CN112597672B - Arc temperature field calculation method for preformed armor rod port discharge phenomenon - Google Patents

Arc temperature field calculation method for preformed armor rod port discharge phenomenon Download PDF

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CN112597672B
CN112597672B CN202011327860.8A CN202011327860A CN112597672B CN 112597672 B CN112597672 B CN 112597672B CN 202011327860 A CN202011327860 A CN 202011327860A CN 112597672 B CN112597672 B CN 112597672B
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heat source
preformed armor
arc
contact point
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CN112597672A (en
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钟枚汕
刘刚
彭瑞东
郑文成
何启笛
郭德明
刘昭
林轩
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South China University of Technology SCUT
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    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • G06F30/20Design optimisation, verification or simulation
    • G06F30/23Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
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    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
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Abstract

The invention discloses an arc temperature field calculation method aiming at a preformed armor rod port discharge phenomenon, which comprises the following steps: constructing an electromagnetic-thermal simulation model of the preformed armor rod port, and calculating the electric field intensity and current density distribution of the preformed armor rod port by using finite element simulation; judging the discharge position of the preformed armor rods port according to the intensity of the electric field; applying an arc heat source according to the discharge position; calculating the difference value of the current of the contact point flowing through the contact point before and after the heating arc heat source; if the difference is less than or equal to the preset comparison threshold sigma 0 Determining the size of an arc heat source, and outputting the arc temperature distribution result of the preformed armor rod port at the moment; if the error is greater than the pre-specified comparison threshold sigma 0 And (3) reducing the difference value by loop iteration until the condition is met. The method can accurately calculate the arc temperature distribution in the discharging process of the preformed armor rods, and has very important significance for the broken wire research of the overhead ground wire.

Description

Arc temperature field calculation method for preformed armor rod port discharge phenomenon
Technical Field
The invention relates to the technical field of overhead ground wire breakage research, in particular to an arc temperature field calculation method aiming at a preformed armor rod port discharge phenomenon.
Background
The ground wire at the suspension clamp is typically wrapped around a preformed armor rod to enhance the mechanical properties of the ground wire. Experiments show that when the power transmission line has a ground fault, the power frequency short-circuit current flows through the preformed armor rod port, so that the air gap of the preformed armor rod port breaks down and a discharge phenomenon occurs, and the mechanical strength of the ground wire is reduced, melted and even broken due to the high temperature of an electric arc in the discharge process. Once the ground wire breakage accident occurs, the power transmission line may cause a ground fault due to the ground wire falling and mistaken collision, and the ground wire maintenance work also needs to consume a great deal of manpower and material resources.
Therefore, in order to ensure the reliability of the ground wire at the port of the preformed armor rods, it is necessary to calculate and analyze the arc temperature field of the discharging process of the port of the preformed armor rods under the action of the power frequency short-circuit current. The arc temperature field when the preformed armor rod port discharges is calculated, and joule heat generated by current flowing through the conductor and heat transfer of an arc heat source of the arc need to be considered simultaneously. At present, the method for calculating the temperature field of the preformed armor rod port under the action of the power frequency short-circuit current only calculates the Joule heat, and does not consider the arc heat source. Therefore, it is necessary to invent an arc temperature field calculation method for the pre-twisted wire port discharge phenomenon.
The method comprises the steps of firstly calculating the current of a preformed armor rod port contact point, and calculating the electric field intensity E of the preformed armor rod port. And judging a discharge position, and adding an arc heat source at the discharge position. The calculations show that discharge generally occurs in the air gap near the contact point. Therefore, the contact point current is set as the heat source current. After the arc heat source is applied, the high temperature of the arc heat source can change the conductivity of the overhead ground wire material, so that the current density distribution difference between the front and rear of the arc heat source is larger, the current of the contact point is different between the front and rear, and the arc heat source is inaccurate. Therefore, adjustments to the arc heat source are required. Updating the heat source current into a new contact point current, performing iterative calculation, and repeating the iterative calculation until the difference value of the contact point currents before and after the arc heat source is applied is controlled to be a preset comparison threshold sigma 0 And determining the size of an arc heat source, and outputting an arc temperature field of a preformed armor rod port under the arc heat source.
Disclosure of Invention
The invention aims to solve the problem of calculating the port temperature of a preformed armor rod in the prior artThe disadvantage and the deficiency of the arc heat source are overcome, and an arc temperature field calculation method aiming at the pre-twisted wire port discharge phenomenon is provided. The method comprises the steps of calculating the electric field intensity E of a preformed armor rod port, and judging the discharge position of the preformed armor rod port; setting the contact point current as a heat source current, and applying an arc heat source according to the discharge position; in order to determine the arc heat source, calculating the difference value of the current flowing through the contact point before and after the arc heat source is heated; if the difference is less than or equal to the preset comparison threshold sigma 0 Determining the size of an arc heat source, and outputting the arc temperature distribution result of the preformed armor rod port at the moment; if the error is greater than the pre-specified comparison threshold sigma 0 And (3) reducing the difference value by loop iteration until the condition is met. And finally determining the size of the arc heat source and outputting the calculation result of the preformed armor rod port temperature field. The method solves the problem of arc temperature calculation under the discharge condition of the preformed armor rods port, and the accuracy of the calculation result is higher.
The aim of the invention can be achieved by adopting the following technical scheme:
an arc temperature field calculation method aiming at a preformed armor rod port discharge phenomenon comprises the following steps:
s1, constructing a three-dimensional geometric model of a preformed armor rod port, constructing an electromagnetic-thermal simulation model of the preformed armor rod port, inputting power frequency short-circuit current, calculating the electric field strength E of an air gap of the preformed armor rod port by adopting an electromagnetic field and temperature field module simulated by software COMSOL Multiphysics finite element, and calculating the contact point current I k i I=1, 2 … … n, i representing the i-th iteration, n being the total number of iterations;
s2, judging the discharge position of the preformed armor rods according to the distribution condition of the electric field intensity E of the air gap of the preformed armor rods;
s3, applying an arc heat source at the determined discharge position by adopting a heat source formula, and applying a heat source current I q Set as contact point current I k i Recalculating an electromagnetic-thermal simulation model of the preformed armor rods to obtain the current I of the contact point after the arc heat source is applied k i+1
S4, calculating the current I flowing through the contact point k i And I k i+1 Determining whether the difference is smaller than a predetermined comparison threshold sigma 0 If the difference is less than or equal to the preset comparison threshold sigma 0 Determining the size of the arc heat source, outputting the temperature field calculation result of the preformed armor rod port at the moment, and if the difference value is larger than a preset comparison threshold sigma 0 Returning to step S3 for iterative calculation until the difference is smaller than a preset comparison threshold sigma 0
Further, the step S1 is as follows:
constructing a preformed armor rod port three-dimensional geometric model, wherein the middle of the model is a ground wire, the preformed armor rods are spirally wound on the outside of the model, K strands are totally larger than or equal to 7, wherein the central strand is a cylinder, the other strands are spirally wound on the central strand, the radius of each strand is 1.5mm, and the screw pitch of the spiral is 80mm; the preformed armor rods are L strands, L is more than or equal to 12, the radius of the strands is 1.5mm, and the pitch of the spiral is 130mm.
Constructing an electromagnetic-thermal simulation model of a preformed armor rod port, inputting power frequency short-circuit current into the built geometric model of the preformed armor rod port, calculating by using an electromagnetic field module and a temperature field module of finite element simulation, calculating the electric field intensity E of an air gap of the preformed armor rod port, and calculating the current I of a contact point flowing through the contact point k i I=1 at the first iteration.
Further, in the step S2, the discharge position is determined according to the electric field intensity distribution of the preformed armor rods, and the electric field intensity is maximized Max Critical electric field strength E with air breakdown B In comparison, if E Max >E B The air gap near the contact point is determined to be the discharge position.
Further, in the step S3, an arc heat source is added to the determined discharge position, the ground surface is selected as a boundary heat source, the arc heat source center point is the contact point center position, and the arc heat source q r Satisfies the following formula:
in the formula, r represents the coordinate of the calculation position of the arc heat source, and r b For the total heating radius of the arc heat source, the arc voltage U takes a typical value of 30V, and is obtained through experiments or through empirical value table lookup, and the variable for controlling the heat source is the heat source current I q
By applying a heat source current I q Set as contact point current I k i Order I q =I k i Heat source q r Satisfies the following formula:
after the heat source is applied, recalculating and constructing an electromagnetic-thermal simulation model of the preformed armor rod port to obtain the current I flowing through the contact point after the arc heat source is applied k i+1
Further, in the step S4, the contact point current I is measured k i And I k i+1 Performing difference calculation to obtain a difference sigma:
judging whether the difference value sigma is within a preset comparison threshold sigma 0 In the range, if:
σ≤σ 0
and determining the size of the arc heat source, and outputting the calculation result of the arc temperature field of the preformed armor rod port under the arc heat source.
Further, the previously designated comparison threshold sigma 0 The value is 4-5%.
Further, in the step S4, if not, let i=i+1, use the new contact point current I k i+1 Instead of the original contact point current I k i Becomes a new heat source current I q Returning to the step S3 for the next iteration, and gradually reducing the difference value sigma by the loop iteration until sigma is less than or equal to sigma 0 Outputting the electric arc temperature field of the preformed armor rod port under the electric arc heat source.
Compared with the prior art, the invention has the following advantages and effects:
1. at present, the effect of an arc heat source is not considered in the calculation of the temperature field of the preformed armor rods under the effect of the power frequency short-circuit current. The invention determines the discharge position by calculating the electric field intensity E, and adds an arc heat source at the discharge position;
2. after the arc heat source is applied, the high temperature of the arc heat source can change the conductivity of the overhead ground wire material, so that the current of a contact point is different before and after the contact point, and the initial arc heat source is inaccurate. According to the invention, the difference value of the current of the contact point before and after the arc heat source is applied is gradually reduced through cyclic iteration, the size of the arc heat source is finally determined, and the arc temperature field distribution under the combined action of the joule heat and the arc heat is obtained.
Drawings
FIG. 1 is a calculation flow chart of an arc temperature field calculation method for a preformed armor rod port discharge phenomenon according to the present disclosure;
fig. 2 is a model diagram of a pre-twisted wire port.
Detailed Description
For the purpose of making the objects, technical solutions and advantages of the embodiments of the present invention more apparent, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention, and it is apparent that the described embodiments are some embodiments of the present invention, but not all embodiments of the present invention. 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.
Examples
The embodiment discloses an arc temperature field calculation method aiming at a preformed armor rod port discharge phenomenon. At present, the method for calculating the temperature field of the preformed armor rod port under the action of the power frequency short-circuit current does not consider the action of an arc heat source, and the method for calculating the temperature field of the arc aiming at the discharge phenomenon of the preformed armor rod port is not invented yet.
In the embodiment, an electromagnetic-thermal simulation model of a preformed armor rod port is built, the electric field intensity E of the preformed armor rod port is calculated, and the discharge position is determined; dividing regions according to effective heating radius in simulation modelAdding an arc heat source; the first calculation, the heat source current of the arc heat source is set as the contact point current; adjusting an arc heat source, and calculating the difference value of the currents flowing through the contact points before and after the arc heat source is heated; if the difference is less than or equal to the preset comparison threshold sigma 0 Determining the size of an arc heat source, and outputting the arc temperature distribution result of the preformed armor rod port at the moment; if the error is greater than the pre-specified comparison threshold sigma 0 The difference value is reduced through cyclic iteration until the condition is met; and gradually reducing the difference value of the current of the contact point before and after the application of the arc heat source through cyclic iteration, and finally determining the size of the arc heat source to obtain the electric arc temperature field distribution of the preformed armor rod port under the combined action of the Joule heat and the electric arc heat.
The method comprises the following specific steps:
s1, establishing a preformed armor rod port geometric model, wherein the middle of the model is a ground wire, and the preformed armor rods are spirally wound outside the model. The ground wire is K strands, K is more than or equal to 7, wherein the central strand is a cylinder, other strands are spirally wound around the central strand, the radius of each strand is 1.5mm, and the pitch of the spiral is 80mm. The preformed armor rods are L strands, L is more than or equal to 12, the radius of the strands is 1.5mm, and the pitch of the spiral is 130mm. Constructing an electromagnetic-thermal simulation model of a preformed armor rod port, inputting power frequency short-circuit current into the built geometric model of the preformed armor rod port, calculating by using an electromagnetic field module and a temperature field module of finite element simulation, calculating the electric field intensity E of an air gap of the preformed armor rod port, and calculating the current I of a contact point flowing through the contact point k i I=1, 2 … … n, i represents the i-th iteration, n is the total number of iterations, which is the first iteration at this time, i=1.
S2, judging the discharge position according to the electric field intensity distribution condition of the preformed armor rods. Maximum E of electric field intensity Max Critical electric field strength E with air breakdown B In comparison, if E Max >E B The air gap near the contact point is determined to be the discharge position.
S3, adding an arc heat source to the judged discharge position, selecting the surface of the ground wire as a boundary heat source, and taking the central point of the arc heat source as the central position of the contact point. Arc heat source q r Satisfies the following formula:
in the formula, r represents the coordinate of the calculation position of the arc heat source, and r b For the total heating radius of the arc heat source, the arc voltage U takes a typical value of 30V, and is obtained through experiments or through empirical value table lookup, and the variable for controlling the heat source is the heat source current I q
By applying a heat source current I q Set as contact point current I k i Namely, life I q =I k i . Heat source q r Satisfies the following formula:
after the heat source is applied, the current I of the contact point after the arc heat source is applied is recalculated k i+1 I=1, 2 … … n, i representing the i-th iteration, n being the total number of iterations.
S4, the current of the contact point is I k i And I k i+1 Performing difference calculation to obtain a difference sigma:
previously assigned comparison threshold sigma 0 To set to 5%, it is determined whether the difference value sigma is within a predetermined comparison threshold sigma 0 In the range, if:
σ≤σ 0
and determining the size of the arc heat source, and outputting the calculation result of the arc temperature field of the preformed armor rod port under the arc heat source.
If not, let i=i+1, use the new contact point current I k i+1 Instead of the original contact point current I k i Becomes a new heat source current I q . Returning to the step S3 to perform the next iteration loop iteration to gradually reduce the difference value sigma until sigma is less than or equal to sigma 0 Outputting the preformed armor rod port electricity under the arc heat sourceAn arc temperature field.
The above examples are preferred embodiments of the present invention, but the embodiments of the present invention are not limited to the above examples, and any other changes, modifications, substitutions, combinations, and simplifications that do not depart from the spirit and principle of the present invention should be made in the equivalent manner, and the embodiments are included in the protection scope of the present invention.

Claims (3)

1. An arc temperature field calculation method aiming at a preformed armor rod port discharge phenomenon is characterized by comprising the following steps:
s1, constructing a three-dimensional geometric model of a preformed armor rod port, constructing an electromagnetic-thermal simulation model of the preformed armor rod port, inputting power frequency short-circuit current, calculating the electric field strength E of an air gap of the preformed armor rod port by adopting an electromagnetic field and temperature field module simulated by software COMSOL Multiphysics finite element, and calculating the contact point current I k i I=1, 2 … … n, i representing the i-th iteration, n being the total number of iterations; the process is as follows:
constructing a preformed armor rod port three-dimensional geometric model, wherein the middle of the model is a ground wire, the preformed armor rods are spirally wound on the outside, K strands are totally provided for the ground wire, K is more than or equal to 7, the center strand is a cylinder, other strands are spirally wound on the center strand, L strands are totally provided for the preformed armor rods, and L is more than or equal to 12;
constructing an electromagnetic-thermal simulation model of a preformed armor rod port, inputting power frequency short-circuit current into the built geometric model of the preformed armor rod port, calculating by using an electromagnetic field module and a temperature field module of finite element simulation, calculating the electric field intensity E of an air gap of the preformed armor rod port, and calculating the current I of a contact point flowing through the contact point k i I=1 at the first iteration;
s2, judging the discharge position of the preformed armor rods according to the distribution condition of the electric field intensity E of the air gap of the preformed armor rods; wherein, according to the electric field intensity distribution condition of the preformed armor rods, the discharge position is judged, and the electric field intensity is maximized Max Critical electric field strength E with air breakdown B In comparison, if E Max >E B Judging the air gap near the contact point as a discharge position;
s3, applying an arc heat source at the determined discharge position by adopting a heat source formula, and applying a heat source current I q Set as contact point current I k i Recalculating an electromagnetic-thermal simulation model of the preformed armor rods to obtain the current I of the contact point after the arc heat source is applied k i+1 Wherein, arc heat source is added at the determined discharge position, the ground wire surface is selected as boundary heat source, the arc heat source central point is the contact point central position, and the arc heat source q r Satisfies the following formula:
in the formula, r represents the coordinate of the calculation position of the arc heat source, and r b For the total heating radius of the arc heat source, the arc voltage U takes a typical value of 30V, and is obtained through experiments or through empirical value table lookup, and the variable for controlling the heat source is the heat source current I q
By applying a heat source current I q Set as contact point current I k i Order I q =I k i Heat source q r Satisfies the following formula:
after the heat source is applied, recalculating and constructing an electromagnetic-thermal simulation model of the preformed armor rod port to obtain the current I flowing through the contact point after the arc heat source is applied k i+1
S4, calculating the current I flowing through the contact point k i And I k i+1 Determining whether the difference is smaller than a predetermined comparison threshold sigma 0 If the difference is less than or equal to the preset comparison threshold sigma 0 Determining the size of the arc heat source, outputting the temperature field calculation result of the preformed armor rod port at the moment, and if the difference value is larger than a preset comparison threshold sigma 0 Returning to step S3 for iterative calculation until the difference is smaller than a preset comparison threshold sigma 0 Wherein, the method comprises the steps of, wherein,if not, let i=i+1, use the new contact point current I k i+1 Instead of the original contact point current I k i Becomes a new heat source current I q Returning to the step S3 for the next iteration, and gradually reducing the difference value sigma by the loop iteration until sigma is less than or equal to sigma 0 Outputting the electric arc temperature field of the preformed armor rod port under the electric arc heat source.
2. The method of claim 1, wherein in step S4, the contact point current I is calculated by k i And I k i+1 Performing difference calculation to obtain a difference sigma:
judging whether the difference value sigma is within a preset comparison threshold sigma 0 In the range, if:
σ≤σ 0
and determining the size of the arc heat source, and outputting the calculation result of the arc temperature field of the preformed armor rod port under the arc heat source.
3. The method of claim 1, wherein the pre-determined comparison threshold value σ 0 The value is 4-5%.
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