Method for reinforcing explosion-proof pipe in subarea by induction fusion welding and surfacing welding on fire facing side of boiler pipeline

文档序号:1839151 发布日期:2021-11-16 浏览:14次 中文

阅读说明:本技术 一种锅炉管道向火侧感应熔焊与堆焊分区强化防爆管的方法 (Method for reinforcing explosion-proof pipe in subarea by induction fusion welding and surfacing welding on fire facing side of boiler pipeline ) 是由 曲作鹏 田欣利 赵文博 于 2021-08-17 设计创作,主要内容包括:本发明涉及感应熔焊与堆焊分区强化防爆管的方法技术领域,具体为一种锅炉管道向火侧感应熔焊与堆焊分区强化防爆管的方法,分为以下步骤:自动喷砂机对管排管顶区表面进行喷砂粗化处理;等离子弧自动堆焊管顶部分,厚度约2.5mm;采用专用工装严格控制和矫正管排变形;自动喷砂机对管排除管顶已堆焊部分以外表面进行喷砂处理;在除堆焊表面以外的管排表面火焰喷涂制备镍基自熔合金涂层,厚度约0.5mm;对喷涂层进行高频感应重熔,确定高频感应重熔的电源频率、加热比功率、加热启动时间、管排移动速度等工艺参数;可免除厂家的“爆管”之忧,服役寿命与完全堆焊基本相当,既可实现“用得放心”,而且包括中小企业在内的大多数企业也都“用得起”。(The invention relates to the technical field of a method for reinforcing an explosion-proof pipe in a subarea by induction fusion welding and surfacing, in particular to a method for reinforcing an explosion-proof pipe in a subarea by induction fusion welding and surfacing on a fire side of a boiler pipeline, which comprises the following steps: carrying out sand blasting and coarsening treatment on the surface of the top area of the pipe arrangement pipe by an automatic sand blasting machine; the top part of the tube is automatically welded by plasma arc surfacing, and the thickness is about 2.5 mm; strictly controlling and correcting the deformation of the tube rows by adopting a special tool; carrying out sand blasting treatment on the surface of the pipe except the part of the pipe top subjected to surfacing welding by an automatic sand blasting machine; flame spraying is carried out on the surfaces of the tube rows except the surfacing surface to prepare a nickel-based self-fluxing alloy coating, and the thickness is about 0.5 mm; carrying out high-frequency induction remelting on the spray coating, and determining technological parameters of power frequency, heating specific power, heating starting time, tube bank moving speed and the like of the high-frequency induction remelting; the method can avoid the trouble of tube explosion of manufacturers, the service life of the method is basically equivalent to that of complete surfacing, the purpose of use can be guaranteed, and most enterprises including small and medium-sized enterprises can also be used.)

1. The utility model provides a boiler pipeline is to fire side induction fusion welding and build-up welding subregion method of strengthening explosion-proof pipe which characterized in that: comprises the following steps:

(1) preparing surfacing and spraying powder materials, and purchasing inconel625 high-temperature alloy welding wire surfacing materials; the nickel-based self-fluxing alloy powder induction welding material is purchased.

(2) The automatic sand blasting machine carries out sand blasting and coarsening treatment on the surface of the pipe arranging top area (8).

(3) The plasma arc automatically welds the top part of the tube with a thickness of about 2.5 mm.

(4) And the deformation of the tube bank is strictly controlled and corrected by adopting a special tool.

(5) And (3) carrying out sand blasting treatment on the surface of the part of the pipe excluding the top of the pipe which is subjected to surfacing welding by an automatic sand blasting machine.

(6) And (3) preparing a nickel-based self-fluxing alloy coating on the surface of the tube bank except the surfacing surface by flame spraying, wherein the thickness of the nickel-based self-fluxing alloy coating is about 0.5 mm.

(7) And performing high-frequency induction remelting on the sprayed layer, and determining the technological parameters of high-frequency induction remelting, such as power frequency, heating specific power, heating starting time, tube bank moving speed and the like.

(8) And a special tool is adopted to strictly control the deformation of the tube bank in the induction remelting process.

(9) And performing alloy repair welding on the positions of the overlaying welding and the induction welding seam by using inconel 625.

(10) And detecting the quality of the coating on the surface of the tube bank, and manually repairing the local defects.

2. The method for reinforcing the explosion-proof pipe by the fire side induction fusion welding and the overlaying welding subarea of the boiler pipeline according to the claim 1, which is characterized in that: the automatic sand blasting machine comprises a sand blasting machine body and a sand blasting auxiliary mechanism of the sand blasting machine, wherein the sand blasting machine body is connected with the sand blasting auxiliary mechanism of the sand blasting machine through a plurality of pipelines (6).

3. The method for reinforcing the explosion-proof pipe by the fire side induction fusion welding and the overlaying welding subarea of the boiler pipeline according to the claim 2, which is characterized in that: sandblast machine sandblast complementary unit is including transport mechanism (4), transport mechanism (4) one side symmetry sets up two sets of support (1), the equidistance sets up a plurality of arcs (2) on support (1), place calandria (3) on arc (2), connect through fin (7) between calandria (3), set up sandblast mechanism (5) that have the swing function on transport mechanism (4).

4. The method for reinforcing the explosion-proof pipe by the fire side induction fusion welding and the overlaying welding subarea of the boiler pipeline according to the claim 3, which is characterized in that: sandblast mechanism (5) are including supporting seat (501), transport mechanism (4) are connected in supporting seat (501), and supporting seat (501) one side sets up gyro wheel (502), gyro wheel (502) rotate and connect transport mechanism (4) lateral wall, gyro wheel (502) connecting axle (503), set up the bearing on axle (503), the extension board that bearing embedding supporting seat (501) one side set up, disc (504) is connected to axle (503) one end, disc (504) one side sets up pull rod (505), pull rod (505) one end sets up diaphragm (506), set up receiving mechanism (507) on diaphragm (506).

5. The method for reinforcing the explosion-proof pipe by the fire side induction fusion welding and the overlaying welding subarea of the boiler pipeline according to the claim 4, which is characterized in that: diaphragm (506) package rubbing board body (5061), plate body (5061) one end joint support seat (501), the equidistance sets up a plurality of rectangular holes (5062) on plate body (5061), bilateral symmetry sets up two sets of arc holes (5063) in rectangular hole (5062), set up rectangular hole two (5064) on plate body (5061).

6. The method for reinforcing the explosion-proof pipe by the fire side induction fusion welding and the overlaying welding subarea of the boiler pipeline according to the claim 4, which is characterized in that: the supporting mechanism (507) comprises a sand blasting pipe (5071), the sand blasting pipe (5071) is provided with a plurality of parts, the sand blasting pipe (5071) is located in a first rectangular hole (5062), two groups of second shafts (5072) are symmetrically connected to two sides of the sand blasting pipe (5071), one end of each second shaft (5072) is provided with a bearing, the bearing is rotatably connected with an arc-shaped hole (5063), two groups of second plates (5073) are slidably connected to two ends of the sand blasting pipe (5071), one end of each second plate (5073) is connected with one connecting rod (5074), one end of each first rod (5074) is connected with a sliding plate (5076), the sliding plate (5076) is slidably connected with a guide pillar (5075), and the sand blasting pipe (5071) is connected with a pipeline (6).

7. The method for reinforcing the explosion-proof pipe by the fire side induction fusion welding and the overlaying welding subarea of the boiler pipeline according to the claim 4, which is characterized in that: two ends of the pull rod (505) are provided with two groups of pin shafts, one end of each pin shaft is provided with a bearing, one group of bearing is embedded into the sliding plate (5076), and the other group of bearing is embedded into the disc (504) and deviates from the axis side.

8. The method for reinforcing the explosion-proof pipe by the fire side induction fusion welding and the overlaying welding subarea of the boiler pipeline according to the claim 6, which is characterized in that: the second plate (5073) is equidistantly provided with a plurality of through holes, vertical bearings are embedded into the through holes, and the vertical bearings are connected with the sand blasting pipes (5071) in a sliding mode.

9. The method for reinforcing the explosion-proof pipe by the fire side induction fusion welding and the overlaying welding subarea of the boiler pipeline according to the claim 6, which is characterized in that: the guide post (5075) is positioned in the second rectangular hole (5064), the guide post (5075) is connected with an upright bearing in a sliding mode, and the upright bearing is embedded into the sliding plate (5076).

Technical Field

The invention relates to the technical field of methods for reinforcing an explosion-proof pipe in a subarea mode through induction fusion welding and surfacing, in particular to a method for reinforcing an explosion-proof pipe in a subarea mode through induction fusion welding and surfacing on a fire side of a boiler pipeline.

Background

With the accelerated implementation of the national strategy for developing new energy, the domestic waste incineration power generation industry develops rapidly in recent years. At present, the bottleneck problem restricting the technical development of the waste incineration power generation is that the high-temperature corrosion of the heating surface of the four tubes of the boiler is serious, the tube explosion phenomenon is frequently caused by the reduction of the corrosion, the accidents seriously threaten the safety of personnel and equipment, the unplanned production halt maintenance is increasingly frequent, and the economic benefit is seriously influenced, thereby greatly influencing the development of the waste incineration power generation industry.

The protection of the coating is the most effective protection method against high-temperature corrosion. For years, the most applied coating protection is the inconel625 alloy surfacing method which is recognized as the most reliable protection technology with the longest protection life (up to 10 years) at present, but has the defects of low efficiency, high cost and difficult bearing of many medium and small boiler manufacturers. 2017 Jiangsu Kehuan company firstly adopts a composite method of flame spraying nickel-based self-fluxing alloy and high-frequency induction remelting to prepare a coating on the surface of a heating surface of a water wall, and the coating has a good application effect in a high-temperature corrosion environment of a boiler for years. Not only the performance and service life of the coating are higher than those of all methods except surfacing (>6 years), but also the coating thickness is far less than that of surfacing (0.5mm and 2.5mm), so that the preparation efficiency and the cost are both better than those of surfacing, and the coating is popular in the industry and has good development momentum.

Secondly before the surfacing treatment and after the surfacing treatment are carried out on the tube bank, the sand blasting operation is carried out on the surfacing part of the tube bank by an automatic sand blasting machine, and the existing sand blasting operation is as follows: the invention provides a method for induction fusion welding and surfacing subarea reinforced explosion-proof tubes of boiler pipelines, which is used for solving the problems.

Disclosure of Invention

The invention aims to provide a method for reinforcing an explosion-proof pipe by induction fusion welding and overlaying welding subareas to the fire side of a boiler pipeline, so as to solve the problems in the background technology.

In order to achieve the purpose, the invention provides the following technical scheme: a method for reinforcing an explosion-proof pipe in a partitioned mode through induction fusion welding and surfacing on a fire side of a boiler pipeline comprises the following steps:

(1) preparing surfacing and spraying powder materials, and purchasing inconel625 high-temperature alloy welding wire surfacing materials; the nickel-based self-fluxing alloy powder induction welding material is purchased.

(2) And carrying out sand blasting and coarsening treatment on the surface of the top area of the pipe bank by using an automatic sand blasting machine.

(3) The plasma arc automatically welds the top part of the tube with a thickness of about 2.5 mm.

(4) And the deformation of the tube bank is strictly controlled and corrected by adopting a special tool.

(5) And (3) carrying out sand blasting treatment on the surface of the part of the pipe excluding the top of the pipe which is subjected to surfacing welding by an automatic sand blasting machine.

(6) And (3) preparing a nickel-based self-fluxing alloy coating on the surface of the tube bank except the surfacing surface by flame spraying, wherein the thickness of the nickel-based self-fluxing alloy coating is about 0.5 mm.

(7) And performing high-frequency induction remelting on the sprayed layer, and determining the technological parameters of high-frequency induction remelting, such as power frequency, heating specific power, heating starting time, tube bank moving speed and the like.

(8) And a special tool is adopted to strictly control the deformation of the tube bank in the induction remelting process.

(9) And performing alloy repair welding on the positions of the overlaying welding and the induction welding seam by using inconel 625.

(10) Detecting the quality of the coating on the surface of the tube bank, and manually repairing local defects;

preferably, the automatic sand blasting machine comprises a sand blasting machine body and a sand blasting auxiliary mechanism of the sand blasting machine, and the sand blasting machine body is connected with the sand blasting auxiliary mechanism of the sand blasting machine through a plurality of pipelines.

Preferably, sandblast complementary unit of sand blasting machine includes transport mechanism, and transport mechanism one side symmetry sets up two sets of supports, and the equidistance sets up a plurality of arc walls on the support, places the calandria on the arc wall, connects through fin between the calandria, sets up the sandblast mechanism that has the swing function on the transport mechanism.

Preferably, sandblast mechanism includes the supporting seat, and supporting seat connection transport mechanism, supporting seat one side sets up the gyro wheel, and the gyro wheel rotates to connect transport mechanism lateral wall, and gyro wheel connecting axle is one, sets up the bearing on the axle one, and the extension board that bearing embedding supporting seat one side set up, axle one end connect the disc, and disc one side sets up the pull rod, and pull rod one end sets up the diaphragm, sets up receiving mechanism on the diaphragm.

Preferably, the diaphragm includes the plate body, and plate body one end connection supporting seat, the equidistant a plurality of rectangular holes that set up of plate body, and bilateral symmetry sets up two sets of arc holes in the rectangular hole one, sets up rectangular hole two on the plate body.

Preferably, the supporting mechanism comprises a plurality of sand blasting pipes, the sand blasting pipes are arranged in a first rectangular hole, two sets of shafts are symmetrically connected to two sides of each sand blasting pipe, a bearing is arranged at one end of each shaft, the bearings are connected with arc-shaped holes in a rotating mode, two sets of plates are slidably connected to two ends of each sand blasting pipe, one end of each plate is connected with the first connecting rod, one end of each rod is connected with a sliding plate, the sliding plates are slidably connected with guide pillars, and the sand blasting pipes are connected with pipelines.

Preferably, two ends of the pull rod are provided with two groups of pin shafts, one end of each pin shaft is provided with a bearing, one group of bearings are embedded into the sliding plate, and the other group of bearings are embedded into one side of the disc deviated from the axis.

Preferably, a plurality of through holes are formed in the second plate at equal intervals, vertical bearings are embedded into the through holes, and the vertical bearings are connected with the sand blasting pipes in a sliding mode.

Preferably, the guide post is located in the second rectangular hole, the guide post is connected with the vertical bearing in a sliding mode, and the vertical bearing is embedded into the sliding plate.

Compared with the prior art, the invention has the beneficial effects that:

1. the surfacing is the most reliable and mature method in all the current coating protection, unfortunately, the cost is high, and each square meter exceeds 1.4 ten thousand yuan, for example, the protective coating on the heating surface of a boiler water wall is generally thousands of square meters to thousands of square meters, and the protection cost of tens of millions makes many middle and small enterprises to be prosperous. Compared with surfacing welding, the protection effect of the induction fusion welding method is between primary and secondary, and the main advantages are that the cost is only 60% of that of surfacing welding, and the production efficiency is several times higher. The invention is especially suitable for the parts with the worst working condition and the highest pipe explosion probability in the boiler, such as the middle upper part and the ceiling of the water cooled wall of the first flue, the second flue and the like, because the pipe top part is specially strengthened. In terms of cost, the composite coatings produced by the present invention are about 1/4 higher than full fusion welds and about 1/3 lower than full weld overlays, between the two. The method can avoid the trouble of tube explosion of manufacturers, the service life of the method is basically equivalent to that of complete surfacing, the purpose of use can be guaranteed, and most enterprises including small and medium-sized enterprises can also be used.

2. The technology of preparing the fusion welding coating after overlaying is adopted, the melting point of the overlaying layer is considered to be 1350 ℃ and is higher than the remelting temperature 1050 ℃, namely the remelting and heating process can not influence the overlaying layer. In the remelting process, the tube top coating which often occurs in the remelting process can not occur, and the phenomenon of flowing due to the longer heating time is avoided, so that the fusion welding quality is ensured;

3. through the cooperation settlement of transport mechanism and sandblast mechanism, not only make the sand blasting pipe more even to the pipe-roof district sandblast of calandria, be favorable to the sand blasting of sand blasting pipe to the pipe-roof district simultaneously and handle, improved the pipe-roof district sandblast quality.

Drawings

FIG. 1 is a schematic structural view of a structural water wall according to the present invention;

FIG. 2 is a schematic view of a structural water wall breach of the present invention;

FIG. 3 is a schematic cross-sectional view of a water-cooled wall burst tube at the bottom of the structure of the present invention;

FIG. 4 is a schematic view of the structural tube top weld overlay and other fusion welds combination of the present invention;

FIG. 5 is a schematic view of the auxiliary mechanism of the sand blasting machine of the structure of the invention;

FIG. 6 is a schematic view of a blasting mechanism according to the present invention.

In the figure: 1. a support; 2. an arc-shaped slot; 3. arranging pipes; 4. a carrying mechanism; 5. a sand blasting mechanism; 6. a pipeline; 7. a fin; 8. a tube top region; 9. a blast opening; 10. overlaying a welding layer; 11. welding layer welding; 501. a supporting seat; 502. a roller; 503. a first shaft; 504. a disc; 505. a pull rod; 506. a transverse plate; 507. a carrying mechanism; 5061. a plate body; 5062. a first rectangular hole; 5063. an arc-shaped hole; 5064. a second rectangular hole; 5071. a sand blasting pipe; 5072. a second shaft; 5073. a second plate; 5074. a first rod; 5075. a guide post; 5076. a slide board.

Detailed Description

The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.

Implementation scheme one

Referring to fig. 1 to 4, a method for reinforcing an explosion-proof pipe by a fire side induction fusion welding and a bead welding subarea of a boiler pipeline comprises the following steps:

(1) preparing surfacing and spraying powder materials, and purchasing inconel625 high-temperature alloy welding wire surfacing materials; the nickel-based self-fluxing alloy powder induction welding material is purchased.

(2) And (3) carrying out sand blasting and coarsening treatment on the surface of the pipe arrangement top area 8 by using an automatic sand blasting machine.

(3) The plasma arc automatically welds the top part of the tube with a thickness of about 2.5 mm.

(4) And the deformation of the tube bank is strictly controlled and corrected by adopting a special tool.

(5) And (3) carrying out sand blasting treatment on the surface of the part of the pipe excluding the top of the pipe which is subjected to surfacing welding by an automatic sand blasting machine.

(6) And (3) preparing a nickel-based self-fluxing alloy coating on the surface of the tube bank except the surfacing surface by flame spraying, wherein the thickness of the nickel-based self-fluxing alloy coating is about 0.5 mm.

(7) And performing high-frequency induction remelting on the sprayed layer, and determining the technological parameters of high-frequency induction remelting, such as power frequency, heating specific power, heating starting time, tube bank moving speed and the like.

(8) And a special tool is adopted to strictly control the deformation of the tube bank in the induction remelting process.

(9) And performing alloy repair welding on the positions of the overlaying welding and the induction welding seam by using inconel 625.

(10) Detecting the quality of the coating on the surface of the tube bank, and manually repairing local defects;

aiming at the characteristic that the position of a pipeline explosion hole 9 is concentrated near the tops of pipelines such as a water wall, a superheater and the like, the invention provides a strategy for intensively protecting the area at the top of the pipeline. The method is characterized in that a pipe top part of a fire side of a pipeline is subjected to surfacing, a surfacing area is about a part from the pipe top to 1/2 of the pipe root, and the rest parts are protected by induction fusion welding. The technological route is that the surfacing of the top part of the tube is firstly completed, and then the nickel-based self-fluxing alloy is sprayed on the rest parts including the lower part of the tube and the surfaces of the fins for induction remelting. In order to prevent the condition that the transition joint of the surfacing and the induction fusion welding is not well jointed, the repair welding is carried out at the joint.

Example II

Referring to fig. 5 to 6, the automatic sand blasting machine comprises a sand blasting machine body and a sand blasting auxiliary mechanism of the sand blasting machine, the sand blasting machine body is connected with the sand blasting auxiliary mechanism of the sand blasting machine through a plurality of pipelines 6, the sand blasting auxiliary mechanism of the sand blasting machine comprises a carrying mechanism 4 (reference model FSL80), two sets of supports 1 are symmetrically arranged on one side of the carrying mechanism 4 (reference model FSL80), a plurality of arc grooves 2 are arranged on the supports 1 at equal intervals, discharge pipes 3 are arranged on the arc grooves 2, the discharge pipes 3 are connected through fins 7, a sand blasting mechanism 5 with a swinging function is arranged on the carrying mechanism 4 (reference model FSL80), the sand blasting mechanism 5 comprises a supporting seat 501, the supporting seat 501 is connected with the carrying mechanism 4 (reference model FSL80), a roller 502 is arranged on one side of the supporting seat 501, the roller 502 is rotatably connected with the side wall of the carrying mechanism 4 (reference model FSL80), the roller 502 is connected with a shaft one 503, a bearing is arranged on the shaft one shaft 503, a support plate is arranged at one side of a bearing embedded support seat 501, one end of a shaft I503 is connected with a disc 504, one side of the disc 504 is provided with a pull rod 505, one end of the pull rod 505 is provided with a transverse plate 506, the transverse plate 506 is provided with a bearing mechanism 507, two ends of the pull rod 505 are provided with two groups of pin shafts, one end of each pin shaft is provided with a bearing, one group of bearings are embedded into a sliding plate 5076, the other group of bearings are embedded into one side of the disc 504 deviated from the axis, when the calandria 3 needs to be overlaid, the calandria 3 is placed on the two groups of supports 1, meanwhile, a pipe top area 8 of the calandria 3 is upwards, so that a sand blasting pipe 5071 on the bearing mechanism 507 is aligned with the pipe top area 8, a carrying mechanism 4 (reference model FSL80) is started, the carrying mechanism 4 (reference model FSL80) drives the sand blasting pipe 5071 on the bearing mechanism 507 to move along the pipe top area 8, meanwhile, the carrying mechanism 4 (reference model FSL80) drives the support seat 501 to move, so that a roller 502 rotates along the side wall of the carrying mechanism 4 (reference model FSL80), the roller 502 rotates the disc 504 through the first shaft 503, the disc 504 moves the sliding plate 507 back and forth through the pull rod 505, the sliding plate 507 moves the second plate 5073 through the first rod 5074, and the second plate 5073 drives the sand blasting pipe 5071 to move back and forth, so that the sand blasting pipe 5071 can blast the pipe top area 8 of the pipe bank 3 more uniformly.

Example III

Referring to fig. 6, the horizontal plate 506 includes a plate body 5061, one end of the plate body 5061 is connected to the support base 501, a plurality of rectangular holes 5062 are equidistantly formed in the plate body 5061, two sets of arc-shaped holes 5063 are symmetrically formed in two sides of the rectangular hole 5062, a rectangular hole 5064 is formed in the plate body 5061, the receiving mechanism 507 includes a sand blasting tube 5071, a plurality of sand blasting tubes 5071 are arranged, the sand blasting tube 5071 is located in the rectangular hole 5062, the sand blasting tube 5071 is bilaterally and symmetrically connected to two sets of shafts 5072, one end of the shaft 5072 is provided with a bearing, the bearing is rotatably connected to the arc-shaped hole 5063, two ends of the sand blasting tube 5071 are slidably connected to the two sets of plates 5073, one end of the plate 5073 is connected to the rod 5074, one end of the rod 5074 is connected to the sliding plate 5076, the sliding plate 5076 is slidably connected to the guide column 5075, the sand blasting tube 5071 is connected to the tube 6, a plurality of through holes are equidistantly formed in the plate 5073, a plurality of vertical bearings are embedded in the through holes, the vertical bearings are slidably connected to the vertical bearings 5071, the vertical bearing is embedded into the sliding plate 5076, wherein the arc-shaped hole 5063 is parallel to the pipe top area 8, when the second plate 5073 drives the sand blasting pipe 5071 to move back and forth along the first rectangular hole 5062, the second shaft 5072 moves along the arc-shaped hole 5063, so that the sand blasting pipe 5071 transversely moves and returns to move longitudinally under the action of the vertical bearing, and the pipe top area 8 is an arc-shaped surface and is set by the second shaft 5072 and the arc-shaped hole 5063, so that the distance between the nozzle of the sand blasting pipe 5071 and the pipe top area 8 is constant, thereby being beneficial to sand blasting treatment of the sand blasting pipe 5071 on the pipe top area 8 and improving the sand blasting quality of the pipe top area 8.

Although embodiments of the present invention have been shown and described, it will be appreciated by those skilled in the art that changes, modifications, substitutions and alterations can be made in these embodiments without departing from the principles and spirit of the invention, the scope of which is defined in the appended claims and their equivalents.

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