CN110414120B - Lightning protection performance calculation method for power transmission line without lightning conductor - Google Patents
Lightning protection performance calculation method for power transmission line without lightning conductor Download PDFInfo
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Abstract
The invention provides a method for calculating lightning protection performance of a power transmission line without a lightning conductor. And calculating lightning current and overvoltage distribution when the power transmission line is struck by lightning by an electromagnetic transient calculation method. Multiple lightning strokes in the nature are equivalent to a single pulse lightning stroke through an amplitude and waveform adjusting method, and then overvoltage at two ends of the lightning arrester body and an energy absorption value of the lightning arrester are calculated to judge whether the base rod tower has flashover tripping or not, and the like, so that the lightning stroke tripping rate of the whole line is calculated. The lightning protection performance calculation method can provide guidance and suggestion for research and development and configuration of a lightning protection device for canceling a lightning conductor line, so that lightning trip-out rate parameters in the lightning protection performance can be obtained more accurately and reliably.
Description
Technical Field
The invention belongs to the field of on-line monitoring of power systems, and particularly relates to a method for calculating lightning protection performance of a power transmission line without a lightning conductor.
Background
Through statistics, more than 50% of tripping accidents in the power system are caused by lightning strikes, along with the continuous development of economy, people put forward higher requirements on power utilization reliability, the lightning strike tripping rate of a power transmission line is reduced, and the establishment of a sound power grid lightning protection system plays an important role in improving the stability of the power system.
The calculation of the lightning protection performance of the power transmission line is the basis of line lightning protection transformation, and has very important guiding significance for the research and development and configuration of a lightning protection device. In recent years, lines with lightning protection measures such as removing a lightning conductor, additionally arranging a gap lightning arrester, a lightning protection anti-icing flashover composite insulator and the like are gradually increased, at present, a lightning protection performance calculation method specially aiming at a power transmission line with the lightning conductor is not provided, and lightning energy tolerance of the lightning arrester under the action of multiple lightning is not considered. Therefore, how to evaluate the lightning protection capability of the power transmission line without the lightning conductor still needs to be further researched.
In view of the above circumstances, it is urgently needed to design a calculation or design method for canceling the lightning protection performance of the lightning conductor transmission line, so as to provide guidance and suggestion for research and development and configuration of a lightning protection device for canceling the lightning conductor transmission line.
Disclosure of Invention
The invention provides a method for calculating the lightning protection performance of a power transmission line without a lightning conductor, which aims to provide guidance and suggestions for research and development and configuration of a lightning protection device without the lightning conductor, so that lightning trip-out rate parameters in the lightning protection performance can be obtained more accurately and reliably.
According to one aspect of the invention, the method for calculating the lightning protection performance of the power transmission line without the lightning conductor comprises the following steps of 1-4:
step 1: calculating to obtain the lightning activity characteristics of the whole line according to a regulation method and a statistical method, wherein the parameters of the lightning activity characteristics comprise line lightning falling density N (I) and lightning current amplitude probability distribution P (I), and calculating to obtain the line lightning falling frequency sigma of each 100km of power transmission lines according to the line lightning falling density N (I);
step 2: establishing an electromagnetic transient simulation model, calculating to obtain the distribution characteristics of lightning current and overvoltage of the power transmission line under different lightning stroke conditions, and obtaining the energy E absorbed by the lightning arrester by combining with the probability distribution P (I) of the lightning current amplitude related to the lightning current;
and step 3: calculating to obtain the energy absorption capacity E of the lightning arrester according to the insulator design parameters of the lightning arrester 0 Judging whether the energy E absorbed by the lightning arrester is more than or equal to the energy absorption capacity E of the lightning arrester under different lightning stroke conditions 0 So as to obtain lightning-resistant level E of the power transmission line L0 The lightning resistance level of the power transmission line E L0 Absorbing energy E to E for lightning arrester 0 The corresponding lightning current energy value;
and 4, step 4: according to the lightning energy E L Lightning current amplitude probability distribution P (I), line lightning falling frequency sigma and lightning resistance level E of power transmission line L0 Calculating the lightning trip-out rate q of the power transmission line with the length of 100km, wherein the calculation mode of q is as follows:
q=P(E L )×σ
wherein the lightning current energy E L Related to the probability distribution P (I), P (E) of the lightning current amplitude L ) Representing the energy E of lightning current L Exceeding lightning withstand level E L0 The probability of (d); and after the lightning trip-out rate q is obtained, calculating the lightning trip-out rate of the whole line according to the lightning trip-out rate q of every 100 km.
Further, the step 1 further includes:
the calculation formula of the lightning current amplitude probability distribution P (I) is as follows:
wherein, a represents the average value of the lightning current amplitude of the line, b represents the probability distribution index, the values of a and b are determined by the wave head time and the wave tail time of the lightning current, and the independent variable I represents the lightning current amplitude.
Further, the step 1 of calculating the line lightning strike number σ of each 100km of power transmission line according to the line lightning strike density N (I) specifically includes:
calculating the number of lightning falling times of the line through the lightning falling density of the power transmission corridor and the lightning guiding width Y of every 1km, wherein the formula of the lightning guiding width Y is as follows:
Y=4h+b
wherein Y represents the lightning strike width, h represents the average width of the wires, and b represents the outermost wire distance;
the formula of the number σ of lightning falling of the line is as follows:
σ=N(I)*100*Y
the number σ of lightning falls on the line is a floating point number with a decimal number.
Further, the calculation method of the energy E absorbed by the lightning arrester in the step 2 is as follows:
and (2) obtaining overvoltage at two ends of the arrester and lightning current waveform flowing through the arrester through simulation calculation of an electromagnetic transient simulation model, wherein the energy E absorbed by the arrester is determined by the following formula:
and when E exceeds the energy absorption capacity E0 of the lightning arrester, the tripping accident of the power transmission line is considered to occur, wherein u (T) and I (T) respectively represent lightning overvoltage and lightning current at two ends of the lightning arrester, T represents time, T represents lightning action time, E represents energy absorbed by the lightning arrester, and the lightning current I (T) at two ends of the lightning arrester is related to lightning current amplitude probability distribution P (I).
Further, the following equivalent calculation method of multiple mines and single mine is used in the calculation method of the energy E absorbed by the lightning arrester in the step 2: the amplitude and the wave head time of the equivalent single lightning wave are equal to the amplitude and the wave head time of the first lightning pulse current in the multiple lightning currents, and the total charge of the equivalent single lightning wave is equal to the total charge of the multiple lightning, so that the wave tail time of the equivalent single lightning is determined.
Further, the equivalent calculation method of the multiple mines and the single mine further comprises the following steps:
time t of wave tail R Sum of equivalent single lightning currentElectric charge Q eq The following equation can be approximated:
in the above formula, T represents lightning action time, I eq Is the amplitude of the equivalent singlet.
Further, step 4 further includes: said lightning energy E L The calculation formula is specifically as follows:
wherein P (I) represents a lightning over-current distribution function closely related to the lightning current amplitude probability distribution P (I), u L And (T) represents the overvoltage generated by lightning current on the power transmission line, and T represents the lightning action time.
In another aspect, the present invention also discloses a device for calculating the lightning protection performance of a power transmission line without a lightning conductor, comprising:
at least one processor; and
at least one memory communicatively coupled to the processor, wherein:
the memory stores program instructions executable by the processor, the processor invoking the program instructions to perform the lightning protection performance calculation method of any of the above.
In another aspect, the present invention also discloses a non-transitory computer-readable storage medium storing computer instructions for causing the computer to perform the lightning protection performance calculation method according to any one of the above.
The technical scheme of the invention is that the lightning falling times along the corridor of the power transmission line are calculated by a rule method and a statistical method according to the specific structural design of the power transmission line and the tower. And calculating lightning current and overvoltage distribution when the power transmission line is struck by lightning by an electromagnetic transient calculation method. Multiple lightning strokes in the nature are equivalent to single pulse lightning strokes through an amplitude and waveform adjusting method, overvoltage at two ends of the lightning arrester body and an energy absorption value of the lightning arrester are further calculated to judge whether flashover tripping occurs on the base pole tower or not, and the like, so that the lightning stroke tripping rate of the whole line is calculated.
Compared with the prior art, the invention has the beneficial effects that: the method is used for the setting calculation of the lightning protection performance parameters of the power transmission line, and the influence of multiple lightning on the lightning resistance level of the power transmission line is considered. Compared with the traditional lightning protection performance setting calculation method, the method can more accurately evaluate the lightning protection performance of the power transmission line under the condition of canceling the lightning conductor, and further guide the configuration and installation of the lightning protection equipment of the power transmission line.
Drawings
FIG. 1 is a flow chart of a method for calculating the lightning protection performance of a transmission line without a ground wire according to the present invention;
FIG. 2 is a graph of a typical lightning current amplitude probability distribution for a cancelled ground transmission line;
FIG. 3 is a schematic diagram of a lightning electromagnetic transient simulation model of the power transmission line according to the present invention;
FIG. 4 is a schematic diagram of an equivalent method of multiple lightning strikes and single lightning strikes in the present invention.
Detailed Description
The present invention will be described more fully hereinafter with reference to the accompanying drawings and examples, in which the technical problems and advantages of the present invention are solved, wherein the described examples are only intended to facilitate the understanding of the present invention, and are not to be construed as limiting in any way.
As shown in fig. 1, a flowchart of a method for calculating lightning protection performance of a power transmission line without a lightning conductor (ground line) may calculate a method for calculating lightning protection performance of an entire line according to a lightning trip-out rate of each segment of the line. The method for calculating the lightning protection performance of the power transmission line with the segment of canceling the ground wire on every 100km on the whole line by taking 100km as a unit comprises the following steps 1-4:
step 1: calculating the lightning activity characteristics of the whole line according to a rule method and a statistical method, wherein the parameters of the lightning activity characteristics comprise line lightning falling density N (I) and lightning current amplitude probability distribution P (I), and calculating the line lightning falling frequency sigma of each 100km of power transmission lines according to the line lightning falling density;
step 2: establishing an electromagnetic transient simulation model, calculating to obtain the distribution characteristics of lightning current and overvoltage of the power transmission line under different lightning stroke conditions, and obtaining the energy E absorbed by the lightning arrester by combining the lightning current amplitude probability distribution P (I) related to the lightning current;
and 3, step 3: calculating to obtain the energy absorption capacity E of the lightning arrester according to the insulator design parameters of the lightning arrester 0 Judging whether the energy E absorbed by the lightning arrester is more than or equal to the energy absorption capacity E of the lightning arrester under different lightning stroke conditions 0 So as to obtain lightning-resistant level E of the power transmission line L0 The lightning withstand level E of the power transmission line L0 Absorbing energy E to E for lightning arrester 0 The corresponding lightning current energy value;
and 4, step 4: according to the lightning energy E L Lightning current amplitude probability distribution P (I), line lightning falling frequency sigma and lightning resistance level E of power transmission line L0 Calculating the lightning trip-out rate q of the power transmission line with the length of 100km, wherein the calculation mode of q is as follows:
q=P(E L )×σ
wherein the lightning current energy E L Related to the probability distribution P (I), P (E) of the lightning current amplitude L ) Representing the energy E of lightning current L Beyond lightning endurance level E L0 And (4) after the lightning trip-out rate q is obtained, the lightning trip-out rate of the whole line can be calculated according to the lightning trip-out rate q of every 100 km.
It should be noted that, as can be seen from the formula of q in step 4, the lightning trip-out rate q is the number of trips per year (which may be a floating point number) on a transmission line with a length of 100km, i.e. the lightning current energy E in the lightning strike range of the transmission line L Exceeds the lightning resistance level E of the power transmission line L0 The number of times.
Further, the lightning energy E L Greater than E L0 Then, the trip accident of the transmission line can be known because of E L And the probability distribution P (of lightning current amplitude)I) Closely related, preferably, in order to enable the lightning energy E L Is more accurate, E L The calculation formula of (2) is as follows:
wherein P (I) represents a lightning over-current distribution function closely related to the lightning current amplitude probability distribution P (I), u L (t) represents an overvoltage generated on the power line by the lightning current.
As shown in fig. 2, the lightning current amplitude probability distribution curve is obtained by counting the lightning current amplitude and the number of lightning strikes in the power transmission line corridor area without the lightning conductor according to the specific shapes of the power transmission line and the tower by a rule method and a statistical method, and obtaining a formula of the lightning strike density along the line and the lightning current amplitude probability distribution P (I) along the line, which is shown as the following formula:
wherein a represents the average value of the lightning current amplitude of the line, b represents the probability distribution index, the values of a and b are determined by the wave head time and the wave tail time of the lightning current, and the independent variable I represents the lightning current amplitude, and specifically, for every 100km of the lightning conductor-cancelled transmission line, the lightning current waveform can be preferably a double-index waveform with the wave head time of 2.6 mu s and the wave tail time of 50 mu s.
In addition, the number of lightning falling times of the line can be calculated by the lightning falling density of the power transmission corridor and the lightning guiding width Y of each 1km, and the method for calculating the lightning guiding width Y comprises the following steps:
Y=4h+b
where Y denotes the lightning strike width, h denotes the wire mean width, and b denotes the outermost wire distance.
The number of times of lightning strike on the line σ is equal to the lightning strike density N (I) multiplied by the lightning strike width Y multiplied by the line length, the line length is taken to be 100km when calculating the lightning strike trip rate, so the line length is 100km, furthermore, as can be seen from step 1, the lightning strike density N (I) is determined by statistical data, and the formula of the number of times of lightning strike on the line σ is as follows:
σ=N(I)*100*Y
the number σ of lightning strikes of the line can be a floating point number with a decimal number, so that the number of lightning strikes per 100km is expressed theoretically and statistically.
Fig. 3 shows a power transmission line electromagnetic transient simulation calculation model, in which a power transmission line and a tower adopt a multi-wave impedance model. Compared with the traditional line modeling method, the grounding lightning conductor is cancelled. In fig. 3, the horizontal line is a power transmission line, the vertical line and a box represent a tower, and the insulator model is irrelevant to the lightning trip-out rate researched by the invention, and the insulator and tower model are too detailed, so detailed modeling explanation and indication are not carried out in the invention.
In step 2, the overvoltage at two ends of the arrester and the lightning current waveform flowing through the arrester can be obtained through simulation calculation, and the energy E absorbed by the arrester can be determined by the following formula: when E exceeds the energy absorption capacity E of the lightning arrester 0 And considering that the power transmission line has a trip accident:
u (T) and I (T) respectively represent lightning overvoltage and lightning current at two ends of the lightning arrester, T represents time, T represents lightning action time, and E represents energy absorbed by the lightning arrester, wherein the magnitude of the lightning current I (T) at two ends of the lightning arrester is mainly influenced by lightning current amplitude probability distribution P (I) (because the relationship between I (T) and P (I) in lightning stroke belongs to basic knowledge in the field of power disaster prevention and reduction, the situation is not redundant), so the energy absorbed by the lightning arrester E is closely related to the lightning current amplitude probability distribution P (I).
Because the actual lightning strike environment is more likely to frequently generate the situation of continuous multiple lightning strikes in a short time, in order to enable the calculation of the energy E absorbed by the lightning arrester, which is calculated through the electromagnetic transient simulation calculation model in the step 2, to be more accurate under different lightning strike conditions, the invention additionally designs an equivalent calculation method of multiple lightning strikes and a single lightning strike, and the equivalent calculation method is used for improving the calculation efficiency. In addition, whether the flashover tripping of the lightning conductor power transmission line is cancelled is judged, when overvoltage at two ends of the lightning arrester body is calculated, the lightning current amplitude plays a decisive factor, when the lightning current energy is calculated, the influence of multiple lightning mines needs to be considered, and for the convenience of calculation, the multiple lightning mines are also necessary to be equivalent to single lightning wave for calculation.
Specifically, fig. 4 shows an equivalent calculation method of multiple lightning and single lightning, and statistical data indicates that in reality, most lightning currents are multiple lightning waves, that is, multiple pulse lightning currents exist in one lightning stroke. For convenience of calculation, the multiple Lei Dengxiao can be calculated as a single lightning wave, and the equivalent principle is as follows: the single-pulse lightning stroke is a double-exponential waveform, the amplitude and the rise time of the single-pulse lightning stroke, the first pulse Lei Xiang of the multi-pulse Lei Jizhong and the like. The wave tail time of the equivalent monopulse lightning stroke is determined by the number and the energy of the multiple lightning. The equivalent principle is that the electric charge quantity of the equivalent single thunder is equal to the total electric charge quantity of the multiple thunder. For example, three lightning pulses exist in one lightning stroke process, and for simplicity and convenience of calculation, three pulses Lei Dengxiao in the multiple lightning stroke process are taken as a single pulse lightning. Total charge Q of equivalent single lightning current eq Equal to the sum of the three pulses Lei Dianhe Q1, Q2, Q3 in the multiple laser.
Therefore, the specific equivalent calculation method is as follows: the amplitude and wave head time of the equivalent single lightning wave are equal to the amplitude and wave head time of the first lightning pulse current in the multiple lightning currents. The total charge of the equivalent single-lightning electric wave is equal to the total charge of the multiple lightning, and the wave tail time of the equivalent single lightning is further determined.
Amplitude I of equivalent single thunder for simple calculation eq Amplitude I of the first pulse lightning in the multiple lightning stroke process 1 Are equal, i.e. are all equal to I m Wave head time t f 2.6 mus, wave tail time t R Determined by the total charge, t R And Q eq The relationship between can be approximately equivalent to the following equation:
in the above formula, T represents the lightning action time, and the maximum value is usually 0.2s;
multiple lightning strokes (not limited to the triple Lei Qingkuang of the Q1, the Q2 and the Q3) in the nature are equivalent to a single pulse lightning stroke through the equivalent adjustment method of the amplitude and the waveform, so that the energy E absorbed by the lightning arrester and absorbed by two ends of the lightning arrester can be calculated more quickly and conveniently, and the comparison result is that E is more than or equal to E 0 To judge whether the lightning trip-out accident happens theoretically so as to obtain the lightning-resistant level E of the power transmission line L0 。
It should be noted that, the present invention considers the complex wiring situation of the ultra-long transmission line, so the lightning trip-out rate q of the whole transmission line is obtained by calculating the lightning trip-out rate q every 100km in a sectional way, which is also to improve the accuracy of parameter calculation, and the lightning trip-out rate q every 100km obtained in the above step 4 can also be suitable for calculating the lightning trip-out rate of the transmission line with a longer or shorter lightning conductor cancelled (such as the case of 10-50 km) according to the actual situation.
The invention has the beneficial effects that: the method is used for the setting calculation of the lightning protection performance parameters of the power transmission line, and the influence of long distance and multiple lightning on the lightning protection level of the power transmission line is considered. Compared with the traditional lightning protection performance setting calculation method, the method can more accurately evaluate the lightning protection performance of the power transmission line under the condition of canceling the lightning conductor, and has more accurate parameters and small calculation amount, thereby being convenient for guiding the configuration and installation of the lightning protection equipment of the power transmission line.
Finally, the description is as follows: the above examples are only intended to illustrate the technical solution of the present invention, but not to limit it; although the present invention has been described in detail with reference to the foregoing embodiments, it will be understood by those of ordinary skill in the art that: the technical solutions described in the foregoing embodiments may still be modified, or some technical features may be equivalently replaced; and such modifications or substitutions do not depart from the spirit and scope of the corresponding technical solutions of the embodiments of the present invention.
Claims (7)
1. A method for calculating lightning protection performance of a power transmission line without a lightning conductor is characterized by comprising the following steps of 1-4:
step 1: calculating to obtain the lightning activity characteristics of the whole line according to a regulation method and a statistical method, wherein the parameters of the lightning activity characteristics comprise line lightning falling density N (I) and lightning current amplitude probability distribution P (I), and calculating to obtain the line lightning falling frequency sigma of each 100km of power transmission lines according to the line lightning falling density N (I);
step 2: establishing an electromagnetic transient simulation model, calculating to obtain distribution characteristics of lightning current and overvoltage of the power transmission line under different lightning stroke conditions, and obtaining energy E absorbed by the lightning arrester by combining with the probability distribution P (I) of the lightning current amplitude related to the lightning current;
the method for calculating the energy E absorbed by the lightning arrester adopts the following equivalent calculation method of multiple mines and single mine: the amplitude and the wave head time of the equivalent single lightning wave are equal to the amplitude and the wave head time of the first lightning pulse current in the multiple lightning currents, and the total charge of the equivalent single lightning wave is equal to the total charge of the multiple lightning, so that the wave tail time of the equivalent single lightning is determined; the equivalent calculation method of the multiple mines and the single mine further comprises the following steps:
time t of wave tail R Total charge Q of equivalent single lightning current eq The following equation can be approximated:
in the above formula, T represents lightning action time, I eq The amplitude of the equivalent singlet thunder is obtained;
and step 3: calculating to obtain the energy absorption capacity E of the arrester according to the insulator design parameters of the arrester 0 Judging whether the energy E absorbed by the lightning arrester is more than or equal to the energy absorption capacity E of the lightning arrester under different lightning stroke conditions 0 So as to obtain lightning-resistant level E of the power transmission line L0 The lightning resistance level of the power transmission line E L0 Absorbing energy E to E for lightning arrester 0 The corresponding lightning current energy value;
and 4, step 4: according to the lightning energy E L Lightning current amplitude probability distribution P (I), line lightning falling frequency sigma and lightning resistance level E of power transmission line L0 Calculating the lightning trip-out rate q of the power transmission line with the length of 100km, wherein the calculation mode of q is as follows:
q=P(E L )×σ
wherein the lightning current energy E L Related to the probability distribution P (I), P (E) of the lightning current amplitude L ) Representing the energy E of lightning current L Beyond lightning endurance level E L0 The probability of (d); and after the lightning trip-out rate q is obtained, calculating the lightning trip-out rate of the whole line according to the lightning trip-out rate q of every 100 km.
2. The lightning protection performance calculation method according to claim 1, wherein the step 1 further comprises:
the calculation formula of the lightning current amplitude probability distribution P (I) is as follows:
wherein a represents the average value of the lightning current amplitude of the line, b represents the probability distribution index, the values of a and b are determined by the wave head time and the wave tail time of the lightning current, and the independent variable I represents the lightning current amplitude.
3. The lightning protection performance calculation method according to claim 1, wherein the step 1 of calculating the number σ of lightning strikes of the line per 100km of the power transmission line according to the line lightning strike density N (I) specifically includes:
calculating the number of lightning falling times of the line through the lightning falling density of the power transmission corridor and the lightning guiding width Y of every 1km, wherein the formula of the lightning guiding width Y is as follows:
Y=4h+b
wherein Y represents the lightning strike width, h represents the average width of the wires, and b represents the outermost wire distance;
the formula of the number σ of lightning falling of the line is as follows:
σ=N(I)*100*Y
the number σ of lightning falls on the line is a floating point number with a decimal number.
4. The lightning protection performance calculation method according to claim 1, wherein the energy E absorbed by the lightning arrester in the step 2 is calculated by:
the overvoltage at two ends of the lightning arrester and the lightning current waveform flowing through the lightning arrester are obtained through the simulation calculation of the electromagnetic transient simulation model, and the energy E absorbed by the lightning arrester is determined by the following formula:
and when the E exceeds the energy absorption capacity E0 of the lightning arrester, the power transmission line is considered to have a trip accident, wherein u (T) and I (T) respectively represent lightning overvoltage and lightning current at two ends of the lightning arrester, T represents time, T represents lightning action time, E represents energy absorbed by the lightning arrester, and the lightning current I (T) at two ends of the lightning arrester is related to lightning current amplitude probability distribution P (I).
5. The lightning protection performance calculation method according to claim 1, wherein the step 4 further comprises: said lightning energy E L The calculation formula of (2) is specifically:
wherein P (I) represents a lightning over-current distribution function closely related to the lightning current amplitude probability distribution P (I), u L And (T) represents the overvoltage generated by lightning current on the power transmission line, and T represents the lightning action time.
6. The utility model provides a cancel lightning conductor transmission line lightning protection performance computing device which characterized in that includes:
at least one processor; and
at least one memory communicatively coupled to the processor, wherein:
the memory stores program instructions executable by the processor, the processor invoking the program instructions to perform the lightning protection performance calculation method of any one of claims 1 to 5.
7. A non-transitory computer-readable storage medium storing computer instructions for causing a computer to perform the lightning protection performance calculation method according to any one of claims 1 to 5.
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