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CN-116756519-B - Determination method for ice coating unit Rayleigh Lei Zuni proportionality coefficient in ice coating power transmission line

CN116756519BCN 116756519 BCN116756519 BCN 116756519BCN-116756519-B

Abstract

According to the method for determining the proportion coefficient of the ice coating unit in the ice coating power transmission line, after the first power transmission line parameter and the first damping ratio before ice coating of the target power transmission line and the second power transmission line parameter and the second damping ratio after ice coating are determined, the first vibration mode frequency of the target power transmission line before ice coating under the first vibration mode can be determined according to the first power transmission line parameter of the target power transmission line, and the second vibration mode frequency of the target power transmission line after ice coating under the second vibration mode can be determined according to the second power transmission line parameter of the target power transmission line, so that the first mass damping proportion coefficient and the first stiffness damping proportion coefficient before ice coating of the target power transmission line, the second mass damping proportion coefficient and the second stiffness damping proportion coefficient after ice coating can be calculated by adopting a Rayleigh Lei Zuni algorithm, and finally the third mass damping proportion coefficient and the third stiffness damping proportion coefficient of the ice coating unit can be calculated, and then the power response of the line under ice coating and partial ice coating working conditions can be calculated accurately.

Inventors

  • HUANG ZENGHAO
  • YANG QI
  • LI HAO
  • ZENG HUARONG
  • WU JIANRONG
  • ZHANG HOURONG
  • HE JINQIANG

Assignees

  • 南方电网科学研究院有限责任公司
  • 贵州电网有限责任公司

Dates

Publication Date
20260505
Application Date
20230725

Claims (9)

  1. 1. A method for determining a proportion coefficient of an icing unit Rayleigh Lei Zuni in an icing transmission line is characterized by comprising the following steps: Determining a first power transmission line parameter and a first damping ratio before icing of a target power transmission line, and a second power transmission line parameter and a second damping ratio after icing; Determining a first vibration mode frequency of the target power transmission line under a first vibration mode before icing the target power transmission line based on a first power transmission line parameter of the target power transmission line, and determining a second vibration mode frequency of the target power transmission line under a second vibration mode after icing the target power transmission line based on a second power transmission line parameter of the target power transmission line; Calculating a first mass damping proportion coefficient and a first rigidity damping proportion coefficient of the target power transmission line before icing according to a first vibration mode, a first vibration mode frequency and a first damping ratio of the target power transmission line before icing by adopting a Rayleigh Lei Zuni algorithm, and calculating a second mass damping proportion coefficient and a second rigidity damping proportion coefficient of the target power transmission line after icing according to a second vibration mode, a second vibration mode frequency and a second damping ratio of the target power transmission line after icing; Calculating a third mass damping proportion coefficient and a third stiffness damping proportion coefficient of the icing unit by using the first mass damping proportion coefficient and the first stiffness damping proportion coefficient before icing of the target power transmission line, and the second mass damping proportion coefficient and the second stiffness damping proportion coefficient after icing, wherein the method comprises the following steps: Establishing mathematical relations of rigidity, quality and damping among the target power transmission line before icing, the icing unit and the target power transmission line after icing; And calculating a third mass damping proportion coefficient and a third stiffness damping proportion coefficient of the icing unit according to the first mass damping proportion coefficient and the first stiffness damping proportion coefficient before icing of the target power transmission line, the second mass damping proportion coefficient and the second stiffness damping proportion coefficient after icing and the mathematical relation of stiffness, mass and damping among the three.
  2. 2. The method for determining the proportionality coefficient of ice coating unit rayls Lei Zuni in an ice-coated power transmission line according to claim 1, wherein the first power transmission line parameters include a horizontal span, a horizontal tension before ice coating and a mass per unit length, the first vibration mode includes an out-of-plane vibration mode, and the first vibration mode frequency includes an out-of-plane vibration frequency; the calculation formula for determining the out-of-plane vibration frequency of the target power transmission line before icing under the out-of-plane vibration mode based on the horizontal span of the target power transmission line, the horizontal tension before icing and the mass per unit length is as follows: In the formula, For the nth order out-of-plane vibration frequency, L is the horizontal span, H c is the horizontal tension before icing, and m c is the mass per unit length before icing.
  3. 3. The method for determining the proportion coefficient of ice coating unit Rayleigh Lei Zuni in an ice-coated power transmission line according to claim 1 or 2, wherein the first power transmission line parameters comprise a horizontal span, a horizontal tension before ice coating, a mass per unit length, an elastic modulus and a cross-sectional area, the first vibration mode comprises an in-plane vibration mode, and the first vibration mode frequency comprises an in-plane antisymmetric vibration frequency and an in-plane symmetric vibration frequency; The calculation formula for determining the in-plane antisymmetric vibration frequency of the target power transmission line before icing under the in-plane vibration mode based on the horizontal span of the target power transmission line, the horizontal tension before icing and the mass per unit length is as follows: In the formula, For the anti-symmetric vibration frequency in the nth order plane before icing, L is a horizontal span, H c is horizontal tension before icing, and m c is mass per unit length; the calculation formula for determining the in-plane symmetrical vibration frequency of the target power transmission line under the in-plane vibration mode based on the horizontal span of the target power transmission line, the horizontal tension before icing, the unit length mass, the elastic modulus and the cross-sectional area is as follows: Wherein, the For symmetric vibration frequency in the nth order plane before icing, L is a horizontal span, H c is horizontal tension before icing, m c is unit length mass before icing, As the root of the nth order characteristic equation, lambda c is the Irvine constant, E c is the elastic modulus of the target transmission line before icing, and a c is the cross-sectional area of the target transmission line before icing.
  4. 4. The method for determining the proportionality coefficient of ice coating unit rayls Lei Zuni in an ice-coated power transmission line according to claim 1, wherein the second power transmission line parameters include a horizontal span, a horizontal tension after ice coating and a unit length mass, the second vibration mode includes an out-of-plane vibration mode, and the second vibration mode frequency includes an out-of-plane vibration frequency; The calculation formula for determining the out-of-plane vibration frequency of the target power transmission line after icing under the out-of-plane vibration mode based on the horizontal span of the target power transmission line, the horizontal tension after icing and the mass per unit length is as follows: In the formula, For the out-of-plane vibration frequency of the nth order after ice coating, L is a horizontal span, For horizontal tension after ice coating, Is the mass per unit length after ice coating.
  5. 5. The method for determining the proportion coefficient of ice coating unit Rayleigh Lei Zuni in an ice coated power transmission line according to claim 1 or 4, wherein the first power transmission line parameters comprise a horizontal span, a horizontal tension after ice coating, a unit length mass, an elastic modulus and a cross-sectional area, the second vibration mode comprises an in-plane vibration mode, and the second vibration mode frequency comprises an in-plane asymmetric vibration frequency and an in-plane symmetric vibration frequency; the calculation formula for determining the in-plane asymmetric vibration frequency of the target power transmission line under the in-plane vibration mode after icing based on the horizontal span of the target power transmission line, the horizontal tension after icing and the unit length mass is as follows: In the formula, For the asymmetric vibration frequency in the nth order plane, L is the horizontal span, For horizontal tension after ice coating, Mass per unit length; the calculation formula for determining the in-plane symmetrical vibration frequency of the target power transmission line under the in-plane vibration mode based on the horizontal span of the target power transmission line, the horizontal tension after icing, the unit length mass, the elastic modulus and the cross-sectional area is as follows: Wherein, the In order to obtain symmetrical vibration frequency in the nth order plane after ice coating, L is a horizontal span, For horizontal tension after ice coating, For the mass per unit length after the ice coating, As the root of the nth order characteristic equation, lambda ci is the Irvine constant, E c is the elastic modulus of the target transmission line before icing, a c is the cross-sectional area of the target transmission line before icing, E i is the elastic modulus of the icing, a i is the cross-sectional area of the icing, and H c is the horizontal tension before icing.
  6. 6. The method for determining the proportionality coefficient of an icing unit at Lei Zuni in an icing power transmission line according to claim 5, wherein the calculation formula of the horizontal tension after icing is as follows: Wherein q ci is the dead weight of the target power transmission line after ice coating, q ci =(m c +m i )g;q c is the dead weight of the target power transmission line, q c =m c g;E i is the elastic modulus of the ice coating, A i is the cross-sectional area of the ice, and the calculation formula is as follows: wherein b i is ice thickness, and r c is the radius of the target transmission line.
  7. 7. The utility model provides a device for determining icing unit rui Lei Zuni proportionality coefficient in icing power transmission line which characterized in that includes: The parameter acquisition module is used for determining a first power transmission line parameter and a first damping ratio before icing of the target power transmission line, and a second power transmission line parameter and a second damping ratio after icing; The vibration mode frequency calculation module is used for determining a first vibration mode frequency of the target power transmission line under a first vibration mode before icing the target power transmission line based on a first power transmission line parameter of the target power transmission line, and determining a second vibration mode frequency of the target power transmission line under a second vibration mode after icing the target power transmission line based on a second power transmission line parameter of the target power transmission line; The first damping proportion coefficient determining module is used for adopting a Rayleigh Lei Zuni algorithm, calculating a first mass damping proportion coefficient and a first rigidity damping proportion coefficient of the target power transmission line before icing according to a first vibration mode, a first vibration mode frequency and a first damping ratio of the target power transmission line before icing, and calculating a second mass damping proportion coefficient and a second rigidity damping proportion coefficient of the target power transmission line after icing according to a second vibration mode, a second vibration mode frequency and a second damping ratio of the target power transmission line after icing; The second damping proportion coefficient determining module is configured to calculate a third mass damping proportion coefficient and a third stiffness damping proportion coefficient of the icing unit by using the first mass damping proportion coefficient and the first stiffness damping proportion coefficient before icing, the second mass damping proportion coefficient and the second stiffness damping proportion coefficient after icing, and the second damping proportion coefficient determining module includes: Establishing mathematical relations of rigidity, quality and damping among the target power transmission line before icing, the icing unit and the target power transmission line after icing; And calculating a third mass damping proportion coefficient and a third stiffness damping proportion coefficient of the icing unit according to the first mass damping proportion coefficient and the first stiffness damping proportion coefficient before icing of the target power transmission line, the second mass damping proportion coefficient and the second stiffness damping proportion coefficient after icing and the mathematical relation of stiffness, mass and damping among the three.
  8. 8. A storage medium having stored therein computer readable instructions which, when executed by one or more processors, cause the one or more processors to perform the steps of a method of determining a icing unit rayleigh Lei Zuni scaling factor in an icing power line as claimed in any one of claims 1 to 6.
  9. 9. A computer device includes one or more processors and a memory; Stored in the memory are computer readable instructions which, when executed by the one or more processors, perform the steps of the method of determining the icing unit rake Lei Zuni scaling factor in an icing power transmission line as defined in any one of claims 1 to 6.

Description

Determination method for ice coating unit Rayleigh Lei Zuni proportionality coefficient in ice coating power transmission line Technical Field The application relates to the technical field of power numerical simulation calculation of icing vibration of a power transmission line, in particular to a method for determining a proportion coefficient of an icing unit Rayleigh Lei Zuni in an icing power transmission line. Background The ice disaster of the power transmission line is a common natural disaster of the power grid, the natural disaster easily causes the phenomena of galloping, ice-removing jumping and the like of the power transmission line, and even causes the disasters of flashover, line breakage, tower falling and the like when serious. At present, line damping in the problem of ice-breaking and jumping of a power transmission line is very sensitive to response, so that parameter setting by adopting a Rayleigh Lei Zuni algorithm is often critical. However, the current method for setting the damping ratio of the icing wire and the power transmission wire is not clear, so that the damping coefficients of the icing wire and the power transmission wire cannot be determined, and further the dynamic response of the icing wire and the power response of the power transmission wire under partial icing working conditions cannot be accurately calculated. Disclosure of Invention The application aims to at least solve one of the technical defects, in particular to the technical defect that the damping coefficients of the icing and the power transmission line cannot be determined in the prior art, and further the dynamic response of the line under the working conditions of icing and partial icing cannot be accurately calculated. The application provides a method for determining a proportion coefficient of an icing unit Rayleigh Lei Zuni in an icing power transmission line, which comprises the following steps: Determining a first power transmission line parameter and a first damping ratio before icing of a target power transmission line, and a second power transmission line parameter and a second damping ratio after icing; Determining a first vibration mode frequency of the target power transmission line under a first vibration mode before icing the target power transmission line based on a first power transmission line parameter of the target power transmission line, and determining a second vibration mode frequency of the target power transmission line under a second vibration mode after icing the target power transmission line based on a second power transmission line parameter of the target power transmission line; Calculating a first mass damping proportion coefficient and a first rigidity damping proportion coefficient of the target power transmission line before icing according to a first vibration mode, a first vibration mode frequency and a first damping ratio of the target power transmission line before icing by adopting a Rayleigh Lei Zuni algorithm, and calculating a second mass damping proportion coefficient and a second rigidity damping proportion coefficient of the target power transmission line after icing according to a second vibration mode, a second vibration mode frequency and a second damping ratio of the target power transmission line after icing; and calculating a third mass damping proportion coefficient and a third stiffness damping proportion coefficient of the icing unit by using the first mass damping proportion coefficient and the first stiffness damping proportion coefficient before icing of the target power transmission line, and the second mass damping proportion coefficient and the second stiffness damping proportion coefficient after icing. Optionally, the first power transmission line parameter includes a horizontal span, a horizontal tension before icing, and a mass per unit length, the first vibration mode includes an out-of-plane vibration mode, and the first vibration mode frequency includes an out-of-plane vibration frequency; the calculation formula for determining the out-of-plane vibration frequency of the target power transmission line before icing under the out-of-plane vibration mode based on the horizontal span of the target power transmission line, the horizontal tension before icing and the mass per unit length is as follows: Wherein ω co_n is the nth order out-of-plane vibration frequency, L is the horizontal span, H c is the horizontal tension before icing, and m c is the mass per unit length before icing. Optionally, the first power transmission line parameters include a horizontal span, a horizontal tension before icing, a mass per unit length, an elastic modulus and a cross-sectional area, the first vibration mode includes an in-plane vibration mode, and the first vibration mode frequency includes an in-plane antisymmetric vibration frequency and an in-plane symmetric vibration frequency; The calculation formula for determining the in-plane antisymmetric vibra