CN112487670A - Generation method of lightning overvoltage simulation model of large-span high tower - Google Patents

Generation method of lightning overvoltage simulation model of large-span high tower Download PDF

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CN112487670A
CN112487670A CN202011560615.1A CN202011560615A CN112487670A CN 112487670 A CN112487670 A CN 112487670A CN 202011560615 A CN202011560615 A CN 202011560615A CN 112487670 A CN112487670 A CN 112487670A
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tower
lightning
span high
cross arm
model
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师伟
任敬国
袁海燕
姚金霞
李�杰
张丕沛
汪鹏
王江伟
孙景文
张振军
张皓
孙承海
李秀卫
孙艳迪
王学磊
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Shandong Electric Power Co Ltd
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Electric Power Research Institute of State Grid Shandong Electric Power Co Ltd
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Abstract

The tower body below the tower cross arm with large span is very long and is a main body part of the tower, the structure and the size of the top and the bottom of the tower body are greatly different, a traditional tower lightning overvoltage simulation model mainly adopts a concentrated inductance model, a single-wave impedance model and a multi-wave impedance model for simulating the tower, wherein the concentrated inductance model cannot consider the delay effect of electromagnetic wave propagation and cannot effectively reflect the lightning stroke transient characteristics of the high tower, the single-wave/multi-wave impedance model usually simulates the tower body below the tower cross arm as a section of wave impedance, and the simplified processing may cause larger errors. The invention provides a method for generating a lightning overvoltage simulation model of a large-span high tower, which is to establish a simulation model capable of accurately reflecting the overvoltage characteristic of the large-span high tower under the condition of lightning stroke according to the structural characteristics of the large-span high tower, and provide a basis for lightning protection design or lightning protection reconstruction of a line section of the large-span high tower.

Description

Generation method of lightning overvoltage simulation model of large-span high tower
Technical Field
The invention relates to the technical field of overvoltage control of power transmission lines of power systems, in particular to a method for generating a lightning overvoltage simulation model of a large-span high tower.
Background
With the increasing expansion of the scale of the power grid, the sections of the large-span high-tower lines spanning the terrains such as rivers, lakes, valleys and the like are more and more, compared with the conventional path overhead power transmission line, the probability of lightning stroke of the large-span high-tower is high, the overvoltage amplitude caused by the lightning stroke tower top is also higher than that of a common tower, and the insulation threat to the line is larger, so that the research on the lightning resistance of the large-span high-tower line section is also a key link for lightning protection of the whole power transmission line.
The simulation of transient overvoltage when a large-span high tower is struck by lightning is an important means for analyzing the lightning protection performance of a line, the simulation of the traditional tower lightning overvoltage simulation model on the tower mainly adopts a concentrated inductance model, a single-wave impedance model and a multi-wave impedance model, wherein the concentrated inductance model cannot consider the delay effect of electromagnetic wave propagation and cannot effectively reflect the lightning transient characteristics of the high tower, a tower body below a tower cross arm is generally regarded as a section of wave impedance to be simulated by the single-wave/multi-wave impedance model, the calculation accuracy of the conventional high tower can meet the requirement, but the tower body below the large-span high tower cross arm is very long and is a main body part of the tower, the structure and the size of the top and the bottom of the section of the tower body are greatly different, and the simplified processing can cause larger errors.
When lightning waves are transmitted along a tower, the unit length inductance and the unit length capacitance along the tower body are changed, the wave impedance distributed along the tower is also changed, the tower body which greatly spans below the cross arm of the high tower is divided into a plurality of sections of wave impedance to perform equivalent simulation, the actual transient characteristics of the lightning tower can be reflected better, however, how to segment the lightning overvoltage simulation calculation can be considered, and no clear scheme exists at present.
Disclosure of Invention
In order to solve the problems, the invention provides a method for generating a lightning overvoltage simulation model of a large-span high tower, and the technical scheme provided by the invention is as follows:
a method for generating a lightning overvoltage simulation model of a large-span high tower comprises the following steps:
a) acquiring the geometric dimensions of each part of the large-span high tower structure from a typical design drawing of the large-span high tower;
b) segmenting the large-span high tower according to a geometric structure: the tower part above the cross arm at the lowest layer is segmented according to the distance between each conducting wire and each ground wire cross arm, one section is arranged between each layer of cross arms, and the tower body below the cross arm at the lowest layer is uniformly divided into N sections, wherein N is 1, 2 and 3;
c) calculating the wave impedance of the cross arm of the tower:
Figure BDA0002860481400000021
wherein k is each layer cross arm number, hAkIs the k-th part cross arm ground height, rAkThe equivalent radius of the kth part cross arm;
d) calculating the wave impedance of the tower main pole:
firstly, calculating the equivalent radius of the corresponding pole tower section:
Figure BDA0002860481400000022
wherein r isTk、rB、DTk、DBRespectively, the sizes of the corresponding parts of the tower are respectively the radius of the vertical support column of the tower main body, the radius of the support column at the bottom of the tower, the distance between the vertical support columns of the tower main body and the distance between the support columns at the bottom of the tower, and then the wave impedance of the tower main body is calculated:
Figure BDA0002860481400000023
wherein h isTkThe height of the corresponding pole tower section;
e) calculating the wave impedance of the tower support;
ZLk=9ZTk
f) the electromagnetic wave needs longer time to pass through a multi-conductor system containing a support, and the length of the support part of the model is 1.5 times that of the corresponding main part;
g) wave impedance Z of the pole tower cross armAkWave impedance of the trunk ZTkWave impedance Z of stentLkForming a lightning stroke simulation equivalent model of cross arms, trunks and support parts of the long-span high tower;
h) the crossing of the overvoltage wave on the insulator string and the volt-second characteristic curve is judged to be flashover, and the insulator string volt-second characteristic curve is obtained through the following formula:
Figure BDA0002860481400000024
wherein, UV-tThe method comprises the following steps that 1, the flashover voltage of an insulator string is obtained, l is the length of the insulator string, t is the flashover time counted from the occurrence of lightning stroke, and an insulation flashover model of a tower with a large span is formed by the formula;
i) calculating the grounding resistance value of the large-span high tower under the action of lightning impulse:
Figure BDA0002860481400000031
wherein R is0The grounding resistance value of a large-span high tower under the power frequency amplitude current is shown as rho, the soil resistivity is shown as E0The field intensity during soil ionization, I is the impact current amplitude of the grounding body of the large-span high tower under the action of lightning impulse, and the formula forms a lightning impulse grounding resistance model of the large-span high tower;
j) and connecting and combining the multi-wave impedance equivalent model, the insulation flashover model and the lightning impulse grounding resistance model of the cross arm, the trunk and the support part of the large-span high tower according to the structure form of the large-span high tower, so as to form the lightning stroke simulation model of the whole-foundation large-span high tower.
Preferably, the method further comprises the steps of:
k) the lightning-resistant level of counterattack of the lightning tower top when the number N of tower body sections below the cross arm of the lowest layer of the long-span high tower is different, namely the maximum lightning current amplitude I of the line insulation without flashoverCPerforming simulation calculation
l) finding an N value through simulation calculation, so that the difference value of the calculation results of N and N +1 is 1%, and taking the number of the tower sections below the cross arm at the lowest layer of the large-span high tower and taking the lightning stroke simulation model when N +1 is taken as the lightning stroke overvoltage simulation model of the large-span high tower for finally carrying out lightning protection analysis.
According to the invention, a simulation model capable of accurately reflecting the overvoltage characteristic of the large-span high tower under the condition of lightning stroke can be established according to the structural characteristics of the large-span high tower, so that a basis is provided for lightning protection design or lightning protection reconstruction of the line section of the large-span high tower.
Drawings
FIG. 1 is a schematic view of a typical structure of a large-span high tower;
FIG. 2 is a flow chart of a lightning overvoltage simulation model of a large-span high tower built in the invention.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the present invention more apparent, the present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments:
the method for generating the lightning stroke simulation model of the large-span high tower shown in the figures 1-2 comprises the following steps:
s1, acquiring the height h from the cross arm 1 to the ground of the ground wire of the large-span high tower from a typical design drawing of the large-span high towerA1The radius of the vertical pole of the tower main body corresponding to the cross arm 1 is rT1The distance between the vertical pillars of the tower main body corresponding to the cross arm 1 is DT12 distance height h of upper layer wire cross armA2The radius of the vertical pole of the tower main body corresponding to the cross arm 2 is rT2The distance between the vertical pillars of the tower main body corresponding to the cross arm 2 is DT2Middle layer wire cross arm 3 is high h from groundA3The radius of the vertical pole of the tower main body corresponding to the cross arm 3 is rT3The distance between the vertical pillars of the tower main body corresponding to the cross arm 3 is DT34-ground height h of lower layer wire cross armA4The radius of the vertical pole of the tower main body corresponding to the cross arm 4 is rT4The distance between the vertical pillars of the tower main body corresponding to the cross arm 4 is DT4Radius r of tower bottom pillarBDistance D between poles at bottom of towerB
S2, segmenting the large-span high tower according to a geometric structure: the tower part above the cross arm at the lowest layer is segmented according to the spacing between each conducting wire and each ground wire cross arm, and the tower body below the cross arm at the lowest layer is uniformly divided into N sections (N is 1, 2 and 3.);
s3, calculating the wave impedance Z of the cross arm of the tower through the following formula (1)Ak(k=1,2,3,4);
Figure BDA0002860481400000041
Wherein h isAkIs the k-th part cross arm ground height, rAkFor the equivalent radius of the kth cross arm, 1/4 of the width of the cross arm at the node of the tower main body can be taken;
s4, calculating the wave impedance of the tower trunk through the following formula (2);
Figure BDA0002860481400000042
hTkand rekRespectively calculating the height and the equivalent radius of the corresponding tower section by the following formula;
Figure BDA0002860481400000043
wherein r isTk、DTk、rB、DBRespectively corresponding part sizes in a typical tower design drawing;
s5, the wave impedance value under the support condition is usually about 10% smaller than the wave impedance under the support-free condition, the wave impedance of each part of the support is 9 times of that of the corresponding main part, and the wave impedance Z of the tower support is calculated through the following formulaLk
ZLk=9ZTk
S6, the electromagnetic wave needs longer time to pass through the multi-conductor system containing the support, and the length of the model support part can be 1.5 times that of the corresponding main body part;
s7, wave impedance Z of the pole tower cross armAkWave impedance of the trunk ZTkWave impedance Z of stentLkCross arm and main pole for forming large-span high towerLightning stroke simulation equivalent models of the stem and the bracket parts;
s8, judging that flashover occurs when an overvoltage wave on the insulator string intersects with the volt-second characteristic curve, and obtaining the volt-second characteristic curve of the insulator string through the following formula;
Figure BDA0002860481400000051
wherein, UV-tThe method comprises the following steps that 1, the flashover voltage of an insulator string is obtained, l is the length of the insulator string, t is the flashover time counted from the occurrence of lightning stroke, and an insulation flashover model of a tower with a large span is formed by the formula;
s9, obtaining the grounding resistance value of the large-span high tower under the action of lightning impulse through the following formula;
Figure BDA0002860481400000052
wherein R is0The grounding resistance value of a large-span high tower under the power frequency amplitude current is shown as rho, the soil resistivity is shown as E0The field intensity of soil ionization, I is the impact current amplitude of the grounding body which flows through a large span high tower under the action of lightning impact; r is as defined above0Is a typical value E recorded in the national standard GB/T50064-2014 of the people's republic of China, namely the overvoltage protection and insulation matching design specification of the alternating current electric device0For typical values recorded in the comparative study of impulse grounding resistance model on lightning resistance level of power transmission line of Liujie, Liuchun, Zhou national Wei, and the like, an electric porcelain arrester, in the 6 th stage of 2015, I is a value obtained by real-time calculation of existing large-span high-tower lightning stroke simulation software, and the lightning impulse grounding resistance model of the large-span high-tower is formed by the formula;
s10, connecting and combining the multi-wave impedance equivalent model, the insulation flashover model and the lightning impulse grounding resistance model of the cross arm, the trunk and the support part of the large-span high tower according to the structural form of the large-span high tower, so as to form a lightning stroke simulation model of the whole-foundation large-span high tower;
s11, taking different values for the number N of tower body sections below the cross arm of the lowest layer of the large-span high tower, the counterattack lightning-resistant level I of the lightning-stroke tower topC(maximum lightning current amplitude value without flashover in line insulation) and with the increase of the number N of tower body sections, the power transmission line counterattack lightning resistance level ICGradually decrease and tend to stabilize when
Figure BDA0002860481400000053
When the number of the tower body sections below the lowest layer cross arm is N +1, the model calculation result is considered to be effective;
s12, taking the number of tower body segments below the cross arm of the lowermost layer of the large-span high tower ICThe lightning stroke simulation model is a lightning stroke overvoltage simulation model of the long-span high tower for finally carrying out lightning protection analysis, and the model can participate in lightning stroke overvoltage simulation calculation of the power transmission line, so that the lightning protection performance of the long-span high tower is mastered.
The above embodiments are only specific examples of the present invention, which is not intended to limit the present invention in any way, and any person skilled in the art may modify or modify the technical details disclosed above and equally vary from the equivalent embodiments. However, any simple modification, equivalent change and modification of the above embodiments according to the technical essence of the present invention should fall within the scope of protection of the present invention without departing from the technical principle of the present invention.

Claims (2)

1. A method for generating a lightning overvoltage simulation model of a long-span high tower is characterized by comprising the following steps:
a) acquiring the geometric dimensions of each part of the large-span high tower structure from a typical design drawing of the large-span high tower;
b) segmenting the large-span high tower according to a geometric structure: the tower part above the cross arm at the lowest layer is segmented according to the distance between each conducting wire and each ground wire cross arm, one section is arranged between each layer of cross arms, and the tower body below the cross arm at the lowest layer is uniformly divided into N sections, wherein N is 1, 2, 3 …;
c) calculating the wave impedance of the cross arm of the tower:
Figure FDA0002860481390000011
wherein k is each layer cross arm number, hAkIs the k-th part cross arm ground height, rAkThe equivalent radius of the kth part cross arm;
d) calculating the wave impedance of the tower main pole:
firstly, calculating the equivalent radius of the corresponding pole tower section:
Figure FDA0002860481390000012
wherein r isTk、rB、DTk、DBRespectively, the sizes of the corresponding parts of the tower are respectively the radius of the vertical support column of the tower main body, the radius of the support column at the bottom of the tower, the distance between the vertical support columns of the tower main body and the distance between the support columns at the bottom of the tower, and then the wave impedance of the tower main body is calculated:
Figure FDA0002860481390000013
wherein h isTkThe height of the corresponding pole tower section;
e) calculating the wave impedance of the tower support;
ZLk=9ZTk
f) the electromagnetic wave needs longer time to pass through a multi-conductor system containing a support, and the length of the support part of the model is 1.5 times that of the corresponding main part;
g) wave impedance Z of the pole tower cross armAkWave impedance of the trunk ZTkWave impedance Z of stentLkForming a lightning stroke simulation equivalent model of cross arms, trunks and support parts of the long-span high tower;
h) the crossing of the overvoltage wave on the insulator string and the volt-second characteristic curve is judged to be flashover, and the insulator string volt-second characteristic curve is obtained through the following formula:
Figure FDA0002860481390000021
wherein, UV-tThe method comprises the following steps that 1, the flashover voltage of an insulator string is obtained, l is the length of the insulator string, t is the flashover time counted from the occurrence of lightning stroke, and an insulation flashover model of a tower with a large span is formed by the formula;
i) calculating the grounding resistance value of the large-span high tower under the action of lightning impulse:
Figure FDA0002860481390000022
wherein R is0The grounding resistance value of a large-span high tower under the power frequency amplitude current is shown as rho, the soil resistivity is shown as E0The field intensity during soil ionization, I is the impact current amplitude of the grounding body of the large-span high tower under the action of lightning impulse, and the formula forms a lightning impulse grounding resistance model of the large-span high tower;
j) and connecting and combining the multi-wave impedance equivalent model, the insulation flashover model and the lightning impulse grounding resistance model of the cross arm, the trunk and the support part of the large-span high tower according to the structure form of the large-span high tower, so as to form the lightning stroke simulation model of the whole-foundation large-span high tower.
2. The method of claim 1, further comprising the step of:
k) the lightning-resistant level of counterattack of the lightning tower top when the number N of tower body sections below the cross arm of the lowest layer of the long-span high tower is different, namely the maximum lightning current amplitude I of the line insulation without flashoverCCarrying out simulation calculation;
l) finding an N value through simulation calculation, so that the difference value of the calculation results of N and N +1 is 1%, and taking the number of the tower sections below the cross arm at the lowest layer of the large-span high tower and taking the lightning stroke simulation model when N +1 is taken as the lightning stroke overvoltage simulation model of the large-span high tower for finally carrying out lightning protection analysis.
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