CN105223468B - Transmission line of electricity one-end fault ranging method based on mapping function - Google Patents
Transmission line of electricity one-end fault ranging method based on mapping function Download PDFInfo
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- CN105223468B CN105223468B CN201510632301.0A CN201510632301A CN105223468B CN 105223468 B CN105223468 B CN 105223468B CN 201510632301 A CN201510632301 A CN 201510632301A CN 105223468 B CN105223468 B CN 105223468B
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Abstract
The invention discloses a kind of transmission line of electricity one-end fault ranging method based on mapping function; the following steps are included: 1) after transmission line malfunction occurs; three-phase voltage and three-phase current are sampled in protection installation place, and calculate separately three-phase voltage vector sum three-phase current vector using Fourier algorithm；2) zero-sequence current vector is calculated by the resulting three-phase current vector of step 1)；3) according to fault type, corresponding mapping function is chosen；4) search one by one method is used, searches the x for being minimized mapping function, which is fault distance.
Description
Technical field
The present invention relates to a kind of transmission line of electricity one-end fault ranging method based on mapping function, belongs to electric system relay
Protection technique field.
Technical background
Fault localization can promptly and accurately fault point, can not only quickly repair route, guarantee reliable power supply, and right
The safe and stable operation of electric system plays a crucial role.Therefore, fault localization is always protecting electrical power system and control
The research hotspot in field processed.
The angle that fault localization is used from data can be divided into double-end distance measurement method and single end distance measurement method, double-end distance measurement method be using
The electric data at transmission line of electricity both ends realizes fault localization, and single end distance measurement method is that local single-end electrical data is utilized to carry out failure
Ranging.Double-end distance measurement method can be divided into dual ended data synchronous range finding method and the asynchronous telemetry of dual ended data again, and dual ended data is synchronous
Telemetry is generally higher to communicating requirement, needs two end data absolute synchronization of route, otherwise will generate error；Dual ended data is non-
Synchronous range finding method does not require two end data stringent synchronization of route, but there is still a need for data transmission channel is laid with, this will increase fund
Investment；And single end distance measurement method does not need communication channel, and it is economic and reliable, simple and easy, therefore, obtained in practical transmission line of electricity
It is widely applied.
Fault localization can be divided into impedance method and travelling wave ranging method from the angle of principle, and impedance method is to utilize event
Hinder the distance principle directly proportional to impedance is measured to realize fault localization, travelling wave ranging method is by wavefront in measured place
Fault distance is determined with the time round-trip back and forth between failure.Impedance method is larger by transition Resistance Influence, so far
The impedance method that can complete to overcome transition resistance is not found yet, meanwhile, impedance method is also easy by peer-to-peer system impedance
With the influence of the method for operation；The range accuracy of travelling wave ranging method is generally greater than impedance method, but the reflection in identification fault point
Traveling wave and generation traveling wave from other discontinuous points have certain difficulty, therefore, regardless of method, it is necessary to its into
Row deeper into research.
Summary of the invention
The present invention provides one kind not by the transmission line of electricity one-end fault ranging side based on mapping function of transition Resistance Influence
Method, measurement accuracy with higher.
Method includes the following steps:
1. a kind of transmission line of electricity one-end fault ranging method based on mapping function, it is characterised in that:
1) after transmission line malfunction occurs, three-phase voltage and three-phase current are sampled in protection installation place, and respectively
Calculate three-phase voltage vector sum three-phase current vector；
2) zero-sequence current vector is calculated according to the resulting three-phase current vector of step 1)；
3) according to fault type, corresponding mapping function is chosen；
4) search one by one method is used, finds the x for being minimized mapping function, which is fault distance.
2. the transmission line of electricity one-end fault ranging method according to claim 1 based on mapping function, feature exist
In: in the step 1), protects installation place to carry out real time data sampling with the sample frequency of 2000Hz at the end route M, obtain
To current sequence iMA(k)、iMB(k)、iMC(k) and contact potential series uMA(k)、uMB(k)、uMC(k), it is counted respectively using Fourier algorithm
The three-phase voltage vector sum three-phase current vector of transmission line of electricity is calculated, specific algorithm is as follows:
Wherein, K=40 is the sampling number of a primitive period,Respectively indicate the protection installation of the end route M
The current vector and voltage vector at place.
3. the transmission line of electricity one-end fault ranging method according to claim 1 based on mapping function, feature exist
In: in the step 2), zero-sequence current vector is calculated according to resulting three-phase current vectorIt is specific to calculate such as formula (3)
It is shown.
4. the transmission line of electricity one-end fault ranging method according to claim 1 based on mapping function, feature exist
In: for different fault types, corresponding mapping function is provided by formula (4)~(12):
Single-phase earthing fault mapping function:
Wherein, fA(x)、fB(x)、fC(x) be respectively A, B, C singlephase earth fault mapping function, κ be zero-sequence current mend
Coefficient is repaid, j is the imaginary part unit of plural number, and imag () indicates to take the imaginary numbers of plural number, | | indicate modulus, x is certain on route
A little and protection the distance between installation place, the value range of x is zero to total track length, C1It (x) is line current breadth coefficient,
Suitable for the mapping function of all fault types, expression are as follows:
C1(x)=(L-x) ZL1+ZN1/(ZM1+LZL1+ZN1)
Wherein, L is total track length, ZM1、ZN1The respectively system positive sequence impedance of the side route M and the side N, ZL1For unit length
Route positive sequence impedance；
Two-phase phase fault mapping function:
Wherein, fAB(x)、fBC(x)、fCAIt (x) is respectively AB, BC, CA two-phase phase fault mapping function；
Two-phase short circuit and ground fault mapping function:
Formula (10) is AB Earth design function, α=ej120°, For event
Hinder the difference at moment with the C phase current vector at moment after two periods,For the zero-sequence current vector of fault moment；
Formula (11) is BC Earth design function, α=ej120°, For
Fault moment and after two periods the A phase current vector at moment difference,For the zero-sequence current vector of fault moment；
Formula (12) is CA Earth design function, α=ej120°, For event
Hinder the difference at moment with moment B phase current vector after two periods,For the zero-sequence current vector of fault moment.
5. the transmission line of electricity one-end fault ranging method according to claim 1 based on mapping function, feature exist
In: the initial value for taking x is 0km, is stepped up x to total track length with 0.01km, then each x is all substituted into mapping functions and is carried out
It calculates, searches out the x that mapping function is minimized, which is fault distance.
The beneficial effects obtained by the present invention are as follows are as follows:
The present invention is using transition impedance imaginary part the characteristics of being zero, derives fault location function, has not received completely in principle
The influence of resistance is crossed, meanwhile, this method does not ignore the phase angle of current distribution factor, does not have in fault location function derivation process
Any approximation, range accuracy with higher are much higher than other single-ended impedance location algorithms.This method only needs local measurement electric
Current voltage signal does not need that special communication channel is arranged, and has preferable practical feasibility.
Detailed description of the invention
Attached drawing 1 is the schematic diagram of the 500kV extra high voltage network model of the embodiment of the present invention.
Attached drawing 2 is the transmission line of electricity one-end fault ranging flow chart based on mapping function.
Specific embodiment
Detailed description are as follows for transmission line of electricity one-end fault ranging method embodiment proposed by the present invention based on mapping function:
It as shown in Fig. 1, is 500kV super-pressure Double-End Source power supply using the transmission line of electricity schematic diagram of the method for the present invention
System, two side bus are M, N, and total track length L is 200km, 20 degree of the advanced side the N power supply of the side M power phase.Using the method for the present invention
Before need to carry out Fault Phase Selection, according to phase selection as a result, choosing corresponding mapping function, finally obtain fault localization distance.If choosing
Phase fault result is BC two-phase short circuit and ground fault, and fault distance protects installation place 155km away from the end M, and transition resistance is 100 Ω.
The side M, N side system parameter are as follows:
Positive sequence system impedance are as follows: ZM1=ZN1=0.9+j19.12888 Ω；
Zero sequence system impedance are as follows: ZM0=ZN0=0.7+j15.48962 Ω；
Line parameter circuit value are as follows:
Positive sequence resistance, inductance, capacitor: r1=0.01786 Ω/km, l1=0.99962 Ω/km, c1=0.01164 μ F/km；
Zero sequence resistance, inductance, capacitor: r1=0.29522 Ω/km, l1=3.31178 Ω/km, c1=0.00769 μ F/km；
Specific step is as follows for embodiment:
1) after transmission line malfunction occurs, three-phase voltage and three-phase current are sampled in protection installation place, and utilizes
Fourier algorithm calculates separately to obtain a certain moment three-phase voltage vector sum three-phase current vector after failure:
2) by three-phase current vectorCalculate zero-sequence current vector
3) it is BC double earthfault according to fault type obtained by phase selection, chooses fault location function are as follows:
Above formula is BC Earth design function, α=ej120°, For
Fault moment and after two periods the A phase current vector at moment difference,For the zero-sequence current vector value of fault moment；
Wherein, corresponding vector calculated result is as follows:
C=1.2709-j0.0301
I′MB=0.7753+j0.4835kA
I′MC=-0.1695-j0.9775kA
4) initial value for taking x is 0km, gradually increases x to total track length with step-length 0.01km, then the numerical value of each x is complete
Portion substitutes into mapping function and is calculated, and searches out the x that mapping function is minimized, which is fault distance, searches and works as x=
Mapping function has minimum value when 157.48km, i.e. fault distance is 157.48km, error 1.24%, specific error calculation public affairs
Formula is Error=| LActual-LComputed|/L × 100%, wherein LActual、LComputedRespectively physical fault distance and the present invention
Measurement fault distance, L is total track length.Table 1~3 gives different location and metallicity single-phase earthing, two-phase phase occurs respectively
Between short circuit and two-phase short circuit and ground fault measurement fault distance.
The measurement fault distance of A, B, C single phase metal ground fault occurs respectively for 1 different location of table
The measurement fault distance of AB, BC, CA two-phase metallic earthing short trouble occurs respectively for 2 different location of table
The measurement fault distance of AB, BC, CA two-phase metallicity phase fault occurs respectively for 3 different location of table
Table 4~6 gives different location and single-phase earthing, two-phase phase fault and two-phase short circuit and ground fault warp occurs respectively
The measurement fault distance of 100 Ω transition resistances.
Measurement fault distance of A, B, C singlephase earth fault through 100 Ω transition resistances occurs respectively for 4 different location of table
Measurement failure of AB, BC, CA two-phase short circuit and ground fault through 100 Ω transition resistances occurs respectively for 5 different location of table
Distance
Measurement failure of AB, BC, CA two-phase phase fault through 100 Ω transition resistances occurs respectively for 6 different location of table
Distance
Claims (4)
1. a kind of transmission line of electricity one-end fault ranging method based on mapping function, which comprises the following steps:
1) after transmission line malfunction occurs, three-phase voltage and three-phase current are sampled in protection installation place, and using in Fu
Leaf algorithm calculates separately three-phase voltage vector sum three-phase current vector；
2) zero-sequence current vector is calculated according to the resulting three-phase current vector of step 1)；
3) for different fault types, corresponding mapping function is provided by formula (1)~(9):
Single-phase earthing fault mapping function:
Wherein, fA(x)、fB(x)、fC(x) be respectively A, B, C singlephase earth fault mapping function, Point
Not Biao Shi the end route M protection installation place A, B, C phase current vector and zero-sequence current vector,It respectively indicates
The voltage vector of installation place A, B, C phase is protected at the end route M, and κ is zero sequence current compensation factor, and j is the imaginary part unit of plural number, imag
() indicates to take the imaginary numbers of plural number, | | indicate modulus, x is the distance between certain point and protection installation place, x on route
Value range be zero to total track length, ZL1For unit length route positive sequence impedance, C1(x) it is line current breadth coefficient, fits
For the mapping function of all fault types, expression are as follows:
C1(x)=(L-x) ZL1+ZN1/(ZM1+LZL1+ZN1)
Wherein, L is total track length, ZM1、ZN1The respectively system positive sequence impedance of the side route M and the side N, ZL1For unit length route
Positive sequence impedance；
Two-phase phase fault mapping function:
Wherein, fAB(x)、fBC(x)、fCAIt (x) is respectively AB, BC, CA two-phase phase fault mapping function；
Two-phase short circuit and ground fault mapping function:
Formula (7) is AB Earth design function,
The difference of the C phase current vector at moment for fault moment and after two periods,For the zero-sequence current vector of fault moment；
Formula (8) is BC Earth design function,
The difference of the A phase current vector at moment for fault moment and after two periods,For the zero-sequence current vector of fault moment；
Formula (9) is CA Earth design function,
The difference of moment B phase current vector for fault moment and after two periods,For the zero-sequence current vector of fault moment；
4) search one by one method is used, finds the x for being minimized mapping function, which is fault distance.
2. the transmission line of electricity one-end fault ranging method according to claim 1 based on mapping function, it is characterised in that:
In the step 1), protects installation place to carry out real time data sampling with the sample frequency of 2000Hz at the end route M, obtain electric current
Sequence iMA(k)、iMB(k)、iMC(k) and contact potential series uMA(k)、uMB(k)、uMC(k), transmission of electricity is calculated separately using Fourier algorithm
The three-phase voltage vector sum three-phase current vector of route, specific algorithm are as follows:
Wherein, K=40 is the sampling number of a primitive period,Respectively indicate the end route M protection installation place
Current vector and voltage vector.
3. the transmission line of electricity one-end fault ranging method according to claim 1 based on mapping function, it is characterised in that:
In the step 2), zero-sequence current vector is calculated according to resulting three-phase current vectorIt is specific to calculate such as formula (12) institute
Show.
4. the transmission line of electricity one-end fault ranging method according to claim 1 based on mapping function, it is characterised in that: take
The initial value of x is 0, is stepped up x to total track length with 0.01km, then each x is all substituted into mapping functions and is calculated, and is searched
Rope goes out the x that mapping function is minimized, which is fault distance.
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| CN107064728B (en) * | 2016-09-26 | 2019-10-25 | 国网甘肃省电力公司电力科学研究院 | The single-ended holographic frequency domain Fault Locating Method of ultra-high-tension power transmission line |
| CN109828178A (en) * | 2017-11-23 | 2019-05-31 | 云南电网有限责任公司保山供电局 | A kind of localization method and system of transmission lines earth fault |
| CN111141995B (en) * | 2020-01-17 | 2022-10-04 | 中国电力科学研究院有限公司 | Line double-end steady-state distance measuring method and system based on amplitude comparison principle |
| CN111474477B (en) * | 2020-04-29 | 2022-09-27 | 西安工业大学 | Method for acquiring partial time domain parameters and frequency domain parameters in motor fault diagnosis |
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| CN103293441A (en) * | 2013-05-19 | 2013-09-11 | 国家电网公司 | Line single-phase earth fault single-terminal location method implemented by aid of distributed parameters |
| CN103869221A (en) * | 2014-02-21 | 2014-06-18 | 国家电网公司 | SV network sampling-based double-circuit line single-phase earth fault distance measurement method |
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| CN103293441A (en) * | 2013-05-19 | 2013-09-11 | 国家电网公司 | Line single-phase earth fault single-terminal location method implemented by aid of distributed parameters |
| CN103869221A (en) * | 2014-02-21 | 2014-06-18 | 国家电网公司 | SV network sampling-based double-circuit line single-phase earth fault distance measurement method |
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