CN 106443271B
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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
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Abstract
The invention discloses a kind of transmission line of electricity reduced scale Equivalent Physical experimental methods for belonging to high voltage overhead technical field of electric power transmission.The Equivalent Physical experiment for setting transmission line of electricity reduced scale first is with half-wavelength (3000km) power transmission mode of overlength distance, large capacity, secondly according to reduced scale multiple and the relationship of frequency and half-wavelength of the experiment of transmission line of electricity reduced scale Equivalent Physical propose equal proportion reduced scale, etc. conductivity reduced scale and wait three kinds of reduced scale schemes of radiuses reduced scale: by calculating, compared with, the conductivity reduced scale scheme such as preferably.The present invention is compared with the method for existing research Transmission Lines characteristic, it is ensured that the equivalence before and after transmission line of electricity reduced scale, the true transmission line of electricity of accurate simulation.Have many advantages, such as route be easy to build, equivalence it is good, needing to have a good application prospect using the occasion that transmission line of electricity is tested.
Description
Technical field
The invention belongs to high voltage overhead technical field of electric power transmission, in particular to the reduced scale Equivalent Physical of a kind of transmission line of electricity is tested
Method.
Background technique
Since 21 century, as world energy sources demand increases, various countries also start to accelerate to development of power resources.But most one
The distribution of the secondary energy all apart from load center farther out, the hydroelectric resources of such as Brazilian Amazon, Russia Siberia water
Electric resources, coal resources of NW China etc..Overlength distance, large capacity transmission technology are just causing the attention of scholars again.
In recent years, extra-high voltage direct-current transmission development is very fast.In terms of ultra-high voltage AC transmission, point-to-point, super long distance is being studied
Half-wavelength (3000km) power transmission mode from, large capacity.
Relative to conventional extra high voltage line, there are two features for extra-high voltage half-wavelength transmission line of alternation current: first is that route is long, object
It manages size about 3000km (0.5 wavelength of electric size)；Second is that having sensibility (length is fixed on 0.5 electrical length).?
Under ideal situation (lossless), half wavelength line head end voltage and terminal voltage amplitude is equal, opposite in phase, head end input impedance etc.
In load impedance, it is equivalent to load and directly connects on power supply.Ideally, the steady state power limit of half wavelength line can reach
To infinity, but in practice, transmission power will be by factors systems such as the distribution of voltage and current along the line, line insulation level and line losses
About.
Currently, being directed to there are mainly two types of Transmission Lines characteristic research methods: one is software analog simulations；It is another
It is dynamic simulation test (dynamic simulation test).It is time saving and energy saving using software emulation advantage, but can completely consideration is not more complicated
Condition, such as: soil resistivity, adjacent lines, route mixed set-up etc..Dynamic simulation test is according to the theory of similarity, use and original
There are type system the similar components of same physical properties to set up, and it is equivalent that long distance transmission line is divided into many π types
Circuit can only reflect the characteristic of each node on route, cannot reflect along characteristic.
Summary of the invention
The purpose of the present invention is to propose to a kind of transmission line of electricity reduced scale Equivalent Physical experimental methods, which is characterized in that including such as
Lower step:
1) the Equivalent Physical experiment for setting transmission line of electricity reduced scale first is with the half-wavelength of overlength distance, large capacity
(3000km) power transmission mode, the size of half-wave power transmission route are equal to the propagation distance of the light velocity in one cycle, i.e., λ=3 ×
108/f(m) (1)
In formula, f is as unit of Hz.
Half-wave is a length of
2) describing the major parameter of transmission line of electricity is propagation constant γ and characteristic impedance Zc,
Wherein, the long impedance Z of the unit of transmission line of electricity=R+j ω L, admittance Y=G+j ω C；R is the long resistance of unit, and L is
The long inductance of unit, G is conductance and C is the long capacitor of unit, and ω is frequency；
The reduced scale multiple of transmission line of electricity reduced scale Equivalent Physical experiment and the relationship of frequency and half-wavelength are as shown in table 1,
The relationship of 1 frequency of table, half-wavelength and reduced scale multiple
3) voltage on transmission line of electricity, current distribution form be expressed as
U (z)=U+e-γz+U-eγz (5)
Wherein incident wave amplitude U+With echo amplitude U-Occurrence depend on the intensity of transmission line of electricity termination power and negative
The impedance of load；
4) size of half-wave power transmission route is shortened into 1/N, in order to guarantee the constant of waveform, then increased propagation constant γ
It is N times big, while characteristic impedance Zc is remained unchanged, i.e.,
γ→Nγ (7)
Zc→Zc (8)
Due to
In order to reach said effect, Ying You:
ω→Nω (11)
L→L (12)
C→C (13)
R→NR (14)
Therefore, ω frequency needs to be increased to N times, while the capacitor C of inductance L and the unit length of guarantor unit head is kept not
Become, thus require:
(1) 1/N before the longitudinal length of transmission line of electricity, that is, half-wave power transmission route length reduction arrives；
(2) lateral dimension of transmission line of electricity: the radius of spacing and conducting wire between distance away the ground, different conductor is both needed to
Equal proportion reduction, that is, the 1/N before being reduced to1；
(3) N before the conductivity of conducting wire increases to2Times, just increase N times with the resistance of guarantor unit head.
In order to which the resistance of guarantor unit head just increases N times, then N1And N2Meet
Calculating above does not account for kelvin effect, even if considering kelvin effect, the relationship that formula (23) provides is also to set up
, process is as follows:
μ is magnetic conductivity in formula, σ is conductor conductivity.
Therefore, formula (23) gives wire radius reduced scale multiple and conductivity increases multiple and should meet certain collaboration pass
System.
The wire radius reduced scale multiple and conductivity increase the specific reduced scale scheme for the conspiracy relation that multiple should meet
Are as follows:
Reduced scale scheme 1: equal proportion reduced scale
Equal proportion reduced scale refers to that the reduced scale degree of wire radius and route lateral dimension is identical as length reduced scale degree,
That is:
N1=N
N2=N (26)
At this point, the conductivity of conducting wire needs equal proportion to increase N times.
Reduced scale scheme 2: etc. conductivity reduced scale
Etc. conductivity reduced scale be guide line conductivity it is constant, it may be assumed that
N2=1
At this point, the lateral dimension reduced scale of conducting wire is the square root of longitudinal size reduced scale.
Reduced scale scheme 3: radiuses reduced scale is waited
Equal radiuses reduced scale is the radius of guide line, and the lateral dimension of route remains unchanged, it may be assumed that
N1=1
N2=1/N (28)
At this point, the conductivity of conducting wire needs equal proportion to be reduced to 1/N.
In practice, conducting wire all uses metal material, and conductivity can hardly change, therefore,
Reduced scale scheme 2: etc. conductivity reduced scale；
Due to the conductivity of conducting wire to be changed, reduced scale scheme 2 etc. conductivity reduced scale be not easy to realize；Therefore preferred embodiment 1
With 3, wherein before route lateral dimension is reduced to simultaneouslyConducting wire conductivity is constant, and line length shortens N times, frequency
When rate improves N times, the capacitor C of the long inductance L of route unit and unit length is remained unchanged.
Self-potential FACTOR PiiWith mutual coefficient of potential PijIt is respectively as follows:
Q=P-1U=Cu, Y=j ω C (31)
Q is linear charge density in formula, and u is conducting wire voltage-to-ground, and P is coefficient of potential matrix.
By above formula as it can be seen that before route lateral parameter x, y, r be reduced toWhen, PiiAnd PijIt is all constant, therefore
The long capacitor C of route unit is remained unchanged before and after reduced scale.
Self-impedance ZiiWith mutual impedance ZijCalculation formula it is as follows:
P is multiple transmission depth of the electromagnetic wave in the earth in formula, and μ is magnetic conductivity, σ is conductivity.
By above formula as it can be seen that before route lateral parameter x, y, r be reduced toBefore p is reduced to
μ0It is constant, therefore the long L of route unit is remained unchanged before and after reduced scale.
The beneficial effects of the invention are as follows the equivalence that can guarantee before and after transmission line of electricity reduced scale, the true power transmission lines of accurate simulation
Road.Have many advantages, such as route be easy to build, equivalence it is good.
Detailed description of the invention
Fig. 1 is a kind of rounded projections arranged mode transmission line of electricity geometric representation.
Fig. 2 is a kind of horizontally arranged mode transmission line of electricity geometric representation.
Fig. 3 PSCAD simulation model.
Fig. 4 original route driving source voltage.
Fig. 5 original line load voltage.
Fig. 6 reduced scale route driving source voltage.
Fig. 7 reduced scale line load voltage.
Specific embodiment
The present invention proposes a kind of transmission line of electricity reduced scale Equivalent Physical experimental method, with reference to the accompanying drawings and examples to this hair
It is bright to elaborate.
Embodiment 1
As shown in Figure 1, the conducting wire of certain exchange 1000kV UHV transmission line is triangularly arranged.Choose working frequency f
For 10kHz, 200 times of reduced scale, the constant reduced scale scheme of conducting wire conductivity is chosen, it may be assumed that N=200, N1=14.14, N2=1, reduced scale
The line parameter circuit value of front and back is as shown in table 2.
Line parameter circuit value before and after reduced scale when 2 conducting wire rounded projections arranged of table, 200 times of reduced scale
Embodiment 2
As shown in Figure 1, certain exchange 1000kV leads of ultra-high voltage power transmission lines is triangularly arranged.Choosing working frequency f is
100kHz, chooses the constant reduced scale scheme of conducting wire conductivity, it may be assumed that N=2000, N by 2000 times of reduced scale1=44.72, N2=1, reduced scale
The line parameter circuit value of front and back is as shown in table 3.It is emulated using PSCAD, the equivalence of route, the original of half-wave power transmission before and after verifying reduced scale
Model and scaled model are all as shown in Figure 3；
Line parameter circuit value before and after reduced scale when 3 conducting wire rounded projections arranged of table, 2000 times of reduced scale
Wherein given voltage source line voltage amplitude is 1000kV, the voltage magnitude and payload size value one of two kinds of models
Sample, payload size take matched load value Z respectivelyC, 0.5ZC, 2ZC, four kinds of situations of opening a way.Wherein the transmission of electricity line length of master mould is
3000km, wire radius 43.48cm, voltage source frequency are 50Hz；Line length of transmitting electricity in scaled model is 1.5km, wire radius
0.972cm, voltage source frequency 100kHz, characteristic impedance are 245 Ω.
When loading Z=Zc, master mould and the variation of scaled model driving source voltage waveform and load voltage change respectively such as
Shown in Fig. 4 to Fig. 7；The results are shown in Table 4 for load voltage amplitude under two kinds of models, and similarly other two kinds of loading conditions are opposite accidentally
For difference within 0.7%, equivalence is preferable.
Embodiment 3
As shown in Fig. 2, certain exchange 1000kV leads of ultra-high voltage power transmission lines is horizontally arranged.Choosing working frequency f is
10kHz, chooses the constant reduced scale scheme of conducting wire conductivity, it may be assumed that N=200, N by 200 times of reduced scale1=14.14, N2=1, before reduced scale
Line parameter circuit value afterwards is as shown in table 5.
Load voltage under 4 two kinds of models of table
5 conducting wire of table is horizontally arranged, 200 times of reduced scale when reduced scale before and after line parameter circuit value
Claims (4)
1. a kind of transmission line of electricity reduced scale Equivalent Physical experimental method, which comprises the steps of:
1) the Equivalent Physical experiment for setting transmission line of electricity reduced scale first is the transmission of electricity of the half-wavelength 3000km with overlength distance, large capacity
The size of mode, half-wave power transmission route is equal to the propagation distance of the light velocity in one cycle, i.e. λ=3 × 108/f(m) (1)
In formula, f as unit of Hz,
Half-wave is a length of
2) describing the major parameter of transmission line of electricity is propagation constant γ and characteristic impedance Zc,
Wherein, the long impedance Z of the unit of transmission line of electricity=R+j ω L, admittance Y=G+j ω C；R is that unit is long'sResistance, L are unit
Long inductance, G is conductance and C is the long capacitor of unit, and ω is frequency；
The reduced scale multiple of transmission line of electricity reduced scale Equivalent Physical experiment and the relationship of frequency and half-wavelength are as shown in table 1,
The relationship of 1 frequency of table, half-wavelength and reduced scale multiple
3) voltage on transmission line of electricity, current distribution form be expressed as
U (z)=U+e-γz+U-eγz (5)
Wherein incident wave amplitude U+With echo amplitude U-Occurrence depend on transmission line of electricity termination power intensity and load
Impedance；
4) size of half-wave power transmission route is shortened into 1/N, in order to guarantee the constant of waveform, then propagation constant γ is increased into N
Times, while characteristic impedance ZcIt remains unchanged, i.e.,
γ→Nγ (7)
Zc→Zc (8)
Due to
In order to reach features described above impedance ZcThe effect remained unchanged, Ying You:
ω→Nω (11)
L→L (12)
C→C (13)
R→NR (14)
Therefore, ω frequency needs to be increased to N times, while the capacitor C of inductance L and the unit length of guarantor unit head is remained unchanged, by
This is required:
(1) 1/N before the longitudinal length of transmission line of electricity, that is, half-wave power transmission route length reduction arrives；
(2) lateral dimension of transmission line of electricity: the radius of spacing and conducting wire between distance away the ground, different conductor such as is both needed at the ratio
Example reduction, that is, the 1/N before being reduced to1；
(3) N before the conductivity of conducting wire increases to2Times, just increase N times with the resistance of guarantor unit head.
2. a kind of transmission line of electricity reduced scale Equivalent Physical experimental method according to claim 1, which is characterized in that the guarantee is single
The resistance of bit length just increases N times, then N1And N2Meet
Calculating above does not account for kelvin effect, even if considering kelvin effect, the relationship that formula (23) provides is also to set up, mistake
Journey is as follows:
μ is magnetic conductivity in formula, σ is conductor conductivity；Therefore, formula (23) gives wire radius reduced scale multiple and conductivity increases
Multiple should meet certain conspiracy relation.
3. a kind of transmission line of electricity reduced scale Equivalent Physical experimental method according to claim 1, which is characterized in that the conducting wire half
Diameter reduced scale multiple and conductivity increase the specific reduced scale scheme for the conspiracy relation that multiple should meet are as follows:
Reduced scale scheme 1: equal proportion reduced scale
Equal proportion reduced scale refers to that the reduced scale degree of wire radius and route lateral dimension is identical as length reduced scale degree, it may be assumed that
N1=N
N2=N (26)
At this point, the conductivity of conducting wire needs equal proportion to increase N times；
Reduced scale scheme 2: etc. conductivity reduced scale
Etc. conductivity reduced scale be guide line conductivity it is constant, it may be assumed that
N2=1
At this point, the lateral dimension reduced scale of conducting wire is the square root of longitudinal size reduced scale；
Reduced scale scheme 3: radiuses reduced scale is waited
Equal radiuses reduced scale is the radius of guide line, and the lateral dimension of route remains unchanged, it may be assumed that
N1=1
N2=1/N (28)
At this point, the conductivity of conducting wire needs equal proportion to be reduced to 1/N；
In practice, conducting wire all uses metal material, and conductivity can hardly change, therefore,
Reduced scale scheme 2: etc. conductivity reduced scale；
Due to the conductivity of conducting wire to be changed, reduced scale scheme 2 etc. conductivity reduced scale be not easy to realize；Therefore scheme 1 and 3 is selected,
In, before route lateral dimension is reduced to simultaneouslyConducting wire conductivity is constant, and line length shortens N times, and frequency mentions
At high N times, route unit long inductance L and capacitor C is remained unchanged.
4. a kind of transmission line of electricity reduced scale Equivalent Physical experimental method according to claim 1, which is characterized in that self-potential coefficient
PiiWith mutual coefficient of potential PijIt is respectively as follows:
Q=P-1U=Cu, Y=j ω C (31),
Q is linear charge density in formula, and u is conducting wire voltage-to-ground, and P is coefficient of potential matrix；
By above formula as it can be seen that before route lateral parameter x, y, r be reduced toWhen, PiiAnd PijIt is all constant, therefore route
The long capacitor C of unit is remained unchanged before and after reduced scale；
Self-impedance ZiiWith mutual impedance ZijCalculation formula it is as follows:
P is multiple transmission depth of the electromagnetic wave in the earth in formula, and μ is magnetic conductivity, σ is conductivity；
By above formula as it can be seen that before route lateral parameter x, y, r be reduced toBefore p is reduced toμ0No
Become, therefore the inductance L of route unit length is remained unchanged before and after reduced scale.
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| CN111398722A (en) * | 2020-04-14 | 2020-07-10 | 西安交通大学 | Equipment for on-site measurement of transmission characteristics of power cable |
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| CN109145337B (en) * | 2017-06-28 | 2020-12-18 | 中国电力科学研究院有限公司 | Modeling method and system of half-wavelength alternating current transmission dynamic simulation system |
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| CN104090190A (en) * | 2014-07-22 | 2014-10-08 | 武汉大学 | Design method of scale model of extra-high voltage converter transformer |
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| US9465067B2 (en) * | 2013-04-08 | 2016-10-11 | ECOLE POLYTECHNIQUE FéDéRALE DE LAUSANNE | Efficient method based on the electromagnetic time reversal to locate faults in power network |
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| CN101783491A (en) * | 2010-01-15 | 2010-07-21 | 西北电网有限公司 | Method for reducing local field strength of electric transmission line |
| CN101794977A (en) * | 2010-03-18 | 2010-08-04 | 华北电力大学 | Long-distance transmission line deicing method and device |
| CN104090190A (en) * | 2014-07-22 | 2014-10-08 | 武汉大学 | Design method of scale model of extra-high voltage converter transformer |
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