CN116381347A - Method for acquiring alternating-current equivalent resistance of large-section cable conductor based on peak characteristic - Google Patents

Method for acquiring alternating-current equivalent resistance of large-section cable conductor based on peak characteristic Download PDF

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CN116381347A
CN116381347A CN202211547344.5A CN202211547344A CN116381347A CN 116381347 A CN116381347 A CN 116381347A CN 202211547344 A CN202211547344 A CN 202211547344A CN 116381347 A CN116381347 A CN 116381347A
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cable conductor
section cable
equivalent resistance
peak
current
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CN116381347B (en
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韩永森
赵晨光
于辰风
陈杰
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Harbin University of Science and Technology
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R27/00Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom
    • G01R27/02Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant
    • G01R27/08Measuring resistance by measuring both voltage and current
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
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Abstract

The invention discloses a method for acquiring alternating-current equivalent resistance of a large-section cable conductor based on peak characteristics, which comprises the following steps of: at sinusoidal excitation current i (t) peak i (t) 0 ) Time t 0 The voltage u (t) at two ends of the large-section cable conductor is taken out 0 ) The method comprises the steps of carrying out a first treatment on the surface of the At this time, the voltage u (t) across the large-section cable conductor 0 ) And excitation current i (t 0 ) Satisfy the following requirements
Figure DDA0003980616670000011
When t 0 At this point in time, the sinusoidal excitation current i (t) reaches a peak i (t) 0 ) Rate of change over time
Figure DDA0003980616670000012
Then the ac equivalent resistance of the large section cable conductor is
Figure DDA0003980616670000013
The invention relates to a large-section cable conductor based on peak characteristicsThe method for acquiring the body alternating current equivalent resistance is an ideal method for accurately acquiring the alternating current equivalent resistance of the large-section cable conductor by considering that when the sinusoidal excitation current peaks, voltage signals at two ends of the large-section cable conductor only contain resistive components, and inductive components are zero; the method is simple in principle, easy to implement and high in accuracy.

Description

Method for acquiring alternating-current equivalent resistance of large-section cable conductor based on peak characteristic
Technical Field
The invention relates to the technical field of electrical testing, in particular to a method for acquiring alternating-current equivalent resistance of a large-section cable conductor based on peak characteristics.
Background
For a dc power cable, the current distribution along its conductor cross-section is uniform, and the current carrying capacity of the dc power cable is only related to the dc resistance of its conductor. In contrast, the current-carrying capacity of an ac power cable is related to the ac equivalent resistance of its conductors. However, the current distribution of the ac power cable is uneven along the conductor section, and the current density increases near the conductor surface, while the current density is relatively small near the center of the conductor, a phenomenon known as the skin effect. The presence of the skin effect results in an ac equivalent resistance of the ac power cable conductor that is higher than its dc resistance, and this difference increases as the cross-sectional area of the conductor increases.
Large section conductors are one of the key factors in developing high voltage class ac power cables. Under the action of alternating current, the large-section cable conductor can be equivalently connected in series with an alternating current resistor and an inductor, so that the voltage at two ends of the large-section cable conductor comprises resistive components at two ends of the alternating current equivalent resistor and inductive components at two ends of the equivalent inductor. Compared with the mature testing technology of the conductor direct current resistance, the testing technology of the alternating current equivalent resistance of the large-section cable conductor is still in a research and development stage at present, and the reason is that the resistance component of the voltage at the two ends of the large-section cable conductor is far smaller than the inductive component, so that the resistance component is difficult to accurately obtain from the voltage signals at the two ends of the large-section cable conductor, and the development of the testing technology of the alternating current equivalent resistance of the large-section cable conductor and the formulation of relevant standards are restricted.
Disclosure of Invention
The invention aims to provide a method for acquiring alternating-current equivalent resistance of a large-section cable conductor based on peak characteristics, so as to solve the problems in the background art.
In order to achieve the above purpose, the present invention provides the following technical solutions:
the method for acquiring the alternating-current equivalent resistance of the large-section cable conductor based on the peak characteristic comprises the following steps of: at sinusoidal excitation current i (t) peak i (t) 0 ) Time t 0 The voltage u (t) at two ends of the large-section cable conductor is taken out 0 ) The method comprises the steps of carrying out a first treatment on the surface of the At this time, the voltage u (t) across the large-section cable conductor 0 ) And excitation current i (t 0 ) Satisfy the following requirements
Figure BDA0003980616650000021
L is the equivalent inductance of the large-section cable conductor; when t 0 At this point in time, the sinusoidal excitation current i (t) reaches a peak i (t) 0 ) Its rate of change over time->
Figure BDA0003980616650000022
Then the ac equivalent resistance of the large section cable conductor is +.>
Figure BDA0003980616650000023
As a further technical scheme of the invention: the sinusoidal excitation current signal of the large-section cable conductor is obtained through the existing large-section cable conductor alternating current equivalent resistance testing technology.
As a further technical scheme of the invention: the voltage signals at two ends of the large-section cable conductor are obtained through the existing large-section cable conductor alternating current equivalent resistance testing technology.
Compared with the prior art, the invention has the beneficial effects that:
the invention relates to a method for acquiring alternating-current equivalent resistance of a large-section cable conductor based on peak characteristics, which is an ideal method for accurately acquiring the alternating-current equivalent resistance of the large-section cable conductor by considering that when sinusoidal excitation current peaks, voltage signals at two ends of the large-section cable conductor only contain resistive components, and inductive components are zero; the method is simple in principle, easy to implement and high in accuracy.
Drawings
FIG. 1 is a schematic diagram of the time domain waveforms of the sinusoidal excitation current and the voltage across a large cross-section conductor of the present invention.
Detailed Description
The following description of the technical solutions in the embodiments of the present invention will be clear and complete, and it is obvious that the described embodiments are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
In example 1, as shown in fig. 1, the method for obtaining the ac equivalent resistance of the large-section cable conductor based on the peak characteristics specifically comprises the following steps: at sinusoidal excitation current i (t) peak i (t) 0 ) Time t 0 The voltage u (t) at two ends of the large-section cable conductor is taken out 0 ) The method comprises the steps of carrying out a first treatment on the surface of the At this time, the voltage u (t) across the large-section cable conductor 0 ) And excitation current i (t 0 ) Satisfy the following requirements
Figure BDA0003980616650000031
L is the equivalent inductance of the large-section cable conductor; when t 0 At this point in time, the sinusoidal excitation current i (t) reaches a peak i (t) 0 ) Its rate of change over time->
Figure BDA0003980616650000032
Then the ac equivalent resistance of the large section cable conductor is +.>
Figure BDA0003980616650000033
In the embodiment 2, on the basis of the embodiment 1, the sine excitation current signal and the two-end voltage signal of the large-section cable conductor in the method can be obtained by the existing large-section cable conductor alternating-current equivalent resistance test technology.
It will be evident to those skilled in the art that the invention is not limited to the details of the foregoing illustrative embodiments, and that the present invention may be embodied in other specific forms without departing from the spirit or essential characteristics thereof. The present embodiments are, therefore, to be considered in all respects as illustrative and not restrictive, the scope of the invention being indicated by the appended claims rather than by the foregoing description, and all changes which come within the meaning and range of equivalency of the claims are therefore intended to be embraced therein.
Furthermore, it should be understood that although the present disclosure describes embodiments, not every embodiment is provided with a separate embodiment, and that this description is provided for clarity only, and that the disclosure is not limited to the embodiments described in detail below, and that the embodiments described in the examples may be combined as appropriate to form other embodiments that will be apparent to those skilled in the art.

Claims (3)

1. The method for acquiring the alternating-current equivalent resistance of the large-section cable conductor based on the peak characteristic is characterized by comprising the following steps of: at sinusoidal excitation current i (t) peak i (t) 0 ) Time t 0 The voltage u (t) at two ends of the large-section cable conductor is taken out 0 ) The method comprises the steps of carrying out a first treatment on the surface of the At this time, the voltage u (t) across the large-section cable conductor 0 ) And excitation current i (t 0 ) Satisfy the following requirements
Figure FDA0003980616640000011
L is the equivalent inductance of the large-section cable conductor; when t 0 At this point in time, the sinusoidal excitation current i (t) reaches a peak i (t) 0 ) Rate of change over time
Figure FDA0003980616640000012
Then the ac equivalent resistance of the large section cable conductor is +.>
Figure FDA0003980616640000013
2. The method for acquiring the alternating-current equivalent resistance of the large-section cable conductor based on the peak value characteristic according to claim 1, wherein the sinusoidal excitation current signal of the large-section cable conductor is acquired through the existing alternating-current equivalent resistance testing technology of the large-section cable conductor.
3. The method for acquiring the alternating-current equivalent resistance of the large-section cable conductor based on the peak value characteristics according to claim 2, wherein the voltage signals at two ends of the large-section cable conductor are acquired through the existing large-section cable conductor alternating-current equivalent resistance testing technology.
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CN113933593A (en) * 2021-10-27 2022-01-14 江苏上上电缆集团有限公司 Large-section cable conductor alternating current equivalent resistance test system and method based on current comparator
CN114487734A (en) * 2022-02-08 2022-05-13 西安交通大学 Short-time alternating-current transmission cable line insulation integrated comprehensive testing device and method
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US20140032147A1 (en) * 2012-07-30 2014-01-30 Virginia Tech Intellectual Properties, Inc. System and Method for Impedance Measurement Using Chirp Signal Injection
CN106291115A (en) * 2016-10-27 2017-01-04 哈尔滨理工大学 Distance power cable insulation impedance on-line monitoring method
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US20220357380A1 (en) * 2020-02-05 2022-11-10 Megger Instruments Ltd Measuring loop resistance
CN113326571A (en) * 2021-06-25 2021-08-31 中车长春轨道客车股份有限公司 Train body electromagnetic compatibility confirmation method based on three-dimensional equivalent impedance network
CN113933593A (en) * 2021-10-27 2022-01-14 江苏上上电缆集团有限公司 Large-section cable conductor alternating current equivalent resistance test system and method based on current comparator
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