CN104062551A - Rapid positioning method for double-circuit line non-same-name phase crossover line ground fault - Google Patents

Abstract

The invention discloses a rapid positioning method for a double-circuit line non-same-name phase crossover line ground fault. According to the method, fault phase voltage, fault phase current and zero sequence current at the protection installation position of a circuit line I of double circuits on the same tower are firstly measured, a binary search method is adopted, the phase characteristic that phases of relative coefficients before and after the non-same-name phase crossover line ground fault suddenly change to be smaller than zero from phases greater than zero and the amplitude value characteristic that the amplitude values of the relative coefficients at the non-same-name crossover line ground fault point are minimum are comprehensively utilized, so that accurate distance measuring on the double-circuit line non-same-name phase crossover line ground fault is achieved, high capacity for resistance to transition resistance and the load current is achieved, and it is guaranteed that no fault distance measuring dead zones exist when the double-circuit line non-same-name phase crossover line ground fault happens on an outlet in the forward direction. The binary search method is adopted for searching for the non-same-name phase crossover line ground fault point, the calculation amount is one half that of a common one-dimensional search method, and therefore rapid single-ended distance measuring on the double-circuit line non-same-name ground fault is achieved.

Description

The non-same famous prime minister's cross-line earth fault method for rapidly positioning of a kind of double-circuit line

Technical field

The present invention relates to Relay Protection Technology in Power System field, specifically relate to a kind of method for rapidly positioning that utilizes relative coefficient magnitude-phase characteristics to realize the non-same famous prime minister's cross-line earth fault of double-circuit line.

Background technology

Divide from the electric parameters used of finding range, the method for fault localization can be divided into two large classes: both-end distance measuring and single end distance measurement.Two-terminal Fault Location method is to utilize transmission line of electricity two ends electric parameters to determine the method for transmission line malfunction position, and it need to obtain opposite end electric parameters by passage, therefore strong to the dependence of passage, is also subject to the impact of both-end sampling value synchronization in actual use.Single end distance measurement method is only to utilize the electric current and voltage data of transmission line of electricity one end to determine a kind of method of transmission line malfunction position, because it only needs an end data, need not communication and data synchronizer, operating cost is low and algorithm stable, therefore in mid & low-voltage line, has obtained application widely.At present, method of single end distance measurement is mainly divided into two classes, and a class is traveling wave method, and another kind of is impedance method.Traveling wave method utilizes the transmission character of fault transient travelling wave to find range, and precision is high, not affected by the method for operation, excessive resistance etc., but very high to sampling rate requirement, needs special wave recording device, does not obtain at present substantial application.Impedance method is utilized the voltage after fault, the impedance that the magnitude of current calculates fault loop, the characteristic being directly proportional to impedance according to line length is found range, range measurement principle is simple and reliable, but while being applied to analyses for double circuits on same tower singlephase earth fault one-end fault ranging, distance accuracy is subject to zero-sequence mutual inductance between trouble spot transition resistance and line to be affected serious.Between analyses for double circuits on same tower line, have zero-sequence mutual inductance, zero-sequence mutual inductance can exert an influence to zero sequence compensation coefficient, and then causes impedance method range finding resultant error bigger than normal.If there is single-phase high resistance earthing fault in analyses for double circuits on same tower, be subject to zero-sequence mutual inductance and high transition resistance combined influence between line, impedance method range finding result usually exceeds total track length or without range finding result, abort situation information accurately cannot be provided, cause line fault line walking difficulty, be unfavorable for fault discharge and the fast quick-recovery of line powering fast.

Summary of the invention

The object of the invention is to overcome the deficiency that prior art exists, a kind of method for rapidly positioning that utilizes relative coefficient magnitude-phase characteristics to realize the non-same famous prime minister's cross-line earth fault of double-circuit line is provided.The method adopts the non-same famous prime minister's cross-line earth fault of binary search search, and operand is 1/2nd of conventional linear search method operand, realizes the single-ended quick distance measurement of the non-same famous prime minister's cross-line earth fault of double-circuit line.Relative coefficient phase place before and after the non-same famous prime minister's cross-line earth fault of the method comprehensive utilization is by being greater than zero precision ranging that sports the relative coefficient amplitude that is less than zero this phase propetry and non-same famous prime minister's cross-line earth fault place and reach minimum this amplitude characteristic and realize the non-same famous prime minister's cross-line earth fault of double-circuit line, eliminate zero-sequence mutual inductance between line, the impact on fault localization precision of transition resistance and load current, there is the ability of very strong anti-transition resistance and load current impact, non-fault range finding dead band when the non-same famous prime minister's cross-line earth fault of double-circuit line occurs the outlet of protection positive dirction.

For completing above-mentioned purpose, the present invention adopts following technical scheme:

The non-same famous prime minister's cross-line earth fault method for rapidly positioning of a kind of double-circuit line, is characterized in that, comprises following sequential steps:

(1) protector measuring analyses for double circuits on same tower I returns the fault phase voltage of route protection installation place fault phase electric current and zero-sequence current wherein, φ=I loop line road A phase or I loop line road B phase or I loop line road C phase;

(2) protective device calculates the zero sequence compensation electric current on analyses for double circuits on same tower I loop line road

$\mathrm{\Δ}\stackrel{\·}{I}={\stackrel{\·}{I}}_{\mathrm{I\φ}}+\frac{Z_{I0}-Z_{I1}}{Z_{I1}}{\stackrel{\·}{I}}_{I0}+\frac{Z_m}{3Z_{I1}}{\stackrel{\·}{I}}_{I0}(-\cos (r_1+r_2-\mathrm{\β})-j\sin (r_1+r_2-\mathrm{\β}))$

Wherein, $r_1={\sin }^{-1}\left(\frac{a_3{b}_1}{\sqrt{{\left(a_3{b}_1\right)}^2+{\left(a_1{b}_3\right)}^2}}\right);r_2={\sin }^{-1}\left(\frac{a_1{b}_2-a_2{b}_1}{\sqrt{{\left(a_3{b}_1\right)}^2+{\left(a_1{b}_3\right)}^2}}\right);a_1=\mathrm{Be}\left(\frac{{\stackrel{\·}{U}}_{\mathrm{I\φ}}}{Z_{I1}}\right);b_1=\mathrm{Im}\left(\frac{{\stackrel{\·}{U}}_{\mathrm{I\φ}}}{Z_{I1}}\right);$ $a_2=\mathrm{Be}({\stackrel{\·}{I}}_{\mathrm{I\φ}}+\frac{Z_{I0}-Z_{I1}}{Z_{I1}}{\stackrel{\·}{I}}_{I0});b_2=\mathrm{Im}({\stackrel{\·}{I}}_{\mathrm{I\φ}}+\frac{Z_{I0}-Z_{I1}}{Z_{I1}}{\stackrel{\·}{I}}_{I0});a_3=b_3=\left|\frac{Z_m}{3Z_{I1}}{\stackrel{\·}{I}}_{I0}\right|;\mathrm{\β}=\mathrm{Arg}\left(\frac{Z_m}{3Z_{I1}}{\stackrel{\·}{I}}_{I0}\right);$ Z _mfor the zero-sequence mutual inductance between analyses for double circuits on same tower I loop line road and analyses for double circuits on same tower II loop line road; Z _i0for the zero sequence impedance on analyses for double circuits on same tower I loop line road; Z _i1for the positive sequence impedance on analyses for double circuits on same tower I loop line road; φ=I loop line road A phase or I loop line road B phase or I loop line road C phase; for real part; for imaginary part; for real part; for imaginary part; J is complex operator;

(3) protective device makes l _x=0, l _y=l, wherein, l _x, l _z, l _ybe respectively search variables; L is that analyses for double circuits on same tower I returns line length;

(4) protective device calculates and returns route protection installation place l apart from analyses for double circuits on same tower I _xthe fault phase voltage of point $\stackrel{\·}{U}\left(l_x\right)={\stackrel{\·}{U}}_{\mathrm{I\φ}}-\frac{l_x}{l}{Z}_{I1}\mathrm{\Δ}\stackrel{\·}{I};$

(5) protective device calculates non-same famous prime minister's cross-line earth fault and returns route protection installation place l apart from analyses for double circuits on same tower I _xthe relative coefficient of point $p\left(l_x\right)=\frac{\frac{\mathrm{Re}\left({\stackrel{\·}{U}}_{\mathrm{I\φ}}\right)\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\Δ}\stackrel{\·}{I}\right)-\mathrm{Im}\left({\stackrel{\·}{U}}_{\mathrm{I\φ}}\right)\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\Δ}\stackrel{\·}{I}\right)}{\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\Δ}\stackrel{\·}{I}\right)\mathrm{Re}({\stackrel{\·}{I}}_{I0}+{\stackrel{\·}{I}}_{\mathrm{II}0})-\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\Δ}\stackrel{\·}{I}\right)\mathrm{Im}({\stackrel{\·}{I}}_{I0}+{\stackrel{\·}{I}}_{\mathrm{II}0})}({\stackrel{\·}{I}}_{I0}+{\stackrel{\·}{I}}_{\mathrm{II}0})-\stackrel{\·}{U}\left(l_x\right)}{\frac{Z_{I1}}{l}\mathrm{\Δ}\stackrel{\·}{I}};$

Wherein, l is that analyses for double circuits on same tower I returns line length; Z _i1for the positive sequence impedance on analyses for double circuits on same tower I loop line road; φ=I loop line road A phase or I loop line road B phase or I loop line road C phase; for real part; for imaginary part; for real part; for imaginary part; for real part; for imaginary part; for the zero-sequence current on analyses for double circuits on same tower II loop line road, and

(6) protective device calculates and returns route protection installation place l apart from analyses for double circuits on same tower I _ythe fault phase voltage of point $\stackrel{\·}{U}\left(l_y\right)={\stackrel{\·}{U}}_{\mathrm{I\φ}}-\frac{l_y}{l}{Z}_{I1}\mathrm{\Δ}\stackrel{\·}{I};$

(7) protective device calculates non-same famous prime minister's cross-line earth fault and returns route protection installation place l apart from analyses for double circuits on same tower I _ythe relative coefficient of point $p\left(l_y\right)=\frac{\frac{\mathrm{Re}\left({\stackrel{\·}{U}}_{\mathrm{I\φ}}\right)\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\Δ}\stackrel{\·}{I}\right)-\mathrm{Im}\left({\stackrel{\·}{U}}_{\mathrm{I\φ}}\right)\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\Δ}\stackrel{\·}{I}\right)}{\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\Δ}\stackrel{\·}{I}\right)\mathrm{Re}({\stackrel{\·}{I}}_{I0}+{\stackrel{\·}{I}}_{\mathrm{II}0})-\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\Δ}\stackrel{\·}{I}\right)\mathrm{Im}({\stackrel{\·}{I}}_{I0}+{\stackrel{\·}{I}}_{\mathrm{II}0})}({\stackrel{\·}{I}}_{I0}+{\stackrel{\·}{I}}_{\mathrm{II}0})-\stackrel{\·}{U}\left(l_y\right)}{\frac{Z_{I1}}{l}\mathrm{\Δ}\stackrel{\·}{I}};$

(8) protective device calculates and returns route protection installation place l apart from analyses for double circuits on same tower I _zthe fault phase voltage of point $\stackrel{\·}{U}\left(l_z\right)={\stackrel{\·}{U}}_{\mathrm{I\φ}}-\frac{l_z}{l}{Z}_{I1}\mathrm{\Δ}\stackrel{\·}{I};$

(9) protective device calculates non-same famous prime minister's cross-line earth fault and returns route protection installation place l apart from analyses for double circuits on same tower I _zthe relative coefficient of point $p\left(l_z\right)=\frac{\frac{\mathrm{Re}\left({\stackrel{\·}{U}}_{\mathrm{I\φ}}\right)\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\Δ}\stackrel{\·}{I}\right)-\mathrm{Im}\left({\stackrel{\·}{U}}_{\mathrm{I\φ}}\right)\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\Δ}\stackrel{\·}{I}\right)}{\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\Δ}\stackrel{\·}{I}\right)\mathrm{Re}({\stackrel{\·}{I}}_{I0}+{\stackrel{\·}{I}}_{\mathrm{II}0})-\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\Δ}\stackrel{\·}{I}\right)\mathrm{Im}({\stackrel{\·}{I}}_{I0}+{\stackrel{\·}{I}}_{\mathrm{II}0})}({\stackrel{\·}{I}}_{I0}+{\stackrel{\·}{I}}_{\mathrm{II}0})-\stackrel{\·}{U}\left(l_z\right)}{\frac{Z_{I1}}{l}\mathrm{\Δ}\stackrel{\·}{I}};$

(10) protective device judges Arg (p (l _z)) >0 and Arg (p (l _y)) <0 and l _y-l _xwhether > ξ sets up simultaneously, if set up simultaneously, and shilling l _x=l _z, l _y=l _y, then make return to step (4); Wherein, ξ is the threshold value of adjusting, desirable ξ=0.1l;

(11) protective device judges Arg (p (l _z)) <0 and Arg (p (l _y)) <0 and l _y-l _xwhether > ξ sets up simultaneously, if set up simultaneously, and shilling l _x=l _x, l _y=l _z, then make return to step (4); Wherein, ξ is the threshold value of adjusting, desirable ξ=0.1l;

(12) protective device is from returning the l of route protection installation place apart from analyses for double circuits on same tower I _xpoint starts, and increases progressively with fixed step size Δ l, calculates successively every bit l on analyses for double circuits on same tower I loop line road _xthe relative coefficient amplitude at place | p (l _x) |, until return the l of route protection installation place apart from analyses for double circuits on same tower I _ypoint finishes; Then choose relative coefficient amplitude on analyses for double circuits on same tower I loop line road | p (l _x) | minimum point is non-same famous prime minister's cross-line earth fault on analyses for double circuits on same tower I loop line road and II loop line road.

Feature of the present invention and technological achievement:

The inventive method is only used single-ended single back line electric parameters; do not need to introduce another loop line road electric parameters; Protection secondary circuit is separate does not go here and there mutually; strengthen fault localization result accuracy; and fault localization precision is not subject to the impact of power system operation mode, in the time that larger change occurs power system operation mode, still there is very high distance accuracy.The inventive method is taken into account the impact of zero-sequence mutual inductance between line, has eliminated the impact of zero-sequence mutual inductance on fault localization precision between line.The inventive method adopts the non-same famous prime minister's cross-line earth fault of binary search search, and operand is 1/2nd of conventional linear search method operand, realizes the single-ended quick distance measurement of the non-same famous prime minister's cross-line earth fault of double-circuit line.Relative coefficient phase place before and after the non-same famous prime minister's cross-line earth fault of the inventive method comprehensive utilization is by being greater than zero precision ranging that sports the relative coefficient amplitude that is less than zero this phase propetry and non-same famous prime minister's cross-line earth fault place and reach minimum this amplitude characteristic and realize the non-same famous prime minister's cross-line earth fault of double-circuit line, eliminate zero-sequence mutual inductance between line, the impact on fault localization precision of transition resistance and load current, there is the ability of very strong anti-transition resistance and load current impact, non-fault range finding dead band when the non-same famous prime minister's cross-line earth fault of double-circuit line occurs the outlet of protection positive dirction.

Brief description of the drawings

Fig. 1 is application analyses for double circuits on same tower transmission system schematic diagram of the present invention.

Embodiment

Fig. 1 is application analyses for double circuits on same tower transmission system schematic diagram of the present invention.In Fig. 1, PT is voltage transformer (VT); CT is current transformer.Protector measuring analyses for double circuits on same tower I returns the fault phase voltage of route protection installation place fault phase electric current and zero-sequence current wherein, φ=I loop line road A phase or I loop line road B phase or I loop line road C phase.

Protective device calculates the zero sequence compensation electric current on analyses for double circuits on same tower I loop line road

$\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}={\stackrel{\&CenterDot;}{I}}_{\mathrm{I\&phi;}}+\frac{Z_{I0}-Z_{I1}}{Z_{I1}}{\stackrel{\&CenterDot;}{I}}_{I0}+\frac{Z_m}{3Z_{I1}}{\stackrel{\&CenterDot;}{I}}_{I0}(-\cos (r_1+r_2-\mathrm{\&beta;})-j\sin (r_1+r_2-\mathrm{\&beta;}))$

Wherein, $r_1={\sin }^{-1}\left(\frac{a_3{b}_1}{\sqrt{{\left(a_3{b}_1\right)}^2+{\left(a_1{b}_3\right)}^2}}\right);r_2={\sin }^{-1}\left(\frac{a_1{b}_2-a_2{b}_1}{\sqrt{{\left(a_3{b}_1\right)}^2+{\left(a_1{b}_3\right)}^2}}\right);a_1=\mathrm{Be}\left(\frac{{\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}}{Z_{I1}}\right);b_1=\mathrm{Im}\left(\frac{{\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}}{Z_{I1}}\right);$ $a_2=\mathrm{Be}({\stackrel{\&CenterDot;}{I}}_{\mathrm{I\&phi;}}+\frac{Z_{I0}-Z_{I1}}{Z_{I1}}{\stackrel{\&CenterDot;}{I}}_{I0});b_2=\mathrm{Im}({\stackrel{\&CenterDot;}{I}}_{\mathrm{I\&phi;}}+\frac{Z_{I0}-Z_{I1}}{Z_{I1}}{\stackrel{\&CenterDot;}{I}}_{I0});a_3=b_3=\left|\frac{Z_m}{3Z_{I1}}{\stackrel{\&CenterDot;}{I}}_{I0}\right|;\mathrm{\&beta;}=\mathrm{Arg}\left(\frac{Z_m}{3Z_{I1}}{\stackrel{\&CenterDot;}{I}}_{I0}\right);$ Z _mfor the zero-sequence mutual inductance between analyses for double circuits on same tower I loop line road and analyses for double circuits on same tower II loop line road; Z _i0for the zero sequence impedance on analyses for double circuits on same tower I loop line road; Z _i1for the positive sequence impedance on analyses for double circuits on same tower I loop line road; φ=I loop line road A phase or I loop line road B phase or I loop line road C phase; for real part; for imaginary part; for real part; for imaginary part; J is complex operator.

Relative coefficient phase place before and after the non-same famous prime minister's cross-line earth fault of the inventive method comprehensive utilization is by being greater than zero precision ranging that sports the relative coefficient amplitude that is less than zero this phase propetry and non-same famous prime minister's cross-line earth fault place and reach minimum this amplitude characteristic and realize the non-same famous prime minister's cross-line earth fault of double-circuit line, and the step of specifically finding range is as follows:

(1) protective device makes l _x=0, l _y=l, wherein, l _x, l _z, l _ybe respectively search variables; L is that analyses for double circuits on same tower I returns line length;

(2) protective device calculates and returns route protection installation place l apart from analyses for double circuits on same tower I _xthe fault phase voltage of point wherein, Z _mfor the zero-sequence mutual inductance between analyses for double circuits on same tower I loop line road and analyses for double circuits on same tower II loop line road; Z _i0for the zero sequence impedance on analyses for double circuits on same tower I loop line road; Z _i1for the positive sequence impedance on analyses for double circuits on same tower I loop line road; φ=I loop line road A phase or I loop line road B phase or I loop line road C phase;

(3) protective device calculates non-same famous prime minister's cross-line earth fault and returns route protection installation place l apart from analyses for double circuits on same tower I _xthe relative coefficient of point $p\left(l_x\right)=\frac{\frac{\mathrm{Re}\left({\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}\right)\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)-\mathrm{Im}\left({\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}\right)\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)}{\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)\mathrm{Re}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})-\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)\mathrm{Im}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})-\stackrel{\&CenterDot;}{U}\left(l_x\right)}{\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}};$

Wherein, l is that analyses for double circuits on same tower I returns line length; Z _i1for the positive sequence impedance on analyses for double circuits on same tower I loop line road; φ=I loop line road A phase or I loop line road B phase or I loop line road C phase; for real part; for imaginary part; for real part; for imaginary part; for real part; for imaginary part; for the zero-sequence current on analyses for double circuits on same tower II loop line road, and

(4) protective device calculates and returns route protection installation place l apart from analyses for double circuits on same tower I _ythe fault phase voltage of point $\stackrel{\&CenterDot;}{U}\left(l_y\right)={\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}-\frac{l_y}{l}{Z}_{I1}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I};$

(5) protective device calculates non-same famous prime minister's cross-line earth fault and returns route protection installation place l apart from analyses for double circuits on same tower I _ythe relative coefficient of point $p\left(l_y\right)=\frac{\frac{\mathrm{Re}\left({\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}\right)\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)-\mathrm{Im}\left({\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}\right)\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)}{\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)\mathrm{Re}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})-\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)\mathrm{Im}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})-\stackrel{\&CenterDot;}{U}\left(l_y\right)}{\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}};$

(6) protective device calculates and returns route protection installation place l apart from analyses for double circuits on same tower I _zthe fault phase voltage of point $\stackrel{\&CenterDot;}{U}\left(l_z\right)={\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}-\frac{l_z}{l}{Z}_{I1}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I};$

(7) protective device calculates non-same famous prime minister's cross-line earth fault and returns route protection installation place l apart from analyses for double circuits on same tower I _zthe relative coefficient of point $p\left(l_z\right)=\frac{\frac{\mathrm{Re}\left({\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}\right)\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)-\mathrm{Im}\left({\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}\right)\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)}{\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)\mathrm{Re}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})-\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)\mathrm{Im}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})-\stackrel{\&CenterDot;}{U}\left(l_z\right)}{\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}};$

(8) protective device judges Arg (p (l _z)) >0 and Arg (p (l _y)) <0 and l _y-l _xwhether > ξ sets up simultaneously, if set up simultaneously, and shilling l _x=l _z, l _y=l _y, then make return to step (2); Wherein, ξ is the threshold value of adjusting, desirable ξ=0.1l;

(9) protective device judges Arg (p (l _z)) <0 and Arg (p (l _y)) <0 and l _y-l _xwhether > ξ sets up simultaneously, if set up simultaneously, and shilling l _x=l _x, l _y=l _z, then make return to step (2); Wherein, ξ is the threshold value of adjusting, desirable ξ=0.1l;

(10) protective device is from returning the l of route protection installation place apart from analyses for double circuits on same tower I _xpoint starts, and increases progressively with fixed step size Δ l, calculates successively each l on analyses for double circuits on same tower I loop line road _xthe relative coefficient amplitude at some place | p (l _x) |, until return the l of route protection installation place apart from analyses for double circuits on same tower I _ypoint finishes, and then chooses relative coefficient amplitude on analyses for double circuits on same tower I loop line road | p (l _x) | minimum point is non-same famous prime minister's cross-line earth fault on analyses for double circuits on same tower I loop line road and II loop line road.

The inventive method is only used single-ended single back line electric parameters; do not need to introduce another loop line road electric parameters; Protection secondary circuit is separate does not go here and there mutually; strengthen fault localization result accuracy; and fault localization precision is not subject to the impact of power system operation mode, in the time that larger change occurs power system operation mode, still there is very high distance accuracy.The inventive method is taken into account the impact of zero-sequence mutual inductance between line, has eliminated the impact of zero-sequence mutual inductance on fault localization precision between line.The inventive method adopts the non-same famous prime minister's cross-line earth fault of binary search search, and operand is 1/2nd of conventional linear search method operand, realizes the single-ended quick distance measurement of the non-same famous prime minister's cross-line earth fault of double-circuit line.Relative coefficient phase place before and after the non-same famous prime minister's cross-line earth fault of the inventive method comprehensive utilization is by being greater than zero precision ranging that sports the relative coefficient amplitude that is less than zero this phase propetry and non-same famous prime minister's cross-line earth fault place and reach minimum this amplitude characteristic and realize the non-same famous prime minister's cross-line earth fault of double-circuit line, eliminate zero-sequence mutual inductance between line, the impact on fault localization precision of transition resistance and load current, there is the ability of very strong anti-transition resistance and load current impact, non-fault range finding dead band when the non-same famous prime minister's cross-line earth fault of double-circuit line occurs the outlet of protection positive dirction.

The foregoing is only preferred embodiment of the present invention; but protection scope of the present invention is not limited to this; any be familiar with those skilled in the art the present invention disclose technical scope in, the variation that can expect easily or replacement, within all should being encompassed in protection scope of the present invention.

Claims (1)

1. the non-same famous prime minister's cross-line earth fault method for rapidly positioning of double-circuit line, is characterized in that, comprises following sequential steps:

(1) protector measuring analyses for double circuits on same tower I returns the fault phase voltage of route protection installation place fault phase electric current and zero-sequence current wherein, φ=I loop line road A phase or I loop line road B phase or I loop line road C phase;

(2) protective device calculates the zero sequence compensation electric current on analyses for double circuits on same tower I loop line road

$\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}={\stackrel{\&CenterDot;}{I}}_{\mathrm{I\&phi;}}+\frac{Z_{I0}-Z_{I1}}{Z_{I1}}{\stackrel{\&CenterDot;}{I}}_{I0}+\frac{Z_m}{3Z_{I1}}{\stackrel{\&CenterDot;}{I}}_{I0}(-\cos (r_1+r_2-\mathrm{\&beta;})-j\sin (r_1+r_2-\mathrm{\&beta;}))$

Wherein, $r_1={\sin }^{-1}\left(\frac{a_3{b}_1}{\sqrt{{\left(a_3{b}_1\right)}^2+{\left(a_1{b}_3\right)}^2}}\right);r_2={\sin }^{-1}\left(\frac{a_1{b}_2-a_2{b}_1}{\sqrt{{\left(a_3{b}_1\right)}^2+{\left(a_1{b}_3\right)}^2}}\right);a_1=\mathrm{Be}\left(\frac{{\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}}{Z_{I1}}\right);b_1=\mathrm{Im}\left(\frac{{\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}}{Z_{I1}}\right);$ $a_2=\mathrm{Be}({\stackrel{\&CenterDot;}{I}}_{\mathrm{I\&phi;}}+\frac{Z_{I0}-Z_{I1}}{Z_{I1}}{\stackrel{\&CenterDot;}{I}}_{I0});b_2=\mathrm{Im}({\stackrel{\&CenterDot;}{I}}_{\mathrm{I\&phi;}}+\frac{Z_{I0}-Z_{I1}}{Z_{I1}}{\stackrel{\&CenterDot;}{I}}_{I0});a_3=b_3=\left|\frac{Z_m}{3Z_{I1}}{\stackrel{\&CenterDot;}{I}}_{I0}\right|;\mathrm{\&beta;}=\mathrm{Arg}\left(\frac{Z_m}{3Z_{I1}}{\stackrel{\&CenterDot;}{I}}_{I0}\right);$ Z _mfor the zero-sequence mutual inductance between analyses for double circuits on same tower I loop line road and analyses for double circuits on same tower II loop line road; Z _i0for the zero sequence impedance on analyses for double circuits on same tower I loop line road; Z _i1for the positive sequence impedance on analyses for double circuits on same tower I loop line road; φ=I loop line road A phase or I loop line road B phase or I loop line road C phase; for real part; for imaginary part; for real part; for imaginary part; J is complex operator;

(3) protective device makes l _x=0, l _y=l, wherein, l _x, l _z, l _ybe respectively search variables; L is that analyses for double circuits on same tower I returns line length;

(4) protective device calculates and returns route protection installation place l apart from analyses for double circuits on same tower I _xthe fault phase voltage of point $\stackrel{\&CenterDot;}{U}\left(l_x\right)={\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}-\frac{l_x}{l}{Z}_{I1}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I};$

(5) protective device calculates non-same famous prime minister's cross-line earth fault and returns route protection installation place l apart from analyses for double circuits on same tower I _xthe relative coefficient of point $p\left(l_x\right)=\frac{\frac{\mathrm{Re}\left({\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}\right)\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)-\mathrm{Im}\left({\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}\right)\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)}{\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)\mathrm{Re}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})-\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)\mathrm{Im}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})-\stackrel{\&CenterDot;}{U}\left(l_x\right)}{\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}};$

Wherein, l is that analyses for double circuits on same tower I returns line length; Z _i1for the positive sequence impedance on analyses for double circuits on same tower I loop line road; φ=I loop line road A phase or I loop line road B phase or I loop line road C phase; for real part; for imaginary part; for real part; for imaginary part; for real part; for imaginary part; for the zero-sequence current on analyses for double circuits on same tower II loop line road, and

(6) protective device calculates and returns route protection installation place l apart from analyses for double circuits on same tower I _ythe fault phase voltage of point $\stackrel{\&CenterDot;}{U}\left(l_y\right)={\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}-\frac{l_y}{l}{Z}_{I1}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I};$

(7) protective device calculates non-same famous prime minister's cross-line earth fault and returns route protection installation place l apart from analyses for double circuits on same tower I _ythe relative coefficient of point $p\left(l_y\right)=\frac{\frac{\mathrm{Re}\left({\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}\right)\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)-\mathrm{Im}\left({\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}\right)\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)}{\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)\mathrm{Re}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})-\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)\mathrm{Im}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})-\stackrel{\&CenterDot;}{U}\left(l_y\right)}{\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}};$

(8) protective device calculates and returns route protection installation place l apart from analyses for double circuits on same tower I _zthe fault phase voltage of point $\stackrel{\&CenterDot;}{U}\left(l_z\right)={\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}-\frac{l_z}{l}{Z}_{I1}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I};$

(9) protective device calculates non-same famous prime minister's cross-line earth fault and returns route protection installation place l apart from analyses for double circuits on same tower I _zthe relative coefficient of point $p\left(l_z\right)=\frac{\frac{\mathrm{Re}\left({\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}\right)\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)-\mathrm{Im}\left({\stackrel{\&CenterDot;}{U}}_{\mathrm{I\&phi;}}\right)\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)}{\mathrm{Im}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)\mathrm{Re}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})-\mathrm{Re}\left(\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}\right)\mathrm{Im}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})}({\stackrel{\&CenterDot;}{I}}_{I0}+{\stackrel{\&CenterDot;}{I}}_{\mathrm{II}0})-\stackrel{\&CenterDot;}{U}\left(l_z\right)}{\frac{Z_{I1}}{l}\mathrm{\&Delta;}\stackrel{\&CenterDot;}{I}};$

(10) protective device judges Arg (p (l _z)) >0 and Arg (p (l _y)) <0 and l _y-l _xwhether > ξ sets up simultaneously, if set up simultaneously, and shilling l _x=l _z, l _y=l _y, then make return to step (4); Wherein, ξ is the threshold value of adjusting, desirable ξ=0.1l;

(11) protective device judges Arg (p (l _z)) <0 and Arg (p (l _y)) <0 and l _y-l _xwhether > ξ sets up simultaneously, if set up simultaneously, and shilling l _x=l _x, l _y=l _z, then make return to step (4); Wherein, ξ is the threshold value of adjusting, desirable ξ=0.1l;

(12) protective device is from returning the l of route protection installation place apart from analyses for double circuits on same tower I _xpoint starts, and increases progressively with fixed step size Δ l, calculates successively every bit l on analyses for double circuits on same tower I loop line road _xthe relative coefficient amplitude at place | p (l _x) |, until return the l of route protection installation place apart from analyses for double circuits on same tower I _ypoint finishes, and then chooses relative coefficient amplitude on analyses for double circuits on same tower I loop line road | p (l _x) | minimum point is non-same famous prime minister's cross-line earth fault on analyses for double circuits on same tower I loop line road and II loop line road.