CN109655710B - Correction method, device and system for phasor measurement at two ends of same-pole double-circuit transmission line - Google Patents

Correction method, device and system for phasor measurement at two ends of same-pole double-circuit transmission line Download PDF

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CN109655710B
CN109655710B CN201811463055.0A CN201811463055A CN109655710B CN 109655710 B CN109655710 B CN 109655710B CN 201811463055 A CN201811463055 A CN 201811463055A CN 109655710 B CN109655710 B CN 109655710B
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transmission line
double
phase
circuit transmission
sequence
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CN109655710A (en
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崔玉
程真何
刘贞瑶
彭楠
陈轩
梁睿
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Maintenance Branch of State Grid Jiangsu Electric Power Co Ltd
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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
    • G01R31/08—Locating faults in cables, transmission lines, or networks
    • G01R31/088—Aspects of digital computing
    • G—PHYSICS
    • G01—MEASURING; TESTING
    • G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R25/00—Arrangements for measuring phase angle between a voltage and a current or between voltages or currents
    • G01R25/005—Circuits for comparing several input signals and for indicating the result of this comparison, e.g. equal, different, greater, smaller, or for passing one of the input signals as output signal

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Abstract

The invention discloses a method, a device and a system for correcting phasor measurement at two ends of a same-pole double-circuit transmission line, which comprises the steps of obtaining steady-state voltage and current phasors at two ends of the normally-running double-circuit transmission line; calculating the homosequence positive sequence components of steady-state voltage and current at two ends of the double-circuit transmission line, and the homosequence positive sequence wave impedance and the propagation constant of the double-circuit transmission line by a six-sequence component method; calculating the same-sequence positive-sequence voltage phasors at different distances from the head end of the double-circuit transmission line by using the steady-state voltage and current same-sequence positive-sequence components at the two ends of the double-circuit transmission line, the same-sequence positive-sequence wave impedance and the propagation constant of the double-circuit transmission line; the method comprises the steps of setting a step length by taking the steady-state voltage and the current phase at the head end of the double-circuit transmission line as references, solving asynchronous phase differences between the steady-state voltage and the current actual measurement phase and the real phase at the tail end of the line when the line is at different positions away from the head end, and solving the average value of the asynchronous phase differences. The invention can realize the purpose of no need of synchronous measurement and has higher phase correction precision.

Description

Correction method, device and system for phasor measurement at two ends of same-pole double-circuit transmission line
Technical Field
The invention belongs to the field of phase measurement of power transmission lines, and particularly relates to a method, a device and a system for correcting phasor measurement at two ends of a same-pole double-circuit power transmission line.
Background
With the rapid growth of economy in China, the scale and the number of electric loads are continuously increased, and the requirements of users on a power grid are continuously improved. Compared with single-loop power transmission, multi-loop power transmission has high transmission power and high system power transmission reliability, and is widely applied to high-voltage power transmission systems at present.
Compared with a synchronous Phasor Measurement Unit (PMU), the fault recording equipment is widely applied to transmission lines of 220kV and above with the advantages of low cost, convenience in waveform recording and the like. However, for a transmission line, the measurement of the fault recording devices at two ends of the transmission line has a certain asynchronous error, so that the phase information of the fault recording data loses the utilization value. In addition, the asynchronous phase reduces the accuracy of transmission line fault ranging using the steady-state synchronous phasor. Therefore, the phase calibration problem of the phasor measurement of the fault recording devices at two ends of the line is solved, and the method has important significance for improving the fault recording data value and reducing the fault positioning error of the power transmission line.
At present, for the phasor at two ends of a line measured by fault recording equipment, no asynchronous phase correction method of a system exists. Therefore, the method for correcting the measurement vectors at the two ends of the same-pole double-circuit power transmission line, which has a simple research principle and strong practicability, not only has theoretical research value, but also has important practical significance for engineering practice.
Disclosure of Invention
In order to solve the problems, the invention provides a method, a device and a system for correcting the phasor measurement at two ends of a same-pole double-circuit transmission line, which do not need synchronous measurement and have higher phase correction precision.
The technical purpose is achieved, the technical effect is achieved, and the invention is realized through the following technical scheme:
in a first aspect, the present invention provides a method for correcting phasor measurement at two ends of a same-pole double-circuit transmission line, including:
(1) obtaining the steady state voltage and current phasor at two ends of the normally running double-circuit transmission line, and respectively recording the steady state voltage and the current phasor as Us、Is、UeAnd IeWherein U iss、IsRespectively, the steady-state voltage and current phasor, U, at the head end of the double-circuit transmission linee、IeRespectively are steady-state voltage phasor and current phasor at the tail end of the double-circuit power transmission line;
(2) based on steady-state voltage and current phasors at two ends of the double-circuit transmission line, calculating by using a six-sequence component methodPositive sequence component of head end voltage of output double-circuit transmission line
Figure GDA0002668855430000011
Current in-phase positive sequence component
Figure GDA0002668855430000012
Positive sequence component of end voltage
Figure GDA0002668855430000013
Current in-phase positive sequence component
Figure GDA0002668855430000014
And double-circuit transmission line same-sequence positive-sequence wave impedance
Figure GDA0002668855430000015
And propagation constant
Figure GDA0002668855430000016
(3) Head end voltage based same sequence positive sequence component
Figure GDA0002668855430000017
Current in-phase positive sequence component
Figure GDA0002668855430000018
Positive sequence component of end voltage
Figure GDA0002668855430000021
Current in-phase positive sequence component
Figure GDA0002668855430000022
And double-circuit transmission line same-sequence positive-sequence wave impedance
Figure GDA0002668855430000023
And propagation constant
Figure GDA0002668855430000024
Calculating the same-sequence positive-sequence voltage phasor at a set distance from the head end of the double-circuit transmission line;
(4) based on the same-sequence positive-sequence voltage phasor at the set distance from the head end of the double-circuit transmission line, taking the steady-state voltage and the current phase of the head end of the double-circuit transmission line as references, and calculating the asynchronous phase difference between the tail steady-state voltage and the current measured phase of the double-circuit transmission line and the real phase at the set distance from the head end;
(5) repeating the steps (3) and (4) from the head end of the double-circuit power transmission line until the tail end of the line, and constructing an asynchronous phase difference vector;
(6) and summing all asynchronous phase differences in the asynchronous phase difference vectors, averaging to obtain an asynchronous phase difference theta between the actual measured phase and the real phase of the voltage and current phasors at the head end and the tail end of the double-circuit transmission line, and performing phase correction based on the asynchronous phase difference theta.
Preferably, the U iss、Is、UeAnd IeThe calculation formula of (2) is as follows:
Figure GDA0002668855430000025
wherein,
Figure GDA0002668855430000026
respectively representing A, B, C phase voltage phasors of a first return line at the head end of the double-circuit transmission line;
Figure GDA0002668855430000027
respectively representing the phase quantities of the A, B, C phase voltages of the second return line at the head end of the double-circuit transmission line;
Figure GDA0002668855430000028
respectively representing phase current phasors of a first return line A, B, C at the head end of the double-circuit transmission line;
Figure GDA0002668855430000029
respectively representing the phase current phasors of the second return wire A, B, C at the head end of the double-circuit transmission line;
Figure GDA00026688554300000210
respectively representing the phase quantities of the first return line A, B, C phase voltage at the tail end of the double-circuit transmission line;
Figure GDA00026688554300000211
respectively represents the phase quantity of the second return line A, B, C phase voltage at the tail end of the double-circuit transmission line;
Figure GDA00026688554300000212
respectively represents the phase quantity of the first loop A, B, C phase current at the end of the double-loop power transmission line;
Figure GDA00026688554300000213
the phase magnitudes of the phase currents in the second return line A, B, C at the end of the double-circuit transmission line are shown, respectively.
Preferably, the positive sequence component of the head end voltage of the double-circuit transmission line is in the same sequence
Figure GDA00026688554300000214
Current in-phase positive sequence component
Figure GDA00026688554300000215
Positive sequence component of end voltage
Figure GDA00026688554300000216
Current in-phase positive sequence component
Figure GDA00026688554300000217
And double-circuit transmission line same-sequence positive-sequence wave impedance
Figure GDA00026688554300000218
And propagation constant
Figure GDA00026688554300000219
The calculation formulas of (A) and (B) are respectively as follows:
Figure GDA0002668855430000031
wherein M is a six-orderA component decoupling matrix; a is a twiddle factor; zLAnd YLRespectively a line unit length impedance matrix and an admittance matrix; [](5,5)The element representing the 5 th row and 5 th column of the matrix; [](5)Indicating the 5 th element of orientation
Preferably, the calculation formula of the same-sequence positive-sequence voltage phasor at the set distance from the head end of the double-circuit transmission line is as follows:
Figure GDA0002668855430000032
wherein, Δ x is the step length, L is the total length of the double-circuit transmission line, and L is N Δ x;
Figure GDA0002668855430000033
respectively is the same-sequence positive-sequence voltage phasor at a position k delta x away from the head end of the double-circuit transmission line, and k is more than or equal to 0 and less than or equal to N; p (k.DELTA.x) and Q (k.DELTA.x) are each independently
Figure GDA0002668855430000034
The real part and the imaginary part of (c); w (k.DELTA.x) and V (k.DELTA.x) are each
Figure GDA0002668855430000035
The real part and the imaginary part of (c),
Figure GDA0002668855430000036
respectively are positive sequence voltage phasor and positive sequence current phasor of the head end of the double-circuit transmission line;
Figure GDA0002668855430000037
respectively are positive sequence voltage phasor and current phasor of the same sequence at the tail end of the double-circuit transmission line;
Figure GDA0002668855430000038
the transmission line is respectively the same-sequence positive-sequence propagation constant and the wave impedance of the double-circuit transmission line.
Preferably, the calculation formula of the asynchronous phase difference between the steady-state voltage at the tail end of the double-circuit transmission line, the measured current phase and the real phase at the set distance from the head end is as follows:
Figure GDA0002668855430000039
wherein, (k Δ x) is an asynchronous phase difference between the real phase and the actual measured phase of the current of the steady-state voltage at the tail end of the double-circuit transmission line when the distance is k Δ x from the head end;r(k.DELTA.x) andi(k.DELTA.x) is each independently determined by
Figure GDA00026688554300000310
The real and imaginary parts of (a) are equal to the calculated asynchronous phase difference.
Preferably, the asynchronous phase difference vector is specifically:
Figure GDA0002668855430000041
wherein, Δ x is the step length, L is the total length of the dual-circuit transmission line, L is N Δ x, k is greater than or equal to 0 and less than or equal to N, and (k Δ x) is the asynchronous phase difference between the real phase and the current measured phase and the steady-state voltage at the tail end of the dual-circuit transmission line when the distance is k Δ x from the head end; function Fz() Is an integer part taking a real number.
Preferably, the calculation formula of the asynchronous phase difference θ is:
Figure GDA0002668855430000042
wherein, (k) is the kth element of the asynchronous phase difference vector; the symbol "|" is an absolute value.
In a second aspect, the present invention provides a phase correction device for asynchronously measuring phasors at two ends of a same-pole double-circuit transmission line, including:
an acquisition module for acquiring the steady-state voltage and current phasor at two ends of the normally running double-circuit transmission line, which are respectively recorded as Us、Is、UeAnd IeWherein U iss、IsSteady state voltage and electricity at head end of double-circuit transmission linePhasor, Ue、IeRespectively are steady-state voltage phasor and current phasor at the tail end of the double-circuit power transmission line;
a first calculating module, configured to calculate, based on steady-state voltage and current phasors at two ends of the dual-circuit power transmission line, a positive sequence component of the head-end voltage of the dual-circuit power transmission line in the same sequence by using a six-sequence component method
Figure GDA0002668855430000043
Current in-phase positive sequence component
Figure GDA0002668855430000044
Positive sequence component of end voltage
Figure GDA0002668855430000045
Current in-phase positive sequence component
Figure GDA0002668855430000046
And double-circuit transmission line same-sequence positive-sequence wave impedance
Figure GDA0002668855430000047
And propagation constant
Figure GDA0002668855430000048
A second calculation module for determining a head-end voltage-based in-sequence positive sequence component
Figure GDA0002668855430000049
Current in-phase positive sequence component
Figure GDA00026688554300000410
Positive sequence component of end voltage
Figure GDA00026688554300000411
Current in-phase positive sequence component
Figure GDA00026688554300000412
And double-circuit transmission line same-sequence positive-sequence wave impedance
Figure GDA00026688554300000413
And propagation constant
Figure GDA00026688554300000414
Calculating the same-sequence positive-sequence voltage phasor at a set distance from the head end of the double-circuit transmission line;
the third calculation module is used for calculating asynchronous phase differences between the tail steady-state voltage and the current actual measurement phase of the double-circuit transmission line and the real phase when the distance from the head end is set based on the same-sequence positive-sequence voltage phasor at the set distance from the head end of the double-circuit transmission line and by taking the steady-state voltage and the current phase of the head end of the double-circuit transmission line as references;
the building module is used for repeating the steps (3) and (4) from the head end of the double-circuit power transmission line to the tail end of the line to build an asynchronous phase difference vector;
and the phase correction module is used for summing the asynchronous phase difference vectors of the set distances on the line, calculating an average value, namely the asynchronous phase difference theta between the actual measurement phase of the voltage current phasor of the head end and the tail end of the double-circuit transmission line and the real phase, and performing phase correction based on the asynchronous phase difference theta.
In a third aspect, the present invention provides a phase correction system for asynchronously measuring phasors at two ends of a same-pole double-circuit transmission line, including:
a processor adapted to implement instructions; and a storage device adapted to store a plurality of instructions adapted to be loaded by the processor and to perform the steps of any of the first aspects.
Compared with the prior art, the invention has the beneficial effects that:
the invention discloses a method, a device and a system for correcting phasor measurement at two ends of a same-pole double-circuit transmission line, which are characterized in that firstly, steady-state voltage and current phasors at two ends of a normally-running double-circuit transmission line need to be acquired; secondly, calculating the homosequence positive sequence components of steady-state voltage and current at two ends of the double-circuit power transmission line, and the homosequence positive sequence wave impedance and the propagation constant of the double-circuit power transmission line by a six-sequence component method; thirdly, calculating the same-sequence positive-sequence voltage phasors at different distances from the head end of the double-circuit transmission line by using the steady-state voltage and current same-sequence positive-sequence components at the two ends of the double-circuit transmission line, the same-sequence positive-sequence wave impedance and the propagation constant of the double-circuit transmission line; and finally, setting step length by taking the steady-state voltage and current phases at the head end of the double-circuit transmission line as references, solving asynchronous phase differences between the actually measured phases of the steady-state voltage and current at the tail end of the line and the real phases when the line is away from the head end at different positions, and solving the average value of the asynchronous phase differences. The invention can realize the purpose of no need of synchronous measurement and has higher phase correction precision.
Drawings
FIG. 1 is a flow chart of a method in one embodiment of the invention;
fig. 2 is a schematic diagram of a simulation model of a double-circuit transmission line on the same pole.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is further described in detail with reference to the following embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
The following detailed description of the principles of the invention is provided in connection with the accompanying drawings.
Example 1
As shown in fig. 2, the present invention provides a correction method for measuring phasors at two ends of a single-pole double-circuit transmission line, and specifically a phase correction method for asynchronously measuring phasors at two ends of a single-pole double-circuit transmission line, based on a typical topology structure of a single-pole double-circuit transmission line, where an overall process is shown in fig. 1, and specifically includes the following steps:
step (1) measuring points are arranged at the head end and the tail end of the power transmission line, and steady-state voltage and current phasors at two ends of a normally running double-circuit power transmission line are obtained and are respectively recorded as Us、Is、UeAnd IeWherein U iss、IsRespectively representing steady-state voltage and current phasor at the head end of the double-circuit line; u shapee、IeRespectively representing steady-state voltage and current phasor at the tail end of the double-circuit line; u shapes、Is、UeAnd IeIs calculated byComprises the following steps:
Figure GDA0002668855430000061
wherein,
Figure GDA0002668855430000062
respectively representing A, B, C phase voltage phasors of a first return line at the head end of the double-circuit transmission line;
Figure GDA0002668855430000063
respectively representing the phase quantities of the A, B, C phase voltages of the second return line at the head end of the double-circuit transmission line;
Figure GDA0002668855430000064
respectively representing phase current phasors of a first return line A, B, C at the head end of the double-circuit transmission line;
Figure GDA0002668855430000065
respectively representing the phase current phasors of the second return wire A, B, C at the head end of the double-circuit transmission line;
Figure GDA0002668855430000066
respectively representing the phase quantities of the first return line A, B, C phase voltage at the tail end of the double-circuit transmission line;
Figure GDA0002668855430000067
respectively represents the phase quantity of the second return line A, B, C phase voltage at the tail end of the double-circuit transmission line;
Figure GDA0002668855430000068
respectively represents the phase quantity of the first loop A, B, C phase current at the end of the double-loop power transmission line;
Figure GDA0002668855430000069
respectively represents the phase quantity of the current of the second return line A, B, C at the tail end of the double-circuit transmission line;
step (2) based on the steady state voltage and current phasors at two ends of the double-circuit power transmission line, calculating the double-circuit power transmission line by using a six-sequence component methodHead end voltage same sequence positive sequence component
Figure GDA00026688554300000610
Current in-phase positive sequence component
Figure GDA00026688554300000611
Positive sequence component of end voltage
Figure GDA00026688554300000612
Current in-phase positive sequence component
Figure GDA00026688554300000613
And double-circuit transmission line same-sequence positive-sequence wave impedance
Figure GDA00026688554300000614
And propagation constant
Figure GDA00026688554300000615
The calculation formula is as follows:
Figure GDA00026688554300000616
wherein M is a six-sequence component decoupling matrix; a is a twiddle factor; zLAnd YLRespectively a line unit length impedance matrix and an admittance matrix; [](5,5)The element representing the 5 th row and 5 th column of the matrix; [](5)Indicating the orientation of the 5 th element.
Step (3) is based on head end voltage same sequence positive sequence component
Figure GDA00026688554300000617
Current in-phase positive sequence component
Figure GDA00026688554300000618
Positive sequence component of end voltage
Figure GDA0002668855430000071
Current in-phase positive sequence component
Figure GDA0002668855430000072
And double-circuit transmission line same-sequence positive-sequence wave impedance
Figure GDA0002668855430000073
And propagation constant
Figure GDA0002668855430000074
And (3) calculating the same-sequence positive-sequence voltage phasor at a set distance from the head end of the double-circuit transmission line, wherein the specific calculation formula is as follows:
Figure GDA0002668855430000075
wherein, Δ x is a step length, L is a total length of the double-circuit transmission line, and L is N Δ x;
Figure GDA0002668855430000076
respectively equal-sequence positive-sequence voltage phasors at a k delta x distance from the head end of the double-circuit transmission line; p (k.DELTA.x) and Q (k.DELTA.x) are each independently
Figure GDA0002668855430000077
The real part and the imaginary part of (c); w (k.DELTA.x) and V (k.DELTA.x) are each
Figure GDA0002668855430000078
The real part and the imaginary part of the voltage phase vector are expressed by the formula, namely the same-sequence positive-sequence voltage phasor at the position k delta x (k is more than or equal to 0 and less than or equal to N) away from the head end of the double-circuit transmission line is calculated;
and (4) calculating the asynchronous phase difference between the tail steady-state voltage and the current actual measurement phase of the double-circuit transmission line and the real phase when the distance (k delta x) from the head end is set based on the same-sequence positive-sequence voltage phasor at the set distance from the head end of the double-circuit transmission line and by taking the steady-state voltage and the current phase of the head end of the double-circuit transmission line as reference, wherein the specific calculation formula is as follows:
Figure GDA0002668855430000079
wherein, (k Δ x) is the asynchronous phase difference between the steady-state voltage at the tail end of the double-circuit transmission line, the current actual measurement phase and the real phase;r(k.DELTA.x) andi(k.DELTA.x) is each independently determined by
Figure GDA00026688554300000710
The real and imaginary parts of (a) are equal to the calculated asynchronous phase difference.
And (5) repeating the steps (3) and (4) from the head end (k is 0) of the double-circuit transmission line until the tail end (k is N) of the line, and constructing an asynchronous phase difference vector:
Figure GDA00026688554300000711
wherein the function Fz() Is the integer part of the real number; Δ x can take the value 1 km;
step (6) summing the asynchronous phase difference vectors of the set distances on the line, and calculating an average value, namely the asynchronous phase difference theta between the actual measurement phase and the real phase of the voltage and current phasors at the head end and the tail end of the double-circuit transmission line, and performing phase correction based on the asynchronous phase difference theta, wherein in a specific implementation manner of the embodiment, the method specifically comprises the following steps:
calculating an asynchronous phase difference theta between a measured phase and a real phase of voltage and current phasors at the head end and the tail end of the line measured by fault recording, wherein the calculation formula of the asynchronous phase difference theta is as follows:
Figure GDA00026688554300000712
wherein, (k) is the kth element of the vector; the symbol "|" is an absolute value.
Simulation verification
A500 kV same-pole double-circuit transmission line with the total length of 100km is built on PSCAD simulation software, and a schematic diagram of a simulation model is shown in FIG. 2. Wherein the equivalent power supply voltage of the two-end system is 75kV, the transformer type capacity of the two ends of the double-circuit transmission line is 600MVA, and the two ends of the double-circuit transmission line are changed intoThe ratio is respectively as follows: 75kV/500kV and 500kV/75 kV. And respectively measuring the voltage and the current of the double-circuit line at the head end and the tail end of the double-circuit transmission line. The double-circuit transmission line adopts a frequency-dependent characteristic model which accords with the reality. A four-split conductor is erected by adopting a double-loop tangent tower, and the type number of the four-split conductor is as follows: 4 XLGJ-300. The calculated homosequence positive sequence propagation constant and wave impedance of the double-circuit transmission line are about: 2.9656X 10-8+j1.0857×10-6And (228.2229-j5.7538) Ω. And respectively adding different phase translation amounts to the double-loop stable state voltage and the double-loop stable state current measured at the right end of the double-loop power transmission line by taking the phase of the double-loop stable state voltage and the phase of the double-loop stable state current measured at the left end of the double-loop power transmission line as reference so as to simulate the asynchronous sampling characteristic of the fault recording equipment. The method provided by the invention is adopted to estimate the added phase translation amount, and the obtained result is shown in table 1. As can be seen from the table: the method provided by the invention has better correction precision for different asynchronous measurement phases.
TABLE 1 estimation of phase shift for different unsynchronized measured phasors
True value (degree) 5 8 11 14 17
Estimate (degree) 4.8862 7.8422 10.8371 13.9136 17.1146
Estimating absolute error (degree) 0.1139 0.1578 0.1629 0.0864 0.1146
Example 2
The embodiment of the invention provides a phase correction device for asynchronously measuring phasors at two ends of a same-pole double-circuit transmission line, which comprises:
an acquisition module for acquiring the steady-state voltage and current phasor at two ends of the normally running double-circuit transmission line, which are respectively recorded as Us、Is、UeAnd IeWherein U iss、IsRespectively, the steady-state voltage and current phasor, U, at the head end of the double-circuit transmission linee、IeRespectively are steady-state voltage phasor and current phasor at the tail end of the double-circuit power transmission line;
a first calculating module, configured to calculate, based on steady-state voltage and current phasors at two ends of the dual-circuit power transmission line, a positive sequence component of the head-end voltage of the dual-circuit power transmission line in the same sequence by using a six-sequence component method
Figure GDA0002668855430000081
Current in-phase positive sequence component
Figure GDA0002668855430000082
Positive sequence component of end voltage
Figure GDA0002668855430000083
Current in-phase positive sequence component
Figure GDA0002668855430000084
And double-circuit transmission line same-sequence positive-sequence wave impedance
Figure GDA0002668855430000085
And propagation constant
Figure GDA0002668855430000086
A second calculation module for determining a head-end voltage-based in-sequence positive sequence component
Figure GDA0002668855430000087
Current in-phase positive sequence component
Figure GDA0002668855430000088
Positive sequence component of end voltage
Figure GDA0002668855430000089
Current in-phase positive sequence component
Figure GDA00026688554300000810
And double-circuit transmission line same-sequence positive-sequence wave impedance
Figure GDA00026688554300000811
And propagation constant
Figure GDA00026688554300000812
Calculating the same-sequence positive-sequence voltage phasor at a set distance from the head end of the double-circuit transmission line;
the third calculation module is used for calculating asynchronous phase differences between the tail steady-state voltage and the current actual measurement phase of the double-circuit transmission line and the real phase when the distance from the head end is set based on the same-sequence positive-sequence voltage phasor at the set distance from the head end of the double-circuit transmission line and by taking the steady-state voltage and the current phase of the head end of the double-circuit transmission line as references;
the building module is used for repeating the steps (3) and (4) from the head end of the double-circuit power transmission line to the tail end of the line to build an asynchronous phase difference vector;
and the phase correction module is used for summing the asynchronous phase difference vectors of the set distances on the line, calculating an average value, namely the asynchronous phase difference theta between the actual measurement phase of the voltage current phasor of the head end and the tail end of the double-circuit transmission line and the real phase, and performing phase correction based on the asynchronous phase difference theta.
Example 3
The embodiment of the invention provides a phase correction system for asynchronously measuring phasors at two ends of a same-pole double-circuit transmission line, which comprises:
a processor adapted to implement instructions; and a storage device adapted to store a plurality of instructions adapted to be loaded by the processor and to perform the steps of any of embodiment 1.
The foregoing shows and describes the general principles and broad features of the present invention and advantages thereof. It will be understood by those skilled in the art that the present invention is not limited to the embodiments described above, which are described in the specification and illustrated only to illustrate the principle of the present invention, but that various changes and modifications may be made therein without departing from the spirit and scope of the present invention, which fall within the scope of the invention as claimed. The scope of the invention is defined by the appended claims and equivalents thereof.

Claims (8)

1. A correction method for measuring phasors at two ends of a same-pole double-circuit transmission line is characterized by comprising the following steps:
(1) obtaining the steady state voltage and current phasor at two ends of the normally running double-circuit transmission line, and respectively recording the steady state voltage and the current phasor as Us、Is、UeAnd IeWherein U iss、IsRespectively, the steady-state voltage and current phasor, U, at the head end of the double-circuit transmission linee、IeRespectively are steady-state voltage phasor and current phasor at the tail end of the double-circuit power transmission line;
(2) based on the steady-state voltage and current phasors at two ends of the double-circuit transmission line, the positive sequence component of the head-end voltage of the double-circuit transmission line in the same sequence is calculated by using a six-sequence component method
Figure FDA0002668855420000011
Current in-phase positive sequence component
Figure FDA0002668855420000012
Positive sequence component of end voltage
Figure FDA0002668855420000013
Current in-phase positive sequence component
Figure FDA0002668855420000014
And double-circuit transmission line same-sequence positive-sequence wave impedance
Figure FDA0002668855420000015
And propagation constant
Figure FDA0002668855420000016
(3) Head end voltage based same sequence positive sequence component
Figure FDA0002668855420000017
Current in-phase positive sequence component
Figure FDA0002668855420000018
Positive sequence component of end voltage
Figure FDA0002668855420000019
Current in-phase positive sequence component
Figure FDA00026688554200000110
And double-circuit transmission line same-sequence positive-sequence wave impedance
Figure FDA00026688554200000111
And propagation constant
Figure FDA00026688554200000112
Calculating the same-sequence positive-sequence voltage phasor at a set distance from the head end of the double-circuit transmission line;
(4) based on the same-sequence positive-sequence voltage phasor at the set distance from the head end of the double-circuit transmission line, taking the steady-state voltage and the current phase of the head end of the double-circuit transmission line as references, and calculating the asynchronous phase difference between the tail steady-state voltage and the current measured phase of the double-circuit transmission line and the real phase at the set distance from the head end;
(5) repeating the steps (3) and (4) from the head end of the double-circuit power transmission line until the tail end of the line, and constructing an asynchronous phase difference vector;
(6) summing all asynchronous phase differences in the asynchronous phase difference vectors, averaging to obtain an asynchronous phase difference theta between the actual measured phase and the real phase of the voltage and current phasors at the head end and the tail end of the double-circuit transmission line, and performing phase correction based on the asynchronous phase difference theta;
the head end voltage of the double-circuit transmission line is in the same sequence and the positive sequence component
Figure FDA00026688554200000113
Current in-phase positive sequence component
Figure FDA00026688554200000114
Positive sequence component of end voltage
Figure FDA00026688554200000115
Current in-phase positive sequence component
Figure FDA00026688554200000116
And double-circuit transmission line same-sequence positive-sequence wave impedance
Figure FDA00026688554200000117
And propagation constant
Figure FDA00026688554200000118
The calculation formulas of (A) and (B) are respectively as follows:
Figure FDA0002668855420000021
wherein M is a six-sequence component decoupling matrix; a is a twiddle factor; zLAnd YLRespectively a line unit length impedance matrix and an admittance matrix; [](5,5)The element representing the 5 th row and 5 th column of the matrix; [](5)Indicating the orientation of the 5 th element.
2. The method for correcting phasor measurement at two ends of a double-circuit transmission line on the same pole according to claim 1, wherein the method comprises the following steps: the U iss、Is、UeAnd IeThe calculation formula of (2) is as follows:
Figure FDA0002668855420000022
wherein,
Figure FDA0002668855420000023
respectively representing A, B, C phase voltage phasors of a first return line at the head end of the double-circuit transmission line;
Figure FDA0002668855420000024
respectively representing the phase quantities of the A, B, C phase voltages of the second return line at the head end of the double-circuit transmission line;
Figure FDA0002668855420000025
respectively representing phase current phasors of a first return line A, B, C at the head end of the double-circuit transmission line;
Figure FDA0002668855420000026
respectively representing the phase current phasors of the second return wire A, B, C at the head end of the double-circuit transmission line;
Figure FDA0002668855420000027
respectively representing the phase quantities of the first return line A, B, C phase voltage at the tail end of the double-circuit transmission line;
Figure FDA0002668855420000028
are respectively provided withRepresenting the phase voltage phasor of the second return line A, B, C at the end of the double-circuit transmission line;
Figure FDA0002668855420000029
respectively represents the phase quantity of the first loop A, B, C phase current at the end of the double-loop power transmission line;
Figure FDA00026688554200000210
the phase magnitudes of the phase currents in the second return line A, B, C at the end of the double-circuit transmission line are shown, respectively.
3. The method for correcting phasor measurement at two ends of a double-circuit transmission line on the same pole according to claim 1, wherein the method comprises the following steps: the calculation formula of the same-sequence positive-sequence voltage phasor at the set distance from the head end of the double-circuit transmission line is as follows:
Figure FDA0002668855420000031
wherein, Δ x is the step length, L is the total length of the double-circuit transmission line, L is N Δ x, and N is not less than 0;
Figure FDA0002668855420000032
respectively is the same-sequence positive-sequence voltage phasor at a position k delta x away from the head end of the double-circuit transmission line, and k is more than or equal to 0 and less than or equal to N; p (k.DELTA.x) and Q (k.DELTA.x) are each independently
Figure FDA0002668855420000033
The real part and the imaginary part of (c); w (k.DELTA.x) and V (k.DELTA.x) are each
Figure FDA0002668855420000034
The real part and the imaginary part of (c),
Figure FDA0002668855420000035
respectively are positive sequence voltage phasor and positive sequence current phasor of the head end of the double-circuit transmission line;
Figure FDA0002668855420000036
respectively are positive sequence voltage phasor and current phasor of the same sequence at the tail end of the double-circuit transmission line;
Figure FDA0002668855420000037
the transmission line is respectively the same-sequence positive-sequence propagation constant and the wave impedance of the double-circuit transmission line.
4. The method for correcting phasor measurement at two ends of a double-circuit transmission line on the same pole according to claim 3, wherein: the calculation formula of the asynchronous phase difference between the steady-state voltage at the tail end of the double-circuit transmission line and the actual phase when the distance is set from the head end is as follows:
Figure FDA0002668855420000038
wherein, (k Δ x) is an asynchronous phase difference between the real phase and the actual measured phase of the current of the steady-state voltage at the tail end of the double-circuit transmission line when the distance is k Δ x from the head end;r(k.DELTA.x) andi(k.DELTA.x) is each independently determined by
Figure FDA0002668855420000039
The real and imaginary parts of (a) are equal to the calculated asynchronous phase difference.
5. The method for correcting phasor measurement at two ends of a double-circuit transmission line on the same pole according to claim 1 or 4, wherein: the asynchronous phase difference vector is specifically:
Figure FDA00026688554200000310
wherein, Δ x is the step length, L is the total length of the dual-circuit transmission line, L is N Δ x, k is greater than or equal to 0 and less than or equal to N, and (k Δ x) is the asynchronous phase difference between the real phase and the current measured phase and the steady-state voltage at the tail end of the dual-circuit transmission line when the distance is k Δ x from the head end; function Fz() To get the fruitThe integer part of the number.
6. The method for correcting phasor measurement at two ends of a double-circuit transmission line on the same pole according to claim 5, wherein: the calculation formula of the asynchronous phase difference theta is as follows:
Figure FDA00026688554200000311
wherein, (k) is the kth element of the asynchronous phase difference vector; the symbol "|" is an absolute value.
7. The utility model provides a with two transmission line both ends asynchronous phase correction device who measures phasor which of pole which characterized in that includes:
an acquisition module for acquiring the steady-state voltage and current phasor at two ends of the normally running double-circuit transmission line, which are respectively recorded as Us、Is、UeAnd IeWherein U iss、IsRespectively, the steady-state voltage and current phasor, U, at the head end of the double-circuit transmission linee、IeRespectively are steady-state voltage phasor and current phasor at the tail end of the double-circuit power transmission line;
a first calculating module, configured to calculate, based on steady-state voltage and current phasors at two ends of the dual-circuit power transmission line, a positive sequence component of the head-end voltage of the dual-circuit power transmission line in the same sequence by using a six-sequence component method
Figure FDA0002668855420000041
Current in-phase positive sequence component
Figure FDA0002668855420000042
Positive sequence component of end voltage
Figure FDA0002668855420000043
Current in-phase positive sequence component
Figure FDA0002668855420000044
And double-circuit transmission line same-sequence positive-sequence wave impedance
Figure FDA0002668855420000045
And propagation constant
Figure FDA0002668855420000046
A second calculation module for determining a head-end voltage-based in-sequence positive sequence component
Figure FDA0002668855420000047
Current in-phase positive sequence component
Figure FDA0002668855420000048
Positive sequence component of end voltage
Figure FDA0002668855420000049
Current in-phase positive sequence component
Figure FDA00026688554200000410
And double-circuit transmission line same-sequence positive-sequence wave impedance
Figure FDA00026688554200000411
And propagation constant
Figure FDA00026688554200000412
Calculating the same-sequence positive-sequence voltage phasor at a set distance from the head end of the double-circuit transmission line;
the third calculation module is used for calculating asynchronous phase differences between the tail steady-state voltage and the current actual measurement phase of the double-circuit transmission line and the real phase when the distance from the head end is set based on the same-sequence positive-sequence voltage phasor at the set distance from the head end of the double-circuit transmission line and by taking the steady-state voltage and the current phase of the head end of the double-circuit transmission line as references;
the building module is used for repeating the steps (3) and (4) from the head end of the double-circuit power transmission line to the tail end of the line to build an asynchronous phase difference vector;
the phase correction module is used for averaging the asynchronous phase difference vectors of the set distances on the line, namely the asynchronous phase difference theta between the actual measured phase and the real phase of the voltage current phasors at the head end and the tail end of the double-circuit transmission line, and performing phase correction based on the asynchronous phase difference theta;
the head end voltage of the double-circuit transmission line is in the same sequence and the positive sequence component
Figure FDA00026688554200000413
Current in-phase positive sequence component
Figure FDA00026688554200000414
Positive sequence component of end voltage
Figure FDA00026688554200000415
Current in-phase positive sequence component
Figure FDA00026688554200000416
And double-circuit transmission line same-sequence positive-sequence wave impedance
Figure FDA00026688554200000417
And propagation constant
Figure FDA00026688554200000418
The calculation formulas of (A) and (B) are respectively as follows:
Figure FDA0002668855420000051
wherein M is a six-sequence component decoupling matrix; a is a twiddle factor; zLAnd YLRespectively a line unit length impedance matrix and an admittance matrix; [](5,5)The element representing the 5 th row and 5 th column of the matrix; [](5)Indicating the orientation of the 5 th element.
8. The utility model provides a with two transmission line both ends asynchronous phase correction system who measures phasor of pole which characterized in that includes:
a processor adapted to implement instructions; and a storage device adapted to store a plurality of instructions adapted to be loaded by a processor and to perform the method of any of claims 1 to 6.
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