CN103293447B - A kind of distance-finding method only utilizing the non-cross line fault of the same tower double back transmission line of single-end information - Google Patents
A kind of distance-finding method only utilizing the non-cross line fault of the same tower double back transmission line of single-end information Download PDFInfo
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- CN103293447B CN103293447B CN201310206679.5A CN201310206679A CN103293447B CN 103293447 B CN103293447 B CN 103293447B CN 201310206679 A CN201310206679 A CN 201310206679A CN 103293447 B CN103293447 B CN 103293447B
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Abstract
The invention provides a kind of distance-finding method only utilizing the non-cross line fault of the same tower double back transmission line of single-end information, belong to protecting electrical power system and ranging technology field.When same tower double back transmission line primary Ioops breaks down, the phasor decoupling zero utilizing phase-model transformation matrix to be intercoupled in two loops, obtains the Aerial mode component that two loop line roads are separate; Analytical line modal transformation based on fault component network, fault loop head end voltage, current failure component is utilized to calculate fault point voltage, utilize non-faulting loop head end voltage, current failure component to calculate terminal voltage simultaneously, recycling line end boundary condition calculates fault point voltage, writing out localization of fault function according to the fault point voltage equal columns that two ends calculate, calculating fault distance by solving mapping function.
Description
Technical field
The present invention relates to a kind of distance-finding method only utilizing the non-cross line fault of the same tower double back transmission line of single-end information, belong to protecting electrical power system and ranging technology field.
Background technology
Parallel erected on same tower double-circuit line, because its construction costs is low, take the advantages such as width of corridor is little, the construction period is short, operation maintenance is simple, remarkable in economical benefits, is therefore widely used.When double-circuit line fault, accurate fault
Distance-finding method is to quick and precisely looking up the fault point, and fixing a breakdown rapidly and recovering line powering in time has important practice significance.
Parallel erected on same tower double back transmission line fault analytical method used is nothing more than single-ended method and both-end method.Single-ended method realizes easy, transmits client information without the need to communication channel, but the quantity of information obtained is less, and by the impact of trouble spot transition impedance and load current, the outer distance accuracy of half line length is not high.Both-end method employs the data of both-end, thus the impact of transition resistance on distance accuracy can be eliminated, and be not subject to the impact of fault type and systematic parameter, higher distance accuracy can be ensured, but need communication port to transmit the data at two ends, and need the problem solving dual ended data sample-synchronous.
Summary of the invention
The technical problem to be solved in the present invention is based on existing transient fault recorder device basic, utilize head end fault loop and perfect loop voltage, current failure component calculates respectively to trouble spot, draw localization of fault function according to fault point voltage is equal, obtain fault distance.
Technical scheme of the present invention is: a kind of distance-finding method only utilizing the non-cross line fault of the same tower double back transmission line of single-end information, when same tower double back transmission line primary Ioops breaks down, the phasor decoupling zero utilizing phase-model transformation matrix to be intercoupled in two loops, obtains the Aerial mode component that two loop line roads are separate; Analytical line modal transformation based on fault component network, fault loop head end (M end) voltage, current failure component is utilized to calculate fault point voltage, utilize non-faulting loop head end voltage, current failure component to calculate end (N end) voltage simultaneously, recycling line end boundary condition calculates fault point voltage, writing out localization of fault function according to the fault point voltage equal columns that two ends calculate, calculating fault distance by solving mapping function.
The concrete steps of this method are as follows:
(1) suppose to break down in same tower double back transmission line I loop, utilize phase-model transformation matrix, the electric current and voltage phasor that two loop line head ends detect is converted to two loop lines phases independently modulus, sets up the same tower double back transmission line based on the T-shaped equivalence of lumped parameter
modal transformation based on fault component network;
(2) same tower double back transmission line is analyzed
modal transformation based on fault component network, by head end voltage failure component
with I loop current fault component
calculate voltage failure component on the left of trouble spot
:
（1）
In formula,
for trouble spot is to the distance of measuring end;
(3) head end voltage failure component is utilized
with II loop current fault component
calculate terminal voltage fault component
and II loop current fault component
:
（2）
（3）
In formula,
be II time line length;
(4) system boundary of end has following restriction relation:
（4）
（5）
(5) utilize
with
calculate voltage failure component on the right side of trouble spot
:
（6）
In formula,
be I time line length;
(6) the equal formation range equation of fault point voltage is utilized to be:
（7）
Fault distance is
（8）
Principle of the present invention is (being described for I loop fault):
One, voltage failure component on the left of trouble spot
derivation
Analyze same tower double back transmission line
modal transformation based on fault component network (as shown in Figure 2), has following relation according to Circuit theory:
（1）
（2）
（3）
Arrangement formula (1), (2), (3), can obtain:
（4）
In formula,
for trouble spot is to the distance of measuring end.
Two, voltage failure component on the right side of trouble spot
derivation
(1) M terminal voltage fault component is utilized
with II loop current fault component
calculate N terminal voltage fault component
and II loop current fault component
, there is following relation according to Circuit theory:
（5）
（6）
（7）
Arrangement formula (5), (6), (7), can obtain:
（8）
（9）
In formula,
be II time line length.
(2) system boundary of N end has following restriction relation:
（10）
（11）
Utilize
with
calculate voltage failure component on the right side of trouble spot
:
（12）
In formula,
be I time line length.
(3) formation of range equation
The equal formation range equation of fault point voltage is utilized to be
（13）
Fault distance is
（4）
The invention has the beneficial effects as follows:
(1) this distance-finding method only utilizes the single-ended voltage and current amount surveyed, without the need to the data of opposite end, so without the need to communication channel, without the need to considering the problem of data syn-chronization.
(2) although this distance-finding method only utilizes single-end information, not by the impact of trouble spot transition resistance, and fault is positioned at outside half line length, still can ensure distance accuracy.
(3) the present invention utilizes fault component to find range, so distance accuracy is not by the impact of load current.
Accompanying drawing explanation
Fig. 1 is same tower double back transmission line structural representation of the present invention;
Fig. 2 is in embodiment 1, the same tower double back transmission line based on the T-shaped equivalence of lumped parameter after I back transmission line breaks down
modal transformation based on fault component network diagram;
Fig. 3 is in embodiment 1, and I back transmission line, apart from measuring end 50km, singlephase earth fault occurs, and transition resistance is the localization of fault figure in 10 Ω situations;
Fig. 4 is in embodiment 2, the same tower double back transmission line based on the T-shaped equivalence of lumped parameter after II back transmission line breaks down
modal transformation based on fault component network diagram;
Fig. 5 is in embodiment 2, and II back transmission line, apart from measuring end 80km, singlephase earth fault occurs, and transition resistance is the localization of fault figure in 10 Ω situations.
Embodiment
Below in conjunction with embodiment, the invention will be further described.
A kind of distance-finding method only utilizing the non-cross line fault of the same tower double back transmission line of single-end information, when same tower double back transmission line primary Ioops breaks down, the phasor decoupling zero utilizing phase-model transformation matrix to be intercoupled in two loops, obtains the Aerial mode component that two loop line roads are separate; Analytical line modal transformation based on fault component network, fault loop head end (M end) voltage, current failure component is utilized to calculate fault point voltage, utilize non-faulting loop head end voltage, current failure component to calculate end (N end) voltage simultaneously, recycling line end boundary condition calculates fault point voltage, writing out localization of fault function according to the fault point voltage equal columns that two ends calculate, calculating fault distance by solving mapping function.
The concrete steps of this method are as follows:
(1) suppose to break down in same tower double back transmission line I loop, utilize phase-model transformation matrix, the electric current and voltage phasor that two loop line head ends detect is converted to two loop lines phases independently modulus, sets up the same tower double back transmission line based on the T-shaped equivalence of lumped parameter
modal transformation based on fault component network;
(2) same tower double back transmission line is analyzed
modal transformation based on fault component network, by head end voltage failure component
with I loop current fault component
calculate voltage failure component on the left of trouble spot
:
（1）
In formula,
for trouble spot is to the distance of measuring end;
(3) head end voltage failure component is utilized
with II loop current fault component
calculate terminal voltage fault component
and II loop current fault component
:
（2）
（3）
In formula,
be II time line length;
(4) system boundary of end has following restriction relation:
（4）
（5）
(5) utilize
with
calculate voltage failure component on the right side of trouble spot
:
（6）
In formula,
be I time line length;
(6) the equal formation range equation of fault point voltage is utilized to be:
（7）
Fault distance is
（8）
Embodiment one: same tower double back transmission line as shown in Figure 1.Its line parameter circuit value is as follows: electric pressure is 500kV, total track length 140km, and I time line impedance is: 0.011344+j0.26054 Ω/km, and II time line impedance is: 0.011344+j0.26054 Ω/km.Data sampling rate is 20kHz.There is singlephase earth fault apart from M measuring end 50km in I loop line road, transition resistance is 10 Ω.
(1) utilize phase-model transformation matrix, the electric current and voltage phasor that two loop line head ends detect is converted to two loop lines phases independently modulus, sets up the same tower double back transmission line based on the T-shaped equivalence of lumped parameter
modal transformation based on fault component network (as shown in Figure 2,
for circuit unit positive sequence resistance value,
for circuit unit positive sequence inductance value,
for M end system positive sequence resistance value,
for M end system positive sequence inductance value,
for N end system positive sequence resistance value,
for N end system positive sequence inductance value,
for M terminal voltage fault component,
for N terminal voltage fault component,
for M holds current failure component,
for N holds current failure component,
for M holds I loop line road current failure component,
for M holds II loop line road current failure component,
for N holds I loop line road current failure component,
for N holds II loop line road current failure component).
(2) fault distance is calculated according to step (2) ~ (6) in claims
=50.9km, its localization of fault figure as shown in Figure 3.
(3) adopt method of the present invention, in embodiment 1, carried out simulating, verifying to different fault distances and different stake resistances, result is as shown in the table.
Embodiment two: same tower double back transmission line as shown in Figure 1.Its line parameter circuit value is as follows: electric pressure is 500kV, total track length 140km, and I time line impedance is: 0.011344+j0.26054 Ω/km, and II time line impedance is: 0.011344+j0.26054 Ω/km.Data sampling rate is 20kHz.There is singlephase earth fault apart from M measuring end 80km in II loop line road, transition resistance is 10 Ω.
(1)) utilize phase-model transformation matrix, the electric current and voltage phasor that two loop line head ends detect is converted to two loop lines phases independently modulus, sets up the same tower double back transmission line based on the T-shaped equivalence of lumped parameter
modal transformation based on fault component network (as shown in Figure 4,
for circuit unit positive sequence resistance value,
for circuit unit positive sequence inductance value,
for M end system positive sequence resistance value,
for M end system positive sequence inductance value,
for N end system positive sequence resistance value,
for N end system positive sequence inductance value,
for M terminal voltage fault component,
for N terminal voltage fault component,
for M holds current failure component,
for N holds current failure component,
for M holds I loop line road current failure component,
for M holds II loop line road current failure component,
for N holds I loop line road current failure component,
for N holds II loop line road current failure component).
(2) fault distance is calculated according to step (2) ~ (6) in claims
=80.3km, its localization of fault figure as shown in Figure 3.
(3) adopt method of the present invention, in embodiment 1, carried out simulating, verifying to different fault distances and different stake resistances, result is as shown in the table.
By reference to the accompanying drawings the specific embodiment of the present invention is explained in detail above, but the invention is not restricted to above-mentioned embodiment, in the ken that those of ordinary skill in the art possess, various change can also be made under the prerequisite not departing from present inventive concept.
Claims (1)
1. one kind only utilizes the distance-finding method of the non-cross line fault of the same tower double back transmission line of single-end information, it is characterized in that: when same tower double back transmission line primary Ioops breaks down, the phasor decoupling zero utilizing phase-model transformation matrix to be intercoupled in two loops, obtains the Aerial mode component that two loop line roads are separate; Analytical line modal transformation based on fault component network, fault loop head end voltage, current failure component is utilized to calculate fault point voltage, utilize non-faulting loop head end voltage, current failure component to calculate terminal voltage simultaneously, recycling line end boundary condition calculates fault point voltage, writing out localization of fault function according to the fault point voltage equal columns that two ends calculate, calculating fault distance by solving mapping function;
Concrete steps are as follows:
(1) suppose to break down in same tower double back transmission line I loop, utilize phase-model transformation matrix, the electric current and voltage phasor that two loop line head ends detect is converted to two loop lines phases independently modulus, sets up the same tower double back transmission line α modal transformation based on fault component network based on the T-shaped equivalence of lumped parameter;
(2) same tower double back transmission line α modal transformation based on fault component network is analyzed, by head end voltage failure component Vu
mwith I loop current fault component Vi
mIcalculate voltage failure component Vu on the left of trouble spot
f, left:
Vu
f,left＝Vu
M-0.5x
f(R
sVi
MI+L
sdVi
MI/dt)
+0.5x
f 2(R
sC
sdVu
M/dt+L
sC
sd
2Vu
M/dt
2)
-0.25x
f 2(R
s 2C
sdVi
MI/dt+2R
sL
sC
sd
2Vi
MI/dt
2+L
s 2C
sd
3Vi
MI/dt
3) (1)
In formula, x
ffor trouble spot is to the distance of measuring end;
(3) head end voltage failure component Vu is utilized
mwith II loop current fault component Vi
mIIcalculate terminal voltage fault component Vu
nand II loop current fault component Vi
nII:
Vu
N＝Vu
M-0.5l
2(R
sVi
MII+L
sdVi
MII/dt)
+0.5l
2 2(R
sC
sdVu
M/dt+L
sC
sd
2Vu
M/dt
2)
-0.25l
2 2(R
s 2C
sdVi
MII/dt+2R
sL
sC
sd
2Vi
MII/dt
2+L
s 2C
sd
3Vi
MII/dt
3) (2)
Vi
NII＝-Vi
j＝-(Vi
MII-l
2C
sdVu
j/dt)
＝-(Vi
MII-l
2C
sdVu
M/dt+0.5l
2R
sC
sdVu
M/dt+0.5l
2L
sC
sd
2Vi
MII/dt
2) (3)
In formula, l
2be II time line length;
(4) system boundary of end has following restriction relation:
Vu
N＝R
NVi
N+L
NdVi
N/dt (4)
Vi
NI＝-(Vi
N-Vi
NII) (5)
(5) Vu is utilized
nand Vi
nIcalculate voltage failure component Vu on the right side of trouble spot
f, right:
Vu
f,right＝Vu
N-0.5(l
1-x
f)(R
sVi
NI+L
sdVi
NI/dt)
+0.5(l
1-x
f)
2(R
sC
sdVu
N/dt+L
sC
sd
2Vu
N/dt
2)
-0.25(l
1-x
f)
2(R
s 2C
sdVi
NI/dt+2R
sL
sC
sd
2Vi
NI/dt
2+L
s 2C
sd
3Vi
NI/dt
3) (6)
In formula, l
1be I time line length;
(6) the equal formation range equation of fault point voltage is utilized to be:
f(x)＝sum(abs(Vu
f,left-Vu
f,right))x∈[0,l
1] (7)
Fault distance is x
f
x
f＝min(f(x))x∈[0,l
1] (8)
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| CN107015115B (en) * | 2017-04-13 | 2020-02-21 | 南京电力工程设计有限公司 | Fault location method for double-circuit transmission line on same tower |
| CN107817420B (en) * | 2017-09-18 | 2020-03-24 | 天津大学 | Non-synchronous data fault location method for non-whole-course same-tower double-circuit power transmission line |
| CN111624510B (en) * | 2020-06-11 | 2022-08-23 | 国网四川省电力公司电力科学研究院 | Method and device for acquiring short-circuit impedance of grounding electrode circuit based on composite modulus network |
| CN117805555B (en) * | 2024-02-28 | 2024-05-03 | 昆明理工大学 | Two-way deduction four-terminal flexible direct current transmission line fault location method and system |
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