CN104730388A - Method and device for evaluating influence of environment thermal resistance on three-core cable core temperature - Google Patents

Method and device for evaluating influence of environment thermal resistance on three-core cable core temperature Download PDF

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Publication number
CN104730388A
CN104730388A CN201510133843.3A CN201510133843A CN104730388A CN 104730388 A CN104730388 A CN 104730388A CN 201510133843 A CN201510133843 A CN 201510133843A CN 104730388 A CN104730388 A CN 104730388A
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China
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thermal resistance
environment
core temperature
environment thermal
triple cable
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CN201510133843.3A
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Chinese (zh)
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胡日鹏
王鹏
陈艺璇
刘刚
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South China University of Technology SCUT
Guangzhou Power Supply Bureau Co Ltd
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South China University of Technology SCUT
Guangzhou Power Supply Bureau Co Ltd
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Abstract

The invention relates to a method and device for evaluating the influence of environment thermal resistance on the three-core cable core temperature. The method includes the steps that the environment thermal resistance under air laying and/or the environment thermal resistance under soil laying are/is obtained according to a thermal circuit model of a three-core cable; the cable core temperature of the three-core cable is obtained according to the thermal circuit model of the three-core cable; if the three-core cable is under air laying, the sensitivity to the environment thermal resistance under air laying by the cable core temperature is determined according to the relation between the environment thermal resistance under air laying and the environment temperature and a formula (please see the specification for the formula); if the three-core cable is under soil laying, the sensitivity to the environment thermal resistance under soil laying by the cable core temperature is determined according to a formula (please see the specification for the formula). By the adoption of the method and device, the influence degree to the three-core cable core temperature by the environment thermal resistance can be accurately analyzed; in accordance with the magnitude of the sensitivity in the air laying process or the soil laying process, when the loading current of the three-core cable is large and the laying of the three-core cable is air radiation particularly, environment temperature monitoring is enhanced, and therefore the safe and stable operation of an electrical power cable is guaranteed.

Description

Environment thermal resistance affects appraisal procedure and the device of triple cable core temperature
Technical field
The present invention relates to power cable technical field, particularly relate to the apparatus for evaluating that a kind of environment thermal resistance affects the appraisal procedure of triple cable core temperature, environment thermal resistance affects triple cable core temperature.
Background technology
During power cable runs, the temperature of core determines whether power cable reaches the foundation of current-carrying capacity.And current-carrying capacity of cable important dynamic operation parameter of affecting by environmental baseline and load factor during to be cable run, its importance has influence on the problems such as safe and reliable, the economical rationality operation of transmission line of electricity and cable life.If the current-carrying capacity of cable is bigger than normal, the working temperature of cable core temperature can be caused to exceed allowable value, thus the life-span of insulation can be affected; If the current-carrying capacity of cable is less than normal, then cable core copper material or aluminium just can not be fully utilized, and cause unnecessary waste.
At present, calculate that the method for current-carrying capacity of cable has multiple, as IEC (InternationalElectrotechnical Commission) standard, Re Lufa, heat charge simulation method, finite element method and method of finite difference etc. by core temperature.IEC60287 standard be at present compared with approve, the analytical algorithm of most widely used utilization heat transfer principle calculating current-carrying capacity of cable, the thermal circuit model that many scholars put forward is all the improvement that the thermal circuit model that puts forward in IEC standard carries out substantially.But because in actual motion, the current capacity of cable line is subject to the impact of factors, such as external environment condition (environment temperature and environment thermal resistance etc.), and IEC60287 series standard have ignored a lot of external factor in carrying current calculation process, so accurately current-carrying capacity cannot be calculated.In addition, the sensitivity analysis of core temperature to external environment condition is applied to the research convergence maturation of single core cable both at home and abroad, but due to triple cable and the structural difference of single core cable, namely triple cable three-phase interacts, structure is more complicated than single core cable far away, so the sensitivity analysis of existing single core cable cannot be applied to triple cable.In order to study the influence degree of external environment condition to core temperature, ensure the safe operation of power cable, in the urgent need to providing a kind of sensitivity appraisal procedure of triple cable.
Summary of the invention
Based on this, be necessary for the problems referred to above, the appraisal procedure providing a kind of environment thermal resistance to affect triple cable core temperature and device, can analysis environments thermal resistance to the influence degree of triple cable core temperature.
Environment thermal resistance affects an appraisal procedure for triple cable core temperature, comprises step:
According to the thermal circuit model of triple cable, obtain environment thermal resistance under air-laid and/or soil lay under environment thermal resistance;
According to the thermal circuit model of triple cable, obtain the core temperature of triple cable;
If triple cable is air-laid, according to the relation of the environment thermal resistance under air-laid and environment temperature and determine the sensitivity of core temperature to the environment thermal resistance under air-laid;
Lay if triple cable is soil, according to determine core temperature soil is laid under the sensitivity of environment thermal resistance;
Wherein represent core temperature the sensitivity of the environment thermal resistance under air-laid or core temperature are laid soil under the sensitivity of environment thermal resistance, θ 1represent core temperature, T 4environment thermal resistance under environment thermal resistance under expression air-laid or soil lay.
Environment thermal resistance affects an apparatus for evaluating for triple cable core temperature, comprising:
Environment thermal resistance determination module, for the thermal circuit model according to triple cable, obtain environment thermal resistance under air-laid and/or soil lay under environment thermal resistance;
Core temperature determination module, for the thermal circuit model according to triple cable, obtains the core temperature of triple cable;
First sensitivity determination module, for when triple cable is air-laid, according to the relation of the environment thermal resistance under air-laid and environment temperature and determine the sensitivity of core temperature to the environment thermal resistance under air-laid;
Second sensitivity determination module, at triple cable be soil lay time, according to determine core temperature soil is laid under the sensitivity of environment thermal resistance;
Wherein represent core temperature the sensitivity of the environment thermal resistance under air-laid or core temperature are laid soil under the sensitivity of environment thermal resistance, θ 1represent core temperature, T 4environment thermal resistance under environment thermal resistance under expression air-laid or soil lay.
Environment thermal resistance of the present invention affects appraisal procedure and the device of triple cable core temperature, and by the concept of biology medium sensitivity, analyze the influence degree of environment thermal resistance to cable core temperature, namely cable core temperature is to the level of sensitivity of environment thermal resistance.Experimental study shows, the present invention can accurate analysis environment thermal resistance to triple cable core temperature influence degree.In addition, level of sensitivity when laying according to air-laid of the present invention or soil, obtain the increase along with loading current, the sensitivity of core temperature to external environment condition thermal resistance is increasing, so when triple cable loading current is larger, especially during the laying as air radiation of triple cable, the monitoring dynamics of environment temperature should be strengthened, thus ensure the safe and stable operation of electric power cable.
Accompanying drawing explanation
Fig. 1 is the schematic flow sheet of the inventive method embodiment;
Fig. 2 is triple cable steady state thermal road of the present invention model schematic;
Fig. 3 is experiment measuring 10kV triple cable of the present invention core and skin temperature experiment value when reaching stable state;
Fig. 4 is the structural representation of apparatus of the present invention embodiment.
Embodiment
The embodiment below in conjunction with accompanying drawing, environment thermal resistance of the present invention being affected to the appraisal procedure of triple cable core temperature is described in detail.
As shown in Figure 1, a kind of environment thermal resistance affects the appraisal procedure of triple cable core temperature, comprises step:
S110, thermal circuit model according to triple cable, obtain environment thermal resistance under air-laid and/or soil lay under environment thermal resistance;
S120, thermal circuit model according to triple cable, obtain the core temperature of triple cable;
If S130 triple cable is air-laid, according to the relation of the environment thermal resistance under air-laid and environment temperature and determine the sensitivity of core temperature to the environment thermal resistance under air-laid;
Lay if S140 triple cable is soil, according to determine core temperature soil is laid under the sensitivity of environment thermal resistance;
Wherein represent core temperature the sensitivity of the environment thermal resistance under air-laid or core temperature are laid soil under the sensitivity of environment thermal resistance, θ 1represent core temperature, T 4environment thermal resistance under environment thermal resistance under expression air-laid or soil lay.
Triple cable of the present invention can be the triple cable etc. of 10kV (kilovolt).As shown in Figure 2, be triple cable steady state thermal road model schematic, in the thermal circuit model of triple cable, according to IEC60287:
When for air-laid, environment thermal resistance T 4for:
T 4 = 1 π · D e · h · ( Δθ S ) 1 / 4 - - - ( 1 )
π in its Chinese style (1) represents circular constant; D erepresent triple cable external diameter, unit can be m (rice); H represents heat transfer coefficient; Δ θ srepresent the temperature rise of triple cable epidermis, unit is K (Kelvin).
When laying for soil, environment thermal resistance T 4for:
T 4 = ρ T 2 π ln ( u + u 2 - 1 ) - - - ( 2 )
π in its Chinese style (2) represents circular constant; ρ trepresent soil thermal resistivity, unit can be Km/W (Kelvin's rice/watt); l represents the distance of triple cable axis to earth's surface, and unit can be mm (millimeter); D erepresent triple cable external diameter, unit can be mm; Ln represents logarithmic function.
The nodal method of analysis in analogy circuit, according to Fig. 2 row temperature difference balance equation:
θ 12=T 1/3×(3I 2R+3Q d/2) (3)
θ 23=T 2×[3Q d+3(1+λ 1)I 2R] (4)
θ 34=T 3×[3Q d+3(1+λ 12)I 2R] (5)
θ 40=T 4×[3Q d+3(1+λ 12)I 2R] (6)
Formula (3), formula (4), formula (5), formula (6) are added, the core temperature obtaining triple cable is:
θ 1=θ 0+T 1(I 2R+Q d/2)+3T 2[I 2R(1+λ 1)+Q d]+3(T 3+T 4)[I 2R(1+λ 12)+Q d] (7)
θ wherein in formula (7) 1for the core temperature of triple cable; θ 2for insulated outer surface and metal screen layer temperature; θ 3for armor temperature; θ 4for cable jacket surface temperature; θ 0for environment temperature; T 1for single core insulation course thermal resistance; I is the current-carrying capacity of triple cable; R is core AC resistance; Q c=I 2r is the loss that single core cable core and internal shield produce; Q dfor the dielectric loss of the insulation of single core and insulation screen; T 2for packed layer and inner sheath thermal resistance, λ 1for the loss factor of single core metallic sheath and shielding, T 3for oversheath thermal resistance, T 4for environment thermal resistance, λ 2for the loss factor of single core armor.
represent core temperature θ 1to environment thermal resistance T 4sensitivity, T 4for independent variable parameter, θ 1for dependent variable parameter.According to the data that step S110 and step S120 obtains, according to namely can analysis environments thermal resistance to the influence degree of core temperature.Because air-laid is different with soil laying state, so be described the influence degree of environment thermal resistance to core temperature in two kinds of situation below.
(1) when for air-laid:
Due to environment thermal resistance T 4with environment temperature θ 0relevant, only consider that the impact of environment thermal resistance on core temperature is inaccurate, therefore will consider the impact of two factors.Therefore core temperature θ is obtained 1to environment thermal resistance T 4normalization sensitivity be:
S T 4 θ 1 = { 4 π D e h ( Δ θ S ) 5 4 + 3 [ ( 1 + λ 1 + λ 2 ) I 2 R + Q d ] } · T 4 θ 1 - - - ( 8 )
(2) when laying for soil:
Because the environment thermal resistance of soil is comparatively large, environment temperature remains unchanged substantially, so can ignore the subtle change of environment temperature, only considers that environment thermal resistance is on the impact of core temperature.Obtaining core temperature when soil lays to the normalization sensitivity of environment thermal resistance is:
S T 4 θ 1 = 3 [ ( 1 + λ 1 + λ 2 ) I 2 R + Q d ] · T 4 θ 1 - - - ( 9 )
Under can obtaining different laying state according to formula (8), formula (9), when loading current is different numerical value, core temperature is to the sensitivity of environment thermal resistance, and wherein partial data is as shown in table 1 below.
Under table 1 two kinds of different laying states, core temperature is to the sensitivity of environment thermal resistance
Parametric sensitivity classification is as shown in table 2 below:
The classification of table 2 parametric sensitivity
According to above-mentioned table 1 and table 2 known, in air-laid situation: when loading current is 200A, for moderate sensitivity; When loading current is 300A, 400A, 500A, for sensitive, and sensitivity during 500A is the highest.Under soil laying state: when loading different electric current for insensitive.
When experiment measuring 10kV triple cable reaches stable state, core and skin temperature experiment value are as shown in Figure 3.A in Fig. 3 represents that the core temperature gap that air-laid and soil lay, the b in Fig. 3 represent the skin temperature difference that air-laid and soil lay.Data in associative list 1 and Fig. 3 are known: under same laying state, along with the increase of loading current, the sensitivity of core temperature to external environment condition thermal resistance is increasing.Also prove that the present invention is for determining that the influence degree of environment thermal resistance to triple cable core temperature has validity simultaneously.In addition, according to above-mentioned analysis, when loading current is larger, especially in air-laid situation, need the monitoring dynamics strengthening environment temperature, thus prevent core temperature too high, ensure the safe and stable operation of electric power cable.
Based on same inventive concept, the present invention also provides a kind of environment thermal resistance to affect the apparatus for evaluating of triple cable core temperature, is described in detail below in conjunction with the embodiment of accompanying drawing to apparatus of the present invention.
As shown in Figure 4, a kind of environment thermal resistance affects the apparatus for evaluating of triple cable core temperature, comprising:
Environment thermal resistance determination module 410, for the thermal circuit model according to triple cable, obtain environment thermal resistance under air-laid and/or soil lay under environment thermal resistance;
Core temperature determination module 420, for the thermal circuit model according to triple cable, obtains the core temperature of triple cable;
First sensitivity determination module 430, for when triple cable is air-laid, according to the relation of the environment thermal resistance under air-laid and environment temperature and determine the sensitivity of core temperature to the environment thermal resistance under air-laid;
Second sensitivity determination module 440, at triple cable be soil lay time, according to determine core temperature soil is laid under the sensitivity of environment thermal resistance;
Wherein represent core temperature the sensitivity of the environment thermal resistance under air-laid or core temperature are laid soil under the sensitivity of environment thermal resistance, θ 1represent core temperature, T 4environment thermal resistance under environment thermal resistance under expression air-laid or soil lay.
According to triple cable steady state thermal road model schematic as shown in Figure 2, the environment thermal resistance under known air-laid wherein D erepresent triple cable external diameter, h represents heat transfer coefficient, Δ θ srepresent the temperature rise of triple cable epidermis; Environment thermal resistance under soil lays wherein ρ trepresent soil thermal resistivity, l represents the distance of triple cable axis to earth's surface, D erepresent triple cable external diameter.The core temperature θ of triple cable 10+ T 1(I 2r+Q d/ 2)+3T 2[I 2r (1+ λ 1)+Q d]+3 (T 3+ T 4) [I 2r (1+ λ 1+ λ 2)+Q d], wherein θ 1for the core temperature of triple cable, θ 0for environment temperature, T 1for single core insulation course thermal resistance, I is the current-carrying capacity of triple cable, and R is core AC resistance, Q dfor the dielectric loss of the insulation of single core and insulation screen, T 2for packed layer and inner sheath thermal resistance, λ 1for the loss factor of single core metallic sheath and shielding, T 3for oversheath thermal resistance, T 4for environment thermal resistance, λ 2for the loss factor of single core armor.
The environmentally data that obtain of thermal resistance determination module 410 and core temperature determination module 420, the first sensitivity determination module 430 or the second sensitivity determination module 440 namely can bases analysis environments thermal resistance is to the influence degree of core temperature.When for air-laid: due to environment thermal resistance T 4with environment temperature θ 0relevant, the first sensitivity determination module 430 will consider the impact of two factors, therefore obtains core temperature θ 1to environment thermal resistance T 4normalization sensitivity be: S T 4 θ 1 = { 4 π D e h ( Δ θ S ) 5 4 + 3 [ ( 1 + λ 1 + λ 2 ) I 2 R + Q d ] } · T 4 θ 1 . When laying for soil: because the environment thermal resistance of soil is larger, environment temperature remains unchanged substantially, so the second sensitivity determination module 440 can ignore the subtle change of environment temperature, only consider that environment thermal resistance is on the impact of core temperature, obtaining core temperature when soil lays to the normalization sensitivity of environment thermal resistance is: S T 4 θ 1 = 3 [ ( 1 + λ 1 + λ 2 ) I 2 R + Q d ] · T 4 θ 1 .
The sensitivity formula that the sensitivity formula obtained according to the first sensitivity determination module 430 and the second sensitivity determination module 440 obtain, can obtain under different loading current different when laying environment thermal resistance to the influence degree of core temperature, namely along with the increase of loading current, the sensitivity of core temperature to external environment condition thermal resistance is increasing, so when triple cable loading current is larger, especially during the laying as air radiation of triple cable, the monitoring dynamics of environment temperature should be strengthened, thus ensure the safe and stable operation of electric power cable.
Other technical characteristic of apparatus of the present invention is identical with the inventive method, does not repeat them here.
Each technical characteristic of the above embodiment can combine arbitrarily, for making description succinct, the all possible combination of each technical characteristic in above-described embodiment is not all described, but, as long as the combination of these technical characteristics does not exist contradiction, be all considered to be the scope that this instructions is recorded.
The above embodiment only have expressed several embodiment of the present invention, and it describes comparatively concrete and detailed, but can not therefore be construed as limiting the scope of the patent.It should be pointed out that for the person of ordinary skill of the art, without departing from the inventive concept of the premise, can also make some distortion and improvement, these all belong to protection scope of the present invention.Therefore, the protection domain of patent of the present invention should be as the criterion with claims.

Claims (10)

1. environment thermal resistance affects an appraisal procedure for triple cable core temperature, it is characterized in that, comprises step:
According to the thermal circuit model of triple cable, obtain environment thermal resistance under air-laid and/or soil lay under environment thermal resistance;
According to the thermal circuit model of triple cable, obtain the core temperature of triple cable;
If triple cable is air-laid, according to the relation of the environment thermal resistance under air-laid and environment temperature and determine the sensitivity of core temperature to the environment thermal resistance under air-laid;
Lay if triple cable is soil, according to determine core temperature soil is laid under the sensitivity of border thermal resistance;
Wherein represent core temperature the sensitivity of the environment thermal resistance under air-laid or core temperature are laid soil under the sensitivity of environment thermal resistance, θ 1represent core temperature, T 4environment thermal resistance under environment thermal resistance under expression air-laid or soil lay.
2. environment thermal resistance according to claim 1 affects the appraisal procedure of triple cable core temperature, it is characterized in that, the environment thermal resistance under air-laid wherein D erepresent triple cable external diameter, h represents heat transfer coefficient, Δ θ srepresent the temperature rise of triple cable epidermis; Environment thermal resistance under soil lays wherein ρ trepresent soil thermal resistivity, l represents the distance of triple cable axis to earth's surface, D erepresent triple cable external diameter.
3. environment thermal resistance according to claim 2 affects the appraisal procedure of triple cable core temperature, it is characterized in that, the core temperature θ of triple cable 10+ T 1(I 2r+Q d/ 2)+3T 2[I 2r (1+ λ 1)+Q d]+3 (T 3+ T 4) [I 2r (1+ λ 1+ λ 2)+Q d], wherein θ 1for the core temperature of triple cable, θ 0for environment temperature, T 1for single core insulation course thermal resistance, I is the current-carrying capacity of triple cable, and R is core AC resistance, Q dfor the dielectric loss of the insulation of single core and insulation screen, T 2for packed layer and inner sheath thermal resistance, λ 1for the loss factor of single core metallic sheath and shielding, T 3for oversheath thermal resistance, T 4for environment thermal resistance, λ 2for the loss factor of single core armor.
4. environment thermal resistance according to claim 3 affects the appraisal procedure of triple cable core temperature, it is characterized in that, core temperature is to the sensitivity of the environment thermal resistance under air-laid S T 4 θ 1 = { 4 π D e h ( Δθ S ) 5 4 + 3 [ ( 1 + λ 1 + λ 2 ) I 2 R + Q d ] } · T 4 θ 1 .
5. environment thermal resistance according to claim 3 affects the appraisal procedure of triple cable core temperature, it is characterized in that, core temperature soil is laid under the sensitivity of environment thermal resistance S T 4 θ 1 = 3 [ ( 1 + λ 1 + λ 2 ) I 2 R + Q d ] · T 4 θ 1 .
6. environment thermal resistance affects an apparatus for evaluating for triple cable core temperature, it is characterized in that, comprising:
Environment thermal resistance determination module, for the thermal circuit model according to triple cable, obtain environment thermal resistance under air-laid and/or soil lay under environment thermal resistance;
Core temperature determination module, for the thermal circuit model according to triple cable, obtains the core temperature of triple cable;
First sensitivity determination module, for when triple cable is air-laid, according to the relation of the environment thermal resistance under air-laid and environment temperature and determine the sensitivity of core temperature to the environment thermal resistance under air-laid;
Second sensitivity determination module, at triple cable be soil lay time, according to determine core temperature soil is laid under the sensitivity of environment thermal resistance;
Wherein represent core temperature the sensitivity of the environment thermal resistance under air-laid or core temperature are laid soil under the sensitivity of environment thermal resistance, θ 1represent core temperature, T 4environment thermal resistance under environment thermal resistance under expression air-laid or soil lay.
7. environment thermal resistance according to claim 6 affects the apparatus for evaluating of triple cable core temperature, it is characterized in that, the environment thermal resistance under air-laid wherein D erepresent triple cable external diameter, h represents heat transfer coefficient, Δ θ srepresent the temperature rise of triple cable epidermis; Environment thermal resistance under soil lays wherein ρ trepresent soil thermal resistivity, l represents the distance of triple cable axis to earth's surface, D erepresent triple cable external diameter.
8. environment thermal resistance according to claim 7 affects the apparatus for evaluating of triple cable core temperature, it is characterized in that, the core temperature θ of triple cable 10+ T 1(I 2r+Q d/ 2)+3T 2[I 2r (1+ λ 1)+Q d]+3 (T 3+ T 4) [I 2r (1+ λ 1+ λ 2)+Q d], wherein θ 1for the core temperature of triple cable, θ 0for environment temperature, T 1for single core insulation course thermal resistance, I is the current-carrying capacity of triple cable, and R is core AC resistance, Q dfor the dielectric loss of the insulation of single core and insulation screen, T 2for packed layer and inner sheath thermal resistance, λ 1for the loss factor of single core metallic sheath and shielding, T 3for oversheath thermal resistance, T 4for environment thermal resistance, λ 2for the loss factor of single core armor.
9. environment thermal resistance according to claim 8 affects the apparatus for evaluating of triple cable core temperature, it is characterized in that, core temperature is to the sensitivity of the environment thermal resistance under air-laid S T 4 θ 1 = { 4 π D e h ( Δθ S ) 5 4 + 3 [ ( 1 + λ 1 + λ 2 ) I 2 R + Q d ] } · T 4 θ 1 .
10. environment thermal resistance according to claim 8 affects the apparatus for evaluating of triple cable core temperature, it is characterized in that, core temperature soil is laid under the sensitivity of environment thermal resistance S T 4 θ 1 = 3 [ ( 1 + λ 1 + λ 2 ) I 2 R + Q d ] · T 4 θ 1 .
CN201510133843.3A 2015-03-25 2015-03-25 Method and device for evaluating influence of environment thermal resistance on three-core cable core temperature Pending CN104730388A (en)

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