CN102590594A - Transient state thermal circuit model-based method and device for determining permissible current of overhead conductor - Google Patents

Transient state thermal circuit model-based method and device for determining permissible current of overhead conductor Download PDF

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CN102590594A
CN102590594A CN2012100595075A CN201210059507A CN102590594A CN 102590594 A CN102590594 A CN 102590594A CN 2012100595075 A CN2012100595075 A CN 2012100595075A CN 201210059507 A CN201210059507 A CN 201210059507A CN 102590594 A CN102590594 A CN 102590594A
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conductor
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CN102590594B (en
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张鸣
刘刚
阮班义
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South China University of Technology SCUT
Foshan Power Supply Bureau of Guangdong Power Grid Corp
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South China University of Technology SCUT
Foshan Power Supply Bureau of Guangdong Power Grid Corp
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Abstract

The invention discloses a transient state thermal circuit model-based method and device for determining a permissible current of an overhead conductor. The method comprises the steps of: firstly, loading a current to the overhead conductor, measuring the temperature of the conductor and an environment temperature of an environment where the conductor is in in real time; if wanting to know the maximum permissible current at some moment, calculating an AC resistance; by adopting a special formula, sequentially calculating the AC resistance and an environment thermal resistance of a moment to be detected, and the maximum permissible current when the temperature of the conductor reaches 70 DEG C under the outside environment of the moment to be detected; and comparing the current current and the maximum permissible current to carry out corresponding compatibility on the overhead conductor, and providing basis for load transfer, scheduling plan and the like, wherein the formula for calculating the environment thermal resistance and the maximum permissible current is based on a transient state thermal circuit model, the maximum permissible current can be obtained through measuring the temperature of the conductor and the environment temperature of the environment where the conductor is in and through simple calculation, and proved by experiments, result errors are in a permissible range.

Description

Allow definite method and apparatus of electric current based on the aerial condutor of Transient Thermal Circuit model
Technical field
The present invention relates to high voltage overhead technology of transmission of electricity field, particularly a kind of definite method and apparatus that allows electric current based on the aerial condutor of Transient Thermal Circuit model.
Background technology
When not passing through electric current in the lead, its temperature equates with ambient temperature; During through electric current, resistance is converted into heat energy with electric energy, and conductor temperature is higher than environment temperature, adds the influence at convection heat transfer, heat radiation and sunshine etc., is in the dynamic changing process.When the transmission line of electricity load continues to increase, overheating fault will appear in circuit, take place in order to prevent this phenomenon, the notion of maximum allowed current occur.
The allowable temperature of regulation steel-cored aluminium strand is+70 ℃ (big leap can adopt+90 ℃) in China's " 110-500kV aerial power transmission line designing technique rules ".Therefore, maximum allowed current promptly refer to aerial condutor in other words transmission line of electricity operate in the weather environment, conductor temperature reaches+electric current 70 ℃ the time.
Understand the maximum allowed current of aerial condutor, help fully excavating the ability to transmit electricity of existing transmission line of electricity, for the scheduling of traffic department, line maintenance, newly-built layout of roads etc. provide foundation.But the parameter that definite method of existing maximum allowed current need be measured, the factor of consideration are too many, like wind speed, atmospheric density, diameter of wire, the effective incident angle of sunshine etc., make and measure that input cost is high, computing is complicated, result reliability is not high.
Summary of the invention
The present invention is directed to the problems referred to above, propose definite method and apparatus that a kind of aerial condutor based on the Transient Thermal Circuit model allows electric current,, simplify calculating process to reduce monitoring variable.
The aerial condutor that the present invention is based on the Transient Thermal Circuit model allows definite method of electric current, comprises step:
To aerial condutor loading current I;
Monitor conductor temperature T in real time 1Reach the lead environment temperature T of specified distance on every side 2
Calculate the AC resistance R in the moment to be measured c, according to said I, T 1, T 2, R c, adopt the environment thermal resistance R in the computes moment to be measured x:
R x = T 1 - T 2 I 2 R c - C x dT 1 dt
According to said T 1, T 2, R c, R x, adopt following formula, calculate the maximum allowed current I of aerial condutor under the moment external environment to be measured Max:
I max = 70 - T 2 R x R c
Preferably, adopt the said AC resistance of computes:
R c＝ζI τR 20[1+α(T 1-20)]
In the formula, ζ representes the constant relevant with the lead standard section with τ, and α is a temperature coefficient, R 20Direct current resistance during 20 ℃ of conductor temperatures of expression.
Preferably, specific range is specially apart from the optional position of conductive line surfaces 30cm around the said lead.
Preferably, said conductor temperature is the conductive line surfaces temperature.
The aerial condutor that the present invention is based on the Transient Thermal Circuit model allows definite device of electric current, comprising:
The electric current load-on module is used for to aerial condutor loading current I;
The temperature monitoring module is used for monitoring in real time conductor temperature T 1Reach the lead environment temperature T of specified distance on every side 2
Environment thermal resistance determination module is used to calculate the AC resistance R in the moment to be measured c, according to said I, T 1, T 2, R c, adopt the environment thermal resistance R in the computes moment to be measured x:
R x = T 1 - T 2 I 2 R c - C x dT 1 dt
The maximum allowed current determination module is used for according to said T 1, T 2, R c, R x, adopt following formula, calculate the maximum allowed current I of aerial condutor under the moment external environment to be measured Max:
I max = 70 - T 2 R x R c
Preferably, said environment thermal resistance determination module also is used to adopt the said AC resistance of computes:
R c＝ζI τR 20[1+α(T 1-20)]
In the formula, ζ representes the constant relevant with the lead standard section with τ, and α is a temperature coefficient, R 20Direct current resistance during 20 ℃ of conductor temperatures of expression.
Preferably, specific range is specially apart from the optional position of conductive line surfaces 30cm around the said lead.
Preferably, said conductor temperature is the conductive line surfaces temperature.
The aerial condutor that the present invention is based on the Transient Thermal Circuit model allows definite method of electric current; At first to the aerial condutor loading current; Monitor the environment temperature of conductor temperature and lead environment of living in real time, and calculate the AC resistance in the moment to be measured, according to electric current, conductor temperature, environment temperature and AC resistance; Adopt specific formula to calculate the environment thermal resistance in the moment to be measured; According to conductor temperature, environment temperature, AC resistance and environment thermal resistance, adopt specific formula to calculate under the moment external environment to be measured again, conductor temperature reaches 70 maximum allowed currents when spending.The real-time current and the maximum allowed current that contrast the moment to be measured can carry out corresponding increase-volume to moment aerial condutor to be measured, for load transfer, operation plan etc. provide foundation.Wherein, The formula of computing environment thermal resistance and maximum allowed current is based upon on the Transient Thermal Circuit model basis, only needs to measure conductor temperature and two parameters of lead environment temperature of living in and through simple calculations, can draw maximum allowed current; Empirical tests, result's error is in allowed band.In addition, it is and the corresponding device of above-mentioned definite method that beneficial effect repeats no more that the aerial condutor that the present invention is based on the Transient Thermal Circuit model allows definite device of electric current.
Description of drawings
Fig. 1 is the physical model synoptic diagram of only monitoring conductor temperature;
Fig. 2 is the physical model synoptic diagram of monitoring conductor temperature and lead environment temperature of living in;
Fig. 3 is the corresponding hot road model synoptic diagram of Fig. 1;
Fig. 4 is the corresponding hot road model synoptic diagram of Fig. 2;
Fig. 5 is that aerial condutor of the present invention allows electric current to confirm the model basis-Transient Thermal Circuit model synoptic diagram of method;
Fig. 6 is the schematic flow sheet that the aerial condutor that the present invention is based on the Transient Thermal Circuit model allows definite method of electric current;
Fig. 7 is the structural representation that the aerial condutor that the present invention is based on the Transient Thermal Circuit model allows definite device of electric current;
Fig. 8 is the confirmatory experiment device synoptic diagram that the aerial condutor that the present invention is based on the Transient Thermal Circuit model allows definite method of electric current;
Fig. 9 is environment temperature in the 24h, humidity, wind speed, solar radiation, the measured value of conductor temperature and the calculated value synoptic diagram of maximum allowed current.
Embodiment
In order to realize simplifying the purpose of computing, the inventor has at first made up the Transient Thermal Circuit model of aerial condutor, thereby derives the formula of maximum allowed current.Begin illustrated in detail the present invention from modelling below.
Can know that by the lead thermal balance equation heat of lead absorption comprises heating, the heat absorption at sunshine of lead self, heat radiation comprises convection heat transfer and heat radiation.By the relation one to one between the temperature difference in voltage, resistance, electric capacity and the hot road in the electric field, thermal resistance, the thermal capacitance, can be that core is set up corresponding hot road model with the lead.
When only monitoring conductive line surfaces temperature T 1, the physical model of lead is as shown in Figure 1, and the physical model of the environment temperature T2 around monitoring conductive line surfaces temperature T 1 and the lead is as shown in Figure 2.Corresponding to Fig. 1,2 physical model, can be able to aerial condutor is the hot road model at center, like Fig. 3, shown in 4.
Among Fig. 3,4, F (t) for sunshine heat absorption equivalent heat flux, this part changed with weather condition, geographic position, time, but constant for thinking in a certain section time range of the lead of a certain particular location.T 1, T 2Be respectively conductor temperature, lead environment temperature of living in, R xFor lead arrives T 2The thermal resistance of monitoring point, C X2Be the thermal capacitance of steel-cored aluminium strand aluminium, C X1Thermal capacitance for the steel-cored aluminium strand steel core.R n, C nBe environment T 2Thermal resistance, thermal capacitance beyond the point, Φ c=I 2R cBe lead self-heating amount, R cBe conductor temperature T 1The time AC resistance.
Can know by 3,4 contrasts, because Fig. 3 has only a conductive line surfaces temperature T 1, can't find the solution R according to model xSimultaneously, because at certain hour scope inside conductor ambient temperature T 2Can think constant, according to measuring T 1, T 22 temperature, Fig. 4 model can be found the solution, so the hot road model that the present invention has selected to monitor 2 temperature is studied.
Monitoring point T 2The distance of distance of wire should not be too closely or is too far away, too closely then receives lead self Influence of Temperature, too far is not enough to characterize the environment temperature of lead environment of living in again.As a preferred embodiment, get the aerial condutor of unit length and the T at 30cm place, distance of wire surface 2The monitoring point is a research object.For lead LGJ-240/30, the concentrated thermal capacitance of the airequivalent of selected location is 35 times of lead thermal capacitance, so in the present invention, the environment thermal capacitance can be ignored.
Both reach mobile equilibrium when the heat absorption of lead and heat radiation, also are that conductor temperature is basicly stable, and this moment, the lead thermal capacitance was inoperative.Because, sunshine heat absorption to the influence of current-carrying capacity only in 1.2%, so ignore at this.Consider that perhaps when not having sunshine, F (t) is zero, this moment, the Transient Thermal Circuit model of correspondence was as shown in Figure 5.
On model shown in Figure 5 basis,, can get the formula of environment thermal resistance and maximum allowed current according to the basic theories of thermal conduction study:
R x = T 1 - T 2 I 2 R c - C x dT 1 dt - - - ( 1 )
I max = 70 - T 2 R x R c - - - ( 2 )
70 ℃ of in the formula (2) 70 expressions.
Above-mentioned two formula have been arranged, can calculate maximum allowed current.The aerial condutor that the present invention is based on the Transient Thermal Circuit model allows definite method of electric current, and is as shown in Figure 6, carries out according to following steps:
Step 1, to aerial condutor loading current I;
Step 2, monitor conductor temperature T in real time 1Reach the lead environment temperature T of specified distance on every side 2
The AC resistance R in step 3, the calculating moment to be measured c, according to said I, T 1, T 2, R c, employing formula (1) is calculated the environment thermal resistance R in the moment to be measured x
Step 4, according to said T 1, T 2, R c, R x, employing formula (2) is calculated the maximum allowed current I of aerial condutor under the moment external environment to be measured Max
The aerial condutor that the present invention is based on the Transient Thermal Circuit model allows definite device of electric current to be the device corresponding with said method, and is as shown in Figure 7, comprising:
The electric current load-on module is used for to aerial condutor loading current I;
The temperature monitoring module is used for monitoring in real time conductor temperature T 1Reach the lead environment temperature T of specified distance on every side 2
Environment thermal resistance determination module is used to calculate the AC resistance R in the moment to be measured c, according to said I, T 1, T 2, R c, (1) formula of employing is calculated the environment thermal resistance R in the moment to be measured x:
The maximum allowed current determination module is used for according to said T 1, T 2, R c, R x, adopt (2) formula, calculate the maximum allowed current I of aerial condutor under the moment external environment to be measured Max
As shown in Figure 7; The annexation of this definite each module of device is following: environment thermal resistance determination module links to each other with electric current load-on module, temperature monitoring module, maximum allowed current determination module respectively, and the maximum allowed current determination module links to each other with the temperature monitoring module with the electric current load-on module respectively again.Function by each module can know that electric current load-on module, temperature monitoring module, environment thermal resistance determination module and maximum allowed current determination module are corresponding with step 1, step 2, step 3 and the step 4 of above-mentioned definite method respectively.Below above-mentioned definite method be that explanation that example is done is equally applicable to this and confirms device.
Because the computing more complicated of AC resistance, Morgan equation not only Consideration is many, and exists than mistake.Can know that according to prior art alternating current-direct current resistance becomes nonlinear relationship than with electric current, can simplify the calculating of AC resistance, computation process is suc as formula shown in (3), (4), wherein β=ζ I τCan know that through calculating this algorithm of employing and Morgan normalized form result of calculation relative error are in 1.4%.After the lead standard section was confirmed, ζ and τ were constants.
R d＝R 20[1+α(T 1-20)] (3)
R C＝βR d (4)
Composite type (3), (4) can get formula (5):
R c＝ζI τR 20[1+α(T 1-20)] (5)
In the formula, ζ representes the constant relevant with the lead standard section with τ, and α is a temperature coefficient, R dThe expression direct current resistance, R 20Direct current resistance during 20 ℃ of conductor temperatures of expression.
As a preferred embodiment, said conductor temperature is the conductive line surfaces temperature.
In order to verify the correctness and the application scenario thereof of aerial condutor Transient Thermal Circuit model, prove the feasibility of aerial condutor increase-volume, designed aerial condutor Transient Thermal Circuit modelling verification experiment.Test unit is as shown in Figure 8.
Experimental provision mainly is made up of 5 parts: reactive-load compensation electric capacity, pressure regulator, current lifting device, test circuit (model is LGJ-240/30), automatic weather station.At outdoor, indoor conductor temperature and the lead environment temperature monitoring point of being equiped with.Wherein the basic parameter of LGJ-240/30 experiment lead is as shown in table 1, and its rated current is 445A.
Table 1 LJG-240/30 lead basic parameter
Figure BDA0000141458100000071
Utilize the temperature T 1 of thermocouple monitoring lead aluminium lamination in the experiment, the temperature of distance of wire 4cm is the residing environment temperature T2 of lead.The every 1min of thermopair gathers a secondary data, stores automatically through data collecting instrument.The every 1min of automatic weather station gathers a secondary data, can monitor local weather informations such as wind speed, wind direction, humidity, solar radiation in real time.
According to the hot road of aerial condutor transient Model; In order to investigate lead lead maximum allowed current situation of change in the 24h changing environment, verify the feasibility of aerial condutor dynamic compatibilization, lead has loaded steady current 428A; Maximum allowed current calculates according to formula (2), and the time interval is 1min.The weather information of the temperature of conductor temperature and environment, solar radiation, humidity, wind speed is as shown in Figure 9 in the experiment.
Can know that through Fig. 9 in 24h, air humidity changes lessly all about 50%, variation of ambient temperature is mild.Night, maximum allowed current was not necessarily greater than the permission electric current that the solar radiation situation is arranged daytime, and therefore, lead transmittability and wind speed have great relation, simultaneously wind speed again with sunshine situation relevant.Only ignore the influence of F (t) in the model of hot road, do not ignore the influence of sunshine environment to the lead quantity of heat production.
Each stage realization phenomenon and the analysis of causes are as shown in table 2 in the 24h experiment.
In the 24h experiment, because environment temperature is lower, be 9 ℃-20 ℃, so the increase-volume large percentage, the increase-volume space is 10%-50%.
Table 2 24h experimental phenomena and analysis thereof
Figure BDA0000141458100000081
Can know that by above data the method through the present invention calculates maximum allowed current can calculate the lead maximum allowed current of any time.Lead increase-volume space under the varying environment condition is different, and the increase-volume ratio is 10%-50% in the outdoor experiment.
Above-described embodiment of the present invention does not constitute the qualification to protection domain of the present invention.Any modification of within spirit of the present invention and principle, being done, be equal to replacement and improvement etc., all should be included within the claim protection domain of the present invention.

Claims (8)

1. the definite method based on the aerial condutor permission electric current of Transient Thermal Circuit model is characterized in that, comprises step:
To aerial condutor loading current I;
Monitor conductor temperature T in real time 1Reach the lead environment temperature T of specified distance on every side 2
Calculate the AC resistance R in the moment to be measured c, according to said I, T 1, T 2, R c, adopt the environment thermal resistance R in the computes moment to be measured x:
R x = T 1 - T 2 I 2 R c - C x dT 1 dt
According to said T 1, T 2, R c, R x, adopt following formula, calculate the maximum allowed current I of aerial condutor under the moment external environment to be measured Max:
I max = 70 - T 2 R x R c
2. the aerial condutor based on the Transient Thermal Circuit model according to claim 1 allows definite method of electric current, it is characterized in that, adopts the said AC resistance of computes:
R c＝ζI τR 20[1+α(T 1-20)]
In the formula, ζ representes the constant relevant with the lead standard section with τ, and α is a temperature coefficient, R 20Direct current resistance during 20 ℃ of conductor temperatures of expression.
3. the aerial condutor based on the Transient Thermal Circuit model according to claim 1 and 2 allows definite method of electric current, it is characterized in that, specific range is specially apart from the optional position of conductive line surfaces 30cm around the said lead.
4. the aerial condutor based on the Transient Thermal Circuit model according to claim 1 and 2 allows definite method of electric current, it is characterized in that said conductor temperature is the conductive line surfaces temperature.
5. the definite device based on the aerial condutor permission electric current of Transient Thermal Circuit model is characterized in that, comprising:
The electric current load-on module is used for to aerial condutor loading current I;
The temperature monitoring module is used for monitoring in real time conductor temperature T 1Reach the lead environment temperature T of specified distance on every side 2
Environment thermal resistance determination module is used to calculate the AC resistance R in the moment to be measured c, according to said I, T 1, T 2, R c, adopt the environment thermal resistance R in the computes moment to be measured x:
R x = T 1 - T 2 I 2 R c - C x dT 1 dt
The maximum allowed current determination module is used for according to said T 1, T 2, R c, R x, adopt following formula, calculate the maximum allowed current I of aerial condutor under the moment external environment to be measured Max:
I max = 70 - T 2 R x R c
6. definite device of the aerial condutor maximum allowed current based on the Transient Thermal Circuit model according to claim 5 is characterized in that said environment thermal resistance determination module also is used to adopt the said AC resistance of computes:
R c＝ζI τR 20[1+α(T 1-20)]
In the formula, ζ representes the constant relevant with the lead standard section with τ, and α is a temperature coefficient, R 20Direct current resistance during 20 ℃ of conductor temperatures of expression.
7. allow definite device of electric current according to claim 5 or 6 described aerial condutors based on the Transient Thermal Circuit model, it is characterized in that specific range is specially apart from the optional position of conductive line surfaces 30cm around the said lead.
8. allow definite device of electric current according to claim 5 or 6 described aerial condutors based on the Transient Thermal Circuit model, it is characterized in that said conductor temperature is the conductive line surfaces temperature.
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CN105956931A (en) * 2016-04-29 2016-09-21 国网新疆电力公司乌鲁木齐供电公司 Power distribution line dynamic capacity increasing auxiliary decision making method and system
CN108344898A (en) * 2018-01-31 2018-07-31 华南理工大学 A kind of preformed armor rods incision position contact resistance experimental measurement method based on heat to electricity conversion
TWI648543B (en) * 2018-03-21 2019-01-21 年程科技股份有限公司 Rated current testing device
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CN112946399A (en) * 2021-03-04 2021-06-11 国网浙江省电力有限公司嘉兴供电公司 Line dynamic capacity increasing method based on big data technology
CN112946399B (en) * 2021-03-04 2022-04-29 国网浙江省电力有限公司嘉兴供电公司 Line dynamic capacity increasing method based on big data technology

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