CN103913221A - Method for measuring deicing jump damping coefficients of iced power transmission line - Google Patents
Method for measuring deicing jump damping coefficients of iced power transmission line Download PDFInfo
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Abstract
The invention discloses a method for measuring deicing jump damping coefficients of an iced power transmission line. The method comprises the following steps that a time-displacement curve under the deicing jump of the test power transmission line is measured; simulation power transmission lines identical with the test power transmission line in initial state and deicing condition are calculated according to a formula (please see the formula in the specification), and time-displacement curves under the different damping coefficients are calculated; in the time-displacement curves of the simulation power transmission lines under the different damping coefficients, the time-displacement curve of the certain simulation power transmission line close to the time-displacement curve of the test power transmission line is selected, and the damping coefficient corresponding to the time-displacement curve of the certain simulation power transmission line is used as the damping coefficient of the test power transmission line under the initial state. The method can obtain the accurate damping coefficients of the test power transmission line.
Description
[ technical field ] A method for producing a semiconductor device
The invention relates to design and test of a high-voltage power transmission line, in particular to a method for measuring an ice-shedding jump damping coefficient of an icing power transmission line.
[ background of the invention ]
The long-term operation of overhead transmission lines is disturbed by non-manpower factors such as wind, ice coating and the like in atmospheric environment. China is the country with the most serious ice coating, and the probability of the ice damage accident of the line is in the front of the world. One of three major hazards of ice coating to normal operation of a power transmission line is tension difference generated by uneven ice coating or ice shedding in different periods, inter-phase short circuit tripping and flashover can be caused electrically, large unbalanced tension is formed on an insulator string and a tower mechanically to damage an insulator or even cause the tower to collapse, and safe operation of a power system is directly threatened. In addition, with the unprecedented expansion of the construction scale of hydropower resources in the major development of western China, the problem of icing disasters of the transmission line is more prominent when ultra-long-distance and extra-high voltage transmission needs to penetrate high-cold, high-humidity, heavy-icing and high-altitude areas, and the problem of ice-coating jumping of the ice-coated transmission line is one of the contents needing to be deeply researched. With the vigorous development of the ultrahigh voltage power grid in China, the sectional area of a lead is increased, the number of splits is increased, and the problem of ice shedding and jumping of a power transmission line needs to be deeply researched.
The structure of the damping matrix or the value of the damping coefficient in the wire dynamics problem is complex, and is also the key point of the wire dynamics analysis. The values of the damping parameters of the wire are generally measured through tests, but the current test data is relatively lack, so that the damping parameters are generally selected according to empirical values when the dynamics problem of the wire is studied domestically and abroad, and most values have no test basis. The damping parameters are very important in the calculation of the power transmission line ice-shedding jump, the value of the damping parameters directly influences the calculation result of the ice-shedding jump process, and an accurate damping parameter is a premise of obtaining the accurate calculation result of the ice-shedding jump, so that an ice-shedding jump test of a true line is necessary to obtain the accurate damping parameter when the problem of the ice-shedding jump is researched.
[ summary of the invention ]
In order to overcome the defects of the prior art, the invention provides a method for measuring the deicing jump damping coefficient of an icing power transmission line, so as to measure the damping coefficient of the icing power transmission line under the deicing jump.
The method for measuring the deicing jump damping coefficient of the icing power transmission line comprises the following steps:
a step of measuring a time-displacement curve of the test transmission line, which is to measure the time-displacement curve of the test transmission line under the ice-shedding jump;
a step of calculating a time-displacement curve of the simulated transmission line, based onCalculating a simulated output having the same initial state as the test transmission line and the same de-icing conditionWires, time-displacement curves at different damping coefficients, wherein,
wherein the total mass and the external force applied to the simulation power transmission line are discretely distributed on each load point, M is a mass matrix of the load point of the simulation power transmission line, P is an external force matrix applied to the simulation power transmission line, C is a damping coefficient,to simulate the acceleration matrix of the load point of the transmission line,the method comprises the following steps of simulating a speed matrix of a load point of a transmission line, wherein E is the elastic modulus of the transmission line, A is the sectional area of the transmission line, and T is the static tension of the transmission line; the same deicing conditions refer to: measuring the icing of a test transmission line which is separated from a certain mass at a certain position, correspondingly simulating the separation of the transmission line from a simulated mass of the same mass at a load point of the same positionThe amount of the compound (A) is,
x (t-delta t) represents the displacement of the i +1 th loading point at the t-delta t moment, X (t) represents the displacement of the i +1 th loading point at the t moment, and X (t + delta t) represents the displacement of the i +1 th loading point at the t + delta t moment;
x (i +1) -x (i), y (i +1) -y (i), and Δ z (z +1) -z (i), wherein x (i +1), y (i +1), and z (i +1) are three coordinates of the i +1 th load point at the time t + Δ t, respectively, x (i), y (i), and z (i) are three coordinates of the i +1 th load point adjacent to the i +1 th load point at the time t + Δ t, respectively;
and determining the damping coefficient of the test power transmission line, namely selecting a certain time-displacement curve of the simulation power transmission line which is closer to the time-displacement curve of the test power transmission line from the time-displacement curves of the simulation power transmission lines under different damping coefficients, and taking the damping coefficient corresponding to the time-displacement curve of the certain simulation power transmission line as the damping coefficient of the test power transmission line in the initial state.
In one embodiment of the present invention,
in the damping coefficient determination step of the test transmission line: and selecting a certain simulated power transmission line time-displacement curve of which the maximum displacement and the maximum displacement of the time-displacement curve of the test power transmission line are within a set displacement difference from the time-displacement curves of the simulated power transmission lines under different damping coefficients.
In one embodiment of the present invention,
in the damping coefficient determination step of the test transmission line: and selecting a certain simulation power transmission line time-displacement curve of which the attenuation rate of the curve peak and the corresponding curve peak attenuation rate of the time-displacement curve of the test power transmission line are within a set rate difference from the time-displacement curves of the simulation power transmission lines under different damping coefficients.
In one embodiment of the present invention,
Δt≤2/ωnwherein ω isnIs the highest order natural vibration frequency of the power transmission line system.
In one embodiment of the present invention,
the mass of each load point of the simulation power transmission line is m:
q＝ρπb(D+d)
m＝qL/N
wherein q represents the mass of the ice coating of the transmission line per unit length, ρ represents the density of the ice, b represents the thickness of the ice coating of the transmission line, D represents the diameter of the transmission line, L represents the length of the transmission line, and N represents the number of load points.
By adopting the technical scheme, the accurate damping coefficient of the tested power transmission line can be obtained.
[ description of the drawings ]
FIG. 1 is a schematic illustration of an actual power transmission line having ice coating thereon according to one embodiment of the present invention;
FIG. 2 is a schematic illustration of an embodiment of the present invention showing ice coating mass concentrated at multiple load points for a simulated transmission line;
FIG. 3 is a schematic illustration of the power transmission line of FIG. 1 of the present invention for uniform de-icing;
FIG. 4 is a schematic illustration of the non-uniform deicing of the transmission line of FIG. 1 in accordance with the present invention;
FIG. 5 is a schematic illustration of uniform de-icing of the simulated power transmission line of FIG. 2;
FIG. 6 is a schematic illustration of non-uniform deicing of the simulated power transmission line of FIG. 2;
FIG. 7 is a time-displacement graph at 750kg for an embodiment of ice shedding;
FIG. 8 is a time-displacement graph at 1000kg for an embodiment of ice shedding;
FIG. 9 is a time-displacement graph at 1250kg for an example ice-shedding;
FIG. 10 is a graph of deicing mass versus displacement for an embodiment;
FIG. 11 is a schematic diagram of the peak height decay corresponding to FIG. 7;
FIG. 12 is a schematic diagram of peak height decay corresponding to FIG. 8;
fig. 13 is a schematic diagram of the peak height decay corresponding to fig. 9.
[ detailed description ] embodiments
The preferred embodiments of the invention are described in further detail below.
As shown in fig. 1, an actual transmission line 1 has ice coating 2, the span of the transmission line is L, the diameter of the transmission line is D, the density of the ice is ρ, the thickness of the ice coating of the transmission line is b, the mass of the ice coating of the transmission line per unit length is q, and in order to perform simulation calculation on a time-displacement curve of the transmission line in the case where the ice coating drops and jumps, as shown in fig. 2, it is assumed that the mass of the ice coating on the transmission line is intensively distributed on N load points 3, that is, each load point carries a weight 4 with a corresponding mass. In one embodiment, the weight 4 carried on each load point 3 is of the same mass, m:
as shown in fig. 3, the ice coating 2 on the actual power transmission line 1 is uniformly removed from the power transmission line 1, and as shown in fig. 4, the ice coating 2 on the power transmission line 1 is partially and non-uniformly removed from the power transmission line 1. In the calculation of the simulated transmission line, the weight 4 is uniformly removed from the transmission line 1, as shown in fig. 5, whereas the weight 4, which can simulate a transmission line, is non-uniformly removed from the transmission line 1, as shown in fig. 6.
Testing the time-displacement curve of the transmission line:
as shown in fig. 3 and 4, when the ice coating 2 on a certain portion of the power transmission line 1 falls off, a time-displacement curve of the power transmission line under the ice-shedding jump can be obtained by actually measuring a value of a change with time of the jump displacement of the power transmission line. The jump displacement of the test transmission line actually de-icing can be recorded by a camera. Alternatively, the same or very similar time-displacement curve of the power line under the ice shedding jump can be obtained by performing the load point as shown in fig. 2 on the same power line 1 to simulate ice coating, then separating the weight 4 at the corresponding position from the power line 1, and recording the jump displacement of the test power line by using a camera.
The method comprises the following steps of (1) calculating a time-displacement curve of the simulated power transmission line:
the transmission line coated with ice actually is simulated into the transmission line with mass distributed on discrete load points as shown in figure 2, the transmission line is divided into a plurality of transmission line unit sections, the mass of the transmission line is concentrated on the load points of the transmission line, the load points are connected through elastic elements without mass, namely the elastic elements are connected in tension, the rigidity of bending and torsion is not considered, each load point can translate (3 degrees of freedom) in space (X, Y and Z), and the external force applied to the transmission line is uniformly distributed on each load point. The simulated transmission line has the same initial state (including the same transmission line length, icing mass, initial static tension, initial displacement, etc.) and the same deicing condition (the same mass of icing on the same portion is detached from the transmission line) as the test transmission line.
According to the premise, the power transmission line kinetic equation listing the displacement and tension states of the power transmission line at discrete time is as follows:
wherein, <math>
<mrow>
<msub>
<mi>F</mi>
<mi>c</mi>
</msub>
<mo>=</mo>
<mi>C</mi>
<mover>
<mi>X</mi>
<mo>·</mo>
</mover>
<mo>,</mo>
<mi>T</mi>
<mo>=</mo>
<mi>KX</mi>
<mo>;</mo>
</mrow>
</math>
m is a quality matrix of the load points of the simulated transmission line, is a diagonal matrix and is a known constant, and the quality matrix represents the quality of each load point; p is an external force matrix borne by the simulation power transmission line and is a known constant;c is a damping coefficient;the acceleration matrix is an acceleration matrix of the load points of the simulated transmission line and represents the acceleration value of each load point;the speed matrix is a speed matrix of the load points of the simulated power transmission line, and represents the speed value of each load point; e is the elastic modulus of the transmission line and is a constant; a is the sectional area of the transmission line and is a constant; k is a rigidity matrix and is determined by the dynamic tension and the deformation quantity of two adjacent load points, and the deformation can be determined by calculating the displacement of the lead in the previous step and comprises three directions of x, y and z.
X (t-delta t) represents the displacement of the i +1 th loading point at the t-delta t moment, X (t) represents the displacement of the i +1 th loading point at the t moment, and X (t + delta t) represents the displacement of the i +1 th loading point at the t + delta t moment;
x (i +1) -x (i), y (i +1) -y (i), and Δ z (z +1) -z (i), wherein x (i +1), y (i +1), and z (i +1) are three coordinates of the i +1 th load point at the time t + Δ t, respectively, x (i), y (i), and z (i) are three coordinates of the i +1 th load point adjacent to the i +1 th load point at the time t + Δ t, respectively;
preferably, Δ t ≦ 2/ωnWherein ω isnIs the highest order natural vibration frequency of the power transmission line system.
By combining the above equations, when the displacement of a certain load point at the first time t- Δ t and the second time t is obtained continuously, the displacement value of the i +1 th load point at the third time t + Δ t and the displacement value of the i th load point adjacent to the i +1 th load point can be obtained continuously, so that the displacement values of the load point at all subsequent times can be obtained through continuous iteration, and the time-displacement curve of the load point can be obtained under the given damping coefficient C.
And determining the damping coefficient of the test power transmission line, namely selecting a certain time-displacement curve of the simulation power transmission line which is closer to the time-displacement curve of the test power transmission line from the time-displacement curves of the simulation power transmission lines under different damping coefficients, and taking the damping coefficient corresponding to the time-displacement curve of the certain simulation power transmission line as the damping coefficient of the test power transmission line in the initial state.
As shown in fig. 7, which is a time-displacement curve (in the case where the external moment matrix is close to or zero, the displacement is close to or equal to the jump height) at a certain load point of the power line under a certain mass (750 kg) of ice-shedding, the curve S1 represents the time-displacement curve of the actual test power line, and the curves S2, S3, S4 and S5 are the time-displacement curves of the simulated power lines at damping coefficients of 0.05, 0.1, 0.15 and 0.2, respectively, which are closest to the curve S1 by observing the curve S3, and thus, the damping coefficient of the test power line under the corresponding conditions can be considered to be 0.1.
As shown in fig. 8, it is a time-displacement curve of the de-iced another mass (1000 kg) at a certain load point of the power line, a curve S1 ' represents a time-displacement curve of an actual test power line, and curves S2 ', S3 ', S4 ' and S5 ' are time-displacement curves of a simulated power line at damping coefficients of 0.05, 0.1, 0.15 and 0.2, respectively, and are closest to a curve S1 ' through observation of a curve S3 ', and thus, it can be considered that the damping coefficient of the test power line is 0.1 under the corresponding conditions.
As shown in fig. 9, which is a time-displacement curve of an ice-shedding under another mass (1250 kg) at a certain load point of the power line, curve S1 ″ represents the time-displacement curve of an actual test power line, while curves S2 ″, S3 ″, S4 ″, and S5 ″ are time-displacement curves of simulated power lines with damping coefficients of 0.05, 0.1, 0.15, and 0.2, respectively, and are closest to curve S1 ″ through observation of curve S3 ″, and thus, it can be considered that the damping coefficient of the test power line is 0.1 under the corresponding conditions.
When the closest simulated power transmission line displacement-curve is selected, selecting a certain simulated power transmission line time-displacement curve of which the maximum displacement and the maximum displacement of the time-displacement curve of the tested power transmission line are within a set displacement difference, and selecting a certain simulated power transmission line time-displacement curve of which the attenuation rate of the curve peak and the corresponding curve peak attenuation rate of the time-displacement curve of the tested power transmission line are within a set rate difference.
As shown in fig. 11, by plotting the height curves of the sequentially appearing peaks in the time-displacement curve, it can be more clearly seen that the peak variation trend of the simulation calculation result (i.e., the simulated power line time-displacement curve S3) and the test result (i.e., the test power line time-displacement curve S1) is closer when the damping coefficient is 0.1. Similarly, in fig. 12, it can be seen that, when the damping coefficient is 0.1, the peak variation trend of the simulation calculation result (i.e., the simulated transmission line time-displacement curve S3 ') is closer to the peak variation trend of the test result (i.e., the test transmission line time-displacement curve S1'); in fig. 13, it can be seen that the peak variation trend of the simulation calculation result (i.e., the simulated power line time-displacement curve S3 ") is closer to that of the test result (i.e., the test power line time-displacement curve S1") with the damping coefficient of 0.1.
The foregoing is a more detailed description of the invention in connection with specific preferred embodiments and it is not intended that the invention be limited to these specific details. To those skilled in the art to which the invention relates, numerous changes, substitutions and alterations can be made without departing from the spirit of the invention, and these changes are deemed to be within the scope of the invention as defined by the appended claims.
Claims (5)
1. The method for measuring the deicing jump damping coefficient of the icing power transmission line is characterized by comprising the following steps of:
a step of measuring a time-displacement curve of the test transmission line, which is to measure the time-displacement curve of the test transmission line under the ice-shedding jump;
a step of calculating a time-displacement curve of the simulated transmission line, based onCalculating the same initial state and the same deicing condition as the test power transmission lineThe simulated transmission line of (1) a time-displacement curve under different damping coefficients, wherein,
wherein the total mass and the external force applied to the simulation power transmission line are discretely distributed on each load point, M is a mass matrix of the load point of the simulation power transmission line, P is an external force matrix applied to the simulation power transmission line, C is a damping coefficient,to simulate the acceleration matrix of the load point of the transmission line,the method comprises the following steps of simulating a speed matrix of a load point of a transmission line, wherein E is the elastic modulus of the transmission line, A is the sectional area of the transmission line, and T is the static tension of the transmission line; the same deicing conditions refer to: measuring the icing of a test transmission line which is separated from a certain mass at a certain position, correspondingly simulating the separation of the transmission line from a simulated mass of the same mass at a load point of the same position,
x (t-delta t) represents the displacement of the i +1 th loading point at the t-delta t moment, X (t) represents the displacement of the i +1 th loading point at the t moment, and X (t + delta t) represents the displacement of the i +1 th loading point at the t + delta t moment;
x (i +1) -x (i), y (i +1) -y (i), and Δ z (z +1) -z (i), wherein x (i +1), y (i +1), and z (i +1) are three coordinates of the i +1 th load point at the time t + Δ t, respectively, x (i), y (i), and z (i) are three coordinates of the i +1 th load point adjacent to the i +1 th load point at the time t + Δ t, respectively;
and determining the damping coefficient of the test power transmission line, namely selecting a certain time-displacement curve of the simulation power transmission line which is closer to the time-displacement curve of the test power transmission line from the time-displacement curves of the simulation power transmission lines under different damping coefficients, and taking the damping coefficient corresponding to the time-displacement curve of the certain simulation power transmission line as the damping coefficient of the test power transmission line in the initial state.
2. The method for measuring the deicing jump damping coefficient of the icing transmission line according to claim 1,
in the damping coefficient determination step of the test transmission line: and selecting a certain simulated power transmission line time-displacement curve of which the maximum displacement and the maximum displacement of the time-displacement curve of the test power transmission line are within a set displacement difference from the time-displacement curves of the simulated power transmission lines under different damping coefficients.
3. The method for measuring the deicing jump damping coefficient of the icing transmission line according to claim 1 or 2,
in the damping coefficient determination step of the test transmission line: and selecting a certain simulation power transmission line time-displacement curve of which the attenuation rate of the curve peak and the corresponding curve peak attenuation rate of the time-displacement curve of the test power transmission line are within a set rate difference from the time-displacement curves of the simulation power transmission lines under different damping coefficients.
4. The method for measuring the deicing jump damping coefficient of the icing transmission line according to claim 1,
Δt≤2/ωnwherein ω isnIs the highest order natural vibration frequency of the power transmission line system.
5. The method for measuring the deicing jump damping coefficient of the icing transmission line according to claim 1,
the mass of each load point of the simulation power transmission line is m:
q＝ρπb(D+d)
m＝qL/N
wherein q represents the mass of the ice coating of the transmission line per unit length, ρ represents the density of the ice, b represents the thickness of the ice coating of the transmission line, D represents the diameter of the transmission line, L represents the length of the transmission line, and N represents the number of load points.
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Cited By (4)
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| CN104166802A (en) * | 2014-08-18 | 2014-11-26 | 国家电网公司 | Method for determining sleeting jump height of continuous span transmission line |
| CN108090263A (en) * | 2017-12-05 | 2018-05-29 | 国网新疆电力有限公司电力科学研究院 | Power transmission line deices the verification method of vibration reduced scale experiment air damping |
| CN111272326A (en) * | 2020-04-02 | 2020-06-12 | 中国电力工程顾问集团西北电力设计院有限公司 | Method for solving single-end under-ice-cover unbalanced tension of continuous overhead transmission line |
| CN112710444A (en) * | 2019-12-26 | 2021-04-27 | 浙江大学 | Spring suspension section model device and test method |
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Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN104166802A (en) * | 2014-08-18 | 2014-11-26 | 国家电网公司 | Method for determining sleeting jump height of continuous span transmission line |
| CN104166802B (en) * | 2014-08-18 | 2017-11-21 | 国家电网公司 | A kind of continuous shelves transmission line of electricity ice-shedding method for determining height |
| CN108090263A (en) * | 2017-12-05 | 2018-05-29 | 国网新疆电力有限公司电力科学研究院 | Power transmission line deices the verification method of vibration reduced scale experiment air damping |
| CN108090263B (en) * | 2017-12-05 | 2021-08-24 | 国网新疆电力有限公司电力科学研究院 | Verification method for pneumatic damping of deicing vibration scale test of power transmission line |
| CN112710444A (en) * | 2019-12-26 | 2021-04-27 | 浙江大学 | Spring suspension section model device and test method |
| CN112710444B (en) * | 2019-12-26 | 2021-12-07 | 浙江大学 | Spring suspension section model device and test method |
| CN111272326A (en) * | 2020-04-02 | 2020-06-12 | 中国电力工程顾问集团西北电力设计院有限公司 | Method for solving single-end under-ice-cover unbalanced tension of continuous overhead transmission line |
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Application publication date: 20140709 |