CN110360978B - Cable sectional area calculation method based on direct current load distribution - Google Patents

Cable sectional area calculation method based on direct current load distribution Download PDF

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CN110360978B
CN110360978B CN201910558113.6A CN201910558113A CN110360978B CN 110360978 B CN110360978 B CN 110360978B CN 201910558113 A CN201910558113 A CN 201910558113A CN 110360978 B CN110360978 B CN 110360978B
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sectional area
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李福忠
叶阳
张勇男
于鹏
岳建平
王震
王晶磊
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Shandong Sanjing Lighting Science & Technology Co ltd
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Abstract

The invention provides a cable sectional area calculation method based on direct current load distribution, which comprises the following steps of: presetting the current-carrying capacity, voltage drop, line loss and short-circuit current threshold of the cable according to the requirements of a cable application scene; inputting direct current power supply parameters; calculating the resistance R of the cable; calculating and obtaining line current and voltage drop on the cable according to the power supply parameters, and calculating the proportion of the voltage drop of the cable in rated voltage; calculating the total loss of the line; calculating the proportion of the cable loss to the output power; and calculating the sectional area A of the cable according to a preset voltage drop and a line loss threshold value. Therefore, the cross-sectional area of the required cable can be accurately calculated.

Description

Cable sectional area calculation method based on direct current load distribution
Technical Field
The invention relates to the technical field of cable calculation processing, in particular to a method for calculating the cross section area of a cable based on direct-current load distribution.
Background
In the installation and modification of lighting circuits, the selection of wires/cables is mainly based on four types: and the current-carrying capacity is allowed, the voltage loss is allowed, the line loss and the short circuit at the tail end of the line are ensured, and the relay protection can normally act. According to different power line types, one or two of the above selection criteria are generally used as criteria, and the other is used as a verification item. Typically in low voltage (typically 220V) lines, the lighting line selects the section of the wire/cable with reference to the line allowing voltage loss; the power circuit selects the section of the wire/cable according to the allowable current-carrying capacity of the conductor (related to the long-term allowable temperature of the conductor, the heat dissipation condition and the like), so that a method with accurate calculation is needed in practical application.
Disclosure of Invention
In view of the above-mentioned drawbacks, an object of the present invention is to provide a method for calculating a cable cross-sectional area based on dc load distribution, which can accurately calculate a required cable cross-sectional area.
In order to achieve the above object, the present invention provides a cable cross-sectional area calculation method based on load distribution, including the following steps:
presetting the current-carrying capacity, voltage drop, line loss and short-circuit current threshold of the cable according to the requirements of a cable application scene;
inputting direct current power supply parameters, wherein the power supply parameters comprise: the positive cable and the negative cable are L in length, and the resistivity of each cable is rho; a nominal value Vdc of the average value of the direct voltage; a total output power P; efficiency of electrical appliance is Effdc(ii) a n loads, wherein the output power of each load is P0, and the distance between each load is L/n;
calculating the resistance R of the cable;
calculating and obtaining line current and voltage drop on the cable according to the power supply parameters, wherein the current of each load is
Figure BDA0002107440660000021
The first section of line current from the power supply side is I1, the line current on the last section of load is In, and the current relationship between the two adjacent sections of lines is as follows: i isk＝Ik+1+I0(ii) a The line tail end current is: i isn＝I0(ii) a The line starting end current is:
Figure BDA0002107440660000022
the pressure drop for each section of line (considering both sections) is:
Figure BDA0002107440660000023
the total line pressure drop is:
Figure BDA0002107440660000024
calculating the ratio of the voltage drop of the cable to the rated voltage:
Figure BDA0002107440660000031
the loss of each section of line (considering the positive and negative sections) is:
Figure BDA0002107440660000032
calculating the total loss of the line as follows:
Figure BDA0002107440660000033
the proportion of the cable loss to the output power is calculated as follows:
Figure BDA0002107440660000034
and calculating the sectional area A of the cable according to a preset voltage drop and a line loss threshold value.
According to the cable sectional area calculating method based on load distribution of the present invention, the method further comprises:
and checking whether the current-carrying capacity and the short-circuit current threshold are met or not according to the calculated sectional area A of the cable.
The invention provides a cable sectional area calculation method based on direct current load distribution, which comprises the following steps of: presetting the current-carrying capacity, voltage drop, line loss and short-circuit current threshold of the cable according to the requirements of a cable application scene; inputting direct current power supply parameters; calculating the resistance R of the cable; calculating and obtaining line current and voltage drop on the cable according to the power supply parameters, and calculating the proportion of the voltage drop of the cable in rated voltage; calculating the total loss of the line; calculating the proportion of the cable loss to the output power; and calculating the sectional area A of the cable according to a preset voltage drop and a line loss threshold value. Therefore, the cross-sectional area of the required cable can be accurately calculated.
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FIG. 1 is a flow chart of a method of the present invention;
fig. 2 is a schematic diagram of a dc application scenario according to an embodiment of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention is described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the invention and are not intended to limit the invention.
Referring to fig. 1, the invention provides a method for calculating a cable cross-sectional area based on load distribution, where the load distribution refers to an application scenario where all loads are uniformly distributed in a power supply line, as shown in fig. 2. The method comprises the following steps:
step S101, presetting the current-carrying capacity, voltage drop, line loss and short-circuit current threshold of the cable according to the requirements of the cable application scene. For example, in one embodiment, the specific application requirements are: the carrying capacity is not more than 4A/mm2(ii) a The voltage drop does not exceed 10% of the rated voltage; the line loss does not exceed 10% of the output power; and when the tail end of the line is short-circuited, the relay protection can normally act (the short-circuit current is more than 5 times of the rated current of the line breaker).
Step S102, inputting direct current power supply parameters, wherein the power supply parameters comprise: the positive cable and the negative cable are L in length, and the resistivity of each cable is rho; a nominal value Vdc of the average value of the direct voltage; a total output power P; efficiency of electrical appliance is Effdc(ii) a n loads, wherein the output power of each load is P0, and the distance between each load is L/n;
step S103, calculating the resistance R of the cable;
step S104, calculating and obtaining line current and voltage drop on the cable according to the power supply parameters, wherein the current of each load is
Figure BDA0002107440660000051
The first section of line current from the power supply side is I1, the line current on the last section of load is In, and the current relationship between the two adjacent sections of lines is as follows:
Ik＝Ik+1+I0(ii) a The line tail end current is: i isn＝I0(ii) a The line starting end current is:
Figure BDA0002107440660000052
the pressure drop for each section of line (considering both sections) is:
Figure BDA0002107440660000053
the total line pressure drop is:
Figure BDA0002107440660000054
step S105, calculating the ratio of the cable voltage drop to the rated voltage:
Figure BDA0002107440660000061
the loss of each section of line (considering the positive and negative sections) is:
Figure BDA0002107440660000062
step S106, calculating the total loss of the line as follows:
Figure BDA0002107440660000063
step S107, calculating the ratio of the cable loss to the output power as follows:
Figure BDA0002107440660000064
and step S108, calculating the sectional area A of the cable according to a preset voltage drop and a line loss threshold value.
Specifically, only a in the above calculation formulas is an unknown quantity, and different values of the sectional area a can be obtained by comparison according to a preset threshold. For example, the sectional area A1 is obtained according to the threshold value of the voltage drop, and the sectional area A2 is obtained according to the calculation of the cable loss.
In summary, the present invention provides a method for calculating a cable cross-sectional area based on dc load distribution, including the following steps: presetting the current-carrying capacity, voltage drop, line loss and short-circuit current threshold of the cable according to the requirements of a cable application scene; inputting direct current power supply parameters; calculating the resistance R of the cable; calculating and obtaining line current and voltage drop on the cable according to the power supply parameters, and calculating the proportion of the voltage drop of the cable in rated voltage; calculating the total loss of the line; calculating the proportion of the cable loss to the output power; and calculating the sectional area A of the cable according to a preset voltage drop and a line loss threshold value. Therefore, the cross-sectional area of the required cable can be accurately calculated.
The present invention may be embodied in other specific forms without departing from the spirit or essential attributes thereof, and it should be understood that various changes and modifications can be effected therein by one skilled in the art without departing from the spirit and scope of the invention as defined in the appended claims.

Claims (1)

1. A cable sectional area calculation method based on direct current load distribution is characterized by comprising the following steps:
presetting the current-carrying capacity, voltage drop, line loss and short-circuit current threshold of the cable according to the requirements of a cable application scene;
inputting direct current power supply parameters, wherein the power supply parameters comprise: the positive cable and the negative cable are L in length, and the resistivity of each cable is rho; a nominal value Vdc of the average value of the direct voltage; a total output power P; efficiency of electrical appliance is Effdc(ii) a n loads, wherein the output power of each load is P0, and the distance between each load is L/n;
calculating the resistance R of the cable;
calculating and obtaining line current and voltage drop on the cable according to the power supply parameters, wherein the current of each load is
Figure FDA0002882632310000011
The first section of line current from the power supply side is I1, the line current on the last section of load is In, and the current relationship between the two adjacent sections of lines is as follows: i isk＝Ik+1+I0(ii) a The line tail end current is: i isn＝I0(ii) a The line starting end current is:
Figure FDA0002882632310000012
the pressure drop for each section of line (considering both sections) is:
Figure FDA0002882632310000013
the total line pressure drop is:
Figure FDA0002882632310000021
calculating the ratio of the voltage drop of the cable to the rated voltage:
Figure FDA0002882632310000022
the loss of each section of line (considering the positive and negative sections) is:
Figure FDA0002882632310000023
calculating the total loss of the line as follows:
Figure FDA0002882632310000031
the proportion of the cable loss to the output power is calculated as follows:
Figure FDA0002882632310000032
calculating the sectional area A of the cable according to a preset voltage drop and a line loss threshold;
and checking whether the current-carrying capacity and the short-circuit current threshold are met or not according to the calculated sectional area A of the cable.
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Denomination of invention: Calculation method of cable cross-sectional area based on DC load distribution

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