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CN114386219A - Method and device for calculating current-carrying capacity of soil direct-buried cable group - Google Patents

Method and device for calculating current-carrying capacity of soil direct-buried cable group Download PDF

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CN114386219A
CN114386219A CN202111424267.XA CN202111424267A CN114386219A CN 114386219 A CN114386219 A CN 114386219A CN 202111424267 A CN202111424267 A CN 202111424267A CN 114386219 A CN114386219 A CN 114386219A
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cable
soil
conductor
buried
temperature
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陈文教
卞佳音
许继葵
张钰
单鲁平
郑志豪
贺伟
徐研
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Guangzhou Power Supply Bureau of Guangdong Power Grid Co Ltd
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Guangzhou Power Supply Bureau of Guangdong Power Grid Co Ltd
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00Computer-aided design [CAD]
    • G06F30/20Design optimisation, verification or simulation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2113/00Details relating to the application field
    • G06F2113/16Cables, cable trees or wire harnesses
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F2119/00Details relating to the type or aim of the analysis or the optimisation
    • G06F2119/06Power analysis or power optimisation
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • G06F2119/08Thermal analysis or thermal optimisation

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Abstract

The invention discloses a method and a device for calculating the current-carrying capacity of a soil direct-buried cable cluster, wherein the method comprises the steps of S1, inputting structural parameters of a soil direct-buried laying cluster cable and thermophysical parameters of a cable body; s2, calculating the temperature rise delta theta generated by the self-heating of the conductor of the p-th cable in the multi-loop calandria cable according to the cable body thermophysical parameterspp(ii) a S3, calculating the additional temperature rise delta theta of the pth cable caused by the heat action of the kth cablepk(ii) a S4, establishing a characterization relation matrix of the conductor temperature and the power loss of the soil direct-buried cable group based on the steps S1-S3; s5, obtaining the conductor of the soil direct-buried cable group by iterative calculation of the characterization relation matrix of the conductor temperature and the power lossAnd outputting the steady-state temperature state quantity. The method fully considers the influence of mutual heat influence among the cables on the conductor temperature of the cables, accurately obtains the calculation result of the conductor temperature of the cables, and ensures the safe use of the cables.

Description

Method and device for calculating current-carrying capacity of soil direct-buried cable group
Technical Field
The invention relates to the technical field of cable carrying capacity calculation, in particular to a calculation method and a calculation device for carrying capacity of a soil direct-buried cable group.
Background
In order to alleviate the current situation that the power transmission demand is increased at a high speed but the new construction of an electric energy transmission corridor is increasingly difficult, the clustered laying mode is widely used in the new construction of a cable line. When the temperature distribution of conductors of the cables of the cable group is calculated through the existing research, the fact that the loads of the cables in the cable group are the same or the load values are set manually is often assumed, the exploration that the real load distribution condition of the cables of the cable group is used as input quantity to be introduced into the thermal evaluation calculation of the cables of the cable group is lacked, and the accuracy of a current-carrying capacity calculation model of the cables of the cable group, which is proposed through the existing research, is insufficient.
When IEC60287 is applied to solving the current-carrying capacity of the soil direct-buried cable group, the heat dissipation power of each cable in the cable group is usually estimated in advance, the accuracy of the setting of the heat dissipation power of the cable directly influences the precision of the calculation result of the current-carrying capacity of the cable, the uncertainty of the initial value estimation can bring certain errors to the steady-state thermal estimation of the cable, and the steady-state thermal estimation of the cable is related to the safe use problem of the cable. And IEC60287 mainly considers the thermal influence of other cables on the target cable when calculating the current-carrying capacity of the directly-buried laying cluster cable, and characterizes the influence of the thermal-related cable on the target cable as the temperature rise caused on the surface of the target cable. In the actual process, the thermal action between the target cable and the thermal-related cable is mutual, the heat dissipation capacity of the target cable and the thermal-related cable changes along with the change of the conductor temperature, and errors are brought to the calculation result by only considering the influence of the thermal-related cable on the target cable and neglecting the influence of the mutual thermal action between the cables on the heat dissipation capacity of the thermal-related cable in the steady-state thermal evaluation process of the cable.
Disclosure of Invention
In order to solve at least one technical problem in the background art, the invention provides a method and a device for calculating the current-carrying capacity of a soil direct-buried cable group, so as to obtain a calculation result of the conductor temperature of a cable more accurately and ensure the safe use of the cable.
In order to achieve the purpose, the technical scheme of the invention is as follows:
in a first aspect, the invention provides a method for calculating current-carrying capacity of a soil direct-buried cable group, which comprises the following steps:
s1, inputting structural parameters of the soil direct-buried laying cluster cable and thermophysical parameters of the cable body;
s2, calculating the temperature rise delta theta generated by the self-heating of the conductor of the p-th cable in the multi-loop calandria cable according to the cable body thermophysical parameterspp
S3, calculating the additional temperature rise delta theta of the pth cable caused by the heat action of the kth cablepk
S4, establishing a characterization relation matrix of the conductor temperature and the power loss of the soil direct-buried cable group based on the steps S1-S3;
and S5, calculating when the loss power of each cable in the cable group is preset according to the condition that the conductor is at the highest allowable operation temperature, and obtaining the conductor steady-state temperature state quantity output of the soil direct-buried cable group by utilizing the characterization relation matrix of the conductor temperature and the power loss through iterative calculation.
Further, in step S1, the cable structure parameter includes an outer diameter D of the cablee(ii) a The cable body thermophysical property parameter comprises the heat dissipation W of the cable conductor at 90 DEG CcDielectric loss W of insulating layer of cableiMetallic sheath shielding loss W of cablemThe ratio λ of the cable sheathing loss to the total loss of all conductors2Thermal insulation layer resistance T of cable1Thermal resistance T of inner liner of cable2Thermal resistance T of outer protective layer of cable3And cable external environment thermal resistance T4
Further, in step S2, the conductor of the pth cable generates heat by itself to generate a temperature rise Δ θppCalculated by the following method:
Δθpp=appWpc+cp
Figure BDA0003378428540000021
wherein the subscript p represents the pth cable, appRepresenting the relation between the power loss and the temperature rise generated by the pth cable body; c. CpRelated to the structural model of the p-th cable, namely cpScalar for model of ith cable.
Further, in step S3, the pth cable has an additional temperature rise Δ θpkCalculated by the following method:
Δθpk=apkWkc
Figure BDA0003378428540000022
Δθp=ap1W1c+…appWpc+…apjWjc+…apnWnc+cp
in the formula (d)pkAnd d'pkRespectively the distance from the center of the p-th cable to the center of the k-th cable and the distance from the center of the p-th cable to the mirror image center of the k-th cable in the earth-air, rhoTIs the thermal resistivity of the soil.
Further, in step S4, the characterization relationship matrix of the conductor temperature and the power loss of the soil buried cable group is:
Figure BDA0003378428540000023
Figure BDA0003378428540000024
in the formula, A is a matrix of the self-heating coefficient and the mutual-heating coefficient of the cable group, W is a matrix of the loss power of the cable group, C is a model parameter matrix of the cable group, and Delta theta is a temperature rise matrix of the cable group.
Further, in step S5, the obtaining the conductor steady-state temperature state quantity output of the soil buried cable group by iterative calculation using the characterization relation matrix of the conductor temperature and the power loss includes:
and (3) calculating conductor temperature of each cable in the cable group by using the step S2 as an initial iteration value, calculating loss power of each cable in the cable group under the corresponding temperature condition by using the initial iteration value of the conductor temperature of the cable group, which is solved in the steps S3-S4, substituting the calculated loss power of the cable into the step S2 to calculate a second iteration result of the conductor temperature of each cable in the cable group, repeating the calculation process until the error between the conductor temperature results obtained by two adjacent iteration calculations meets the requirement, considering that iteration is converged, and outputting the last iteration result, namely the steady-state temperature state quantity of the soil direct-buried cable group under the consideration of the mutual heat effect.
Further, the cable structure parameters and the cable body thermal physical property parameters are obtained according to the model of the cable and the load of each loop cable.
In a second aspect, the present invention provides a device for calculating current carrying capacity of a soil buried cable cluster, including a memory, a processor and a computer program stored in the memory and executable on the processor, wherein the processor implements the steps of any one of the methods described above when executing the computer program.
In a third aspect, the invention provides a computer-readable storage medium having stored thereon a computer program which, when executed by a processor, carries out the steps of the method as set forth in any of the above.
Compared with the prior art, the invention has the beneficial effects that:
the method fully considers the influence of mutual heat influence among the cables on the conductor temperature of the cables, thereby being more suitable for the calculation of the conductor temperature of the multi-loop cable under the actual condition and being capable of obtaining more accurate calculation results.
Drawings
Fig. 1 is a flowchart of a method for calculating a current-carrying capacity of a soil buried cable cluster according to embodiment 1 of the present invention;
fig. 2 is a schematic diagram of a simulation model of a dual-loop soil buried cable according to embodiment 1 of the present invention;
fig. 3 is a schematic composition diagram of a device for calculating current-carrying capacity of a soil buried cable cluster according to embodiment 21 of the present invention.
Detailed Description
The technical solution of the present invention is further described below with reference to the accompanying drawings and examples.
Example 1:
referring to fig. 1, the method for calculating the current-carrying capacity of the soil buried cable group provided in this embodiment mainly includes the following steps:
step S1, obtaining the outer diameter D of the cable according to the model of the cable and the load of each loop cableeHeat dissipation W of cable conductor at 90 DEG CcDielectric loss W of insulating layer of cableiMetallic sheath shielding loss W of cablemThe ratio λ of the cable sheathing loss to the total loss of all conductors2Thermal insulation layer resistance T of cable1Thermal resistance T of inner liner of cable2Thermal resistance T of outer protective layer of cable3And cable external environment thermal resistance T4
The parameters can be calculated according to the model of the cable by using IEC60287 or JB/T10181 standards.
Step S2, calculating according to the cable body thermophysical property parameters and the external environment thermal resistance to obtain the temperature rise delta theta generated by the self-heating of the conductor of the p-th cable in the multi-loop calandria cableppWherein a isppAnd cpThe calculation method of (b) is shown in the following formula. :
Δθpp=appWpc+cp
Figure BDA0003378428540000041
wherein the subscript p represents the pth cable, appRepresenting the relation between the power loss and the temperature rise generated by the pth cable body; c. CpRelated to the structural model of the p-th cable, namely cpScalar for model of ith cable.
Step S3, calculating the additional temperature rise delta theta of the pth cable caused by the heat action of the kth cablepk. Then for the pth cable, the steady state temperature rise delta theta of the conductor relative to the environment after considering the cable-to-cable mutual thermal effectpThe calculation formula is as follows.
Δθpk=apkWkc
Figure BDA0003378428540000042
Δθp=ap1W1c+…appWpc+…apjWjc+…apnWnc+cp
In the formula (d)pkAnd d'pkRespectively the distance from the center of the p-th cable to the center of the k-th cable and the distance from the center of the p-th cable to the mirror image center of the k-th cable in the earth-air, rhoTIs the thermal resistivity of the soil.
Step S4, based on steps S1-S3, establishing a characterization relation between the conductor temperature and the power loss of the soil buried cable group, wherein the matrix form and the specific development form are shown as follows:
Figure BDA0003378428540000043
Figure BDA0003378428540000044
in the formula, A is a matrix of the self-heating coefficient and the mutual-heating coefficient of the cable group, W is a matrix of the loss power of the cable group, C is a model parameter matrix of the cable group, and Delta theta is a temperature rise matrix of the cable group.
Step S5, calculating when the loss power of each cable in the cable group is preset according to the condition that the conductor is at the highest allowable operation temperature, using the conductor temperature of each cable in the cable group obtained by calculation in step S2 as an iterative initial value, using the cable group conductor temperature iterative initial value obtained by steps S3-S4 to calculate the loss power of each cable in the cable group under the corresponding temperature condition, substituting the obtained loss power of the cable into the step S2 to obtain a second iterative result of the conductor temperature of each cable in the cable group, repeating the calculation process until the error between the cable conductor temperature results obtained by two adjacent iterative calculations meets the requirement, considering iterative convergence, and the last iterative result is the steady-state temperature quantity of the soil direct-buried cable group under the consideration of the mutual thermal effect.
In order to verify the effect of the method for calculating the carrying capacity of the soil direct-buried cable group, 110kV YJLW031 multiplied by 500mm is selected2Taking a 2 × 3 dual-loop soil directly-buried cable group commonly used for high-voltage cables in engineering practice as an example to calculate and explain and establish a simulation model, wherein a geometric model of the dual-loop soil directly-buried cable group is shown in fig. 2; the structural parameters of the cable are shown in table 1; the distance between the adjacent cable surfaces was set to 0.1 m. The heat conductivity coefficient of the soil is set to be 0.5W/m.K, the environmental temperature of the deep soil is set to be 30 ℃, and the surface air temperature and the environmental convection heat dissipation coefficient are respectively set to be 25 ℃ and 7.5W/m.K.
Table 1110 kV cable structure parameter
Figure BDA0003378428540000051
When the current-carrying capacity of the soil direct-buried cable group is calculated by the method for calculating the current-carrying capacity of the soil direct-buried cable group according to the embodiment, the corresponding hottest cable conductor temperature value is compared with the finite element result, as shown in table 2.
Table 2 comparison of theoretical calculation results of conductor temperature of directly-buried cabling cluster cable with simulation calculation results
Figure BDA0003378428540000052
Therefore, the method for calculating the current-carrying capacity of the soil direct-buried cable group fully considers the influence of mutual heat influence among the cables on the conductor temperature of the cables, so that the calculation of the conductor temperature of the multi-loop cable under the actual condition is more fit, and a more accurate calculation result can be obtained.
Example 2:
referring to fig. 3, the device for calculating current carrying capacity based on soil buried cable group provided in this embodiment includes a processor 31, a memory 32, and a computer program 33 stored in the memory 32 and executable on the processor 31, such as a program of a method for calculating current carrying capacity based on soil buried cable group. The processor 31 implements the steps of embodiment 1 described above, such as the steps shown in fig. 1, when executing the computer program 33.
Illustratively, the computer program 33 may be partitioned into one or more modules/units that are stored in the memory 32 and executed by the processor 31 to implement the present invention. The one or more modules/units may be a series of computer program instruction segments capable of performing specific functions, and the instruction segments are used for describing the execution process of the computer program 33 in the soil-based buried cable bulk current capacity calculation device.
The soil-based direct-buried cable cluster carrying capacity calculation device can be a desktop computer, a notebook computer, a palm computer, a cloud server and other calculation equipment. The soil-based buried cable bulk current capacity calculation device may include, but is not limited to, a processor 31 and a memory 32. It will be understood by those skilled in the art that fig. 3 is only an example of the device for calculating current carrying capacity based on the soil buried cable cluster, and does not constitute a limitation of the device for calculating current carrying capacity based on the soil buried cable cluster, and may include more or less components than those shown in the drawings, or combine some components, or different components, for example, the device for calculating current carrying capacity based on the soil buried cable cluster may further include an input-output device, a network access device, a bus, and the like.
The Processor 31 may be a Central Processing Unit (CPU), other general purpose Processor, a Digital Signal Processor (DSP), an Application Specific Integrated Circuit (ASIC), an off-the-shelf programmable Gate Array (FPGA) or other programmable logic device, discrete Gate or transistor logic device, discrete hardware component, or the like. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like.
The memory 32 may be an internal storage element of the soil-based buried cable cluster carrying capacity calculation device, such as a hard disk or a memory of the soil-based buried cable cluster carrying capacity calculation device. The memory 32 may also be an external storage device of the computation apparatus based on current carrying capacity of the soil-based buried cable cluster, for example, a plug-in hard disk, a Smart Memory Card (SMC), a Secure Digital (SD) Card, a Flash memory Card (Flash Card), or the like, which is provided on the computation apparatus based on current carrying capacity of the soil-based buried cable cluster. Further, the memory 32 may also include both an internal storage unit and an external storage device of the soil-based buried cable bulk-carrying capacity calculation apparatus. The memory 32 is used for storing the computer program and other programs and data required by the soil-based buried cable bulk-carrying capacity calculation device. The memory 32 may also be used to temporarily store data that has been output or is to be output.
Example 3:
the present embodiment provides a computer-readable storage medium, which stores a computer program that, when executed by a processor, implements the steps of the method of embodiment 1.
The computer-readable medium can be any means that can contain, store, communicate, propagate, or transport the program for use by or in connection with the instruction execution system, apparatus, or device. More specific examples (a non-exhaustive list) of the computer-readable medium would include the following: an electrical connection (electronic device) having one or more wires, a portable computer diskette (magnetic device), a Random Access Memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber device, and a portable compact disc read-only memory (CDROM). Further, the computer readable medium could even be paper or another suitable medium upon which the program is printed, as the program can be electronically captured, via for instance optical scanning of the paper or other medium, then compiled, interpreted or otherwise processed in a suitable manner if necessary, and then stored in a computer memory.
The above embodiments are only for illustrating the technical concept and features of the present invention, and the purpose thereof is to enable those skilled in the art to understand the contents of the present invention and implement the present invention accordingly, and not to limit the protection scope of the present invention accordingly. All equivalent changes or modifications made in accordance with the spirit of the present disclosure are intended to be covered by the scope of the present disclosure.

Claims (10)

1. A method for calculating the current carrying capacity of a soil direct-buried cable group is characterized by comprising the following steps:
s1, inputting structural parameters of the soil direct-buried laying cluster cable and thermophysical parameters of the cable body;
s2, calculating the temperature rise delta theta generated by the self-heating of the conductor of the p-th cable in the multi-loop calandria cable according to the cable body thermophysical parameterspp
S3, calculating the additional temperature rise delta theta of the pth cable caused by the heat action of the kth cablepk
S4, establishing a characterization relation matrix of the conductor temperature and the power loss of the soil direct-buried cable group based on the steps S1-S3;
and S5, calculating when the loss power of each cable in the cable group is preset according to the condition that the conductor is at the highest allowable operation temperature, and obtaining the conductor steady-state temperature state quantity output of the soil direct-buried cable group by utilizing the characterization relation matrix of the conductor temperature and the power loss through iterative calculation.
2. The method for calculating current-carrying capacity of soil buried cable cluster according to claim 1, wherein in step S1, the cable structure parameter includes an outer diameter D of the cablee
3. The method for calculating current-carrying capacity of soil buried cable group according to claim 2, wherein the cable body thermal physical property parameter comprises heat dissipation capacity W of a cable conductor at 90 ℃cDielectric loss W of insulating layer of cableiMetallic sheath shielding loss W of cablemThe ratio λ of the cable sheathing loss to the total loss of all conductors2Thermal insulation layer resistance T of cable1Thermal resistance T of inner liner of cable2Thermal resistance T of outer protective layer of cable3And cable external environment thermal resistance T4
4. The method for calculating current-carrying capacity of soil buried cable group according to claim 3, wherein in step S2, the conductor of the p-th cable is heated by itself to generate temperature rise Delta thetappCalculated by the following method:
Δθpp=appWpc+cp
Figure FDA0003378428530000011
in which the subscript p denotes the p-th cable, appRepresenting the relation between the power loss and the temperature rise generated by the pth cable body; c. CpRelated to the structural model of the p-th cable, namely cpScalar for model of ith cable.
5. The method for calculating current-carrying capacity of soil buried cable cluster according to claim 4, wherein in step S3, the additional temperature rise delta theta of the pth cablepkCalculated by the following method:
Δθpk=apkWkc
Figure FDA0003378428530000012
Δθp=ap1W1c+…appWpc+…apjWjc+…apnWnc+cp
in the formula (d)pkAnd d'pkRespectively the distance from the center of the p-th cable to the center of the k-th cable and the distance from the center of the p-th cable to the mirror image center of the k-th cable in the earth-air, rhoTIs the thermal resistivity of the soil.
6. The method for calculating current-carrying capacity of the soil buried cable cluster according to claim 5, wherein in step S4, the characterization relation matrix of the conductor temperature and the power loss of the soil buried cable cluster is:
Figure FDA0003378428530000021
Figure FDA0003378428530000022
in the formula, A is a matrix of the self-heating coefficient and the mutual-heating coefficient of the cable group, W is a matrix of the loss power of the cable group, C is a model parameter matrix of the cable group, and Delta theta is a temperature rise matrix of the cable group.
7. The method for calculating current-carrying capacity of a soil buried cable cluster according to claim 6, wherein in step S5, the obtaining of the conductor steady-state temperature state quantity output of the soil buried cable cluster by iterative calculation using the characterization relation matrix of the conductor temperature and the power loss includes:
and (3) calculating conductor temperature of each cable in the cable group by using the step S2 as an initial iteration value, calculating loss power of each cable in the cable group under the corresponding temperature condition by using the initial iteration value of the conductor temperature of the cable group, which is solved in the steps S3-S4, substituting the calculated loss power of the cable into the step S2 to calculate a second iteration result of the conductor temperature of each cable in the cable group, repeating the calculation process until the error between the conductor temperature results obtained by two adjacent iteration calculations meets the requirement, considering that iteration is converged, and outputting the last iteration result, namely the steady-state temperature state quantity of the soil direct-buried cable group under the consideration of the mutual heat effect.
8. The method for calculating current-carrying capacity of soil buried cable group according to claim 2, wherein the cable structure parameter and the cable body thermal property parameter are obtained according to the model of the cable and the load of each loop cable.
9. A soil-buried cable crowd-sourcing current capacity calculation apparatus comprising a memory, a processor and a computer program stored in the memory and executable on the processor, wherein the processor when executing the computer program implements the steps of the method of any of claims 1 to 8.
10. A computer-readable storage medium, in which a computer program is stored which, when being executed by a processor, carries out the steps of the method according to any one of claims 1 to 8.
CN202111424267.XA 2021-11-26 2021-11-26 Method and device for calculating current-carrying capacity of soil direct-buried cable group Pending CN114386219A (en)

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