CN110929210B - Method for calculating induction electricity of ground insulated metal conductor below alternating-current transmission line - Google Patents

Method for calculating induction electricity of ground insulated metal conductor below alternating-current transmission line Download PDF

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Publication number
CN110929210B
CN110929210B CN201911140164.3A CN201911140164A CN110929210B CN 110929210 B CN110929210 B CN 110929210B CN 201911140164 A CN201911140164 A CN 201911140164A CN 110929210 B CN110929210 B CN 110929210B
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current
impedance
ground
calculating
conductor
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CN110929210A (en
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郑中原
徐科
赵鹏
于金山
苏展
刘桂华
范巍
张佳成
姜玲
于奔
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State Grid Corp of China SGCC
State Grid Tianjin Electric Power Co Ltd
Electric Power Research Institute of State Grid Tianjin Electric Power Co Ltd
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State Grid Corp of China SGCC
State Grid Tianjin Electric Power Co Ltd
Electric Power Research Institute of State Grid Tianjin Electric Power Co Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06QINFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q50/00Information and communication technology [ICT] specially adapted for implementation of business processes of specific business sectors, e.g. utilities or tourism
    • G06Q50/06Energy or water supply

Abstract

The invention relates to a method for calculating induction electricity of an insulating metal conductor to the ground below an alternating current transmission line, which comprises the steps of firstly bringing phase conductor current, the distance between an insulating conductor and a three-phase line, a horizontal crossing angle and a phase angle into a formula and calculating electromagnetic induction electromotive force; then summing the self-impedance and the mutual inductance impedance of the insulating metal to ground calculated respectively; and then the induction current is calculated according to the electromagnetic induction electromotive force and the impedance. Through field experiments, the difference between the calculated induced current and the actually measured induced current is very small, and the calculation method can be completely applied to places inconvenient for field measurement of the induced current, and accurate data is obtained for subsequent processing.

Description

Method for calculating induction electricity of ground insulated metal conductor below alternating-current transmission line
Technical Field
The invention belongs to the technical field of induction detection of alternating-current transmission lines, and particularly relates to a method for calculating induction of a ground insulation metal conductor below an alternating-current transmission line.
Background
There is a sense that only a high voltage line is contacted to get an electric shock, so that the phenomenon that an electric shock accident occurs when a high voltage line is not contacted nearby the high voltage power transmission line is not solved. This is in fact a region of awareness error. Because of the strong electric field around the high-voltage power transmission and distribution device, the conductor in the electric field can generate induced voltage due to electrostatic induction, and because of the high voltage level of the alternating current transmission line and the large line current, the induced voltage and current of the conductor below the alternating current transmission line can reach higher values. The method is used for calculating and analyzing the induced voltage and current of the conductor below the transmission line, and is very important for operation and maintenance of the line and safety operation under the line. When people touch the objects with induced voltage, induced current flows to the ground through the human body, so that the people are electrically injured. In the actual monitoring process, the induction electricity is sometimes inconvenient to directly measure, so that an indirect calculation means is very necessary.
Disclosure of Invention
The invention aims to overcome the defects of the prior art, and provides a method for indirectly calculating the induction current of a grounding insulated metal conductor below an alternating current transmission line, which is used for calculating the induction current by calculating the induction electromotive force, the impedance and the horizontal crossing angle of the conductor and the line under the condition that the direct induction current measurement is not allowed under the actual measurement condition.
The specific technical scheme adopted by the invention is as follows:
a method for calculating induction electricity of an insulating metal conductor to ground below an alternating current transmission line is characterized by comprising the following steps of: the method comprises the following steps:
calculating electromagnetic induction electromotive force;
calculating the impedance of the ground insulating metal below the power transmission line;
and calculating the induced current.
Furthermore, the calculation formula of the induced electromotive force in the step is as follows:
wherein I is iA Is the current of phase A wire of the ith loop line; d, d 1ia 、d 1ib 、d 1ic The distances between the ground insulated conductor and the A, B, C three phases of the ith return line are respectively; θ is the horizontal crossing angle of the insulated conductor to ground and the transmission line; alpha is the phase angle of the three-phase lead, and the value is 120 degrees.
And in the step, the impedance is the sum of the self-impedance and the mutual inductance impedance of the earth insulating metal.
The self-impedance calculation formula is as follows:
wherein R is the self resistance of the metal conductor; j is the dielectric constant; lg is the base 10 logarithm; d (D) 0 Is the equivalent depth of current in the ground; r is (r) e Is the effective radius of the wire.
The calculation formula of the mutual inductance impedance is as follows:
wherein j is the dielectric constant; lg is the base 10 logarithm; d (D) 0 Is the equivalent depth of current in the ground; d, d h Is the distance of the run from the metal conductor.
Further, the D 0 The calculation formula for the current equivalent depth in the ground is:
where ρ is the soil resistivity and f is the frequency of the current.
Furthermore, the calculation formula of the induced current is as follows:
wherein I is an induced current; e is electromagnetic induction electromotive force; z is Z t Is self-impedance; z is Z h Is the mutual inductance impedance.
The invention has the advantages and beneficial effects that:
in the invention, firstly, the current of a phase wire, the distance between an insulated conductor and a three-phase line, the horizontal crossing angle and the phase angle are brought into a formula, and electromagnetic induction electromotive force is calculated; then summing the self-impedance and the mutual inductance impedance of the insulating metal to ground calculated respectively; and then the induction current is calculated according to the electromagnetic induction electromotive force and the impedance. Through field experiments, the difference between the calculated induced current and the actually measured induced current is very small, and the calculation method can be completely applied to places inconvenient for field measurement of the induced current, and accurate data is obtained for subsequent processing.
Detailed Description
The present invention is further illustrated by the following examples, which are intended to be illustrative, but not limiting, of the scope of the invention.
The invention discloses a method for calculating induction electricity of a ground insulated metal conductor below an alternating current transmission line, which is characterized by comprising the following steps: the method comprises the following steps:
calculating electromagnetic induction electromotive force;
calculating the impedance of the ground insulating metal below the power transmission line;
and calculating the induced current.
The specific contents of the steps are as follows:
the formula for calculating the induced electromotive force is as follows:
wherein I is iA Is the current of phase A wire of the ith loop line; d, d 1ia 、d 1ib 、d 1ic The distances between the ground insulated conductor and the A, B, C three phases of the ith return line are respectively; θ is the horizontal crossing angle of the insulated conductor to ground and the transmission line; alpha is the phase angle of the three-phase lead, and the value is 120 degrees.
And the impedance is the sum of the self impedance and the mutual inductance impedance of the insulating metal to ground.
The self-impedance calculation formula is as follows:
wherein R is the self resistance of the metal conductor; j is the dielectric constant; lg is the base 10 logarithm; d (D) 0 Is the equivalent depth of current in the ground; r is (r) e Is the effective radius of the wire.
The calculation formula of the mutual inductance impedance is as follows:
wherein j is the dielectric constant; lg is the base 10 logarithm; d (D) 0 Is the equivalent depth of current in the ground; d, d h Is the distance of the run from the metal conductor.
D 0 The calculation formula for the current equivalent depth in the ground is:
where ρ is the soil resistivity and f is the frequency of the current.
The calculation formula of the induced current is as follows:
wherein I is an induced current; e is electromagnetic induction electromotive force; z is Z t Is self-impedance; z is Z h Is the mutual inductance impedance.
Examples
The 220kV power transmission line is arranged somewhere, the iron wires in the grape trellis under the line are parallel to the power transmission line, the included angle is 180 degrees, the distances of the abc three phases are respectively 20m, 23m and 20m, the diameter of the wires is 15mm, the resistivity of soil is 0.5Ω.m, the impedance of the 1-meter long and 1-millimeter thick iron wires is 1.02X10 -3 Omega.m, air dielectric constant j of 1, phase current of 200A, and substituting the phase current into a formula to calculate the induced current in the iron wire below the circuit to be 0.066A, wherein the actual measurement value of the induced current in the iron wire on site is 0.07A, and the error is 5.7%. The experiment proves that the difference between the calculated induced current and the actually measured induced current is very small, and the calculation method can be completely applied to places inconvenient for on-site measurement of the induced current, and accurate data can be obtained for subsequent processing.

Claims (2)

1. A method for calculating induction electricity of an insulating metal conductor to ground below an alternating current transmission line is characterized by comprising the following steps of: the method comprises the following steps:
(1) Calculating electromagnetic induction electromotive force;
(2) Calculating the impedance of the ground insulation metal below the power transmission line; the impedance is the sum of the self-impedance and the mutual inductance impedance of the earth insulating metal;
the calculation formula of the self-impedance of the earth insulation metal is as follows:
r is the self resistance of the metal conductor; j is the dielectric constant; lg is the base 10 logarithm; d (D) 0 Is the equivalent depth of current in the ground; r is (r) e Is the effective radius of the wire;
the calculation formula of the mutual inductance impedance of the earth insulating metal is as follows:
wherein j is the dielectric constant; lg is the base 10 logarithm; d (D) 0 Is the equivalent depth of current in the ground; d, d h Is the distance between the running line and the metal conductor;
D 0 the calculation formula for the current equivalent depth in the ground is:
where ρ is the soil resistivity and f is the frequency of the current;
(3) Calculating an induced current;
the calculation formula of the induced electromotive force in the step (1) is as follows:
wherein IiA is the i-th loop line phase a conductor current; d1ia, d1ib, d1ic are the distances of the ground insulated conductor from the A, B, C three phases of the i-th return line, respectively; θ is the horizontal crossing angle of the insulated conductor to ground and the transmission line, and α is the phase angle of the three-phase conductor.
2. The method for calculating induction power of a ground insulated metal conductor under an ac transmission line according to claim 1, wherein: the calculation formula of the induced current is as follows:
wherein I is an induced current; e is electromagnetic induction electromotive force; zt is the self-impedance; zh is the mutual inductance impedance.
CN201911140164.3A 2019-11-20 2019-11-20 Method for calculating induction electricity of ground insulated metal conductor below alternating-current transmission line Active CN110929210B (en)

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Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101392870A (en) * 2008-09-18 2009-03-25 国网武汉高压研究院 Determining and protecting method for influence of extra-high voltage AC pipeline on petroleum and nature gas pipeline
CN103344810A (en) * 2013-06-25 2013-10-09 国家电网公司 Method for calculating electric shock effects of vehicle on human body under high-voltage alternating current transmission line
WO2016124014A1 (en) * 2015-02-05 2016-08-11 国家电网公司 Method of calculating step voltage and maximum contact voltage in gas-insulated substation
CN108984959A (en) * 2018-08-14 2018-12-11 国网安徽省电力有限公司 The emulated computation method of newly-built DC power transmission line inductive voltage and current based on PSCAD

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101392870A (en) * 2008-09-18 2009-03-25 国网武汉高压研究院 Determining and protecting method for influence of extra-high voltage AC pipeline on petroleum and nature gas pipeline
CN103344810A (en) * 2013-06-25 2013-10-09 国家电网公司 Method for calculating electric shock effects of vehicle on human body under high-voltage alternating current transmission line
WO2016124014A1 (en) * 2015-02-05 2016-08-11 国家电网公司 Method of calculating step voltage and maximum contact voltage in gas-insulated substation
CN108984959A (en) * 2018-08-14 2018-12-11 国网安徽省电力有限公司 The emulated computation method of newly-built DC power transmission line inductive voltage and current based on PSCAD

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
特高压交流输电线路下方交跨线路感应电计算方法研究;赵深,孔晓峰,胡泰山,张博,余光凯;《电测与仪表》;20170710;正文第1-3章 *

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