WO2022267431A1 - High-temperature superconductive cable current lead structure and design method therefor - Google Patents

High-temperature superconductive cable current lead structure and design method therefor Download PDF

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WO2022267431A1
WO2022267431A1 PCT/CN2021/143426 CN2021143426W WO2022267431A1 WO 2022267431 A1 WO2022267431 A1 WO 2022267431A1 CN 2021143426 W CN2021143426 W CN 2021143426W WO 2022267431 A1 WO2022267431 A1 WO 2022267431A1
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Prior art keywords
lead
current
segment
current lead
lead segment
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PCT/CN2021/143426
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French (fr)
Chinese (zh)
Inventor
焦婷
张喜泽
杨建平
郑健
张琪祁
韩云武
张志勇
李红雷
宗曦华
魏本刚
黄逸佳
陈志越
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国网上海市电力公司
上海国际超导科技有限公司
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Priority claimed from CN202121414937.5U external-priority patent/CN215070460U/en
Priority claimed from CN202110704661.2A external-priority patent/CN113300130B/en
Application filed by 国网上海市电力公司, 上海国际超导科技有限公司 filed Critical 国网上海市电力公司
Priority to AU2021355610A priority Critical patent/AU2021355610B2/en
Publication of WO2022267431A1 publication Critical patent/WO2022267431A1/en

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    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01BCABLES; CONDUCTORS; INSULATORS; SELECTION OF MATERIALS FOR THEIR CONDUCTIVE, INSULATING OR DIELECTRIC PROPERTIES
    • H01B12/00Superconductive or hyperconductive conductors, cables, or transmission lines
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01BCABLES; CONDUCTORS; INSULATORS; SELECTION OF MATERIALS FOR THEIR CONDUCTIVE, INSULATING OR DIELECTRIC PROPERTIES
    • H01B12/00Superconductive or hyperconductive conductors, cables, or transmission lines
    • H01B12/02Superconductive or hyperconductive conductors, cables, or transmission lines characterised by their form
    • HELECTRICITY
    • H01ELECTRIC ELEMENTS
    • H01RELECTRICALLY-CONDUCTIVE CONNECTIONS; STRUCTURAL ASSOCIATIONS OF A PLURALITY OF MUTUALLY-INSULATED ELECTRICAL CONNECTING ELEMENTS; COUPLING DEVICES; CURRENT COLLECTORS
    • H01R4/00Electrically-conductive connections between two or more conductive members in direct contact, i.e. touching one another; Means for effecting or maintaining such contact; Electrically-conductive connections having two or more spaced connecting locations for conductors and using contact members penetrating insulation
    • H01R4/58Electrically-conductive connections between two or more conductive members in direct contact, i.e. touching one another; Means for effecting or maintaining such contact; Electrically-conductive connections having two or more spaced connecting locations for conductors and using contact members penetrating insulation characterised by the form or material of the contacting members
    • H01R4/68Connections to or between superconductive connectors
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E40/00Technologies for an efficient electrical power generation, transmission or distribution
    • Y02E40/60Superconducting electric elements or equipment; Power systems integrating superconducting elements or equipment

Definitions

  • the invention relates to the technical field of high-temperature superconducting cable current leads, and more particularly, to the structure and design method of the high-temperature superconducting cable current leads.
  • High-temperature superconducting cables have the advantages of high transmission power, high current density, low loss and environmental friendliness.
  • the high-temperature superconducting current lead is a composite current lead. It uses high-temperature superconducting materials in the low-temperature section, and uses conductive materials such as copper or copper alloys between room temperature and high-temperature superconducting materials. It is used as a high-temperature oxide superconducting material for ceramic materials.
  • the thermal conductivity is very low, and no heat is generated during normal operation, so the heat injected into the liquid nitrogen container is very small. In the conventional current lead part, because the temperature difference between the two ends of the lead is reduced, the heat leakage of the lead is also reduced accordingly.
  • the current lead itself has a certain resistance, so heat is generated when the current is transmitted, and part of the heat is transferred to the cryogenic container from the end of the lead.
  • the operating current of small superconducting cables is small, so there is no special consideration for the current leads; however, in large superconducting cables, the heat leakage of the current leads largely determines the cooling capacity required by the superconducting cables during normal operation. Therefore, in the design of a large superconducting cable, the design of the current lead is very particular, and the design method of each part of the lead must be carefully considered.
  • the design of the current lead is to reduce the heat flowing into the cryogenic container as much as possible under the premise of meeting the operating current requirements of the superconducting cable.
  • the heat leakage of the current lead is related to the material of the lead. Once the material of the lead is determined, the heat leakage of the lead is closely related to the size and shape of the lead. Therefore, the optimization of the size and shape of the lead is very important. important.
  • the leakage heat transferred from the current leads to the cryogenic container includes conduction heat and Joule heat. Increasing the cross-sectional area of the current lead can reduce Joule heat, but it will increase the heat leakage caused by conduction heat; while reducing the cross-sectional area of the current lead, the situation is just the opposite.
  • the Chinese invention patent (CN110323325) discloses a Peltier current lead device.
  • a current lead formed of thermoelectric material bismuth telluride By inserting a current lead formed of thermoelectric material bismuth telluride into the existing copper or copper alloy lead, the current lead can be passed through the current lead. The heat from the low temperature end of the current lead is transferred to the room temperature end, and since the thermal conductivity of the bismuth telluride material is only 0.4% of that of the copper material, the heat leakage caused by the current lead can be reduced when no current passes.
  • the current leads are often designed in the form of a heat exchanger to minimize the heat leakage through the current leads to the cryogenic container.
  • the current leads made of different materials have different minimum heat leakage. On the basis of determining the material, further optimize the size of the current lead to make the heat leakage of the lead close to the minimum value; use the cooling gas evaporated from the coolant in the low-temperature coolant container to take away the conduction heat and Joule heat on the current lead, that is, use air cooling
  • the current lead structure, making full use of the sensible heat of the cooling gas will greatly reduce the heat leakage of the current lead, thereby reducing the evaporation of the cooling liquid.
  • Chinese invention patent discloses a multi-section current lead based on evaporative cooling.
  • the first lead segment wraps the superconducting cable and the lead, and the second lead segment increases the heat exchange area between the lead and liquid nitrogen, and strengthens the connection between the lead and the liquid nitrogen.
  • the third lead section increases the heat exchange area between the lead and evaporated nitrogen, strengthens the heat exchange between the lead and evaporated nitrogen, reduces the temperature of the lead, and reduces the heat leakage of the lead.
  • the temperature transition is realized from the lead segment to the room temperature end; the third lead segment adopts the arrangement of multiple copper bars arranged in parallel in two directions perpendicular to each other on the lead cross section, and a preset distance is maintained between each copper bar.
  • Chinese invention patent discloses a 6kA high-temperature superconducting current lead, in which 30 copper rods with a diameter of 6 mm are used in the copper heat exchanger section, and are arranged in an arrangement of 10 inner layers and 20 outer layers.
  • the object of the present invention is to provide a high-temperature superconducting cable current lead structure and a design method thereof, by optimizing the current lead structure, the heat leakage of the current lead can be reduced.
  • the present invention adopts the following technical solutions.
  • the current lead structure of the high-temperature superconducting cable adopts a plurality of metal rods arranged in parallel along the direction of the lead wire axis, and a preset distance is maintained between each metal rod.
  • the metal rod comprises a first lead segment, a second lead segment and a third lead segment; wherein, the bottom end of the first lead segment contacts the liquid nitrogen liquid level, and the top of the first lead segment connects to the bottom end of the second lead segment; The top of the lead segment is connected to the bottom of the third lead segment, and the top of the third lead segment is connected to the room temperature terminal; the top of the second lead segment does not exceed the position of the epoxy board.
  • first lead segment and the third lead segment are solid metal rods
  • second lead segment is a hollow metal rod
  • Step 1 measure the distance between the liquid nitrogen liquid surface in the high-temperature superconducting cable terminal and the room temperature terminal, and the distance between the liquid nitrogen liquid surface and the epoxy board; respectively determine the first lead segment and the second lead segment in the current lead and the length of the third lead segment;
  • Step 2 measure the outer diameter of the current lead, and set the initial value of the inner diameter of the second lead segment in the current lead according to the rated current of the current lead;
  • Step 3 measure liquid nitrogen liquid surface temperature, epoxy board position temperature and room temperature wiring terminal temperature
  • Step 4 based on the coupling model of the thermal field and the electric field of the current lead, using simulation means, with the minimum heat leakage of the current lead as the objective function, starting from the initial value of the inner diameter of the second lead segment, optimizing the length and inner diameter of the second lead segment;
  • Step 5 according to the optimization results of the length and inner diameter of the second lead segment, re-determine the lengths of the first lead segment and the third lead segment in the current lead.
  • step 1 includes:
  • Step 1.1 taking the distance between the liquid nitrogen liquid level and the room temperature terminal as the total length of the first lead segment, the second lead segment and the third lead segment in the current lead;
  • Step 1.2 taking the liquid nitrogen liquid level as the bottom end of the first lead segment, and determining the top of the first lead segment accordingly;
  • Step 1.3 taking the top of the first lead segment as the bottom end of the second lead segment, and the top of the second lead segment does not exceed the position of the epoxy board, thereby determining the length of the second lead segment;
  • Step 1.4 taking the top of the second lead segment as the bottom end of the third lead segment, taking the position of the room temperature terminal as the top of the third lead segment, and determining the length of the third lead segment accordingly.
  • the length of the first lead segment is not less than 200mm.
  • step 2 the outer diameters of the first lead segment, the second lead segment and the third lead segment in the current lead are the same, and the inner diameter of the second lead segment satisfies 30mm ⁇ d ⁇ 56mm ⁇ D, where d represents the second lead The inner diameter of the segment, D represents the outer diameter of the second lead segment.
  • step 4 the thermal field model of the current lead satisfies the following relationship:
  • represents the density of the current lead material
  • C p represents the constant pressure heat capacity of the current lead material
  • k represents the thermal conductivity of the current lead material
  • T represents the temperature of the current lead
  • Q e represents the Joule heat loss of the current lead.
  • step 4 the electric field model of the current lead satisfies the following relationship:
  • the minimum heat leakage of the current lead is the constraint condition of the objective function that the temperature at the position of the epoxy board is closest to the temperature of the terminal at room temperature.
  • the boundary conditions where the minimum heat leakage of the current lead is the objective function include: the temperature at the top of the current lead is the ambient temperature, the temperature at the bottom of the current lead is the boiling temperature of liquid nitrogen, and the boundaries of the current lead except the top and bottom are uniform For thermal insulation.
  • the beneficial effect of the present invention is that, compared with the prior art, the structure and shape of the existing current leads adopt the method of opening hollow slots inside, the structure is simple, the thermal field distribution is significantly optimized, and the heat leakage of the current leads is reduced.
  • the design of the current lead wire provides reliable support; the current lead wire adopting this structure is easy to process and manufacture, easy to install and maintain, and is beneficial to engineering popularization and application.
  • Fig. 1 is a schematic diagram of an axisymmetric model of a high temperature superconducting cable current lead structure of the present invention
  • Fig. 2 is the flow chart of the design method of high temperature superconducting cable current lead structure of the present invention
  • Fig. 3 is a temperature distribution curve of the epoxy board under different lengths of the second lead segment when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 1;
  • Fig. 4 is a curve diagram of heat leakage heat distribution at the bottom of the current lead when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 1 under different lengths of the second lead segment;
  • Fig. 5 is a graph showing the temperature distribution curve of the epoxy board under different inner diameters of the second lead section when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 1;
  • Fig. 6 is a curve diagram of heat leakage heat distribution at the bottom of the current lead when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 1 under different inner diameters of the second lead segment;
  • Fig. 7 is a temperature distribution curve of the epoxy board under different lengths of the second lead segment when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 2;
  • Fig. 8 is a curve diagram of heat leakage heat distribution at the bottom of the current lead when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 2 under different lengths of the second lead segment;
  • Fig. 9 is a curve diagram of the temperature distribution of the epoxy board under different inner diameters of the second lead section when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 2;
  • Fig. 10 is a curve diagram of heat leakage heat distribution at the bottom of the current lead under different inner diameters of the second lead segment when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 2.
  • the current lead is used as a part connecting the transformer (normal temperature 293K) and the superconducting cable (liquid nitrogen 77K) in the terminal, and the Joule heat generated by itself and the heat from the outside will be introduced into the liquid nitrogen through it, causing part of the heat loss , increasing the burden on the refrigerator. Therefore, in the case of ensuring the current flow capacity of the current lead, minimizing the heat loss of the current lead is the key point to be considered in the design of the current lead structure.
  • the high-temperature superconducting cable current lead structure proposed by the present invention adopts a plurality of metal rods arranged in parallel along the direction of the lead wire axis, and a preset distance is maintained between each metal rod.
  • the heat loss of the current lead of the high-temperature superconducting cable can be reduced as much as possible through reasonable structural design.
  • the optimization design idea is usually to adopt a hollow design, that is, to hollow out a part inside the current lead, and the hollowed out part appears as a cylinder, so as to optimize the thermal field distribution and reduce the heat leakage of the current lead.
  • the optimal size of the hollow slot of the cylinder can be given through simulation calculation, which provides a basis for the design of the subsequent current lead.
  • Fig. 1 is a schematic diagram of the axisymmetric model of the high temperature superconducting cable current lead structure of the present invention.
  • the metal rod includes a first lead segment 1, a second lead segment 2 and a third lead segment 3; wherein,
  • the bottom end of the first lead segment 1 contacts the liquid nitrogen liquid level, and the top of the first lead segment 1 connects the bottom end of the second lead segment 2; the top end of the second lead segment 2 connects the bottom end of the third lead segment 3, and the third The top of the lead segment 3 is connected to the room temperature terminal; the top of the second lead segment 2 does not exceed the position of the epoxy board.
  • the first lead segment 1 and the third lead segment 3 are solid metal rods, and the second lead segment 2 is a hollow metal rod.
  • the current lead adopts a hollow design, and grooves are dug inside it.
  • the bottom of the groove is 201mm away from the bottom of the current lead.
  • Step 1 measure the distance between the liquid nitrogen liquid surface in the high-temperature superconducting cable terminal and the room temperature terminal, and the distance between the liquid nitrogen liquid surface and the epoxy board; respectively determine the first lead segment and the second lead segment in the current lead and the length of the third lead segment.
  • step 1 includes:
  • Step 1.1 taking the distance between the liquid nitrogen liquid level and the room temperature terminal as the total length of the first lead segment, the second lead segment and the third lead segment in the current lead;
  • Step 1.2 take the liquid nitrogen liquid level as the bottom end of the first lead segment, and set the length of the first lead segment to be not less than 200mm, and determine the top of the first lead segment accordingly;
  • Step 1.3 taking the top of the first lead segment as the bottom end of the second lead segment, and the top of the second lead segment does not exceed the position of the epoxy board, thereby determining the length of the second lead segment;
  • Step 1.4 taking the top of the second lead segment as the bottom end of the third lead segment, taking the position of the room temperature terminal as the top of the third lead segment, and determining the length of the third lead segment accordingly.
  • Step 2 measure the outer diameter of the current lead, and set the initial value of the inner diameter of the second lead segment in the current lead according to the rated current of the current lead.
  • step 2 the outer diameters of the first lead segment, the second lead segment, and the third lead segment in the current lead are the same, and the inner diameter of the second lead segment satisfies 30mm ⁇ d ⁇ 56mm ⁇ D, where d represents the second The inner diameter of the lead segment, D represents the outer diameter of the second lead segment.
  • Step 3 measure the temperature of the liquid nitrogen liquid surface, the temperature of the epoxy board position and the temperature of the terminal at room temperature.
  • the pressure inside the terminal is about 0.4 MPa, and the bottom end of the current lead is in contact with the liquid nitrogen surface.
  • the boiling temperatures of liquid nitrogen at different pressures are shown in Table 1.
  • the boiling temperature of liquid nitrogen at 0.4MPa is about 90K, so the temperature at the bottom of the current lead, that is, the liquid nitrogen liquid surface temperature, is 90K; the top of the current lead is at normal temperature, that is, the temperature of the room temperature terminal is 293.15K; The remaining boundaries are thermally insulated.
  • Step 4 Based on the coupling model of the thermal field and electric field of the current lead, using simulation means, taking the minimum heat leakage of the current lead as the objective function, starting from the initial value of the inner diameter of the second lead segment, optimizing the length and inner diameter of the second lead segment.
  • step 4 the coupling model of the thermal field and electric field of the current lead satisfies the following relationship:
  • denotes the density of the current lead material
  • C p represents the constant pressure heat capacity of the current lead material
  • k the thermal conductivity of the current lead material
  • T the temperature of the current lead
  • V represents the potential of the current lead
  • denotes the electrical conductivity of the current lead material
  • the material of the current leads is aluminum, and the density of aluminum does not change much at different temperatures, so it can be regarded as a constant.
  • the main material property parameters for the current leads are set as follows:
  • the overall flow velocity of the fluid outside the current lead is 0, that is is 0, so the thermal field model does not need to consider the influence of constant pressure heat capacity with temperature change, the constant pressure heat capacity can be given a constant value, and the constant pressure heat capacity C p of the current lead material is set to 900J/(kg K) .
  • thermal conductivity and electrical conductivity change with the temperature.
  • the values of the thermal conductivity k of aluminum are shown in Table 2:
  • the electrical conductivity ⁇ of aluminum is 3.44828e7S/m, from which the linear expression of the electrical conductivity ⁇ changing with temperature can be obtained; therefore, the thermal conductivity k of the current lead material is set to 491.5+(420-238)/ (77[K]-273[K]) ⁇ T, the unit is W/(m K), the conductivity ⁇ of the current lead material is 3.44828e7*(1+0.0043[1/K] ⁇ (293.15[K] -T)), the unit is S/m.
  • the density ⁇ of the current lead material is set to be 2700 kg/m 3 .
  • the minimum heat leakage of the current lead is the constraint condition of the objective function that the temperature at the position of the epoxy board is closest to the temperature of the terminal at room temperature.
  • step 4 the boundary conditions where the minimum heat leakage of the current lead is the objective function include: the temperature at the top of the current lead is the ambient temperature, the temperature at the bottom of the current lead is the boiling temperature of liquid nitrogen, and the boundaries of the current lead except the top and bottom are heat insulation.
  • Step 5 according to the optimization results of the length and inner diameter of the second lead segment, re-determine the lengths of the first lead segment and the third lead segment in the current lead.
  • Adopt the current lead design method that the present invention proposes, simulation process comprises:
  • Fig. 3 and Fig. 4 respectively show the temperature distribution curve of the epoxy board and the heat leakage heat distribution curve at the bottom of the current lead when the current lead structure of the high temperature superconducting cable of the present invention is applied in Example 1 under different lengths of the second lead segment.
  • Fig. 5 and Fig. 6 respectively show the temperature distribution curve of the epoxy board and the heat leakage heat distribution curve at the bottom of the current lead when the current lead structure of the high temperature superconducting cable of the present invention is applied in Example 1 under different inner diameters of the second lead segment.
  • Fig. 7 and Fig. 8 respectively show the temperature distribution curve of the epoxy board and the heat leakage heat distribution curve at the bottom of the current lead when the current lead structure of the high temperature superconducting cable of the present invention is applied in Example 2, under different lengths of the second lead segment.
  • the length of the second lead wire segment is longer, and the heat flux at the bottom of the current lead wire is smaller, that is, the leakage heat of the current lead wire is smaller.
  • Fig. 9 and Fig. 10 are the temperature distribution curve of the epoxy board, the heat leakage heat distribution curve and the current at the bottom of the current lead when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 2, under different inner diameters of the second lead segment. Lead axial temperature distribution curve.
  • the length of the second lead segment should be as long as possible.
  • the inner diameter of the second lead segment should not be larger than 50mm. Considering the mechanical strength, it is not recommended that the wall thickness of the current lead is too small. Therefore, the optimized parameters of the second lead segment are: length 610mm, inner diameter 40mm.
  • the beneficial effect of the present invention is that, compared with the prior art, the structure and shape of the existing current leads adopt the method of opening hollow slots inside, the structure is simple, the thermal field distribution is significantly optimized, and the heat leakage of the current leads is reduced.
  • the design of the current lead wire provides reliable support; the current lead wire adopting this structure is easy to process and manufacture, easy to install and maintain, and is beneficial to engineering popularization and application.

Abstract

A high-temperature superconductive cable current lead structure and a design method therefor. The high-temperature superconductive cable current lead structure comprises a plurality of metal bars, which are arranged in parallel along a lead axis, the metal bars keeping a preset distance therebetween, and each metal bar comprising a first lead section, a second lead section and a third lead section, wherein a bottom end of the first lead section is in contact with a liquid nitrogen surface, and a top end of the first lead section is connected to a bottom end of the second lead section; a top end of the second lead section is connected to a bottom end of the third lead section, and a top end of the third lead section is connected to a room-temperature wiring terminal; and the first lead section and the third lead section are both a solid metal bar, the second lead section is a hollow metal bar, and the top end of the second lead section is not beyond the position of an epoxy plate. By means of providing an internal hollow channel, the structure is simple, significantly optimizes the distribution of a thermal field, reduces the heat leakage of a current lead, and provides a reliable support for a subsequent current lead design. A current lead which uses this structure is easy to process and manufacture, is convenient for installation and maintenance, and facilitates the popularization and application of a project.

Description

高温超导电缆电流引线结构及其设计方法High temperature superconducting cable current lead structure and its design method 技术领域technical field
本发明涉及高温超导电缆电流引线技术领域,更具体地,涉及高温超导电缆电流引线结构及其设计方法。The invention relates to the technical field of high-temperature superconducting cable current leads, and more particularly, to the structure and design method of the high-temperature superconducting cable current leads.
背景技术Background technique
高温超导电缆具有传输功率大、电流密度高、损耗低和环境友好等优点。高温超导电流引线是一种复合电流引线,在低温段采用高温超导材料,在室温与高温超导材料之间采用铜或铜合金等导电材料,作为陶瓷材料的高温氧化物超导材料的热导率很低,正常工作时不产生热量,因而注入液氮容器的热量非常小,在常规电流引线部分,由于缩小了引线两端的温差,引线漏热也相应减小。High-temperature superconducting cables have the advantages of high transmission power, high current density, low loss and environmental friendliness. The high-temperature superconducting current lead is a composite current lead. It uses high-temperature superconducting materials in the low-temperature section, and uses conductive materials such as copper or copper alloys between room temperature and high-temperature superconducting materials. It is used as a high-temperature oxide superconducting material for ceramic materials. The thermal conductivity is very low, and no heat is generated during normal operation, so the heat injected into the liquid nitrogen container is very small. In the conventional current lead part, because the temperature difference between the two ends of the lead is reduced, the heat leakage of the lead is also reduced accordingly.
但是,电流引线本身具有一定的电阻,因而在传输电流时要产生热量,这些热量的一部分由引线末端传入低温容器。小型超导电缆的运行电流小,对电流引线可以不作特殊考虑;但是,在大型超导电缆中,电流引线漏热在很大程度上决定着超导电缆在正常运行时所需的冷却容量。因此,在大型超导电缆的设计中,电流引线的设计十分讲究,必须仔细考虑引线各个部分的设计方法。电流引线的设计就是要在满足超导电缆运行电流要求的前提下,尽可能得减小流入低温容器的热量。However, the current lead itself has a certain resistance, so heat is generated when the current is transmitted, and part of the heat is transferred to the cryogenic container from the end of the lead. The operating current of small superconducting cables is small, so there is no special consideration for the current leads; however, in large superconducting cables, the heat leakage of the current leads largely determines the cooling capacity required by the superconducting cables during normal operation. Therefore, in the design of a large superconducting cable, the design of the current lead is very particular, and the design method of each part of the lead must be carefully considered. The design of the current lead is to reduce the heat flowing into the cryogenic container as much as possible under the premise of meeting the operating current requirements of the superconducting cable.
通过研究发现,在一定的电流下,电流引线漏热与制作引线的材料有关,一旦引线材料确定后,则引线的漏热与引线的尺寸、形状密切相关,因此,引线尺寸、形状的优化十分重要。由电流引线传入低温容器的漏热包括传导热和焦耳热。加大电流引线的截面积,可以减小焦耳热,但会增加由传导热引起的漏热;而减小电流引线的截面积,情况则刚好相反。因此,在引线各项参数已知的情况下,存在一个热损耗最小的长衡比L/A,即引线长度与横截面积的比值,使得引线末端流入超导电缆低温容器的热量最小。Through research, it is found that under a certain current, the heat leakage of the current lead is related to the material of the lead. Once the material of the lead is determined, the heat leakage of the lead is closely related to the size and shape of the lead. Therefore, the optimization of the size and shape of the lead is very important. important. The leakage heat transferred from the current leads to the cryogenic container includes conduction heat and Joule heat. Increasing the cross-sectional area of the current lead can reduce Joule heat, but it will increase the heat leakage caused by conduction heat; while reducing the cross-sectional area of the current lead, the situation is just the opposite. Therefore, when the parameters of the lead wire are known, there is a length balance ratio L/A with the minimum heat loss, that is, the ratio of the lead wire length to the cross-sectional area, so that the heat flowing into the cryogenic container of the superconducting cable at the end of the lead wire is the smallest.
现有技术中,中国发明专利(CN110323325)公开了一种珀尔帖电流引线装置,通过在现有的铜或铜合金引线插入由热电材料碲化铋形成的电流引线,能够在电流引线通过电流时将电流引线低温端的热量传递到室温端,并且由于碲化铋材料的热导率仅为铜材料的0.4%,在没有电流通过时,能够减少电流引线造成的漏热。In the prior art, the Chinese invention patent (CN110323325) discloses a Peltier current lead device. By inserting a current lead formed of thermoelectric material bismuth telluride into the existing copper or copper alloy lead, the current lead can be passed through the current lead. The heat from the low temperature end of the current lead is transferred to the room temperature end, and since the thermal conductivity of the bismuth telluride material is only 0.4% of that of the copper material, the heat leakage caused by the current lead can be reduced when no current passes.
现有技术中,电流引线常常设计成类似热交换器的形式,以尽可能的减小通过电流引线向 低温容器的漏热,用不同材料制成的电流引线有不同的最低漏热,在给定材料的基础上,进一步优化电流引线的尺寸来使引线漏热接近最小值;利用低温冷却液容器中冷却液蒸发出来的冷却气体带走电流引线上的传导热和焦耳热,即采用气冷电流引线结构,充分利用冷却气体的显热将大大降低电流引线的漏热,从而减小冷却液的蒸发量。In the prior art, the current leads are often designed in the form of a heat exchanger to minimize the heat leakage through the current leads to the cryogenic container. The current leads made of different materials have different minimum heat leakage. On the basis of determining the material, further optimize the size of the current lead to make the heat leakage of the lead close to the minimum value; use the cooling gas evaporated from the coolant in the low-temperature coolant container to take away the conduction heat and Joule heat on the current lead, that is, use air cooling The current lead structure, making full use of the sensible heat of the cooling gas will greatly reduce the heat leakage of the current lead, thereby reducing the evaporation of the cooling liquid.
中国发明专利(CN110994534)公开了一种基于蒸发冷却的多段式电流引线,第一引线段包裹超导电缆和引线,第二引线段增大引线与液氮之间的换热面积、加强引线与液氮之间的换热,第三引线段增大引线与蒸发氮气的换热面积、加强引线与蒸发氮气的换热、降低引线的温度、减少引线的漏热,第四引线段从第三引线段向室温端实现温度过渡;其中第三引线段采用引线截面上两个方向互相垂直且平行排列多根铜排的排列方式,各铜排之间保持预设的间距。中国发明专利(CN107068324)公开了一种6kA高温超导电流引线,其中铜换热器段采用30根直径6mm的铜棒,并呈内层10根、外层20根的排布方式。Chinese invention patent (CN110994534) discloses a multi-section current lead based on evaporative cooling. The first lead segment wraps the superconducting cable and the lead, and the second lead segment increases the heat exchange area between the lead and liquid nitrogen, and strengthens the connection between the lead and the liquid nitrogen. For heat exchange between liquid nitrogen, the third lead section increases the heat exchange area between the lead and evaporated nitrogen, strengthens the heat exchange between the lead and evaporated nitrogen, reduces the temperature of the lead, and reduces the heat leakage of the lead. The temperature transition is realized from the lead segment to the room temperature end; the third lead segment adopts the arrangement of multiple copper bars arranged in parallel in two directions perpendicular to each other on the lead cross section, and a preset distance is maintained between each copper bar. Chinese invention patent (CN107068324) discloses a 6kA high-temperature superconducting current lead, in which 30 copper rods with a diameter of 6 mm are used in the copper heat exchanger section, and are arranged in an arrangement of 10 inner layers and 20 outer layers.
综上,需要进一步优化引线结构,减小由焦耳热以及外部传入热量产生的电流引线漏热。To sum up, it is necessary to further optimize the lead structure to reduce the heat leakage of the current lead caused by Joule heat and external heat.
发明内容Contents of the invention
为解决现有技术中存在的不足,本发明的目的在于,提供一种高温超导电缆电流引线结构及其设计方法,通过优化电流引线结构,以减小电流引线的漏热量。In order to solve the deficiencies in the prior art, the object of the present invention is to provide a high-temperature superconducting cable current lead structure and a design method thereof, by optimizing the current lead structure, the heat leakage of the current lead can be reduced.
本发明采用如下的技术方案。The present invention adopts the following technical solutions.
高温超导电缆电流引线结构,采用沿引线轴方向平行排列多根金属棒,各根金属棒之间保持预设的间距。The current lead structure of the high-temperature superconducting cable adopts a plurality of metal rods arranged in parallel along the direction of the lead wire axis, and a preset distance is maintained between each metal rod.
金属棒包括第一引线段、第二引线段和第三引线段;其中,第一引线段的底端接触液氮液面,第一引线段的顶端连接第二引线段的底端;第二引线段的顶端连接第三引线段的底端,第三引线段的顶端连接室温接线端子;第二引线段的顶端不超过环氧板位置。The metal rod comprises a first lead segment, a second lead segment and a third lead segment; wherein, the bottom end of the first lead segment contacts the liquid nitrogen liquid level, and the top of the first lead segment connects to the bottom end of the second lead segment; The top of the lead segment is connected to the bottom of the third lead segment, and the top of the third lead segment is connected to the room temperature terminal; the top of the second lead segment does not exceed the position of the epoxy board.
其中,第一引线段和第三引线段是实心金属棒,第二引线段是空心金属棒。Wherein, the first lead segment and the third lead segment are solid metal rods, and the second lead segment is a hollow metal rod.
高温超导电缆电流引线结构的设计方法的步骤如下:The steps of the design method of the high temperature superconducting cable current lead structure are as follows:
步骤1,测量高温超导电缆终端内液氮液面至室温接线端子之间的距离、液氮液面至环氧板之间的距离;分别确定电流引线中第一引线段、第二引线段和第三引线段的长度; Step 1, measure the distance between the liquid nitrogen liquid surface in the high-temperature superconducting cable terminal and the room temperature terminal, and the distance between the liquid nitrogen liquid surface and the epoxy board; respectively determine the first lead segment and the second lead segment in the current lead and the length of the third lead segment;
步骤2,测量电流引线的外径,根据电流引线的额定电流,设置电流引线中第二引线段的内径初始值;Step 2, measure the outer diameter of the current lead, and set the initial value of the inner diameter of the second lead segment in the current lead according to the rated current of the current lead;
步骤3,测量液氮液面温度、环氧板位置温度和室温接线端子温度;Step 3, measure liquid nitrogen liquid surface temperature, epoxy board position temperature and room temperature wiring terminal temperature;
步骤4,基于电流引线的热场和电场的耦合模型,采用仿真手段,以电流引线漏热最小为目标函数,从第二引线段的内径初始值开始,优化第二引线段的长度和内径;Step 4, based on the coupling model of the thermal field and the electric field of the current lead, using simulation means, with the minimum heat leakage of the current lead as the objective function, starting from the initial value of the inner diameter of the second lead segment, optimizing the length and inner diameter of the second lead segment;
步骤5,根据第二引线段的长度和内径的优化结果,重新确定电流引线中第一引线段和第三引线段的长度。Step 5, according to the optimization results of the length and inner diameter of the second lead segment, re-determine the lengths of the first lead segment and the third lead segment in the current lead.
优选地,步骤1包括:Preferably, step 1 includes:
步骤1.1,以液氮液面至室温接线端子之间的距离作为电流引线中第一引线段、第二引线段和第三引线段的总长;Step 1.1, taking the distance between the liquid nitrogen liquid level and the room temperature terminal as the total length of the first lead segment, the second lead segment and the third lead segment in the current lead;
步骤1.2,以液氮液面为第一引线段的底端,据此确定第一引线段的顶端;Step 1.2, taking the liquid nitrogen liquid level as the bottom end of the first lead segment, and determining the top of the first lead segment accordingly;
步骤1.3,以第一引线段的顶端为第二引线段的底端,第二引线段的顶端不超过环氧板的位置,据此确定第二引线段的长度;Step 1.3, taking the top of the first lead segment as the bottom end of the second lead segment, and the top of the second lead segment does not exceed the position of the epoxy board, thereby determining the length of the second lead segment;
步骤1.4,以第二引线段的顶端为第三引线段的底端,以室温接线端子的位置为第三引线段的顶端,据此确定第三引线段的长度。Step 1.4, taking the top of the second lead segment as the bottom end of the third lead segment, taking the position of the room temperature terminal as the top of the third lead segment, and determining the length of the third lead segment accordingly.
进一步,步骤1.2中,第一引线段的长度不小于200mm。Further, in step 1.2, the length of the first lead segment is not less than 200mm.
进一步,在步骤2中,电流引线中第一引线段、第二引线段和第三引线段的外径相同,第二引线段的内径满足30mm≤d≤56mm<D,其中d表示第二引线段的内径,D表示第二引线段的外径。Further, in step 2, the outer diameters of the first lead segment, the second lead segment and the third lead segment in the current lead are the same, and the inner diameter of the second lead segment satisfies 30mm≤d≤56mm<D, where d represents the second lead The inner diameter of the segment, D represents the outer diameter of the second lead segment.
进一步,在步骤4中,电流引线的热场模型满足如下关系式:Further, in step 4, the thermal field model of the current lead satisfies the following relationship:
Figure PCTCN2021143426-appb-000001
Figure PCTCN2021143426-appb-000001
Figure PCTCN2021143426-appb-000002
Figure PCTCN2021143426-appb-000002
式中,ρ表示电流引线材料的密度,C p表示电流引线材料的恒压热容,
Figure PCTCN2021143426-appb-000003
表示电流引线外部流体的流速,
Figure PCTCN2021143426-appb-000004
表示电流引线的热通量,k表示电流引线材料的导热系数,
Figure PCTCN2021143426-appb-000005
表示梯度算子,T表示电流引线的温度,Q e表示电流引线的焦耳热损耗。
In the formula, ρ represents the density of the current lead material, C p represents the constant pressure heat capacity of the current lead material,
Figure PCTCN2021143426-appb-000003
Indicates the flow velocity of the fluid outside the current lead,
Figure PCTCN2021143426-appb-000004
represents the heat flux of the current lead, k represents the thermal conductivity of the current lead material,
Figure PCTCN2021143426-appb-000005
Represents the gradient operator, T represents the temperature of the current lead, and Q e represents the Joule heat loss of the current lead.
进一步,在步骤4中,电流引线的电场模型满足如下关系式:Further, in step 4, the electric field model of the current lead satisfies the following relationship:
Figure PCTCN2021143426-appb-000006
Figure PCTCN2021143426-appb-000006
Figure PCTCN2021143426-appb-000007
Figure PCTCN2021143426-appb-000007
Figure PCTCN2021143426-appb-000008
Figure PCTCN2021143426-appb-000008
式中,
Figure PCTCN2021143426-appb-000009
表示电流引线的电流密度,
Figure PCTCN2021143426-appb-000010
表示流过电流引线的电流与引线截面的比值,
Figure PCTCN2021143426-appb-000011
表 示电流引线的电场密度,V表示电流引线的电势,σ表示电流引线材料的电导率,Q e表示电流引线的焦耳热损耗,
Figure PCTCN2021143426-appb-000012
表示梯度算子。
In the formula,
Figure PCTCN2021143426-appb-000009
represents the current density of the current lead,
Figure PCTCN2021143426-appb-000010
Indicates the ratio of the current flowing through the current lead to the cross section of the lead,
Figure PCTCN2021143426-appb-000011
represents the electric field density of the current lead, V represents the electric potential of the current lead, σ represents the electrical conductivity of the current lead material, Q e represents the Joule heat loss of the current lead,
Figure PCTCN2021143426-appb-000012
Represents the gradient operator.
进一步,步骤4中,电流引线漏热最小为目标函数的约束条件是环氧板位置温度最接近室温接线端子温度。Further, in step 4, the minimum heat leakage of the current lead is the constraint condition of the objective function that the temperature at the position of the epoxy board is closest to the temperature of the terminal at room temperature.
进一步,步骤4中,电流引线漏热最小为目标函数的的边界条件包括:电流引线顶端温度为环境温度、电流引线底端温度为液氮沸腾温度、除了顶端和底端以外的电流引线边界均为热绝缘。Further, in step 4, the boundary conditions where the minimum heat leakage of the current lead is the objective function include: the temperature at the top of the current lead is the ambient temperature, the temperature at the bottom of the current lead is the boiling temperature of liquid nitrogen, and the boundaries of the current lead except the top and bottom are uniform For thermal insulation.
本发明的有益效果在于,与现有技术相比,在现有电流引线结构和形状上采取内部开空心槽的方式,结构简单,显著优化了热场分布,降低了电流引线漏热,为后续电流引线设计提供可靠的支撑;采用该结构的电流引线易于加工制造、便于安装检修,有利于工程推广应用。The beneficial effect of the present invention is that, compared with the prior art, the structure and shape of the existing current leads adopt the method of opening hollow slots inside, the structure is simple, the thermal field distribution is significantly optimized, and the heat leakage of the current leads is reduced. The design of the current lead wire provides reliable support; the current lead wire adopting this structure is easy to process and manufacture, easy to install and maintain, and is beneficial to engineering popularization and application.
附图说明Description of drawings
图1为本发明高温超导电缆电流引线结构的轴对称模型示意图;Fig. 1 is a schematic diagram of an axisymmetric model of a high temperature superconducting cable current lead structure of the present invention;
图2为本发明高温超导电缆电流引线结构的设计方法的流程图;Fig. 2 is the flow chart of the design method of high temperature superconducting cable current lead structure of the present invention;
图3为本发明高温超导电缆电流引线结构在实施例1中应用时,第二引线段不同长度下,环氧板温度分布曲线图;Fig. 3 is a temperature distribution curve of the epoxy board under different lengths of the second lead segment when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 1;
图4为本发明高温超导电缆电流引线结构在实施例1中应用时,第二引线段不同长度下,电流引线底部漏热量分布曲线图;Fig. 4 is a curve diagram of heat leakage heat distribution at the bottom of the current lead when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 1 under different lengths of the second lead segment;
图5为本发明高温超导电缆电流引线结构在实施例1中应用时,第二引线段不同内径下,环氧板温度分布曲线图;Fig. 5 is a graph showing the temperature distribution curve of the epoxy board under different inner diameters of the second lead section when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 1;
图6为本发明高温超导电缆电流引线结构在实施例1中应用时,第二引线段不同内径下,电流引线底部漏热量分布曲线图;Fig. 6 is a curve diagram of heat leakage heat distribution at the bottom of the current lead when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 1 under different inner diameters of the second lead segment;
图7为本发明高温超导电缆电流引线结构在实施例2中应用时,第二引线段不同长度下,环氧板温度分布曲线图;Fig. 7 is a temperature distribution curve of the epoxy board under different lengths of the second lead segment when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 2;
图8为本发明高温超导电缆电流引线结构在实施例2中应用时,第二引线段不同长度下,电流引线底部漏热量分布曲线图;Fig. 8 is a curve diagram of heat leakage heat distribution at the bottom of the current lead when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 2 under different lengths of the second lead segment;
图9为本发明高温超导电缆电流引线结构在实施例2中应用时,第二引线段不同内径下,环氧板温度分布曲线图;Fig. 9 is a curve diagram of the temperature distribution of the epoxy board under different inner diameters of the second lead section when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 2;
图10为本发明高温超导电缆电流引线结构在实施例2中应用时,第二引线段不同内径下, 电流引线底部漏热量分布曲线图。Fig. 10 is a curve diagram of heat leakage heat distribution at the bottom of the current lead under different inner diameters of the second lead segment when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 2.
具体实施方式detailed description
下面结合附图对本申请作进一步描述。以下实施例仅用于更加清楚地说明本发明的技术方案,而不能以此来限制本申请的保护范围。The application will be further described below in conjunction with the accompanying drawings. The following examples are only used to illustrate the technical solutions of the present invention more clearly, but not to limit the protection scope of the present application.
电流引线作为终端中连接变压器(常温293K)和超导电缆(液氮77K)的部件,其自身工作时所产生的焦耳热和来自外部的热量会通过它导入到液氮中,造成部分热损耗,增加制冷机的负担。因此,在保证电流引线通流能力的情况下,尽量减少电流引线的热损耗,是电流引线结构设计中需要考虑的重点。The current lead is used as a part connecting the transformer (normal temperature 293K) and the superconducting cable (liquid nitrogen 77K) in the terminal, and the Joule heat generated by itself and the heat from the outside will be introduced into the liquid nitrogen through it, causing part of the heat loss , increasing the burden on the refrigerator. Therefore, in the case of ensuring the current flow capacity of the current lead, minimizing the heat loss of the current lead is the key point to be considered in the design of the current lead structure.
本发明提出的高温超导电缆电流引线结构,采用沿引线轴方向平行排列多根金属棒,各根金属棒之间保持预设的间距。The high-temperature superconducting cable current lead structure proposed by the present invention adopts a plurality of metal rods arranged in parallel along the direction of the lead wire axis, and a preset distance is maintained between each metal rod.
针对由焦耳热及外部传入热量产生的热损耗,可通过合理的结构设计将高温超导电缆电流引线的热损耗尽可能的减少。优化设计思路通常为采取中空设计,即在电流引线内部挖空一部分,挖空部分呈现为圆柱体,从而优化热场分布,降低电流引线漏热。一般可通过仿真计算,给出该圆柱体空槽的最优化尺寸,为后续电流引线的设计提供依据。In view of the heat loss caused by Joule heat and external heat, the heat loss of the current lead of the high-temperature superconducting cable can be reduced as much as possible through reasonable structural design. The optimization design idea is usually to adopt a hollow design, that is, to hollow out a part inside the current lead, and the hollowed out part appears as a cylinder, so as to optimize the thermal field distribution and reduce the heat leakage of the current lead. Generally, the optimal size of the hollow slot of the cylinder can be given through simulation calculation, which provides a basis for the design of the subsequent current lead.
从均匀性上考虑,电流引线及其内部挖空部分均采取圆柱体结构。因此在仿真计算中,几何建模采取轴对称模型,便于简化模型,图1为本发明高温超导电缆电流引线结构的轴对称模型示意图。Considering the uniformity, the current lead and its internal hollowed out part adopt a cylindrical structure. Therefore, in the simulation calculation, the geometric modeling adopts an axisymmetric model, which facilitates the simplification of the model. Fig. 1 is a schematic diagram of the axisymmetric model of the high temperature superconducting cable current lead structure of the present invention.
如图1,金属棒包括第一引线段1、第二引线段2和第三引线段3;其中,As shown in Figure 1, the metal rod includes a first lead segment 1, a second lead segment 2 and a third lead segment 3; wherein,
第一引线段1的底端接触液氮液面,第一引线段1的顶端连接第二引线段2的底端;第二引线段2的顶端连接第三引线段3的底端,第三引线段3的顶端连接室温接线端子;第二引线段2的顶端不超过环氧板位置。The bottom end of the first lead segment 1 contacts the liquid nitrogen liquid level, and the top of the first lead segment 1 connects the bottom end of the second lead segment 2; the top end of the second lead segment 2 connects the bottom end of the third lead segment 3, and the third The top of the lead segment 3 is connected to the room temperature terminal; the top of the second lead segment 2 does not exceed the position of the epoxy board.
第一引线段1和第三引线段3是实心金属棒,第二引线段2是空心金属棒。The first lead segment 1 and the third lead segment 3 are solid metal rods, and the second lead segment 2 is a hollow metal rod.
本发明优选实施例中,电流引线采用中空设计,在其内部挖槽。挖槽时槽底部离电流引线底部201mm。In a preferred embodiment of the present invention, the current lead adopts a hollow design, and grooves are dug inside it. When digging the groove, the bottom of the groove is 201mm away from the bottom of the current lead.
如图2,高温超导电缆电流引线设计方法的步骤如下:As shown in Figure 2, the steps of the design method for the current lead of the high-temperature superconducting cable are as follows:
步骤1,测量高温超导电缆终端内液氮液面至室温接线端子之间的距离、液氮液面至环氧板之间的距离;分别确定电流引线中第一引线段、第二引线段和第三引线段的长度。 Step 1, measure the distance between the liquid nitrogen liquid surface in the high-temperature superconducting cable terminal and the room temperature terminal, and the distance between the liquid nitrogen liquid surface and the epoxy board; respectively determine the first lead segment and the second lead segment in the current lead and the length of the third lead segment.
具体地,步骤1包括:Specifically, step 1 includes:
步骤1.1,以液氮液面至室温接线端子之间的距离作为电流引线中第一引线段、第二引线段和第三引线段的总长;Step 1.1, taking the distance between the liquid nitrogen liquid level and the room temperature terminal as the total length of the first lead segment, the second lead segment and the third lead segment in the current lead;
步骤1.2,以液氮液面为第一引线段的底端,并设置第一引线段的长度不小于200mm,据此确定第一引线段的顶端;Step 1.2, take the liquid nitrogen liquid level as the bottom end of the first lead segment, and set the length of the first lead segment to be not less than 200mm, and determine the top of the first lead segment accordingly;
步骤1.3,以第一引线段的顶端为第二引线段的底端,第二引线段的顶端不超过环氧板的位置,据此确定第二引线段的长度;Step 1.3, taking the top of the first lead segment as the bottom end of the second lead segment, and the top of the second lead segment does not exceed the position of the epoxy board, thereby determining the length of the second lead segment;
步骤1.4,以第二引线段的顶端为第三引线段的底端,以室温接线端子的位置为第三引线段的顶端,据此确定第三引线段的长度。Step 1.4, taking the top of the second lead segment as the bottom end of the third lead segment, taking the position of the room temperature terminal as the top of the third lead segment, and determining the length of the third lead segment accordingly.
本发明优选实施例中,从图1可以看出,以液氮液面为轴向坐标的起始端点,即x=0,则第一引线段长度为201mm,环氧板位置为x=811mm。In the preferred embodiment of the present invention, as can be seen from Fig. 1, take the liquid nitrogen liquid level as the starting point of the axial coordinates, that is, x=0, then the length of the first lead segment is 201mm, and the position of the epoxy board is x=811mm .
步骤2,测量电流引线的外径,根据电流引线的额定电流,设置电流引线中第二引线段的内径初始值。Step 2, measure the outer diameter of the current lead, and set the initial value of the inner diameter of the second lead segment in the current lead according to the rated current of the current lead.
具体地,在步骤2中,电流引线中第一引线段、第二引线段和第三引线段的外径相同,第二引线段的内径满足30mm≤d≤56mm<D,其中d表示第二引线段的内径,D表示第二引线段的外径。Specifically, in step 2, the outer diameters of the first lead segment, the second lead segment, and the third lead segment in the current lead are the same, and the inner diameter of the second lead segment satisfies 30mm≤d≤56mm<D, where d represents the second The inner diameter of the lead segment, D represents the outer diameter of the second lead segment.
步骤3,测量液氮液面温度、环氧板位置温度和室温接线端子温度。Step 3, measure the temperature of the liquid nitrogen liquid surface, the temperature of the epoxy board position and the temperature of the terminal at room temperature.
本发明优选实施例中,在正常运行状况下,终端内部的压力约为0.4MPa,电流引线的底端与液氮的液面接触。不同压力下液氮的沸腾温度详见表1。In a preferred embodiment of the present invention, under normal operating conditions, the pressure inside the terminal is about 0.4 MPa, and the bottom end of the current lead is in contact with the liquid nitrogen surface. The boiling temperatures of liquid nitrogen at different pressures are shown in Table 1.
表1不同压力下液氮的沸腾温度Table 1 Boiling temperature of liquid nitrogen under different pressures
绝对压力(MPA)Absolute pressure (MPA) 沸点(℃)Boiling point (°C) 热力学温度(K)Thermodynamic temperature (K)
0.0150.015 -209-209 64.1564.15
0.020.02 -207.3-207.3 65.8565.85
0.030.03 -204.8-204.8 68.3568.35
0.040.04 -202.9-202.9 70.2570.25
0.050.05 -201.3-201.3 71.8571.85
0.10.1 -196.9-196.9 76.2576.25
0.20.2 -189.5-189.5 83.6583.65
0.30.3 -185.243-185.243 87.907387.9073
0.40.4 -181.917-181.917 91.232791.2327
绝对压力(MPA)Absolute pressure (MPA) 沸点(℃)Boiling point (°C) 热力学温度(K)Thermodynamic temperature (K)
0.50.5 -179.155-179.155 93.99593.995
0.60.6 -176.77-176.77 96.380596.3805
0.70.7 -174.657-174.657 98.493498.4934
0.80.8 -172.751-172.751 100.3987100.3987
0.90.9 -171.01-171.01 102.1397102.1397
11 -169.403-169.403 103.7469103.7469
1.11.1 -167.907-167.907 105.2427105.2427
1.21.2 -166.506-166.506 106.6439106.6439
1.31.3 -165.186-165.186 107.9638107.9638
1.41.4 -163.937-163.937 109.2127109.2127
1.51.5 -162.751-162.751 110.399110.399
22 -157.552-157.552 115.5985115.5985
33 -149.534-149.534 123.6162123.6162
由表1可知,0.4MPa下液氮的沸腾温度约为90K,因此电流引线底端的温度,即液氮液面温度,为90K;电流引线顶端处于常温,即室温接线端子温度,为293.15K;其余边界均为热绝缘。It can be seen from Table 1 that the boiling temperature of liquid nitrogen at 0.4MPa is about 90K, so the temperature at the bottom of the current lead, that is, the liquid nitrogen liquid surface temperature, is 90K; the top of the current lead is at normal temperature, that is, the temperature of the room temperature terminal is 293.15K; The remaining boundaries are thermally insulated.
步骤4,基于电流引线的热场和电场的耦合模型,采用仿真手段,以电流引线漏热最小为目标函数,从第二引线段的内径初始值开始,优化第二引线段的长度和内径。Step 4: Based on the coupling model of the thermal field and electric field of the current lead, using simulation means, taking the minimum heat leakage of the current lead as the objective function, starting from the initial value of the inner diameter of the second lead segment, optimizing the length and inner diameter of the second lead segment.
具体地,在步骤4中,电流引线的热场和电场的耦合模型满足如下关系式:Specifically, in step 4, the coupling model of the thermal field and electric field of the current lead satisfies the following relationship:
热场模型:Thermal field model:
Figure PCTCN2021143426-appb-000013
Figure PCTCN2021143426-appb-000013
Figure PCTCN2021143426-appb-000014
Figure PCTCN2021143426-appb-000014
电场模型:Electric field model:
Figure PCTCN2021143426-appb-000015
Figure PCTCN2021143426-appb-000015
Figure PCTCN2021143426-appb-000016
Figure PCTCN2021143426-appb-000016
Figure PCTCN2021143426-appb-000017
Figure PCTCN2021143426-appb-000017
式中,In the formula,
ρ表示电流引线材料的密度,ρ denotes the density of the current lead material,
C p表示电流引线材料的恒压热容, C p represents the constant pressure heat capacity of the current lead material,
Figure PCTCN2021143426-appb-000018
表示电流引线外部流体的流速,
Figure PCTCN2021143426-appb-000018
Indicates the flow velocity of the fluid outside the current lead,
Figure PCTCN2021143426-appb-000019
表示电流引线的热通量,
Figure PCTCN2021143426-appb-000019
represents the heat flux in the current leads,
k表示电流引线材料的导热系数,k represents the thermal conductivity of the current lead material,
T表示电流引线的温度,T represents the temperature of the current lead,
Figure PCTCN2021143426-appb-000020
表示电流引线的电流密度,
Figure PCTCN2021143426-appb-000020
represents the current density of the current lead,
Figure PCTCN2021143426-appb-000021
表示流过电流引线的电流与引线截面的比值,
Figure PCTCN2021143426-appb-000021
Indicates the ratio of the current flowing through the current lead to the cross section of the lead,
Figure PCTCN2021143426-appb-000022
表示电流引线的电场密度,
Figure PCTCN2021143426-appb-000022
represents the electric field density of the current lead,
V表示电流引线的电势,V represents the potential of the current lead,
σ表示电流引线材料的电导率,σ denotes the electrical conductivity of the current lead material,
Q e表示电流引线的焦耳热损耗, Qe represents the Joule heat loss in the current leads,
Figure PCTCN2021143426-appb-000023
表示梯度算子。
Figure PCTCN2021143426-appb-000023
Represents the gradient operator.
本发明优选实施例中,电流引线的材料为铝,不同温度下,铝的密度变化不大,故可看作常数。电流引线的主要材料属性参数设置如下:In a preferred embodiment of the present invention, the material of the current leads is aluminum, and the density of aluminum does not change much at different temperatures, so it can be regarded as a constant. The main material property parameters for the current leads are set as follows:
电流引线外部流体的总体流速为0,即
Figure PCTCN2021143426-appb-000024
为0,因此热场模型中可不考虑恒压热容随温度变化的影响,恒压热容可给定一个常值,设置电流引线材料的恒压热容C p为900J/(kg·K)。
The overall flow velocity of the fluid outside the current lead is 0, that is
Figure PCTCN2021143426-appb-000024
is 0, so the thermal field model does not need to consider the influence of constant pressure heat capacity with temperature change, the constant pressure heat capacity can be given a constant value, and the constant pressure heat capacity C p of the current lead material is set to 900J/(kg K) .
导热系数及电导率随温度的变化而变化,不同温度下,铝导热系数k的数值如表2所示:The thermal conductivity and electrical conductivity change with the temperature. At different temperatures, the values of the thermal conductivity k of aluminum are shown in Table 2:
表2铝在不同温度下的导热系数k(单位:W/(m·K))Table 2 Thermal conductivity k of aluminum at different temperatures (unit: W/(m K))
温度(K)temperature (K) 4.24.2 2929 7676 273273 373373
kk 32003200 57005700 420420 238238 230230
由表2看出,在76K-273K间导热系数可看作是线性变化,通过拟合可给出导热系数k随温度变化的线性表达式;已知铝的电阻温度系数为0.0043/K,在T=293.15K时,铝的电导率σ为3.44828e7S/m,由此可得电导率σ随温度变化的线性表达式;因此设置电流引线材料的导热系数k为491.5+(420-238)/(77[K]-273[K])×T,单位为W/(m·K),电流引线材料的电导率σ为3.44828e7*(1+0.0043[1/K]×(293.15[K]-T)),单位为S/m。It can be seen from Table 2 that the thermal conductivity between 76K-273K can be regarded as a linear change, and the linear expression of the thermal conductivity k changing with temperature can be given by fitting; it is known that the temperature coefficient of resistance of aluminum is 0.0043/K. When T=293.15K, the electrical conductivity σ of aluminum is 3.44828e7S/m, from which the linear expression of the electrical conductivity σ changing with temperature can be obtained; therefore, the thermal conductivity k of the current lead material is set to 491.5+(420-238)/ (77[K]-273[K])×T, the unit is W/(m K), the conductivity σ of the current lead material is 3.44828e7*(1+0.0043[1/K]×(293.15[K] -T)), the unit is S/m.
设置电流引线材料的密度ρ为2700kg/m 3The density ρ of the current lead material is set to be 2700 kg/m 3 .
具体地,步骤4中,电流引线漏热最小为目标函数的约束条件是环氧板位置温度最接近室温接线端子温度。Specifically, in step 4, the minimum heat leakage of the current lead is the constraint condition of the objective function that the temperature at the position of the epoxy board is closest to the temperature of the terminal at room temperature.
步骤4中,电流引线漏热最小为目标函数的的边界条件包括:电流引线顶端温度为环境温度、电流引线底端温度为液氮沸腾温度、除了顶端和底端以外的电流引线边界均为热绝缘。In step 4, the boundary conditions where the minimum heat leakage of the current lead is the objective function include: the temperature at the top of the current lead is the ambient temperature, the temperature at the bottom of the current lead is the boiling temperature of liquid nitrogen, and the boundaries of the current lead except the top and bottom are heat insulation.
步骤5,根据第二引线段的长度和内径的优化结果,重新确定电流引线中第一引线段和第三引线段的长度。Step 5, according to the optimization results of the length and inner diameter of the second lead segment, re-determine the lengths of the first lead segment and the third lead segment in the current lead.
采用本发明提出的电流引线设计方法,仿真过程包括:Adopt the current lead design method that the present invention proposes, simulation process comprises:
(1)模拟工况:设置实施例1的计算工况为电流I=1kA、实施例2的计算工况为电流I=2kA。(1) Simulated working conditions: the calculated working conditions of embodiment 1 are set to current I=1kA, and the calculated working conditions of embodiment 2 are set to current I=2kA.
(2)仿真时,先固定第二引线段的内径,仿真第二引线段的不同长度对电流引线漏热的影响;在确定第二引线段的长度的情况下,再仿真第二引线段的内径对电流引线漏热的影响;(2) During simulation, first fix the inner diameter of the second lead segment, and simulate the influence of different lengths of the second lead segment on the leakage heat of the current lead; in the case of determining the length of the second lead segment, then simulate the second lead segment Effect of inner diameter on heat leakage of current leads;
(3)通过比较结果得到最优参数。(3) The optimal parameters are obtained by comparing the results.
实施例1。Example 1.
图3、图4分别为本发明高温超导电缆电流引线结构在实施例1中应用时,第二引线段不同长度下,环氧板温度分布曲线图和电流引线底部漏热量分布曲线图。Fig. 3 and Fig. 4 respectively show the temperature distribution curve of the epoxy board and the heat leakage heat distribution curve at the bottom of the current lead when the current lead structure of the high temperature superconducting cable of the present invention is applied in Example 1 under different lengths of the second lead segment.
由仿真曲线图看出,在电流I=1kA的情况下,当第二引线段的内径确定时,第二引线段的长度越长,电流引线底部热通量越小,即电流引线漏热量越小;但是考虑到,环氧板处的温度应尽可能的接近室温,因此,从实际情况出发,在第二引线段的顶端不超过环氧板的情况下,第二引线段的长度应尽可能的长,即L=610mm。It can be seen from the simulation graph that under the condition of current I=1kA, when the inner diameter of the second lead segment is determined, the longer the length of the second lead segment, the smaller the heat flux at the bottom of the current lead, that is, the smaller the heat leakage of the current lead is. small; but considering that the temperature at the epoxy board should be as close to room temperature as possible, therefore, from the actual situation, the length of the second lead segment should be as long as possible under the condition that the top of the second lead segment does not exceed the epoxy board. Possible length, namely L=610mm.
图5、图6分别为本发明高温超导电缆电流引线结构在实施例1中应用时,第二引线段不同内径下,环氧板温度分布曲线图和电流引线底部漏热量分布曲线图。Fig. 5 and Fig. 6 respectively show the temperature distribution curve of the epoxy board and the heat leakage heat distribution curve at the bottom of the current lead when the current lead structure of the high temperature superconducting cable of the present invention is applied in Example 1 under different inner diameters of the second lead segment.
由仿真曲线图看出,当第二引线段的长度确定时,第二引线段的内径d=56mm时,电流引线底部的漏热量最小。It can be seen from the simulation graph that when the length of the second lead segment is determined and the inner diameter of the second lead segment is d=56mm, the heat leakage at the bottom of the current lead is the smallest.
实施例2。Example 2.
图7、图8分别为本发明高温超导电缆电流引线结构在实施例2中应用时,第二引线段不同长度下,环氧板温度分布曲线图和电流引线底部漏热量分布曲线图。Fig. 7 and Fig. 8 respectively show the temperature distribution curve of the epoxy board and the heat leakage heat distribution curve at the bottom of the current lead when the current lead structure of the high temperature superconducting cable of the present invention is applied in Example 2, under different lengths of the second lead segment.
由仿真曲线图看出,在电流I=2kA的情况下,当第二引线段的内径确定时,第二引线段的长度越长,电流引线底部热通量越小,即电流引线漏热量越小;但是考虑到,环氧板处的温度应尽可能的接近室温,因此,从实际情况出发,在第二引线段的顶端不超过环氧板的情况下, 第二引线段的长度应尽可能的长,即L=610mm。Seen from the simulation graph, under the situation of electric current I=2kA, when the inner diameter of the second lead wire section is determined, the length of the second lead wire segment is longer, and the heat flux at the bottom of the current lead wire is smaller, that is, the leakage heat of the current lead wire is smaller. However, considering that the temperature at the epoxy board should be as close to room temperature as possible, therefore, from the actual situation, the length of the second lead segment should be as long as possible under the condition that the top of the second lead segment does not exceed the epoxy board. Possible length, namely L=610mm.
图9、图10分别为本发明高温超导电缆电流引线结构在实施例2中应用时,第二引线段不同内径下,环氧板温度分布曲线图、电流引线底部漏热量分布曲线图和电流引线轴向温度分布曲线图。Fig. 9 and Fig. 10 are the temperature distribution curve of the epoxy board, the heat leakage heat distribution curve and the current at the bottom of the current lead when the current lead structure of the high temperature superconducting cable of the present invention is applied in Embodiment 2, under different inner diameters of the second lead segment. Lead axial temperature distribution curve.
由仿真曲线图看出,当第二引线段的长度确定时,第二引线段的内径d=50mm时,电流引线底部的漏热量最小。It can be seen from the simulation graph that when the length of the second lead segment is determined and the inner diameter of the second lead segment is d=50mm, the heat leakage at the bottom of the current lead is the smallest.
综上所述,根据实施例1和实施例2的仿真结果可知,为了让电流引线底部的漏热量尽可能小的同时,还要让环氧板处的温度尽可能的接近室温,因此第二引线段的顶端不易超过环氧板所处的位置,在此前提下,第二引线段的长度应尽可能的长。其次,当电流I=1kA,第二引线段的内径d为56mm时,电流引线底部的热流最小;当电流I=2kA,第二引线段的内径d为50mm时,电流引线底部的热流最小。可见,第二引线段的内径的大小不应大于50mm。从机械强度方面的考虑,不建议电流引线的壁厚过小。因此,第二引线段经优化后的参数为:长度610mm、内径40mm。In summary, according to the simulation results of Embodiment 1 and Embodiment 2, in order to keep the heat leakage at the bottom of the current lead as small as possible, and to make the temperature at the epoxy board as close to room temperature as possible, the second It is difficult for the top of the lead segment to exceed the position of the epoxy board. On this premise, the length of the second lead segment should be as long as possible. Secondly, when the current I=1kA and the inner diameter d of the second lead segment is 56mm, the heat flow at the bottom of the current lead is the smallest; when the current I=2kA and the inner diameter d of the second lead segment is 50mm, the heat flow at the bottom of the current lead is the smallest. It can be seen that the inner diameter of the second lead segment should not be larger than 50mm. Considering the mechanical strength, it is not recommended that the wall thickness of the current lead is too small. Therefore, the optimized parameters of the second lead segment are: length 610mm, inner diameter 40mm.
本发明的有益效果在于,与现有技术相比,在现有电流引线结构和形状上采取内部开空心槽的方式,结构简单,显著优化了热场分布,降低了电流引线漏热,为后续电流引线设计提供可靠的支撑;采用该结构的电流引线易于加工制造、便于安装检修,有利于工程推广应用。The beneficial effect of the present invention is that, compared with the prior art, the structure and shape of the existing current leads adopt the method of opening hollow slots inside, the structure is simple, the thermal field distribution is significantly optimized, and the heat leakage of the current leads is reduced. The design of the current lead wire provides reliable support; the current lead wire adopting this structure is easy to process and manufacture, easy to install and maintain, and is beneficial to engineering popularization and application.
本发明申请人结合说明书附图对本发明的实施示例做了详细的说明与描述,但是本领域技术人员应该理解,以上实施示例仅为本发明的优选实施方案,详尽的说明只是为了帮助读者更好地理解本发明精神,而并非对本发明保护范围的限制,相反,任何基于本发明的发明精神所作的任何改进或修饰都应当落在本发明的保护范围之内。The applicant of the present invention has made a detailed description and description of the implementation examples of the present invention in conjunction with the accompanying drawings, but those skilled in the art should understand that the above implementation examples are only preferred implementations of the present invention, and the detailed description is only to help readers better To understand the spirit of the present invention rather than limit the protection scope of the present invention, on the contrary, any improvement or modification made based on the spirit of the present invention shall fall within the protection scope of the present invention.

Claims (10)

  1. 高温超导电缆电流引线结构,采用沿引线轴方向平行排列多根金属棒,各根金属棒之间保持预设的间距,其特征在于,The high temperature superconducting cable current lead structure adopts a plurality of metal rods arranged in parallel along the direction of the lead wire axis, and maintains a preset distance between each metal rod, and is characterized in that,
    所述金属棒包括第一引线段、第二引线段和第三引线段;The metal rod includes a first lead segment, a second lead segment and a third lead segment;
    第一引线段的底端接触液氮液面,第一引线段的顶端连接第二引线段的底端;第二引线段的顶端连接第三引线段的底端,第三引线段的顶端连接室温接线端子;所述第二引线段的顶端不超过环氧板位置。The bottom end of the first lead segment is in contact with the liquid nitrogen liquid surface, and the top end of the first lead segment is connected to the bottom end of the second lead segment; the top end of the second lead segment is connected to the bottom end of the third lead segment, and the top end of the third lead segment is connected to Room temperature terminal; the top of the second lead segment does not exceed the position of the epoxy board.
  2. 根据权利要求1所述的高温超导电缆电流引线结构,其特征在于,The high temperature superconducting cable current lead structure according to claim 1, characterized in that,
    所述第一引线段和所述第三引线段是实心金属棒,所述第二引线段是空心金属棒。The first lead segment and the third lead segment are solid metal rods, and the second lead segment is a hollow metal rod.
  3. 适用于权利要求1或2所述的高温超导电缆电流引线结构的高温超导电缆电流引线结构的设计方法,其特征在于,The method for designing the high temperature superconducting cable current lead structure applicable to the high temperature superconducting cable current lead structure described in claim 1 or 2, characterized in that,
    所述设计方法的步骤如下:The steps of the design method are as follows:
    步骤1,测量高温超导电缆终端内液氮液面至室温接线端子之间的距离、液氮液面至环氧板之间的距离;分别确定电流引线中第一引线段、第二引线段和第三引线段的长度;Step 1, measure the distance between the liquid nitrogen liquid surface in the high-temperature superconducting cable terminal and the room temperature terminal, and the distance between the liquid nitrogen liquid surface and the epoxy board; respectively determine the first lead segment and the second lead segment in the current lead and the length of the third lead segment;
    步骤2,测量电流引线的外径,根据电流引线的额定电流,设置电流引线中第二引线段的内径初始值;Step 2, measure the outer diameter of the current lead, and set the initial value of the inner diameter of the second lead segment in the current lead according to the rated current of the current lead;
    步骤3,测量液氮液面温度、环氧板位置温度和室温接线端子温度;Step 3, measure liquid nitrogen liquid surface temperature, epoxy board position temperature and room temperature wiring terminal temperature;
    步骤4,基于电流引线的热场和电场的耦合模型,采用仿真手段,以电流引线漏热最小为目标函数,从第二引线段的内径初始值开始,优化第二引线段的长度和内径;Step 4, based on the coupling model of the thermal field and the electric field of the current lead, using simulation means, with the minimum heat leakage of the current lead as the objective function, starting from the initial value of the inner diameter of the second lead segment, optimizing the length and inner diameter of the second lead segment;
    步骤5,根据第二引线段的长度和内径的优化结果,重新确定电流引线中第一引线段和第三引线段的长度。Step 5, according to the optimization results of the length and inner diameter of the second lead segment, re-determine the lengths of the first lead segment and the third lead segment in the current lead.
  4. 根据权利要求3所述的高温超导电缆电流引线结构的设计方法,其特征在于,The design method of the high temperature superconducting cable current lead structure according to claim 3, characterized in that,
    步骤1包括:Step 1 includes:
    步骤1.1,以液氮液面至室温接线端子之间的距离作为电流引线中第一引线段、第二引线段和第三引线段的总长;Step 1.1, taking the distance between the liquid nitrogen liquid level and the room temperature terminal as the total length of the first lead segment, the second lead segment and the third lead segment in the current lead;
    步骤1.2,以液氮液面为第一引线段的底端,据此确定第一引线段的顶端;Step 1.2, taking the liquid nitrogen liquid level as the bottom end of the first lead segment, and determining the top of the first lead segment accordingly;
    步骤1.3,以第一引线段的顶端为第二引线段的底端,第二引线段的顶端不超过环氧板的位置,据此确定第二引线段的长度;Step 1.3, taking the top of the first lead segment as the bottom end of the second lead segment, and the top of the second lead segment does not exceed the position of the epoxy board, thereby determining the length of the second lead segment;
    步骤1.4,以第二引线段的顶端为第三引线段的底端,以室温接线端子的位置为第三引线段的顶端,据此确定第三引线段的长度。Step 1.4, taking the top of the second lead segment as the bottom end of the third lead segment, taking the position of the room temperature terminal as the top of the third lead segment, and determining the length of the third lead segment accordingly.
  5. 根据权利要求4所述的高温超导电缆电流引线结构的设计方法,其特征在于,The design method of the high temperature superconducting cable current lead structure according to claim 4, characterized in that,
    步骤1.2中,所述第一引线段的长度不小于200mm。In step 1.2, the length of the first lead segment is not less than 200mm.
  6. 根据权利要求3所述的高温超导电缆电流引线结构的设计方法,其特征在于,The design method of the high temperature superconducting cable current lead structure according to claim 3, characterized in that,
    在步骤2中,电流引线中第一引线段、第二引线段和第三引线段的外径相同,第二引线段的内径满足30mm≤d≤56mm<D,其中d表示第二引线段的内径,D表示第二引线段的外径。In step 2, the outer diameters of the first lead segment, the second lead segment and the third lead segment in the current lead are the same, and the inner diameter of the second lead segment satisfies 30mm≤d≤56mm<D, where d represents the diameter of the second lead segment Inner diameter, D represents the outer diameter of the second lead segment.
  7. 根据权利要求3所述的高温超导电缆电流引线结构的设计方法,其特征在于,The design method of the high temperature superconducting cable current lead structure according to claim 3, characterized in that,
    在步骤4中,所述电流引线的热场模型满足如下关系式:In step 4, the thermal field model of the current lead satisfies the following relationship:
    Figure PCTCN2021143426-appb-100001
    Figure PCTCN2021143426-appb-100001
    Figure PCTCN2021143426-appb-100002
    Figure PCTCN2021143426-appb-100002
    式中,In the formula,
    ρ表示电流引线材料的密度,ρ denotes the density of the current lead material,
    C p表示电流引线材料的恒压热容, C p represents the constant pressure heat capacity of the current lead material,
    Figure PCTCN2021143426-appb-100003
    表示电流引线外部流体的流速,
    Figure PCTCN2021143426-appb-100003
    Indicates the flow velocity of the fluid outside the current lead,
    Figure PCTCN2021143426-appb-100004
    表示电流引线的热通量,
    Figure PCTCN2021143426-appb-100004
    represents the heat flux in the current leads,
    k表示电流引线材料的导热系数,k represents the thermal conductivity of the current lead material,
    Figure PCTCN2021143426-appb-100005
    表示梯度算子,
    Figure PCTCN2021143426-appb-100005
    Represents the gradient operator,
    T表示电流引线的温度,T represents the temperature of the current lead,
    Q e表示电流引线的焦耳热损耗。 Q e represents the Joule heat loss in the current leads.
  8. 根据权利要求3所述的高温超导电缆电流引线结构的设计方法,其特征在于,The design method of the high temperature superconducting cable current lead structure according to claim 3, characterized in that,
    在步骤4中,所述电流引线的电场模型满足如下关系式:In step 4, the electric field model of the current lead satisfies the following relationship:
    Figure PCTCN2021143426-appb-100006
    Figure PCTCN2021143426-appb-100006
    Figure PCTCN2021143426-appb-100007
    Figure PCTCN2021143426-appb-100007
    Figure PCTCN2021143426-appb-100008
    Figure PCTCN2021143426-appb-100008
    式中,In the formula,
    Figure PCTCN2021143426-appb-100009
    表示电流引线的电流密度,
    Figure PCTCN2021143426-appb-100009
    represents the current density of the current lead,
    Figure PCTCN2021143426-appb-100010
    表示流过电流引线的电流与引线截面的比值,
    Figure PCTCN2021143426-appb-100010
    Indicates the ratio of the current flowing through the current lead to the cross section of the lead,
    Figure PCTCN2021143426-appb-100011
    表示电流引线的电场密度,
    Figure PCTCN2021143426-appb-100011
    represents the electric field density of the current lead,
    V表示电流引线的电势,V represents the potential of the current lead,
    σ表示电流引线材料的电导率,σ denotes the electrical conductivity of the current lead material,
    Q e表示电流引线的焦耳热损耗, Qe represents the Joule heat loss in the current leads,
    Figure PCTCN2021143426-appb-100012
    表示梯度算子。
    Figure PCTCN2021143426-appb-100012
    Represents the gradient operator.
  9. 根据权利要求3所述的高温超导电缆电流引线结构的设计方法,其特征在于,The design method of the high temperature superconducting cable current lead structure according to claim 3, characterized in that,
    步骤4中,电流引线漏热最小为目标函数的约束条件是环氧板位置温度最接近室温接线端子温度。In step 4, the minimum heat leakage of the current leads is the constraint condition of the objective function that the temperature at the position of the epoxy board is closest to the temperature of the terminal at room temperature.
  10. 根据权利要求9所述的高温超导电缆电流引线结构的设计方法,其特征在于,The design method of the high temperature superconducting cable current lead structure according to claim 9, characterized in that,
    步骤4中,电流引线漏热最小为目标函数的的边界条件包括:电流引线顶端温度为环境温度、电流引线底端温度为液氮沸腾温度、除了顶端和底端以外的电流引线边界均为热绝缘。In step 4, the boundary conditions where the minimum heat leakage of the current lead is the objective function include: the temperature at the top of the current lead is the ambient temperature, the temperature at the bottom of the current lead is the boiling temperature of liquid nitrogen, and the boundaries of the current lead except the top and bottom are heat insulation.
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