CN102095449B - Method for alarming dancing of overhead transmission circuit - Google Patents

Method for alarming dancing of overhead transmission circuit Download PDF

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CN102095449B
CN102095449B CN2010105271675A CN201010527167A CN102095449B CN 102095449 B CN102095449 B CN 102095449B CN 2010105271675 A CN2010105271675 A CN 2010105271675A CN 201010527167 A CN201010527167 A CN 201010527167A CN 102095449 B CN102095449 B CN 102095449B
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galloping
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CN102095449A (en
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阳林
郝艳捧
李立浧
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South China University of Technology SCUT
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Abstract

The invention discloses a method for alarming the dancing of an overhead transmission circuit. The method comprises the following steps of: (S1) monitoring the dynamic load change condition of an iced lead and measuring the data of a vertical load and a horizontal load in at least one period; (S2) estimating a lead dancing amplitude A according to the change of the horizontal dynamic load; (S3) calculating a maximum dynamic load and a minimum electric gap according to the dynamic load measurement of lead dancing in the step (S1) and the lead dancing amplitude A estimated in the step (2); (S4) calculating the design load and calculating a design electric gap according to the design parameters of an overhang insulator strings, fittings, overhead transmission line leads and a linear tower; and (S5) comparing the maximum dynamic load calculated in the step (S3) with the design load calculated in the step (S4) or comparing the minimum electric gap calculated in the (S3) with the design electric gap calculated in the step (S4) for judging alarm and returning to the step (S1). The invention has the advantages of good line safety and high accuracy.

Description

Early warning method for galloping of overhead transmission line
Technical Field
The invention relates to the field of online monitoring of overhead transmission lines in the field of electric power, in particular to a galloping early warning method for overhead transmission lines.
Background
The waving of the overhead transmission line is self-excited vibration with low frequency (0.1-3 Hz) and large amplitude (5-300 times of the diameter of the wire) generated by the ice-coated wire, and the formation of the waving is mainly determined by three aspects: icing, wind speed and direction, line structure and parameters.
The hazards of wire waving can be divided into two categories: one is interphase flashover or relative overhead ground wire discharge accidents caused by large wire galloping amplitude; the other type is that the large dynamic load generated when the lead waves impacts and damages insulators, hardware fittings, the lead and the pole tower, so that the local damage and even the pole tower collapse and other serious power grid accidents are caused.
At present, the monitoring and early warning methods for the galloping of the power transmission line mainly comprise two methods: one method is to utilize a camera to shoot images during the waving to analyze the waving track and qualitatively judge the waving amplitude; and the other method is that a plurality of sensors are arranged along the line to acquire galloping parameters, a conductor galloping track is fitted, galloping amplitude, frequency and half wave number are calculated, and conductor galloping is early warned from the aspect of amplitude (namely height). Clearly, there is a lack in the prior art of a method of warning of conductor galloping from this aspect of regularly changing forces.
Although the existing tension sensor (such as a fiber grating strain sensor) is applied to monitoring the load increase conditions of ice coating and the like of the power transmission line, the acquisition mode is that the acquisition interval and the acquisition time are fixed no matter whether the power transmission line is waved or not, the acquisition amount is not directly related to the waving of the overhead power transmission line, the monitoring result cannot fully reflect the dynamic load change of conductor waving, the monitored dynamic force has no specific fault early warning mode, and no realizing mode for calculating the waving amplitude based on the change of the dynamic force is provided, so that the stress conditions of the power transmission line and a tower in the waving process cannot be accurately analyzed at present, and the waving parameters cannot be comprehensively analyzed to achieve the purpose of early warning of the waving accidents of the two types of power transmission lines.
Disclosure of Invention
The invention aims to overcome the defects, provides the early warning method for the galloping of the overhead transmission line, solves the problems that the existing early warning method only monitors amplitude values but does not monitor the dynamic load change of the transmission line, and fails to give early warning on the galloping of the wires through the comprehensive amplitude values and the dynamic load change monitoring results, so that the wires, insulators, hardware fittings, towers and the like are possibly damaged, and the like, can effectively avoid the occurrence of galloping accidents, and has the advantages of good safety and high accuracy.
The purpose of the invention is realized by the following technical scheme: an early warning method for galloping of an overhead transmission line comprises the following steps:
s1, monitoring the dynamic load change condition of the ice-coated conductor, and measuring vertical load and horizontal load data in at least one period;
s2, estimating the wire galloping amplitude A according to the horizontal dynamic load change;
s3, calculating the maximum dynamic load and the minimum electric gap according to the dynamic load measurement of the conductor galloping in the step S1 and the conductor galloping amplitude A in the step S2;
s4, calculating design load and electric clearance according to design parameters of the suspension insulator string, hardware fittings, overhead transmission line conductors and tangent towers;
and S5, comparing the maximum dynamic load in the step S3 with the designed load in the step S4, or comparing the minimum electric clearance in the step S3 with the designed electric clearance in the step S4, carrying out early warning judgment, and returning to the step S1.
To better implement the present invention, step S1 specifically refers to:
when the equivalent ice coating thickness h of the line is larger than 0, fixing a lead vibration sensor on the lead, and measuring the lead galloping frequency v through the lead vibration sensor, wherein the galloping period time T is 1/v;
fixing a lead tension sensor on the surface of a lead, and continuously measuring the horizontal load F of the line in at least one period T by the lead tension sensorh(t) change data;
installing an insulator string tension sensor at the upper end of an insulator string, and continuously measuring the vertical load F of the line in at least one period T by the insulator string tension sensorv(t) change data.
Preferably, the wire tension sensor and the insulator string tension sensor are resistance strain type sensors or fiber bragg grating strain sensors.
Preferably, the S2 specifically includes the following steps:
s2.1 calculating the static line length S of the ice-coated wires
The static displacement f of the ice-coated conductor before the waving is obtained bys(x):
fs(x)=xtanβ-γx(l-x)/(2F0cosβ)
Wherein gamma is the load of the ice-coated wire per unit length, beta is the height difference angle, l is the span, F0Static horizontal load of the ice-coated wire;
f was determined by the following equation0
<math> <mrow> <msub> <mi>F</mi> <mn>0</mn> </msub> <mo>=</mo> <msqrt> <mfrac> <mrow> <msup> <mi>&gamma;</mi> <mn>2</mn> </msup> <msup> <mi>l</mi> <mn>3</mn> </msup> <mi>cos</mi> <mi>&beta;</mi> </mrow> <mrow> <mn>24</mn> <mrow> <mo>(</mo> <msub> <mi>S</mi> <mi>s</mi> </msub> <mo>-</mo> <mi>l</mi> <mo>/</mo> <mi>cos</mi> <mi>&beta;</mi> <mo>)</mo> </mrow> </mrow> </mfrac> </msqrt> </mrow> </math>
In the formula, SsFor icing the static wire length, SsCalculated by the following formula:
<math> <mrow> <msub> <mi>S</mi> <mi>s</mi> </msub> <mo>=</mo> <msubsup> <mo>&Integral;</mo> <mn>0</mn> <mi>l</mi> </msubsup> <msqrt> <mn>1</mn> <mo>+</mo> <mo>[</mo> <mfrac> <mrow> <msub> <mi>df</mi> <mi>s</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> </mrow> <mi>dx</mi> </mfrac> <msup> <mo>]</mo> <mn>2</mn> </msup> </msqrt> <mi>dx</mi> </mrow> </math>
s2.2 calculating the wire galloping length Sg
Conductor galloping displacement fg(x, t) is determined by the following equation:
fg(x,t)=A sin(nπx/l)sinwt
in the formula, A is a wire galloping amplitude, n is a galloping half wave number, w is a galloping angular frequency, and w is 2 pi v;
the displacement f (x, t) of the dancing wire is
f(x,t)=fs(x)+fg(x,t)
Conductor galloping line length SgIs composed of
<math> <mrow> <msub> <mi>S</mi> <mi>g</mi> </msub> <mo>=</mo> <msubsup> <mo>&Integral;</mo> <mn>0</mn> <mi>l</mi> </msubsup> <msqrt> <mn>1</mn> <mo>+</mo> <msup> <mrow> <mo>[</mo> <mfrac> <mrow> <msub> <mrow> <mo>&PartialD;</mo> <mi>f</mi> </mrow> <mi>g</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mo>&PartialD;</mo> <mi>x</mi> </mrow> </mfrac> <mo>]</mo> </mrow> <mn>2</mn> </msup> </msqrt> <mi>dx</mi> </mrow> </math>
S23 finding the maximum waving amplitude Amax
During waving, the horizontal load F measured by the wire tension sensor fixed on the surface of the wireh(t) and static horizontal load of iced conductor F0Satisfy Hooke's law
Fh(t)-F0=ΔF=kΔS/Ss=k(Sg-Ss)/Ss
Wherein k is EArE is the overall modulus of elasticity of the wire, ArIs the cross-sectional area of the wire;
substituting the line length calculation formula into the formula to obtain:
when n is even number, Fh(t)-F0≈n2π2kA2sin2wt/(4l)
F when n is odd numberh(t)-F0≈n2π2kA2sin2wt/(4l)-2γklAsinwt/(nπF0cosβ)
=n2π2kA2sin2wt/(4l)-16dkAsinwt/(nπl)
In the formula, d is a circuit sag;
calculating the wire galloping amplitude A through the maximum value of the horizontal load of the wire
Fmax=max(Fh(t))
Figure BSA00000326827800033
In the formula, A is related to the value of half-wave number n, and the waving amplitude does not form a threat after n exceeds 5 generally, so n is calculated to be the waving amplitudes from 1 to 4 respectively; because the actually measured galloping amplitude value is not more than 12 meters, if the maximum galloping amplitude value is more than 12 meters, the maximum galloping amplitude value is 12 meters, and if the maximum galloping amplitude value is greater than 12 metersIf the amplitude is smaller than the maximum amplitude, directly taking the maximum value as the maximum galloping amplitude Amax
Preferably, the step S3 is to calculate the maximum dynamic load and the minimum electrical clearance, specifically:
the maximum dynamic load comprises a maximum vertical load FvmaxAnd maximum horizontal load FmaxWherein
Fvmax=max(Fv(t))
Fmax=max(Fh(t))
the minimum electrical gap comprises a relative phase minimum electrical gap and a relative ground line minimum electrical gap, wherein the relative phase minimum electrical gap Dp-pminAnd minimum electrical clearance to earth wire Dp-gminThe following equations were respectively obtained:
Dp-pmin=Dp-p-2Amax
Dp-gmin=Dp-g-Amax
in the formula, Dp-pIs a vertical spacing distance, Dp-gIs the vertical relative ground distance.
Preferably, the design parameters of the suspended insulator string and the hardware, the overhead transmission line conductor and the tangent tower in the step S4 include an electromechanical damage load F of the insulatorIAnd its safety factor SfIMechanical strength F of hardwareHAnd its safety factor SfHCalculated breaking force F of wireCAnd its safety factor SfCThe dead weight m of the lead, the designed ice coating thickness h of the leadmAnd tower vertical span lV
The design load calculation performed in the step S4 includes design vertical load calculation and design horizontal load calculation; wherein the design vertical load is calculated as
Fv0=min(FT0,FI0,FH0)
FT0=n1γmlV
FI0=FI/SfI
FH0=FH/SfH
In the formula, n1Number of split conductors, gammamFor designing the load of the conductor under ice thickness per unit length, gammamUsing m and hmCalculating to obtain;
the design horizontal load is calculated as
Fh0=FC/SfC
The designed electrical gap comprises a relative phase minimum designed electrical gap and a relative ground wire minimum designed electrical gap, wherein the relative phase minimum designed electrical gap is specifically a minimum air gap d of an interphase conductor without dischargep-pThe minimum designed electrical gap with respect to the ground wire is the minimum air gap d with respect to the ground wire without dischargep-g
Preferably, in the step S5, the maximum dynamic load in the step S3 is compared with the design load in the step S4, or the minimum electrical clearance in the step S3 is compared with the design electrical clearance in the step S4, so as to perform the early warning judgment, specifically:
a. when the maximum vertical load exceeds or equals to the design vertical load or the maximum horizontal load exceeds or equals to the design horizontal load, a galloping overload early warning signal is sent out;
b. and when the minimum electrical clearance of the relative phase is smaller than or equal to the minimum designed electrical clearance of the relative phase, or the minimum electrical clearance of the relative ground wire is smaller than or equal to the minimum designed electrical clearance of the relative ground wire, sending out a warning signal that the galloping amplitude exceeds the standard.
Preferably, the type of the wire is a steel-cored aluminum strand or a steel-cored aluminum alloy strand.
Preferably, the hardware is a wire clamp.
Compared with the prior art, the invention has the following beneficial effects:
firstly, a reasonable dynamic load collection mode is provided: the invention provides the method for acquiring dynamic load data according to the waving frequency, meets the requirement of low energy consumption of an online monitoring system, and solves the problem of high energy consumption in a non-basis acquisition and long-time acquisition mode.
Second, improve the accuracy, effectively avoid the accident, improve circuit safety: the invention provides an overhead transmission line galloping early warning method, provides an implementation mode for estimating a wire galloping amplitude value based on wire galloping load change, provides a specific mechanical and electrical wire galloping fault early warning implementation mode, and ensures the safety of a transmission line.
Drawings
FIG. 1 is a schematic view of the measurement of the dynamic load of the conductor galloping in example 1;
FIG. 2 is a schematic view of the measurement of the dynamic load of the conductor waving in example 2;
fig. 3 is a flowchart of the overhead transmission line galloping early warning method of embodiments 1 and 2.
Detailed Description
The present invention will be described in further detail with reference to examples and drawings, but the present invention is not limited to these examples.
Example 1
Referring to fig. 1, the embodiment 1 of the invention includes a lead vibration sensor 1, a lead tension sensor 2, an insulator string tension sensor 3, a suspension insulator string and hardware 4, an overhead transmission line lead 5, and a tangent tower 6. The hardware fitting is a wire clamp.
The early warning method for the galloping of the overhead transmission line comprises the following steps:
step S1, monitoring the dynamic load change condition of the iced conductor:
when the equivalent ice coating thickness h of the line is more than 0, the lead vibration sensor 1 is used for measuring the lead galloping frequency v, the galloping period time T is 1/v, and meanwhile, the lead tension sensor 2 and the insulator string tension sensor 3 are used for continuously measuring the horizontal load F in at least one period Th(t) and vertical load Fv(t) data.
The equivalent ice coating thickness h of the circuit can be calculated by the existing monitoring technology, the lead vibration sensor 1 is fixed on the lead, and the lead tension sensor 2 and the insulator string tension sensor 3 can be resistance strain type sensors or fiber bragg grating strain sensors; the lead tension sensor 2 is fixed on the surface of the lead and used for measuring the horizontal load F of the lineh(t) change data; the insulator string tension sensor 3 is arranged at the upper end of the insulator string and used for measuring the vertical load F of the linev(t) change data.
Step S2, estimating the wire galloping amplitude A according to the horizontal dynamic load change:
static displacement f of ice-coated conductor before wavings(x) Is composed of
fs(x)=xtanβ-γx(l-x)/(2F0cosβ)
Wherein gamma is the load of the ice-coated wire per unit length, beta is the height difference angle, l is the span, F0The static horizontal load, namely horizontal tension, of the ice-coated wire.
F0The following equation is used to determine:
<math> <mrow> <msub> <mi>F</mi> <mn>0</mn> </msub> <mo>=</mo> <msqrt> <mfrac> <mrow> <msup> <mi>&gamma;</mi> <mn>2</mn> </msup> <msup> <mi>l</mi> <mn>3</mn> </msup> <mi>cos</mi> <mi>&beta;</mi> </mrow> <mrow> <mn>24</mn> <mrow> <mo>(</mo> <msub> <mi>S</mi> <mi>s</mi> </msub> <mo>-</mo> <mi>l</mi> <mo>/</mo> <mi>cos</mi> <mi>&beta;</mi> <mo>)</mo> </mrow> </mrow> </mfrac> </msqrt> </mrow> </math>
in the formula, SsFor icing the static wire length, SsCalculated by the following formula:
<math> <mrow> <msub> <mi>S</mi> <mi>s</mi> </msub> <mo>=</mo> <msubsup> <mo>&Integral;</mo> <mn>0</mn> <mi>l</mi> </msubsup> <msqrt> <mn>1</mn> <mo>+</mo> <mo>[</mo> <mfrac> <mrow> <msub> <mi>df</mi> <mi>s</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> </mrow> <mi>dx</mi> </mfrac> <msup> <mo>]</mo> <mn>2</mn> </msup> </msqrt> <mi>dx</mi> </mrow> </math>
the stable conductor galloping shape is approximate to simple harmonic wave, and then the conductor galloping displacement fg(x, t) is
fg(x,t)=A sin(nπx/l)sinwt
In the formula, A is a wire galloping amplitude, n is a galloping half wave number, w is a galloping angular frequency, and w is 2 pi v;
the displacement f (x, t) of the dancing wire is
f(x,t)=fs(x)+fg(x,t)
Conductor galloping line length SgIs composed of
<math> <mrow> <msub> <mi>S</mi> <mi>g</mi> </msub> <mo>=</mo> <msubsup> <mo>&Integral;</mo> <mn>0</mn> <mi>l</mi> </msubsup> <msqrt> <mn>1</mn> <mo>+</mo> <msup> <mrow> <mo>[</mo> <mfrac> <mrow> <msub> <mrow> <mo>&PartialD;</mo> <mi>f</mi> </mrow> <mi>g</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mo>&PartialD;</mo> <mi>x</mi> </mrow> </mfrac> <mo>]</mo> </mrow> <mn>2</mn> </msup> </msqrt> <mi>dx</mi> </mrow> </math>
When waving, the horizontal load F measured by the wire tension sensor 2 fixed on the surface of the wireh(t) and static horizontal load of iced conductor F0Satisfy Hooke's law
Fh(t)-F0=ΔF=kΔS/Ss=k(Sg-Ss)/Ss
Wherein k is EArE is the overall modulus of elasticity of the wire, ArIs the cross-sectional area of the wire.
Substituting the line length calculation formula into the formula to obtain
When n is even number, Fh(t)-F0≈n2π2kA2sin2wt/(4l)
F when n is odd numberh(t)-F0≈n2π2kA2sin2wt/(4l)-2γklAsinwt/(nπF0cosβ)
=n2π2kA2sin2wt/(4l)-16dkAsinwt/(nπl)
Wherein d is a line sag.
Obviously, in the above two formulas, the maximum horizontal load of the wire is related to the galloping amplitude A and the half-wave number n, and the maximum horizontal load F of the wire can be passedmaxCalculating the wire waving amplitude A
Fmax=max(Fh(t))
Figure BSA00000326827800071
In the formula, A is related to the value of half-wave number n, and the waving amplitude does not form a threat after n exceeds 5, so n is calculated to be the waving amplitudes from 1 to 4 respectively. Because the actually measured galloping amplitude value does not exceed 12 meters, if the maximum galloping amplitude value is larger than 12 meters, the maximum galloping amplitude value is taken as 12 meters, and if the maximum galloping amplitude value is smaller than 12 meters, the maximum galloping amplitude value is directly taken as the maximum galloping amplitude value Amax
Step S3, performing early warning of power transmission line galloping, as shown in FIG. 3, performing design load calculation and design electric gap calculation according to design parameters of the suspension insulator string and the hardware fitting 4, the overhead power transmission line conductor 5 and the tangent tower 6; calculating the maximum dynamic load and the minimum electric gap according to load measurement and amplitude estimation data of conductor waving; and when the maximum dynamic load exceeds the design load or the minimum electric clearance is smaller than the design electric clearance, early warning information is sent out.
The step S3 includes the steps of:
s3.1, calculating the maximum dynamic load and the minimum electric clearance:
the maximum dynamic load in the step S3 includes the maximum vertical load FvmaxAnd maximum horizontal load FmaxWherein
Fvmax=max(Fv(t))
Fmax=max(Fh(t))
the minimum electrical gap comprises a relative phase minimum electrical gap and a relative ground line minimum electrical gap, wherein the relative phase minimum electrical gap Dp-pminAnd minimum electrical clearance to earth wire Dp-gminAre respectively as
Dp-pmin=Dp-p-2Amax
Dp-gmin=Dp-g-Amax
In the formula, Dp-pIs a vertical spacing distance, Dp-gIs the vertical relative ground distance.
S3.1, calculating a design load and a design electric gap:
the design parameters of the suspended insulator string and the hardware fittings 4, the overhead transmission line lead 5 and the tangent tower 6 in the step S3 specifically include the electromechanical damage load F of the insulatorIAnd its safety factor SfIMechanical strength F of hardwareHAnd its safety factor SfHCalculated breaking force F of wireCAnd its safety factor SfCThe dead weight m of the lead, the designed ice coating thickness h of the leadmAnd tower vertical span lV
The design load calculation comprises design vertical load calculation and design horizontal load calculation; wherein the design vertical load is calculated as
Fv0=min(FT0,FI0,FH0)
FT0=n1γmlV
FI0=FI/SfI
FH0=FH/SfH
In the formula, n1Number of split conductors, gammamFor designing the load of the conductor under ice thickness per unit length, gammamUsing m and hmCalculating to obtain;
the design horizontal load is calculated as
Fh0=FC/SfC
The designed electrical gap comprises a relative phase minimum designed electrical gap and a relative ground wire minimum designed electrical gap, wherein the relative phase minimum designed electrical gap is specifically a minimum air gap d of an interphase conductor without dischargep-pThe minimum designed electrical gap with respect to the ground wire is the minimum air gap d with respect to the ground wire without dischargep-g
S3.3, carrying out early warning judgment according to the maximum dynamic load or the minimum electric clearance:
when F is presentvmax≥Fv0Or Fmax≥Fh0Sending out a galloping overload early warning signal;
when D is presentp-pmin≤dp-pOr D isp-gmin≤dp-gAnd sending out a warning signal that the galloping amplitude exceeds the standard.
Example 2
The tension sensor can be installed on a tangent tower and a tension tower in the same gear, and referring to fig. 2, the tension sensor in the embodiment 2 of the invention comprises a lead vibration sensor 1, a lead tension sensor 2, an insulator string tension sensor 3, an insulator string and hardware fitting 4, an overhead transmission line 5, a tangent tower 6 and a tension tower 13.
The method for early warning the galloping of the overhead transmission line in the embodiment 2 comprises the following steps:
step S1, monitoring the dynamic load change condition of the iced conductor:
when the equivalent ice coating thickness h of the line is more than 0, the lead vibration sensor 1 is used for measuring the lead galloping frequency v, the galloping period time T is 1/v, and meanwhile, the lead tension sensor 2 and the insulator string tension sensor 3 are used for continuously measuring the horizontal load F in at least one period Th(t) and vertical load Fv(t) data.
The equivalent ice coating thickness h of the line can be calculated by the existing monitoring technology, the lead vibration sensor 1 is fixed on the lead, the lead tension sensor 2 and the insulator string tension sensor 3 can be resistance strain type sensors or fiber bragg grating strain sensors, and the lead tension sensor 2 is fixed on the surface of the lead and used for measuring the horizontal load F of the lineh(t) change data; the insulator string tension sensor 3 is arranged at the upper end of the insulator string and used for measuring the vertical load F of the linev(t) change data.
Step S2, estimating the wire galloping amplitude A according to the horizontal dynamic load change:
static displacement f of ice-coated conductor before wavings(x) Is composed of
fs(x)=xtanβ-γx(l-x)/(2F0cosβ)
Wherein gamma is the load of the ice-coated wire per unit length, beta is the height difference angle, l is the span, F0The static horizontal load, namely horizontal tension, of the ice-coated wire.
F0The following equation is used to determine:
<math> <mrow> <msub> <mi>F</mi> <mn>0</mn> </msub> <mo>=</mo> <msqrt> <mfrac> <mrow> <msup> <mi>&gamma;</mi> <mn>2</mn> </msup> <msup> <mi>l</mi> <mn>3</mn> </msup> <mi>cos</mi> <mi>&beta;</mi> </mrow> <mrow> <mn>24</mn> <mrow> <mo>(</mo> <msub> <mi>S</mi> <mi>s</mi> </msub> <mo>-</mo> <mi>l</mi> <mo>/</mo> <mi>cos</mi> <mi>&beta;</mi> <mo>)</mo> </mrow> </mrow> </mfrac> </msqrt> </mrow> </math>
in the formula, SsFor icing the static wire length, SsCalculated by the following formula:
<math> <mrow> <msub> <mi>S</mi> <mi>s</mi> </msub> <mo>=</mo> <msubsup> <mo>&Integral;</mo> <mn>0</mn> <mi>l</mi> </msubsup> <msqrt> <mn>1</mn> <mo>+</mo> <mo>[</mo> <mfrac> <mrow> <msub> <mi>df</mi> <mi>s</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> </mrow> <mi>dx</mi> </mfrac> <msup> <mo>]</mo> <mn>2</mn> </msup> </msqrt> <mi>dx</mi> </mrow> </math>
the stable conductor galloping shape is approximate to simple harmonic wave, and then the conductor galloping displacement fg(x, t) is
fg(x,t)=Asin(nπx/l)sinwt
In the formula, A is a wire galloping amplitude, n is a galloping half wave number, w is a galloping angular frequency, and w is 2 pi v;
the displacement f (x, t) of the dancing wire is
f(x,t)=fs(x)+fg(x,t)
Conductor galloping line length SgIs composed of
<math> <mrow> <msub> <mi>S</mi> <mi>g</mi> </msub> <mo>=</mo> <msubsup> <mo>&Integral;</mo> <mn>0</mn> <mi>l</mi> </msubsup> <msqrt> <mn>1</mn> <mo>+</mo> <msup> <mrow> <mo>[</mo> <mfrac> <mrow> <msub> <mrow> <mo>&PartialD;</mo> <mi>f</mi> </mrow> <mi>g</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mo>&PartialD;</mo> <mi>x</mi> </mrow> </mfrac> <mo>]</mo> </mrow> <mn>2</mn> </msup> </msqrt> <mi>dx</mi> </mrow> </math>
When waving, the horizontal load F measured by the wire tension sensor 2 fixed on the surface of the wireh(t) and static horizontal load of iced conductor F0Satisfy Hooke's law
Fh(t)-F0=ΔF=kΔS/Ss=k(Sg-Ss)/Ss
Wherein k is EArE is the overall modulus of elasticity of the wire, ArIs the cross-sectional area of the wire.
Substituting the line length calculation formula into the formula to obtain
When n is even number, Fh(t)-F0≈n2π2kA2sin2wt/(4l)
F when n is odd numberh(t)-F0≈n2π2kA2sin2wt/(4l)-2γklAsinwt/(nπF0cosβ)
=n2π2kA2sin2wt/(4l)-16dkAsinwt/(nπl)
Wherein d is a line sag.
Obviously, in the above two formulas, the maximum horizontal load of the conductor is related to the galloping amplitude A and the half-wave number n, and the galloping amplitude A of the conductor can be calculated according to the maximum horizontal load of the conductor
Fmax=max(Fh(t))
Figure BSA00000326827800101
In the formula, A is related to the value of half-wave number n, and the waving amplitude does not form a threat after n exceeds 5, so n is calculated to be the waving amplitudes from 1 to 4 respectively. Because the actually measured galloping amplitude value does not exceed 12 meters, if the maximum galloping amplitude value is larger than 12 meters, the maximum galloping amplitude value is taken as 12 meters, and if the maximum galloping amplitude value is smaller than 12 meters, the maximum galloping amplitude value is directly taken as the maximum galloping amplitude value Amax
Step S3, performing early warning of power transmission line galloping, as shown in FIG. 3, performing design load calculation and design electric gap calculation according to design parameters of the suspension insulator string and the hardware fitting 4, the overhead power transmission line conductor 5 and the tangent tower 6; calculating the maximum dynamic load and the minimum electric gap according to load measurement and amplitude estimation data of conductor waving; and when the maximum dynamic load exceeds the design load or the minimum electric clearance is smaller than the design electric clearance, early warning information is sent out.
The step S3 specifically includes:
s3.1, calculating the maximum dynamic load and the minimum electric clearance:
the maximum dynamic load comprises a maximum vertical load FvmaxAnd maximum horizontal load Fmax. Wherein,
Fvmax=max(Fv(t))
Fmax=max(Fh(t))
the minimum electrical gap comprises a relative phase and a relative ground minimum electrical gap, wherein the relative phase minimum electrical gap Dp-pminAnd minimum electrical clearance to earth wire Dp-gminAre respectively as
Dp-pmin=Dp-p-2Amax
Dp-gmin=Dp-g-Amax
In the formula, Dp-pIs a vertical spacing distance, Dp-gIs the vertical relative ground distance.
S3.2, calculating a design load and a design electric gap:
the design parameters of the suspended insulator string and the hardware fittings 4, the overhead transmission line lead 5 and the tangent tower 6 in the step S3 specifically include the electromechanical damage load F of the insulatorIAnd its safety factor SfIMechanical strength F of hardwareHAnd its safety factor SfHCalculated breaking force F of wireCAnd its safety factor SfCThe dead weight m of the lead, the designed ice coating thickness h of the leadmAnd tower vertical span lV
The design load calculation comprises design vertical load calculation and design horizontal load calculation; wherein the design vertical load is calculated as
Fv0=min(FT0,FI0,FH0)
FT0=n1γmlV
FI0=FI/SfI
FH0=FH/SfH
In the formula,n1number of split conductors, gammamFor designing the load of the conductor under ice thickness per unit length, gammamUsing m and hmCalculating to obtain;
designed to have a horizontal load of
Fh0=min(FC0,FI0,FH0)
FC0=FC/SfC
The designed electrical gap comprises a relative phase minimum designed electrical gap and a relative ground wire minimum designed electrical gap, wherein the relative phase minimum designed electrical gap is specifically a minimum air gap d of an interphase conductor without dischargep-pThe minimum designed electrical gap with respect to the ground wire is the minimum air gap d with respect to the ground wire without dischargep-g
S3.3, carrying out early warning judgment according to the maximum dynamic load or the minimum electric clearance:
in the step S3, when F is reachedvmax≥Fv0Or Fmax≥Fh0Sending out a galloping overload early warning signal;
when D is presentp-pmin≤dp-pOr D isp-gmin≤dp-gAnd sending out a warning signal that the galloping amplitude exceeds the standard.
It will be apparent to those skilled in the art that the various steps or modules of the present invention described above may be implemented using a general purpose computing device, they may be centralized in a single computing device or distributed across a network of multiple computing devices, so that they may be stored in a memory device and executed by a computing device, or they may be separately fabricated into various integrated circuit modules, or multiple steps or modules thereof may be fabricated into a single integrated circuit module. Thus, the present invention is not limited to any specific combination of hardware and software.
The above embodiments are preferred embodiments of the present invention, but the present invention is not limited to the above embodiments, and any other changes, modifications, substitutions, combinations, and simplifications which do not depart from the spirit and principle of the present invention should be construed as equivalents thereof, and all such changes, modifications, substitutions, combinations, and simplifications are intended to be included in the scope of the present invention.

Claims (6)

1. The early warning method for the galloping of the overhead transmission line is characterized by comprising the following steps of:
s1, monitoring the dynamic load change condition of the ice-coated conductor, and measuring the data of vertical load and horizontal load in at least one period, wherein the data specifically comprises the following steps:
when the equivalent ice coating thickness h of the line is larger than 0, fixing a lead vibration sensor on the lead, and measuring the lead galloping frequency v through the lead vibration sensor, wherein the galloping period time T is 1/v;
fixing the wire tension sensor on the surface of the wire byThe wire tension sensor continuously measures the horizontal load F of the line in at least one period Th(t) change data;
installing an insulator string tension sensor at the upper end of an insulator string, and continuously measuring the vertical load F of the line in at least one period T by the insulator string tension sensorv(t) change data;
s2, estimating the wire galloping amplitude A according to the horizontal dynamic load change, which comprises the following steps:
s2.1 calculating the static line length S of the ice-coated wires
The static displacement f of the ice-coated conductor before the waving is obtained bys(x):
fs(x)=xtanβ-γx(l-x)/(2F0cosβ)
Wherein gamma is the load of the ice-coated wire per unit length, beta is the height difference angle, l is the span, F0Static horizontal load of the ice-coated wire;
f was determined by the following equation0
<math> <mrow> <msub> <mi>F</mi> <mn>0</mn> </msub> <msqrt> <mfrac> <mrow> <msup> <mi>&gamma;</mi> <mn>2</mn> </msup> <msup> <mi>l</mi> <mn>3</mn> </msup> <mi>cos</mi> <mi>&beta;</mi> </mrow> <mrow> <mn>24</mn> <mrow> <mo>(</mo> <msub> <mi>S</mi> <mi>s</mi> </msub> <mo>-</mo> <mi>l</mi> <mo>/</mo> <mi>cos</mi> <mi>&beta;</mi> <mo>)</mo> </mrow> </mrow> </mfrac> </msqrt> </mrow> </math>
In the formula, SsFor icing the static wire length, SsCalculated by the following formula:
<math> <mrow> <msub> <mi>S</mi> <mi>s</mi> </msub> <mo>=</mo> <msubsup> <mo>&Integral;</mo> <mn>0</mn> <mi>l</mi> </msubsup> <msqrt> <mn>1</mn> <mo>+</mo> <msup> <mrow> <mo>[</mo> <mfrac> <mrow> <msub> <mi>df</mi> <mi>s</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>)</mo> </mrow> </mrow> <mi>dx</mi> </mfrac> <mo>]</mo> </mrow> <mn>2</mn> </msup> </msqrt> <mi>dx</mi> </mrow> </math>
s2.2 calculating the wire galloping length Sg
Conductor galloping displacement fg(x, t) is determined by the following equation:
fg(x,t)=Asin(nπx/l)sinwt
in the formula, A is a wire galloping amplitude, n is a galloping half wave number, w is a galloping angular frequency, and w is 2 pi v;
the displacement f (x, t) of the dancing wire is
f(x,t)=fs(x)+fg(x,t)
Conductor galloping line length SgIs composed of
<math> <mrow> <msub> <mi>S</mi> <mi>g</mi> </msub> <mo>=</mo> <msubsup> <mo>&Integral;</mo> <mn>0</mn> <mi>l</mi> </msubsup> <msqrt> <mn>1</mn> <mo>+</mo> <msup> <mrow> <mo>[</mo> <mfrac> <mrow> <msub> <mrow> <mo>&PartialD;</mo> <mi>f</mi> </mrow> <mi>g</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mo>&PartialD;</mo> <mi>x</mi> </mrow> </mfrac> <mo>]</mo> </mrow> <mn>2</mn> </msup> </msqrt> <mi>dx</mi> </mrow> </math>
S2.3 obtaining the maximum waving amplitude Amax
During waving, the horizontal load F measured by the wire tension sensor fixed on the surface of the wireh(t) and static horizontal load of iced conductor F0Satisfy Hooke's law
Fh(t)-F0=ΔF=kΔS/Ss=k(Sg-Ss)/Ss
Wherein k is EArE is the overall modulus of elasticity of the wire, ArIs the cross-sectional area of the wire;
substituting the line length calculation formula into the formula to obtain:
when n is even number, Fh(t)-F0≈n2π2kA2sin2wt/(4l)
F when n is odd numberh(t)-F0≈n2π2kA2sin2wt/(4l)-2γklAsinwt/(nπF0cosβ)
=n2π2kA2sin2wt/(4l)-16dkAsinwt/(nπl)
In the formula, d is a circuit sag;
calculating the wire galloping amplitude A through the maximum value of the horizontal load of the wire
Figure FSB00000842015200022
In the formula, calculating the galloping amplitude A of which n is 1 to 4 respectively, and if the maximum galloping amplitude is larger than 12 m, taking the maximum galloping amplitude AmaxIs 12 meters, and if the maximum galloping amplitude is less than 12 meters, the maximum value is directly taken as the maximum galloping amplitude Amax
S3 dynamic load measurement according to conductor galloping in step S1And the wire galloping amplitude A in the step S2, and calculating the maximum dynamic load and the minimum electric gap, wherein the maximum dynamic load comprises the maximum vertical load FvmaxAnd maximum horizontal load FmaxWherein
Fvmax=max(Fv(t))
Fmax=max(Fh(t))
the minimum electrical gap comprises a relative phase minimum electrical gap and a relative ground line minimum electrical gap, wherein the relative phase minimum electrical gap Dp-pminAnd minimum electrical clearance to earth wire Dp-gminThe following equations were respectively obtained:
Dp-pmin=Dp-p-2Amax
Dp-gmin=Dp-g-Amax
in the formula, Dp-pIs a vertical spacing distance, Dp-gIs the vertical relative ground distance;
s4, calculating design load and electric clearance according to design parameters of the suspension insulator string, hardware fittings, overhead transmission line conductors and tangent towers;
and S5, comparing the maximum dynamic load in the step S3 with the designed load in the step S4, or comparing the minimum electric clearance in the step S3 with the designed electric clearance in the step S4, carrying out early warning judgment, and returning to the step S1.
2. The overhead transmission line galloping early warning method of claim 1, wherein the lead tension sensor and the insulator string tension sensor are resistance strain type sensors or fiber grating strain sensors.
3. The overhead transmission line galloping early warning method of claim 1, wherein the design parameters of the suspended insulator string and hardware, the overhead transmission line conductor and the tangent tower in the step S4 comprise electromechanical damage load F of the insulatorIAnd its safety factor SfIMechanical strength F of hardwareHAnd its safety factor SfHCalculated breaking force F of wireCAnd its safety factor SfCThe dead weight m of the lead, the designed ice coating thickness h of the leadmAnd tower vertical span lV
The design load calculation performed in the step S4 includes design vertical load calculation and design horizontal load calculation; wherein the design vertical load is calculated as
Fv0=min(FT0,FI0,FH0)
FT0=nlγmlV
FI0=FI/SfI
FH0=FH/SfH
In the formula, nlNumber of split conductors, gammamFor designing the load of the conductor under ice thickness per unit length, gammamCalculating by using m and hm;
the design horizontal load is calculated as
Fh0=FC/SfC
The designed electrical gap comprises a relative phase minimum designed electrical gap and a relative ground wire minimum designed electrical gap, wherein the relative phase minimum designed electrical gap is specifically a minimum air gap d of an interphase conductor without dischargep-p’The minimum designed electrical gap with respect to the ground wire is the minimum air gap d of the ground wire without dischargep-g
4. The method according to claim 3, wherein in step S5, the maximum dynamic load in step S3 is compared with the design load in step S4, or the minimum electrical gap in step S3 is compared with the design electrical gap in step S4, and an early warning judgment is performed, specifically:
a. when the maximum vertical load exceeds or equals to the design vertical load or the maximum horizontal load exceeds or equals to the design horizontal load, a galloping overload early warning signal is sent out;
b. and when the minimum electrical clearance of the relative phase is smaller than or equal to the minimum designed electrical clearance of the relative phase, or the minimum electrical clearance of the relative ground wire is smaller than or equal to the minimum designed electrical clearance of the relative ground wire, sending out a warning signal that the galloping amplitude exceeds the standard.
5. The overhead transmission line galloping early warning method of claim 1, wherein the type of the wire is a steel-cored aluminum strand or a steel-cored aluminum alloy strand.
6. The early warning method for galloping of the overhead transmission line according to claim 1, wherein the hardware is a wire clamp.
CN2010105271675A 2010-10-28 2010-10-28 Method for alarming dancing of overhead transmission circuit Expired - Fee Related CN102095449B (en)

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