CN106680636B - A kind of double back does not hold power transmission line zero-sequence parameter accurate measurement method altogether - Google Patents
A kind of double back does not hold power transmission line zero-sequence parameter accurate measurement method altogether Download PDFInfo
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
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- G—PHYSICS
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- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R27/00—Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom
- G01R27/02—Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant
- G01R27/08—Measuring resistance by measuring both voltage and current
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R27/00—Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom
- G01R27/02—Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant
- G01R27/26—Measuring inductance or capacitance; Measuring quality factor, e.g. by using the resonance method; Measuring loss factor; Measuring dielectric constants ; Measuring impedance or related variables
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Abstract
The invention discloses a kind of double backs not to hold power transmission line zero-sequence parameter accurate measurement method altogether.Using power failure measurement method, transmission line of electricity first and last end three-phase is shorted, loop line road applies single phase poaer supply wherein, while measuring the residual voltage and zero-sequence current of transmission line of electricity head and end, guarantees the stringent synchronization of sampled data using the sync identification function of GPS.Distributed parameter model based on route obtains the port identity equation that double back does not hold transmission line of electricity altogether, then the measurement provided through the invention and calculation method obtain the zero sequence resistance of route to be measured, zero sequence inductance and zero sequence capacitor totally 9 Zero sequence parameters.The method of the present invention does not hold the zero sequence parameter measurement of transmission line of electricity particularly suitable for double back altogether, and measurement accuracy is high, can meet the needs of Practical Project measurement.
Description
Technical field
The present invention relates to a kind of Zero sequence parameter accurate measurement methods, are not total to end line zero sequence ginseng more particularly, to a kind of double back
Number accurate measurement method.
Background technique
Transmission line of electricity is the important component of electric system, is the carrier of electrical energy transportation.Transmission line parameter is trend
It calculates, the important parameter of short circuit calculation, while being also the important parameter of relay protection setting and fault location.Obtain high-precision wire
Road supplemental characteristic is of great significance to the safe and stable operation of power grid.
With the continuous development of electric system, a large amount of new line is built and is come into operation.Since new route needs
A large amount of land resource is occupied as transmission of electricity corridor.In the area that transmission of electricity corridor is narrow, to meet the needs of load, usually to original
There is route to carry out upgrading, therefore a kind of double back occurs and do not hold transmission line of electricity altogether.Double back is not total to end line and is different from generally
Double-circuit line, only there are two endpoint, i.e. first and last end is located among the same substation general double-circuit line.And double back is not total
End line, the first and last end on two loop line roads are located among four substations, and some intermediate route has coupling,
The measurement of its Zero sequence parameter is difficult.
The research of coupled transmission line zero sequence parameter measurement has been achieved for some achievements at present, these achievements are mainly used in
Double back is held altogether among power transmission line zero-sequence parameter measurement.If be applied to double back does not hold power transmission line zero-sequence parameter measurement altogether,
Meeting is unable to satisfy Practical Project measurement demand so that parameter measurement error is very big.
Summary of the invention
The present invention mainly solves use lumped parameter model of the existing technology and ignores distribution capacity and be not used to
Over long distances the parameter measurement of (200km or more) power transmission line zero-sequence the drawbacks of, also avoid previous measurement method and assume double loop
Road length is identical, so that the technical problem that measurement error is excessive；Provide a kind of double back not end power transmission line zero-sequence ginseng altogether
Number measurement；Solve the problems, such as that strange land signal measurement measures while property；Zero sequence resistance, zero sequence inductance, zero sequence electricity can be measured simultaneously
Hold totally 9 Zero sequence parameters.
Above-mentioned technical problem of the invention is mainly to be addressed by following technical proposals.
A kind of double back does not hold power transmission line zero-sequence parameter accurate measurement method altogether, it is characterised in that based on defining double back not altogether
Power transmission line route lines 1 and route 2 are held to form, the length of route 1 is set as l2, the length of route 2 is set as l1+l2+l3, zero sequence
The measurement model of parameter is a kind of four port networks；
Measuring process includes:
Step 1, the measurement double back that has a power failure does not hold transmission line of electricity altogether, and route Zero sequence parameter, needs route first and last in order to obtain
Three-phase is held to be shorted.Pressuring method of the invention is to apply single-phase zero sequence power supply, hanging to indicate that three-phase is shorted and opens a way.
The measurement mode of connection on two loop line roads is as follows:
Measurement method I: the pressurization of 1 head end of route, end ground connection；2 head end of route is hanging, end ground connection.
Measurement method II: 1 head end of route is hanging, end ground connection；The pressurization of 2 head end of route, end ground connection.
Measurement method III: the pressurization of 1 head end of route, end are hanging；2 head end of route ground connection, end are hanging.
Measurement method IV: 1 head end of route ground connection, end are hanging；The pressurization of 2 head end of route, end are hanging.
Step 2, using the sync identification function of GPS, the zero of tetra- endpoints of synchro measure A, B, C, D
Sequence voltage data and zero-sequence current data；A, B indicates that two endpoints of route 1, C, D indicate two endpoints of route 2；
Step 3, to the voltage measurement data and current measurement data obtained under each independent measurement method obtained by step 2,
The fundamental voltage phasor and fundamental current phasor of head end and end under each independent measurement method, then benefit are obtained using fourier algorithm
With these phasor datas by the Zero sequence parameter of transmission line of electricity solve come.
Route Zero sequence parameter to be measured is R1、L1、C1、R2、L2、C2、Rm、Lm、Cm, wherein R1、L1、C1It respectively represents first time
Zero sequence self-resistance, zero sequence self-inductance, the zero sequence self-capacitance of line unit length；R2、L2、C2Respectively represent the second loop line unit length
Zero sequence self-resistance, zero sequence self-inductance, zero sequence self-capacitance；Rm、Lm、CmIt is mutually electric to respectively represent unit length zero sequence mutual resistance, zero sequence
Sense, zero sequence mutual capacitance.
For convenience of the derivation of equation, impedance parameter is converted by resistance and inductance parameters；Admittance ginseng is converted by capacitance parameter
Number.Since the conductance of route is negligible, the real part of admittance parameter is zero.
In formula, Z1And Y1Respectively indicate zero sequence self-impedance and the zero sequence self-admittance on the first loop line road；Z2And Y2Respectively indicate
The zero sequence self-impedance on two loop line roads and zero sequence self-admittance；ZmAnd YmRespectively indicate the zero sequence mutual impedance and zero sequence between two loop line roads
Transadmittance.
The length of route 1 is set as l2, the length of route 2 is set as l1+l2+l3IfWithIt is route 1 respectively the zero of A point
Sequence voltage and zero-sequence current；WithIt is residual voltage and zero-sequence current of the route 1 in B point；WithIt is route 2 in C point
Residual voltage and zero-sequence current；WithIt is residual voltage and zero-sequence current of the route 2 in D point.The above phasor is fundamental wave
Phasor.
Zero sequence parameter solution procedure is as follows:
Step 3.1, according to measurement method, network characteristic matrix is calculated.
In formula, the subscript of each phase secondary element indicates measurement method in matrix.Such asIndicate the A point at measurement method I
Residual voltage；Indicate the zero-sequence current of the A point at measurement method I；Indicate the residual voltage of the B point at measurement method I；Indicate the zero-sequence current of the B point at measurement method I；Indicate the residual voltage of the C point at measurement method I；It indicates
The zero-sequence current of C point under measurement method I；Indicate the residual voltage of the D point at measurement method I；It indicates in measurement method I
The zero-sequence current of lower D point.Subscript II, III, IV then indicate the corresponding measured value at measurement method II, III, IV.
Step 3.2, intermediate variable γ and z are obtained according to network characteristic matrixc。
Z is eliminated using the eliminationc,
It obtains as follows about the equation with one unknown quantity of γ:
Solution can obtain γ, and γ substitution formula (5) can be obtained zc。
Step 3.3, intermediate variable α is calculated1,α2,α3,α4And β1,β2,β3,β4。
Step 3.4, intermediate variable r is calculated1、r2。
Step 3.5, intermediate variable K is calculated1、K2、K3、K4。
Step 3.6, by K1、K2、K3、K4And β1,β2,β3,β4Substitute into following formula, computing impedance matrix Z.
Step 3.7, according to Y=Z-1K acquires admittance matrix.
Step 3.8, finally, impedance and admittance are converted to resistance, inductance, capacitance parameter by formula (1) and formula (2).
Wherein, the π of ω=2 f, f are power system frequency 50Hz, l1、l2、l3It respectively indicates and is not total to three parts of end line
Length.
The present invention has the advantage that
1, the double back for being suitable for various length does not hold power transmission line zero-sequence parameter measurement altogether；
2, the method for the present invention measurement solves the problems, such as that strange land signal measurement measures while property using GPS technology；
3, resistance, inductance, capacitor totally 9 Zero sequence parameters can disposably be measured.
Detailed description of the invention
Attached drawing 1 is that double back does not hold transmission line of electricity four-port networks schematic diagram altogether.
Attached drawing 2 is AB-PQ distributed parameter model schematic diagram.
3 double back of attached drawing is not total to end line simulation model schematic diagram.
Attached drawing 4 is the method for the present invention and conventional method measurement error comparison diagram.
Specific embodiment
Below with reference to the embodiments and with reference to the accompanying drawing detailed description of the technical solution of the present invention.
Embodiment:
Below in conjunction with drawings and examples the present invention will be described in detail technical solution.
Double back not altogether hold power transmission line zero-sequence parameter precise measurement, embodiment the following steps are included:
Step 1, the measurement double back that has a power failure does not hold transmission line of electricity altogether, and route Zero sequence parameter, needs route first and last in order to obtain
Three-phase is held to be shorted.Pressuring method of the invention is to apply single-phase zero sequence power supply, hanging to indicate that three-phase is shorted and opens a way.
Connections mode is as follows:
Measurement method I: the pressurization of 1 head end of route, end ground connection；2 head end of route is hanging, end ground connection.
Measurement method II: 1 head end of route is hanging, end ground connection；The pressurization of 2 head end of route, end ground connection.
Measurement method III: the pressurization of 1 head end of route, end are hanging；2 head end of route ground connection, end are hanging.
Measurement method IV: 1 head end of route ground connection, end are hanging；The pressurization of 2 head end of route, end are hanging.
Step 2, it is measured respectively using the selected various independent modes of step 1, utilizes the same of GPS
The voltage data and current data at the first and last end on step timing function, 1 loop line road of synchro measure and 2 loop line roads；
Error is obtained using the timing function of GPS to acquire simultaneously less than the time reference of 1 microsecond in the case where GPS time synchronizes
The voltage of each transmission line of electricity head and end and the electric current of transmission line of electricity head and end, and protected measurement data in a manner of file
It deposits.
Step 3, to the voltage measurement data and current measurement data obtained under each independent measurement method obtained by step 2,
The fundamental voltage phasor and fundamental current phasor of head end and end under the independent measurement method, then benefit are obtained using fourier algorithm
With these phasor datas by double back be total to end line Zero sequence parameter solve come.
Embodiment independent is measured various by after being measured under the various independent measurement methods selected in step 1
The file that gained measurement data saves under mode is aggregated into a computer.Under each independent measurement method, first and last end is equal
Measurement data after the pressurization of line taking road in (such as between 0.2 second to 0.4 second) some time, is respectively obtained respectively using fourier algorithm
The fundamental voltage phasor and fundamental current phasor of transmission line of electricity head and end, then carry out Zero sequence parameter under a independent measurement method
It solves.Fourier algorithm is the prior art, and it will not go into details by the present invention.
Voltage unit in the present invention is volt, and current unit is ampere.Using measured under each independent measurement method
Route first and last end group wave voltage phasor and zero sequence electricity fundamental wave stream phasor can calculate and not be total to end line network characteristic matrix, then lead to
It crosses network characteristic matrix and finds out the Zero sequence parameter that double back is not total to end line.
The solution procedure that embodiment double back is not total to the Zero sequence parameter of end line is as follows:
Due to not being total to end line, only some is in the presence of coupling, so needing to consider respectively three parts of route.For side
Just the derivation of equation introduces intermediate variableWherein,WithIt is the residual voltage and zero-sequence current of P point；WithIt is the residual voltage and zero-sequence current of Q point.
There is no couplings for two sections of CP and QD of route, so transmission equation is similar.l1For the length of CP, l2For QD's
Length, unit are km.
In formula, γ and zcFor intermediate variable needed for derivation process.
And the part AB-PQ of route is parallel double-circuit line, distributed parameter model is as shown in Fig. 2.
In attached drawing 2,WithRespectively indicate the residual voltage of infinitesimal dx head end；With
Respectively indicate the zero-sequence current of infinitesimal dx head end；WithRespectively indicate the residual voltage of the end infinitesimal dx；WithRespectively
Indicate the zero-sequence current of the end infinitesimal dx.
It is as follows to obtain equation for transmission line:
Illustrate method for solving by taking (A3) as an example, the second-order equation for obtaining (A3) first is as follows:
Wherein:
Laplace is to (A5) to convert to obtain
Wherein: I indicates second order unit matrix
The characteristic root of matrix K is as follows:
Laplace inverse transformation is done to (A6), and sets x=l2, obtain
Similarly, (A4) is solved to obtain:
It is written as matrix form:
Intermediate variable expression formula is as follows:
(A1) and (A2) substitution (A12) is obtained
Formula (A13) is the network characteristic equation of four endpoint routes, wherein
It might as well set:
Then:
T11=α1
T13=β1
T14=α2zc sinh(γl3)+β2cosh(γl3)
T21=α3cosh(γl1)+δ3zc sinh(γl1)
T23=β3cosh(γl1)+α2zc sinh(γl1)
T24=cosh (γ l1)[α4zc sinh(γl3)+β4cosh(γl3)]+zcsinh(γl1)[δ4zc sinh(γ
l3)+α4cosh(γl3)]
T31=δ1
T33=α1
T34=δ3zcsinh(γl3)+α3cosh(γl3)
T41=α3sinh(γl1)/zc+δ3cosh(γl1)
Network characteristic matrix T is calculated according to previously described four kinds independent measurement methods.
It is obtained according to network characteristic matrix:
The elimination eliminates Zc
It obtains as follows about the equation of γ:
Formula (A17) is equation with one unknown quantity, and solution can obtain γ, and γ substitution formula (A16) can be obtained zcCalculate intermediate variable α1,α2,
α3,α4。
Calculate intermediate variable β1,β2,β3,β4。
Characteristic root r1、r2Can by solve formula (A20) obtain:
Matrix K can be obtained according to (A11), and calculation formula is as follows:
According to β1,β2,β3,β4Formula (A12) is substituted into matrix K, it can be in the hope of impedance matrix Z.
According to Y=Z-1K seeks admittance matrix Y.
Impedance parameter is finally converted into resistance, inductance parameters, admittance parameter and is converted to capacitance parameter.
Double back is not total to technical solution of the present invention when end line length changes from 100km to 500km and carries out simulated measurement.
End line model is not total to shown in 1 with reference to the accompanying drawings, simulation model is established in PSCAD software, as shown in Fig. 3.Transmission line of electricity
The theoretical value (true value) of unit length Zero sequence parameter is as shown in table 1.
1 Zero sequence parameter theoretical value of table
The measurement result that measurement method of the present invention obtains is as shown in table 2.
The measurement result that the measurement method of the present invention of table 2 obtains
The measurement result that conventional method obtains is as shown in table 3.
The measurement result that 3 conventional method of table obtains
It takes the maximum value of resistance, inductance and capacitance parameter measurement error to measure error comparison respectively, obtains attached drawing 4.
It can be seen that conventional method measurement accuracy from the above simulation result and line length be negatively correlated, and work as line
Road length is more than 100km, and the measurement accuracy of conventional method sharply declines.This is because conventional method has used lumped parameter mould
Type, the model can not magnetic field connection between simulaed inductance and capacitor, therefore be not suitable for the significant long-distance line of Distribution Effect
Road, from table 3 it is observed that the maximum error of measuring of conventional method rises to 55% from 2.2%.The method of the present invention has used point
Cloth parameter model, the model and actual track model are more close to while having fully considered the influence of Distribution Effect, measurement error
It remains within a reasonable range.From Table 2, it can be seen that measurement essence of the method for the present invention to any one parameter
For degree within 1%, measurement accuracy is very high.
Specific embodiment described herein is only an example for the spirit of the invention.The neck of technology belonging to the present invention
The technical staff in domain can make various modifications or additions to the described embodiments or replace by a similar method
In generation, however, it does not deviate from the spirit of the invention or beyond the scope of the appended claims.
Claims (1)
1. a kind of double back does not hold power transmission line zero-sequence parameter accurate measurement method altogether, it is characterised in that: definition double back is not held defeated altogether
Electric line includes route 1 and route 2, and the length of route 1 is set as l2, the length of route 2 is set as l1+l2+l3；Measuring process includes:
Step 1, the measurement double back that has a power failure does not hold transmission line of electricity altogether, and route Zero sequence parameter, needs route first and last end three in order to obtain
Mutually it is shorted；Pressuring method is to apply single-phase zero sequence power supply, hanging to indicate that three-phase is shorted and opens a way；
Step 2, the sync identification function of GPS, the zero sequence electricity of tetra- endpoints of synchro measure A, B, C, D are utilized
Press data and zero-sequence current data；A, B indicates that two endpoints of route 1, C, D indicate two endpoints of route 2；
Step 3, to the phase voltage measurement data and current phasor measurement data obtained under each independent measurement method obtained by step 2,
The fundamental voltage phasor and fundamental current phasor of head end and end under each independent measurement method, then benefit are obtained using fourier algorithm
With these phasor datas by the Zero sequence parameter of transmission line of electricity solve come；
In the step 1；The independent measurement mode of connection on two loop line roads is as follows:
Measurement method I: the pressurization of 1 head end of route, end ground connection；2 head end of route is hanging, end ground connection；
Measurement method II: 1 head end of route is hanging, end ground connection；The pressurization of 2 head end of route, end ground connection；
Measurement method III: the pressurization of 1 head end of route, end are hanging；2 head end of route ground connection, end are hanging；
Measurement method IV: 1 head end of route ground connection, end are hanging；The pressurization of 2 head end of route, end are hanging；
In the step 3, route Zero sequence parameter to be measured is R1、L1、C1、R2、L2、C2、Rm、Lm、Cm, wherein R1、L1、C1Generation respectively
The zero sequence self-resistance of table the first loop line unit length, zero sequence self-inductance, zero sequence self-capacitance；R2、L2、C2Respectively represent the second loop line
The zero sequence self-resistance of unit length, zero sequence self-inductance, zero sequence self-capacitance；Rm、Lm、CmUnit length zero sequence mutual resistance is respectively represented,
Zero sequence mutual inductance, zero sequence mutual capacitance；
Impedance parameter is converted by resistance and inductance parameters；Admittance parameter is converted by capacitance parameter, the conductance of route is ignored not
Meter, therefore the real part of admittance parameter is zero；
The length of route 1 is set as l2, the length of route 2 is set as l1+l2+l3, definitionWithIt is zero sequence of the route 1 in A point respectively
Voltage and zero-sequence current；WithIt is route 1 in B point residual voltage and zero-sequence current；WithIt is zero sequence of the route 2 in C point
Voltage and zero-sequence current；WithIt is residual voltage and zero-sequence current of the route 2 in D point；The above phasor, expression fundamental wave phase
Amount；
Zero sequence parameter solution procedure is as follows:
Step 3.1, according to measurement method, network characteristic matrix is calculated；
In formula, the subscript I, II, III of each phase secondary element of matrix, IV respectively indicate corresponding measurement method；
Wherein,Indicate the residual voltage of the A point at measurement method I；Indicate the zero-sequence current of the A point at measurement method I；Indicate the residual voltage of the B point at measurement method I；Indicate the zero-sequence current of the B point at measurement method I；Expression is being surveyed
The residual voltage of C point under amount mode I；Indicate the zero-sequence current of the C point at measurement method I；Indicate the D at measurement method I
The residual voltage of point；Indicate the zero-sequence current of the D point at measurement method I；Subscript II, III, IV are then indicated in measurement method
Corresponding measured value under II, III, IV；
Step 3.2, intermediate variable γ and z are obtained according to network characteristic matrixc；
γ calculates as follows:
(T21cosh(γl1)-T34cosh(γl3))(T43cosh(γl1)-T12cosh(γl3))
=(T41sinh(γl1)-T32sinh(γl3))(T23sinh(γl1)-T14sinh(γl3))
zcIt calculates as follows:
Step 3.3, intermediate variable α is calculated1,α2,α3,α4、β1,β2,β3,β4；
Step 3.4, intermediate variable r is calculated1、r2；
Step 3.5, intermediate variable K is calculated1、K2、K3、K4；
Step 3.6, by K1、K2、K3、K4And β1,β2,β3,β4Substitute into following formula, computing impedance matrix Z；
Step 3.7, according to Y=Z-1The admittance matrix Y that K is asked；
Step 3.8, impedance and admittance are finally converted into resistance, inductance, capacitance parameter；
Wherein, the π of ω=2 f, f are power system frequency 50Hz, l1、l2、l3Respectively indicate the length for not being total to three parts of end line.
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| CN109375048B (en) * | 2018-07-26 | 2021-04-23 | 广东电网有限责任公司 | Power transmission line parameter identification method and device based on fault recording data |
| CN112415273B (en) * | 2020-10-13 | 2021-09-03 | 武汉大学 | Method for accurately measuring zero sequence parameters of double-circuit non-full-line parallel transmission line |
| CN113447736B (en) * | 2021-04-14 | 2024-04-19 | 武汉大学 | Four-circuit non-full-line parallel transmission line zero sequence parameter accurate measurement method |
| CN113311241B (en) * | 2021-05-11 | 2024-04-19 | 武汉大学 | Three-circuit non-full-line parallel transmission line zero sequence distribution parameter accurate measurement method |
| CN113608030B (en) * | 2021-05-28 | 2022-06-17 | 武汉大学 | Non-decoupling measurement method for zero sequence distribution parameters of non-full-line parallel four-circuit line |
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