CN104007306B - OPGW lines circuital method when obtaining overhead transmission line unsymmetrical short-circuit - Google Patents
OPGW lines circuital method when obtaining overhead transmission line unsymmetrical short-circuit Download PDFInfo
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Abstract
OPGW lines circuital method when obtaining overhead transmission line unsymmetrical short-circuit the present invention relates to one kind, including：By the distance between power transmission line phase line and OPGW lines, the mutual impedance between phase line and OPGW lines is calculated；By determining the span between each shaft tower of overhead transmission line, formed equivalent circuit by determine overhead transmission line occur unbalanced fault type, the different Equivalent Calculation Models of selection, and obtain according to different Equivalent Calculation Models the total current of short circuit current flow after failure；According to the shunting feature of shortcut total current after short circuit, the total current component on OPGW lines is determined, and obtain the distribution of the shortcut total current on OPGW lines；Drawing obtains the shortcut total current waveform on OPGW lines.Facilitate the characteristic distributions of shortcut total current component on OPGW lines and the analysis of waveform and summary.
Description
Technical field
The present invention relates to a kind of Power System Analysis and control technology field, more particularly to a kind of acquisition overhead transmission line
OPGW lines circuital method during unsymmetrical short-circuit.
Background technology
At present, composite cable ground wire (OPGW) is while have lightning function and communication function.220kV and its above voltage etc.
The transmission line of electricity of level selection OPGW substantially are used as communications carrier.When short trouble occurs for transmission line of electricity, short circuit current flow can be direct
Have influence on the security of transmission system and the reliability of power communication.In all kinds of failures, asymmetry short circuit fault includes single-phase
The occurrence frequency highest of earth fault, two-phase phase fault and double earthfault, wherein single-phase short circuit.Short circuit current flow is in transmission of electricity
Distribution situation on circuit and OPGW lines also directly influences the safe operation of system.Meanwhile, the short circuit on past OPGW lines
Current calculation and analysis be all that based on the steady-state shortcircuit current after short circuit, have ignored the transient process after short circuit.It is actual
Upper circuit is generally in perceptual, and the current peak in transient process is more than steady-state current.In the thermally-stabilised and its type selecting of OPGW lines,
Distribution situation of the shortcut total current on OPGW lines is the problem of can not ignoring.The shortcut total current of asymmetry short circuit fault and temporarily
The accurate calculating that state voltage is distributed on OPGW lines has important influence to the safety of transmission system.
In view of above-mentioned defect, the design people is actively subject to research and innovation, to found a kind of acquisition overhead transmission line
OPGW lines circuital method during the unsymmetrical short-circuit of road, makes it with more the value in industry.
The content of the invention
In order to solve the above technical problems, when obtaining overhead transmission line unsymmetrical short-circuit it is an object of the invention to provide one kind
The circuital method of OPGW lines.The present invention innovatively puts forward the OPGW line total currents in overhead transmission line unsymmetrical short-circuit
Processing method.The present invention is applied to 110~220kV overhead transmission lines and aerial earth wire (common ground wire and OPGW line), energy
It is enough accurately to analyze when accurately analyze in transmission line of electricity generation unbalanced fault, the shortcut total current on OPGW lines
With the distribution of voltage, with fine application value, transmission line of electricity occurs the electrical quantity analysis after short trouble has important meaning
Justice.
OPGW lines circuital method during a kind of acquisition overhead transmission line unsymmetrical short-circuit of the present invention, including：
Step 1：By the distance between power transmission line phase line and OPGW lines, the mutual resistance between phase line and OPGW lines is calculated
It is anti-；
Step 2：By determining the span between each shaft tower of overhead transmission line, equivalent circuit is formed；
Step 3：By determining the type for the unbalanced fault that overhead transmission line occurs, different Equivalent Calculation moulds are selected
Type, and obtain according to different Equivalent Calculation Models the total current of short circuit current flow after failure；
Step 4：According to the shunting feature of shortcut total current after short circuit, the total current component on OPGW lines is determined, and obtain
Shortcut total current distribution on OPGW lines；
Step 5：Drawing obtains the shortcut total current waveform on OPGW lines.
Further, step 1 is specifically included：According to below equation, the mutual impedance between phase line and OPGW lines is obtained；Zm=
0.05+j0.1451g(Dg/Dab) (Ω/km), wherein, Dab：Wire spacing, unit m；Dg：Equivalent depth,ρ
Take 300 Ω m, f=50Hz.
Further, by determining the type for the unbalanced fault that overhead transmission line occurs, different equivalent meters are selected
Model is calculated, and the total current of short circuit current flow after failure is obtained according to different Equivalent Calculation Models, is specially：When transmission line of electricity hair
Raw singlephase earth fault, selects the first Equivalent Calculation Model, and first Equivalent Calculation Model is specially： Wherein, ia、ib、icTo be respectively the electric current on A, B, C three-phase, RgFor the grounding resistance of shaft tower, Ra
It is the equivalent resistance in a phase lines, LaIt is the self-induction of a phase lines, MabAnd MacIt is the mutual inductance of a phase lines and b, c phase line respectively,
eaIt is the electromotive force of a phase lines；
When double earthfault, selection third equivalent computer i occur for transmission line of electricitya、ib、icTo be respectively A, B, C three-phase
On electric current, RgFor the grounding resistance of shaft tower, now the second Equivalent Calculation Model is as follows：
In formula, Rb, RcIt is the equiva lent impedance in b phase lines and c phase lines, Lb, LcIt is the self-induction of b phase lines and c phase lines, Mab, Mac
Difference MbcWith the mutual inductance for being a phase lines with the mutual inductance of b phase lines, a phase lines and c phase lines, b phase lines are mutual with c phase lines
Sense, ebAnd ecIt is that b is electromotive force in a phase lines and c phase lines respectively.
By such scheme, the present invention at least has advantages below：
When unbalanced fault occurs for overhead transmission line, the equivalent model of short circuit calculation is determined, the differential equation is write so as to arrange,
Solve the expression formula of shortcut total current.The shunt paths of the short circuit current flow of overhead transmission line are analyzed, and obtain OPGW lines
On shortcut total current component.To the characteristic distributions of shortcut total current component on OPGW lines and the analysis of waveform and summary.Skill
Art is ripe, reliability is high, it is adaptable to 110~220kV overhead transmission lines and aerial earth wire (common ground wire and OPGW line).
Described above is only the general introduction of technical solution of the present invention, in order to better understand the technological means of the present invention,
And can be practiced according to the content of specification, below with presently preferred embodiments of the present invention and coordinate accompanying drawing describe in detail as after.
Brief description of the drawings
Fig. 1 is the line assumption diagram of overhead transmission line of the present invention；
Fig. 2 is the equivalent circuit diagram of overhead transmission line of the present invention；
Fig. 3 is that singlephase earth fault schematic equivalent circuit occurs for the present invention；
When Fig. 4 is that singlephase earth fault occurs for the present invention, shortcut total current shunting schematic diagram；
When Fig. 5 is that singlephase earth fault occurs for the present invention, the shortcut total current ripple on the adjacent OPGW lines of failure shaft tower
Shape；
When Fig. 6 is that singlephase earth fault occurs for the present invention, the short-circuit voltage waveform on the adjacent OPGW lines of failure shaft tower；
Fig. 7 is that double earthfault schematic equivalent circuit occurs for the present invention；
When Fig. 8 is that double earthfault occurs for the present invention, shortcut total current shunting schematic diagram；
When Fig. 9 is that double earthfault occurs for the present invention, shortcut total current waveform on the adjacent OPGW lines of failure shaft tower；
When Figure 10 is that double earthfault occurs for the present invention, the shortcut total current ripple on the adjacent OPGW lines of failure shaft tower
Shape；
The flow of the circuital method of OPGW lines when Figure 11 is a kind of acquisition overhead transmission line unsymmetrical short-circuit of the invention
Figure.
Embodiment
With reference to the accompanying drawings and examples, the embodiment to the present invention is described in further detail.Implement below
Example is used to illustrate the present invention, but is not limited to the scope of the present invention.
Referring to shown in Fig. 1-Figure 11, OPGW lines circuital method when one kind obtains overhead transmission line unsymmetrical short-circuit,
Including：
Step 1：By the distance between power transmission line phase line and OPGW lines, the mutual resistance between phase line and OPGW lines is calculated
It is anti-.
Step 2：By determining the span between each shaft tower of overhead transmission line, equivalent circuit is formed.
Step 3：By determining the type for the unbalanced fault that overhead transmission line occurs, different Equivalent Calculation moulds are selected
Type, and obtain according to different Equivalent Calculation Models the total current of short circuit current flow after failure.
Step 4：According to the shunting feature of shortcut total current after short circuit, the total current component on OPGW lines is determined, and obtain
Shortcut total current distribution on OPGW lines.
Step 5：Drawing obtains the shortcut total current waveform on OPGW lines.
Lower mask body describes in detail said process：
First, the single time circuit that do not replace of wire and ground wire mutual impedance is calculated, the mutual impedance between wire and ground wire can be by
Following formula is calculated and obtained.
Zm=0.05+j0.1451g (Dg/Dab)(Ω/km)
Wherein, Dab：Wire spacing, unit m；
Dg：Equivalent depth,ρ takes 300 Ω m, f=50Hz.
Secondly, the line construction isoboles of overhead transmission line is introduced.For shaft tower and the computation model of circuit：Circuit is transported
During row, the model of two OPGW lines operations is as shown in Figure 1.In the model, it is assumed that EaAnd ZaRepresent what is produced in every grade of ground wire respectively
Induced electromotive force and impedance value, EbAnd ZbThe induced electromotive force and impedance value produced in every grade of OPGW lines is represented respectively.In view of this
The versatility of model, we are at OPGW lines and shaft tower respectively with switch K1And K2Represent ground connection and earth-free two states；Two
Ground wire, which electrically can be connected, also to be disconnected, respectively with switch r1And r2Represent to be electrically connected and disconnect along line direction, equivalent electricity
Road is as shown in Figure 2.(OPGW lines make K by the way of being grounded by tower1=K2=0 and r1=r2=0)
Then computational methods when singlephase earth fault occurs for overhead transmission line are introduced.
Singlephase earth fault, as shown in Figure 3, i occur for transmission line of electricitya、ib、icTo be respectively the electricity on A, B, C three-phase
Stream, RgFor the grounding resistance of shaft tower.Row write differential equation and occur the shortcut total current after singlephase earth fault, equation below
It is shown：
In formula, RaIt is the equivalent resistance in a phase lines, LaIt is the self-induction of a phase lines, MabAnd MacA phase lines respectively with b,
The mutual inductance of c phase lines, eaIt is the electromotive force of a phase lines.
Current differential equation on OPGW lines is as follows：
In formula, RxIt is the equivalent resistance of OPGW lines, LxIt is the self-induction of OPGW lines, Max, MbxAnd McxIt is OPGW lines and a, b respectively
With the mutual inductance of c phase lines, exIt is the electromotive force on OPGW lines.
ex=Zaxia+Zbxib+Zcxic
In formula, Zax, ZbxAnd ZcxIt is mutual induction reactance value of a, b and c phase line to OPGW lines respectively.
Shortcut total current can be by codifferential equation solution, further analysis, and shortcut total current can be in shaft tower and OPGW lines
Shunted on two paths, as shown in figure 4, I in figure1And I2Represent that shortcut total current passes through shaft tower and the paths of OPGW lines two respectively
On total current component.By solving the large scale electric network network being made up of each shelves of circuit, shortcut total current is obtained at this two points
Component on flow path.
With reference to the engineering of certain actual track, we can obtain total current after short circuit.Due to have ignored phase conductor, ground wire and
Electric capacity between the earth, circuit can approx regard a circuit network being made up of resistance and inductance as.Connect when generation is single-phase
During earth fault, circuit has a transient process from failure to stable.Transient current in this process be we be concerned about it is short
Total current and transient voltage behind road.When singlephase earth fault occurs on certain grade of shaft tower of circuit, failure shaft tower is adjacent
Shortcut total current waveform on OPGW lines is as shown in figure 5, transient voltage waveform such as Fig. 6 institutes on the adjacent OPGW lines of failure shaft tower
Show.
Then computational algorithm when double earthfault occurs for overhead transmission line is introduced.
Double earthfault, as shown in Figure 7, i occur for transmission line of electricitya、ib、icTo be respectively the electricity on A, B, C three-phase
Stream, RgFor the grounding resistance of shaft tower.Row write differential equation and occur the shortcut total current after double earthfault, equation below
It is shown：
In formula, Rb, RcIt is the equivalent resistance in b phase lines and c phase lines, Lb, LcIt is the self-induction of b phase lines and c phase lines, Mab, Mac
Difference MbcWith the mutual inductance for being a phase lines with the mutual inductance of b phase lines, a phase lines and c phase lines, b phase lines are mutual with c phase lines
Sense, ebAnd ecIt is that b is electromotive force in a phase lines and c phase lines respectively.
Current differential equation on OPGW lines is as follows：
In formula, RxIt is the equivalent resistance of OPGW lines, LxIt is the self-induction of OPGW lines, Max, MbxAnd McxIt is OPGW lines and a, b respectively
With the mutual inductance of c phase lines, exIt is the electromotive force on OPGW lines.
ex=Zaxia+Zbxib+Zcxic
In formula, Zax, ZbxAnd ZcxIt is mutual induction reactance value of a, b and c phase line to OPGW lines respectively.
Shortcut total current can be by codifferential equation solution, further analysis, and shortcut total current can be in shaft tower and OPGW lines
Shunted on two paths, as shown in Figure 8, I in figure1And I2Represent that shortcut total current passes through shaft tower and OPGW Xian Liangtiao roads respectively
Total current component on footpath.By solving the large scale electric network network being made up of each shelves of circuit, shortcut total current is obtained at this two
Component in shunt paths.
With reference to the engineering of certain actual track, we can obtain total current after short circuit.Due to have ignored phase conductor, ground wire and
Electric capacity between the earth, circuit can approx regard a circuit network being made up of resistance and inductance as.Connect when occurring two
During earth fault, circuit has a transient process from failure to stable.Transient current in this process be we be concerned about it is short
Total current behind road.When double earthfault occurs for circuit, the shortcut total current waveform on the adjacent OPGW lines of failure shaft tower
As shown in figure 9, the transient voltage waveform on the adjacent OPGW lines of failure shaft tower is as shown in Figure 10.
Described above is only the preferred embodiment of the present invention, is not intended to limit the invention, it is noted that for this skill
For the those of ordinary skill in art field, without departing from the technical principles of the invention, can also make it is some improvement and
Modification, these improvement and modification also should be regarded as protection scope of the present invention.
Claims (1)
- OPGW lines circuital method when 1. one kind obtains overhead transmission line unsymmetrical short-circuit, it is characterised in that including：Step 1：By the distance between power transmission line phase line and OPGW lines, the mutual impedance between phase line and OPGW lines is calculated；Step 2：By determining the span between each shaft tower of overhead transmission line, equivalent circuit is formed；Step 3：By determining the type for the unbalanced fault that overhead transmission line occurs, different Equivalent Calculation Models are selected, And the total current of short circuit current flow after failure is obtained according to different Equivalent Calculation Models；Step 4：According to the shunting feature of shortcut total current after short circuit, the total current component on OPGW lines is determined, and obtain OPGW Shortcut total current distribution on line；Step 5：Drawing obtains the shortcut total current waveform on OPGW lines；The step 1 is specifically included：According to below equation, the mutual impedance between phase line and OPGW lines is obtained；Zm=0.05+ j0.145lg(Dg/Dab) (Ω/km), wherein, Dab：Wire spacing, unit m；Dg：Equivalent depth,ρ takes 300 Ω m, f=50Hz；The type by determining the unbalanced fault that overhead transmission line occurs, selects different Equivalent Calculation Models, and The total current of short circuit current flow after failure is obtained according to different Equivalent Calculation Models, is specifically included：When singlephase earth fault occurs for transmission line of electricity, the first Equivalent Calculation Model is selected, first Equivalent Calculation Model is specific For：Wherein, ia、ib、icTo be respectively the electric current on A, B, C three-phase, RaIt is a Equivalent resistance in phase line, LaIt is the self-induction of a phase lines, MabAnd MacIt is the mutual inductance of a phase lines and b, c phase line, e respectivelyaIt is a The electromotive force of phase line；When double earthfault occurs for transmission line of electricity, the second Equivalent Calculation Model i is selecteda、ib、icTo be respectively on A, B, C three-phase Electric current, now the second Equivalent Calculation Model is as follows：<mrow> <msub> <mi>i</mi> <mi>b</mi> </msub> <msub> <mi>R</mi> <mi>b</mi> </msub> <mo>+</mo> <msub> <mi>L</mi> <mi>b</mi> </msub> <mfrac> <mrow> <msub> <mi>di</mi> <mi>b</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>+</mo> <msub> <mi>M</mi> <mrow> <mi>b</mi> <mi>c</mi> </mrow> </msub> <mfrac> <mrow> <msub> <mi>di</mi> <mi>c</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>+</mo> <msub> <mi>M</mi> <mrow> <mi>a</mi> <mi>b</mi> </mrow> </msub> <mfrac> <mrow> <msub> <mi>di</mi> <mi>a</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>=</mo> <msub> <mi>e</mi> <mi>b</mi> </msub> </mrow><mrow> <msub> <mi>i</mi> <mi>c</mi> </msub> <msub> <mi>R</mi> <mi>c</mi> </msub> <mo>+</mo> <msub> <mi>L</mi> <mi>c</mi> </msub> <mfrac> <mrow> <msub> <mi>di</mi> <mi>c</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>+</mo> <msub> <mi>M</mi> <mrow> <mi>b</mi> <mi>c</mi> </mrow> </msub> <mfrac> <mrow> <msub> <mi>di</mi> <mi>b</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>+</mo> <msub> <mi>M</mi> <mrow> <mi>a</mi> <mi>c</mi> </mrow> </msub> <mfrac> <mrow> <msub> <mi>di</mi> <mi>a</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>t</mi> </mrow> </mfrac> <mo>=</mo> <msub> <mi>e</mi> <mi>c</mi> </msub> </mrow>In formula, Rb, RcIt is the equivalent resistance in b phase lines and c phase lines, Lb, LcIt is the self-induction of b phase lines and c phase lines, Mab, MacAnd Mbc It is the mutual inductance of a phase lines and the mutual inductance of b phase lines, a phase lines and c phase lines, the mutual inductance of b phase lines and c phase lines, e respectivelyb And ecIt is the electromotive force in b phase lines and c phase lines respectively.
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| CN106202637B (en) * | 2016-06-29 | 2020-01-10 | 国网辽宁省电力有限公司沈阳供电公司 | OPGW system grounding short circuit current analysis method based on extended phase component method |
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