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WO2015129382A1 - Continuous steel casting method - Google Patents

Continuous steel casting method Download PDF

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Publication number
WO2015129382A1
WO2015129382A1 PCT/JP2015/052627 JP2015052627W WO2015129382A1 WO 2015129382 A1 WO2015129382 A1 WO 2015129382A1 JP 2015052627 W JP2015052627 W JP 2015052627W WO 2015129382 A1 WO2015129382 A1 WO 2015129382A1
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Prior art keywords
mold
lorentz force
electromagnetic
force density
range
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PCT/JP2015/052627
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French (fr)
Japanese (ja)
Inventor
信宏 岡田
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Nippon Steel Corp
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Nippon Steel and Sumitomo Metal Corp
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Application filed by Nippon Steel and Sumitomo Metal Corp filed Critical Nippon Steel and Sumitomo Metal Corp
Priority to KR1020167024368A priority Critical patent/KR101758034B1/en
Priority to CN201580008825.0A priority patent/CN106029256B/en
Priority to BR112016019404-7A priority patent/BR112016019404B1/en
Priority to EP15754485.9A priority patent/EP3112051B8/en
Priority to PL15754485T priority patent/PL3112051T3/en
Priority to ES15754485T priority patent/ES2738484T3/en
Publication of WO2015129382A1 publication Critical patent/WO2015129382A1/en
Anticipated expiration legal-status Critical
Ceased legal-status Critical Current

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    • BPERFORMING OPERATIONS; TRANSPORTING
    • B22CASTING; POWDER METALLURGY
    • B22DCASTING OF METALS; CASTING OF OTHER SUBSTANCES BY THE SAME PROCESSES OR DEVICES
    • B22D11/00Continuous casting of metals, i.e. casting in indefinite lengths
    • B22D11/10Supplying or treating molten metal
    • B22D11/11Treating the molten metal
    • B22D11/114Treating the molten metal by using agitating or vibrating means
    • B22D11/115Treating the molten metal by using agitating or vibrating means by using magnetic fields
    • BPERFORMING OPERATIONS; TRANSPORTING
    • B22CASTING; POWDER METALLURGY
    • B22DCASTING OF METALS; CASTING OF OTHER SUBSTANCES BY THE SAME PROCESSES OR DEVICES
    • B22D11/00Continuous casting of metals, i.e. casting in indefinite lengths
    • B22D11/16Controlling or regulating processes or operations

Definitions

  • the present invention relates to a method for continuously casting steel by optimally operating an electromagnetic stirring device installed in a mold.
  • This pinhole defect is generated when Ar gas blown into the immersion nozzle enters the molten steel in the mold and is captured by the solidified shell in order to suppress the clogging of the immersion nozzle during continuous casting.
  • this electromagnetic stirring device As a method for suppressing the pinhole defect, it is effective to install an electromagnetic stirring device in the mold.
  • the operating factors of this electromagnetic stirring device include molten steel flow velocity, immersion nozzle, molten steel throughput, Lorentz force, and the like.
  • Patent Document 1 discloses a technique for setting the electromagnetic stirring flow rate at the meniscus position to 10 to 60 cm / s in order to reduce the surface defect occurrence rate of the obtained slab.
  • Patent Document 2 bubbles are formed in the solidified shell using parameters such as the distance between the immersion nozzle and the long side of the mold, the distance in the casting direction of the molten steel discharge hole of the immersion nozzle, the amount of molten steel throughput, and the magnetic flux density at the solidification interface.
  • a technique is disclosed in which the surface defect of a slab resulting from the adhesion of slabs is set to a predetermined value or less.
  • Patent Document 2 describes that the distance between the immersion nozzle and the mold long side is controlled by changing the shape of the immersion nozzle or the shape of the mold.
  • Patent Document 3 discloses that the average value of electromagnetic force in the direction parallel to the mold long side is 3000 to 12000 N / in order to promote the floating of Ar gas bubbles and avoid the entrainment of mold powder in the molten steel.
  • m 3 a local value in a direction parallel to the mold short side -2000 ⁇ 2000N / m 3, the local value of the vertically downward direction exerts an electromagnetic force so that the -1000 ⁇ 1000N / m 3 discloses a technique .
  • the electromagnetic stirrer In continuous casting of steel, the electromagnetic stirrer is the most effective device for suppressing pinhole defects. Even in the techniques disclosed in Patent Documents 1 to 3, the electromagnetic force generated by the electromagnetic stirring device and the appropriate range of the molten steel flow velocity generated by the electromagnetic force are studied in detail.
  • the electromagnetic stirring device is a device that generates Lorentz force in the molten steel in the mold and causes the molten steel to flow.
  • the Lorentz force is generated only in molten steel having electrical conductivity, and is not generated in an extremely low conductivity such as Ar gas bubbles (generally called an insulator).
  • the electromagnetic force generated by the electromagnetic stirrer includes a negative component that causes Ar gas bubbles to gather on the surface of the slab and increases pinhole defects.
  • Non-Patent Document 1 is a mold wall surface
  • 2 is a solidified shell
  • 3 is a solidified interface
  • 4 is a bubble of Ar gas
  • an arrow heading from the lower side to the upper side of the drawing indicates the Lorentz force and the lower side from the upper side of the drawing.
  • An arrow pointing to the side indicates electromagnetic repulsion.
  • Non-Patent Document 2 discloses a thermal fluid simulation in consideration of Lorentz force density acting on molten steel in continuous casting.
  • the problem to be solved by the present invention is that in the case of electromagnetic stirring of molten steel in a mold during continuous casting of steel, in the case of the prior art, focusing on the electromagnetic repulsion generated by the electromagnetic stirring device, a suitable electromagnetic stirring condition is determined. There was no idea to do.
  • the present invention further suppresses the pinhole defect by determining the best current frequency of the electromagnetic stirring device so that the electromagnetic repulsive force generated when electromagnetically stirring the molten steel in the mold can be reduced as much as possible. It is aimed.
  • Lx (N / m 3 ) is a value obtained by averaging the Lorentz force density component in the direction parallel to the mold long side in a range where the iron core that is a component of the electromagnetic stirrer exists.
  • the optimum current frequency of the electromagnetic stirrer is determined so that the electromagnetic repulsive force generated when electromagnetically stirring the molten steel in the mold can be reduced as much as possible, Ar gas bubbles are brought close to the slab surface layer. Collecting can be suppressed as much as possible.
  • the object of the present invention is to further suppress pinhole defects by determining the best current frequency of the electromagnetic stirring device so that the electromagnetic repulsion generated when electromagnetically stirring the molten steel in the mold can be made as small as possible. Realized.
  • the inventors have studied in detail the electromagnetic repulsive force generated in the mold when operating a continuous casting machine with an electromagnetic stirrer installed in the mold. As a result, it is possible to reduce pinhole defects by suppressing the electromagnetic repulsive force. I found out.
  • the mold and electromagnetic stirring device used in the above examination are the same as those described in Patent Document 3 with a general shape and polarity as shown in FIG. 1 when the mold is viewed from above.
  • 11 is a copper mold (hereinafter also simply referred to as a mold)
  • 12 is an immersion nozzle
  • 13 is an electromagnetic stirrer
  • 13a is an iron core core constituting the electromagnetic stirrer 13
  • 13aa is formed on the iron core 13.
  • the teeth portion 13b is a winding wound around the outer periphery of the iron core 13a.
  • FIG. 2 shows the Lorentz force density distribution at the center position in the slab drawing direction of the iron core obtained by numerical analysis simulation.
  • the Lorentz force density means an electromagnetic force (N / m 3 ) per unit molten steel volume.
  • the Lorentz force density distribution shown in FIG. 2 is a slab size of width 1200 mm ⁇ thickness 250 mm, the thickness of the copper plate forming the mold is 25 mm, and the conductivity of the mold is 1.9 ⁇ 10 7 S / m. It is the result of having performed an analysis simulation.
  • the Lorentz force density distribution shown in FIG. 2 is a distribution in which the molten steel in the mold is agitated counterclockwise, and a large Lorentz force along the long side direction of the mold 11 is generated in the vicinity of the wall surface of the mold 11. is doing.
  • the Lorentz force along the wall surface of the mold has many components facing the inside of the mold.
  • Such a Lorentz force directed toward the inside of the mold acts as an electromagnetic repulsive force directed toward the wall surface of the mold against Ar gas bubbles. That is, Ar gas bubbles are transported to the vicinity of the solidified shell interface by electromagnetic repulsion, and pinhole defects increase.
  • the Lorentz force density distribution does not change even when the EMS (Electro-Magnetic Stirrer) current value is increased. That is, when the flow rate is increased by increasing the current value of the electromagnetic stirrer, the effect of suppressing the pinhole defect is obtained by the cleaning effect of the pinhole trapped at the solidified shell interface, while the solidified shell is obtained by the electromagnetic repulsion. As the number of Ar gas bubbles toward the interface increases, pinhole defects increase.
  • FIG. 3 shows a value Lx (N / m 3 ) obtained by averaging the Lorentz force density component in the direction parallel to the long side of the mold in the range where the iron core of the electromagnetic stirrer exists, and the current frequency (Hz).
  • Lx in the direction parallel to the mold long side was calculated with the Lorentz force in the same direction as the turning direction of the molten steel by electromagnetic stirring as positive and the Lorentz force in the opposite direction as negative.
  • the Lorentz force density in the left direction of the page is positive
  • the Lorentz force density in the right direction of the page is negative
  • the center of the short side of the mold is In the area below the paper surface, the Lorentz force density in the right direction on the paper surface was calculated as positive and the Lorentz force density in the left direction on the paper surface was calculated as negative.
  • the maximum value of the value Lx in the direction parallel to the long side of the mold is in the range of the current frequency of 2.3 to 2.5 Hz.
  • a current frequency of 3 to 2.5 Hz should be selected.
  • FIG. 4 shows the relationship between the value Ly (N / m 3 ) obtained by averaging the Lorentz force density component in the direction parallel to the short side of the mold in the range where the iron core exists and the current frequency (Hz).
  • the value Ly in the direction parallel to the mold short side was calculated with the Lorentz force density facing the inside of the mold as positive and the Lorentz force density facing the outside of the mold as negative.
  • the value Ly in the direction parallel to the mold short side is a component of the Lorentz force density in which the molten steel in the mold is directed from the wall surface on the long side of the mold toward the center of the short side, Represents the electromagnetic repulsion toward the wall.
  • FIG. 4 reveals that the value Ly in the direction parallel to the short side of the mold increases as the current frequency of the electromagnetic stirrer increases.
  • FIG. 5 shows a ratio Ly / Lx of the value Ly in the direction parallel to the mold short side to the value Lx in the direction parallel to the mold long side. From FIG. 5, it can be seen that the smaller the value of Ly / Lx, the smaller the electromagnetic repulsion component of the Lorentz force density generated in the molten steel in the mold.
  • FIG. 4 and 5 show that reducing the current frequency is effective for reducing the electromagnetic repulsion.
  • FIG. 3 shows that the value Lx in the direction parallel to the long side of the mold needs to be set to a certain level or more in order to secure the stirring flow rate by electromagnetic stirring.
  • the Lorentz force was insufficient when the current frequency was 0.4 Hz or less.
  • the electromagnetic field simulation was performed by calculating the Lorentz force density distribution generated in the molten steel by the electromagnetic stirrer by the method as described above.
  • a fluid simulation was performed using the obtained Lorentz force density, and the number of Ar gas bubbles trapped in the solidified shell was evaluated.
  • the thermal fluid simulation was performed by the method described in Non-Patent Document 2, and calculation of molten steel flow, heat transfer, solidification, and Ar gas bubbles was performed.
  • the above-mentioned capture flow rate threshold is generally said to be 20 cm / s, but the exact value is unknown. In addition, it is considered unnatural to calculate that the molten steel flow rate is not captured at 19.9 cm / s and Ar gas bubbles are captured by the solidified shell at 20.1 cm / s.
  • the inventor has devised a method for evaluating the probability that Ar gas bubbles are trapped in the solidified shell as a continuous function as shown in the following formula (1).
  • P g ( ⁇ ) is the probability that Ar gas bubbles are trapped in the solidified shell
  • C 0 is a constant
  • U (m / s) is the molten steel flow velocity at the solidification interface.
  • the capture probability P g when the molten steel flow rate is 20 cm / s is 10 ⁇ 8 or less. This is the probability that one of the 1 million Ar gas bubbles is trapped by the solidified shell, and is a value that is regarded as zero in the numerical analysis simulation. It should be noted that the value of C 0 used in the numerical analysis simulation is suitably 10 to 1000.
  • the rate ⁇ g (number / m 3 ⁇ s) at which Ar gas bubbles are trapped in the solidified shell is determined by the number density n g (number / m 3 ) of Ar gas bubbles at the solidification interface and the solidification rate R s (1 / s).
  • the capture probability P g ( ⁇ ) it is expressed as the following formula (2).
  • the number density S g (number / m 3 ) of Ar gas bubbles in the solidified shell is calculated from the following formula (3).
  • U s is the moving speed (m / s) of the solidified shell in the slab drawing direction.
  • the number density S g (number / m 3 ) of Ar gas bubbles in the solidified shell obtained from the above formula (3) was averaged over time to evaluate the number of Ar gas bubbles. At that time, it is considered that the trapping flow rate naturally changes depending on the bubble diameter of Ar gas, but the relationship is unknown. Therefore, the diameter of the main Ar gas bubbles existing in the mold of the continuous casting machine was set to 1 mm for investigation. Further, the range of 2 mm from the slab surface layer was evaluated as a range in which Ar gas bubbles having a diameter of 1 mm affect the slab surface.
  • FIG. 6 shows the result of examining the relationship between the current frequency and the number of pinholes per unit area (pieces / m 2 ) by numerical analysis.
  • the number of pinholes per unit area at the solidification interface is 43 (pieces / m 2 ), which is the minimum because the Lorentz force density for electromagnetic stirring decreases. This is because the effect of reducing the Ar gas bubbles near the mold wall surface by reducing the repulsive force is great.
  • the Lorentz force density for stirring the molten steel in the mold becomes insufficient, and therefore pinholes increase.
  • the current frequency at which the Lorentz force density is maximized is selected as the current frequency of the electromagnetic agitator.
  • the electromagnetic agitator shown in FIG. It is 2.3 Hz that can be read.
  • the number of pinholes in the case of a current frequency of 2.3 Hz selected by the prior art is 57 (pieces / m 2 ). Therefore, it can be seen that the pinhole defect can be suppressed more than the conventional technique, as shown in FIG. 6, in the current frequency range of 0.9 Hz to 2.3 Hz.
  • the inventor has determined the number of pinholes in the conventional case when the slab size is 1200 mm wide ⁇ 250 mm thick, the thickness of the copper mold is 25 mm, and the conductivity of the copper mold is 1.9 ⁇ 10 7 S / m. As a result, it was found that an appropriate frequency range that can be further suppressed is 0.9 to 2.3 Hz.
  • the fluid analysis for evaluating such pinholes requires a relatively long time compared to the electromagnetic field analysis. Therefore, the inventor examined a method for selecting an optimum frequency from the result of electromagnetic field analysis.
  • the Lorentz force Lx (N / m 3 ) required for electromagnetic stirring acts as a positive factor
  • the electromagnetic repulsive force Ly (N / m 3 ) acts as a negative factor. Therefore, the effective Lorentz force density F (N / m 3 ) is defined as shown by the following formula (4).
  • is a coefficient indicating the adverse effect of electromagnetic repulsion.
  • is a coefficient indicating the degree of adverse effect in the direction parallel to the mold short side
  • the degree of influence varies depending on the length of the mold short side.
  • the inventor examined ⁇ in which the evaluation by the above formula (4) is equivalent to the evaluation shown in FIG. 6 with respect to the mold short side length of 200 mm to 300 mm. As a result, it was found that it is appropriate to set ⁇ in the range of 3-7. When ⁇ is less than 3, the Lorentz force parallel to the mold short side is underestimated. When ⁇ exceeds 7, the Lorentz force parallel to the mold short side is overestimated.
  • FIG. 7 is a graph showing the frequency dependence of the effective Lorentz force density F (N / m 3 ) when the coefficient ⁇ indicating the adverse effect of electromagnetic repulsion is 5.
  • FIG. 7 shows that the effective Lorentz force density F (N / m 3 ) has the maximum value when the current frequency is 1.2 Hz.
  • Lx (N / m 3 ) is a value obtained by averaging the Lorentz force density component in the direction parallel to the mold long side in the range where the iron core that is a component of the electromagnetic stirrer exists.
  • the best current frequency of the electromagnetic stirrer that can reduce the electromagnetic repulsion generated when the molten steel in the mold is electromagnetically stirred as much as possible can be determined from the result of the electromagnetic field analysis alone. Therefore, Ar gas bubbles can be prevented from being collected on the surface of the slab as much as possible, and pinhole defects can be further suppressed.
  • the inventor performed the fluid simulation by the method described in Non-Patent Document 2, but it goes without saying that the thermal fluid simulation is not limited to the method described in Non-Patent Document 2.

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Abstract

The purpose of the present invention is to provide a continuous steel casting method that further curbs pinhole defects. The present invention is a continuous steel casting method in which, when the value resulting from averaging the Lorentz force density component in a direction that is parallel to a long side of a mold (11) in the range in which an iron core (13a) that is a constituent element of an electromagnetic stirring device (13) is present is denoted by Lx (N/m3) and the value resulting from averaging the Lorentz force density component in a direction that is parallel to a short side of the mold (11) in the range in which the iron core (13a) is present is denoted by Ly (N/m3), the relationship between an effective Lorentz force density (F) (N/m3) that is calculated using [F = Lx - α ∙ Ly] and the current frequency (Hz) of the electromagnetic stirring device (13) is determined, and continuous casting of steel is performed using an electromagnetic stirring current frequency that is in the range of 0.9Fmax from the maximum value (Fmax) of the actual Lorentz force density (F).

Description

鋼の連続鋳造方法Steel continuous casting method

 本発明は、鋳型に設置される電磁攪拌装置の操業を最適に行って鋼を連続鋳造する方法に関するものである。 The present invention relates to a method for continuously casting steel by optimally operating an electromagnetic stirring device installed in a mold.

 連続鋳造により製造した鋳片表層の品質を劣化させる主な原因として、ピンホール性欠陥が挙げられる。このピンホール性欠陥は、連続鋳造時における浸漬ノズルの閉塞を抑制するために浸漬ノズルに吹き込まれるArガスが、鋳型内の溶鋼中に入り込み、凝固シェルに捕捉されることによって発生する。 As a main cause of deteriorating the quality of the slab surface layer produced by continuous casting, there is a pinhole defect. This pinhole defect is generated when Ar gas blown into the immersion nozzle enters the molten steel in the mold and is captured by the solidified shell in order to suppress the clogging of the immersion nozzle during continuous casting.

 前記ピンホール性欠陥を抑制する方法としては、鋳型に電磁攪拌装置を設置することが有効である。この電磁攪拌装置の操業因子としては、溶鋼流速、浸漬ノズル、溶鋼スループットやローレンツ力等が挙げられる。 As a method for suppressing the pinhole defect, it is effective to install an electromagnetic stirring device in the mold. The operating factors of this electromagnetic stirring device include molten steel flow velocity, immersion nozzle, molten steel throughput, Lorentz force, and the like.

 これらの操業因子を適切な範囲とするものとして、例えば下記の技術が開示されている。 For example, the following technologies are disclosed as those that make these operating factors within an appropriate range.

 例えば、特許文献1には、得られる鋳片の表面欠陥発生率を低減するために、メニスカス位置での電磁攪拌流速を10~60cm/sとする技術が開示されている。 For example, Patent Document 1 discloses a technique for setting the electromagnetic stirring flow rate at the meniscus position to 10 to 60 cm / s in order to reduce the surface defect occurrence rate of the obtained slab.

 また、特許文献2には、浸漬ノズルと鋳型長辺との距離、浸漬ノズルの溶鋼吐出孔の鋳造方向の距離、溶鋼スループット量、凝固界面における磁束密度等のパラメータを用いて、凝固シェルに気泡が付着することに起因する鋳片の表面欠陥を所定の値以下にする技術が開示されている。そして、特許文献2には、浸漬ノズルと鋳型長辺との距離を、浸漬ノズルの形状や鋳型の形状を変更することによって制御することが記載されている。 Further, in Patent Document 2, bubbles are formed in the solidified shell using parameters such as the distance between the immersion nozzle and the long side of the mold, the distance in the casting direction of the molten steel discharge hole of the immersion nozzle, the amount of molten steel throughput, and the magnetic flux density at the solidification interface. A technique is disclosed in which the surface defect of a slab resulting from the adhesion of slabs is set to a predetermined value or less. Patent Document 2 describes that the distance between the immersion nozzle and the mold long side is controlled by changing the shape of the immersion nozzle or the shape of the mold.

 また、特許文献3には、Arガスの気泡の浮上を促進して溶鋼中へのモールドパウダーの巻き込みを回避するために、鋳型長辺に平行な方向の電磁力の平均値が3000~12000N/m、鋳型短辺に平行な方向の局所値が-2000~2000N/m、鉛直下向き方向の局所値が-1000~1000N/mとなるように電磁力を加える技術が開示されている。 Patent Document 3 discloses that the average value of electromagnetic force in the direction parallel to the mold long side is 3000 to 12000 N / in order to promote the floating of Ar gas bubbles and avoid the entrainment of mold powder in the molten steel. m 3, a local value in a direction parallel to the mold short side -2000 ~ 2000N / m 3, the local value of the vertically downward direction exerts an electromagnetic force so that the -1000 ~ 1000N / m 3 discloses a technique .

 前記特許文献1~3で開示された技術を適用することによって、ピンホール性欠陥はある程度抑制される。しかしながら、ピンホール性欠陥が皆無となることはない。ユーザーから求められる鋼板の表面品質は益々厳格化しているので、更にピンホール性欠陥を抑制する技術が必要となってきている。 By applying the techniques disclosed in Patent Documents 1 to 3, pinhole defects are suppressed to some extent. However, there are no pinhole defects. As the surface quality of steel sheets required by users is becoming more and more strict, a technology for further suppressing pinhole defects is required.

 鋼の連続鋳造において、電磁攪拌装置はピンホール性欠陥の抑制に対して最も効果がある装置である。前記特許文献1~3で開示された技術でも、電磁攪拌装置によって発生させる電磁力や、電磁力によって発生する溶鋼流速の適切な範囲が、詳しく検討されている。 In continuous casting of steel, the electromagnetic stirrer is the most effective device for suppressing pinhole defects. Even in the techniques disclosed in Patent Documents 1 to 3, the electromagnetic force generated by the electromagnetic stirring device and the appropriate range of the molten steel flow velocity generated by the electromagnetic force are studied in detail.

 ここで、電磁攪拌装置は、鋳型内溶鋼中にローレンツ力を発生させて溶鋼を流動させる装置である。このローレンツ力は、導電性を有する溶鋼にのみ発生し、Arガスの気泡等の導電率が極めて低いもの(一般的に絶縁体と呼ばれるもの)には発生しない。 Here, the electromagnetic stirring device is a device that generates Lorentz force in the molten steel in the mold and causes the molten steel to flow. The Lorentz force is generated only in molten steel having electrical conductivity, and is not generated in an extremely low conductivity such as Ar gas bubbles (generally called an insulator).

 従って、Arガスの気泡は鋳型内の溶鋼と相対的に反対方向に移動する。つまり、電磁攪拌装置によって発生する電磁力には、図8に示すように、Arガスの気泡を鋳片表層に寄せ集めてピンホール性欠陥を増加する負の成分も含まれている。 Therefore, the Ar gas bubbles move in the opposite direction relative to the molten steel in the mold. In other words, as shown in FIG. 8, the electromagnetic force generated by the electromagnetic stirrer includes a negative component that causes Ar gas bubbles to gather on the surface of the slab and increases pinhole defects.

 この溶融金属中に含まれるArガスの気泡を鋳片表層に寄せ集める電磁力の成分は、「電磁斥力」や「電磁アルキメデス力」とよばれ、非特許文献1に詳しく説明されている。なお、図8中の1は鋳型壁面、2は凝固シェル、3は凝固界面、4はArガスの気泡を示し、また、紙面下側から上側へと向かう矢印はローレンツ力を、紙面上側から下側へと向かう矢印は電磁斥力を示す。また、非特許文献2には、連続鋳造における溶鋼に作用するローレンツ力密度を考慮した熱流体シミュレーションが開示されている。 The component of the electromagnetic force that collects Ar gas bubbles contained in the molten metal on the surface of the slab is called “electromagnetic repulsive force” or “electromagnetic Archimedes force” and is described in detail in Non-Patent Document 1. In FIG. 8, 1 is a mold wall surface, 2 is a solidified shell, 3 is a solidified interface, 4 is a bubble of Ar gas, and an arrow heading from the lower side to the upper side of the drawing indicates the Lorentz force and the lower side from the upper side of the drawing. An arrow pointing to the side indicates electromagnetic repulsion. Non-Patent Document 2 discloses a thermal fluid simulation in consideration of Lorentz force density acting on molten steel in continuous casting.

特開平6-605号公報JP-A-6-605 特開2007-216288号公報JP 2007-216288 A 特開2010-240687号公報JP 2010-240687 A

鉄と鋼、Vol.83(1997), No.1, p.30~35Iron and Steel, Vol.83 (1997), No.1, p.30-35 K.Takatani:ISIJ International, Vol.43, 2003, No.6, p.915-922K.Takatani : ISIJ International, Vol.43, 2003, No.6, p.915-922

 本発明が解決しようとする問題点は、鋼を連続鋳造する際の鋳型内溶鋼の電磁攪拌において、従来技術の場合、電磁攪拌装置によって発生する電磁斥力に着目し、好適な電磁攪拌条件を決定する発想はなかったという点である。 The problem to be solved by the present invention is that in the case of electromagnetic stirring of molten steel in a mold during continuous casting of steel, in the case of the prior art, focusing on the electromagnetic repulsion generated by the electromagnetic stirring device, a suitable electromagnetic stirring condition is determined. There was no idea to do.

 本発明は、鋳型内溶鋼を電磁攪拌する際に発生する電磁斥力を可能な限り小さくできるように、電磁攪拌装置の最善な電流周波数を決定することによって、ピンホール性欠陥を更に抑制することを目的としている。 The present invention further suppresses the pinhole defect by determining the best current frequency of the electromagnetic stirring device so that the electromagnetic repulsive force generated when electromagnetically stirring the molten steel in the mold can be reduced as much as possible. It is aimed.

 本発明は、後述する発明者の検討結果に基づいてなされたものであり、
  鋳型に設置した電磁攪拌装置を用いた鋼の連続鋳造において、
  鋳型長辺に平行な方向のローレンツ力密度成分を、前記電磁攪拌装置の構成要素である鉄芯コアが存在する範囲で平均化した値をLx(N/m)とし、
  鋳型短辺に平行な方向のローレンツ力密度成分を、前記鉄芯コアが存在する範囲で平均化した値をLy(N/m)とした場合、
  下記式によって算出される実効ローレンツ力密度F(N/m)と電磁攪拌装置の電流周波数(Hz)との関係を求め、
  前記実効ローレンツ力密度Fの最大値Fmaxから0.9Fmaxの範囲の電磁攪拌電流の周波数を用いることを最も主要な特徴としている。
  F=Lx-α・Ly
  但し、上記式において、α:電磁斥力の悪影響度を示す係数(=3~7)である。
The present invention has been made on the basis of the results of the study of the inventor described below,
In continuous casting of steel using an electromagnetic stirrer installed in the mold,
Lx (N / m 3 ) is a value obtained by averaging the Lorentz force density component in the direction parallel to the mold long side in a range where the iron core that is a component of the electromagnetic stirrer exists.
When the value obtained by averaging the Lorentz force density component in the direction parallel to the short side of the mold in the range where the iron core is present is Ly (N / m 3 ),
The relationship between the effective Lorentz force density F (N / m 3 ) calculated by the following formula and the current frequency (Hz) of the electromagnetic stirrer is obtained,
The most important feature is that the frequency of the electromagnetic stirring current in the range of the maximum value Fmax to 0.9Fmax of the effective Lorentz force density F is used.
F = Lx-α · Ly
In the above formula, α is a coefficient (= 3 to 7) indicating the adverse effect of electromagnetic repulsion.

 上記本発明では、鋳型内溶鋼を電磁攪拌する際に発生する電磁斥力を可能な限り小さくできるように、電磁攪拌装置の最善な電流周波数を決定するので、鋳片表層にArガスの気泡が寄せ集められることを可能な限り抑制することができる。 In the present invention, since the optimum current frequency of the electromagnetic stirrer is determined so that the electromagnetic repulsive force generated when electromagnetically stirring the molten steel in the mold can be reduced as much as possible, Ar gas bubbles are brought close to the slab surface layer. Collecting can be suppressed as much as possible.

 本発明によれば、鋳片表層にArガスの気泡が寄せ集められることを可能な限り抑制できるので、従来技術を用いた鋼の連続鋳造方法よりも、ピンホール性欠陥を更に抑制することができる。 According to the present invention, since it is possible to suppress Ar gas bubbles from being gathered together on the surface of the slab as much as possible, pinhole defects can be further suppressed as compared to the continuous casting method of steel using the prior art. it can.

本発明の鋼の連続鋳造方法に使用する鋳型と電磁攪拌装置について説明する図で、鋳型を上方向から見た図である。It is a figure explaining the casting_mold | template and electromagnetic stirring apparatus which are used for the continuous casting method of steel of this invention, and is the figure which looked at the casting_mold | template from the upper direction. 数値解析シミュレーションによって得られた、鉄芯コアの鋳片引抜方向中心位置におけるローレンツ力密度の分布を示した図である。It is the figure which showed distribution of the Lorentz force density in the cast piece drawing direction center position of the iron core core obtained by numerical analysis simulation. 鋳型長辺と平行な方向におけるローレンツ力密度成分を、電磁攪拌装置の鉄心コアが存在する範囲で平均化した値Lxと電流周波数との関係を示した図である。It is the figure which showed the relationship between the value Lx and the current frequency which averaged the Lorentz force density component in the direction parallel to the mold long side in the range where the iron core of the electromagnetic stirrer exists. 鋳型短辺と平行な方向におけるローレンツ力密度成分を、電磁攪拌装置の鉄心コアが存在する範囲で平均化した値Lyと電流周波数との関係を示した図である。It is the figure which showed the relationship between the value Ly and the current frequency which averaged the Lorentz force density component in the direction parallel to the mold short side in the range where the iron core of the electromagnetic stirrer exists. Ly/Lxと電流周波数との関係を示した図である。It is the figure which showed the relationship between Ly / Lx and a current frequency. 数値解析により、電流周波数による凝固界面での単位面積当たりのピンホール個数(個/m)の変化を調査した結果を示した図である。It is the figure which showed the result of having investigated the change of the number of pinholes per unit area (pieces / m < 2 >) in the solidification interface by a numerical frequency by numerical analysis. 電磁斥力の悪影響度を示す係数αを5とした場合の、実効ローレンツ力密度Fの周波数依存性を示した図である。It is the figure which showed the frequency dependence of the effective Lorentz force density F when the coefficient (alpha) which shows the bad influence degree of an electromagnetic repulsion is set to 5. 電磁斥力について説明する図である。It is a figure explaining electromagnetic repulsion.

 本発明では、鋳型内溶鋼を電磁攪拌する際に発生する電磁斥力を可能な限り小さくできるように、電磁攪拌装置の最善な電流周波数を決定することによって、ピンホール性欠陥を更に抑制するという目的を実現した。 The object of the present invention is to further suppress pinhole defects by determining the best current frequency of the electromagnetic stirring device so that the electromagnetic repulsion generated when electromagnetically stirring the molten steel in the mold can be made as small as possible. Realized.

 発明者は、鋳型に電磁撹拌装置を設置した連続鋳造機を操業することにおいて、鋳型内に発生する電磁斥力について詳細に検討した結果、電磁斥力を抑制することでピンホール性欠陥の低減が可能であることを見出した。 The inventors have studied in detail the electromagnetic repulsive force generated in the mold when operating a continuous casting machine with an electromagnetic stirrer installed in the mold. As a result, it is possible to reduce pinhole defects by suppressing the electromagnetic repulsive force. I found out.

 そして、電磁斥力を抑制して凝固界面近傍にArガス気泡を寄せ付けないようにする電磁力印加方法について、発明者がさらに検討を行った結果、電磁力を印加する際の適切な電流周波数が存在することが明らかになった。 As a result of further investigation by the inventors on the electromagnetic force application method that suppresses the electromagnetic repulsive force so that the Ar gas bubbles do not approach the vicinity of the solidification interface, there is an appropriate current frequency when applying the electromagnetic force. It became clear to do.

 上記検討に際して使用した鋳型と電磁攪拌装置は、鋳型を上方から見た場合に、図1に示すような一般的な形状及び極性の、特許文献3で説明されたものと同じものである。図1中の11は銅鋳型(以下、単に鋳型ともいう。)、12は浸漬ノズル、13は電磁攪拌装置、13aは電磁攪拌装置13を構成する鉄芯コア、13aaは鉄心コア13に形成したティース部、13bは鉄芯コア13aの外周に巻き付けた巻き線である。 The mold and electromagnetic stirring device used in the above examination are the same as those described in Patent Document 3 with a general shape and polarity as shown in FIG. 1 when the mold is viewed from above. In FIG. 1, 11 is a copper mold (hereinafter also simply referred to as a mold), 12 is an immersion nozzle, 13 is an electromagnetic stirrer, 13a is an iron core core constituting the electromagnetic stirrer 13, and 13aa is formed on the iron core 13. The teeth portion 13b is a winding wound around the outer periphery of the iron core 13a.

 図2は、数値解析シミュレーションによって得られた、鉄芯コアの鋳片引抜方向中心位置における、ローレンツ力密度の分布を示したものである。ここでは、ローレンツ力密度とは、単位溶鋼体積当りの電磁力(N/m)を意味する。 FIG. 2 shows the Lorentz force density distribution at the center position in the slab drawing direction of the iron core obtained by numerical analysis simulation. Here, the Lorentz force density means an electromagnetic force (N / m 3 ) per unit molten steel volume.

 図2に示したローレンツ力密度の分布は、幅1200mm×厚さ250mmの鋳片サイズで、鋳型を形成する銅板の厚みが25mm、鋳型の導電率を1.9×10 S/mとして数値解析シミュレーションを行った結果である。 The Lorentz force density distribution shown in FIG. 2 is a slab size of width 1200 mm × thickness 250 mm, the thickness of the copper plate forming the mold is 25 mm, and the conductivity of the mold is 1.9 × 10 7 S / m. It is the result of having performed an analysis simulation.

 図2に示したローレンツ力密度分布は、鋳型内の溶鋼を反時計まわり方向に攪拌する分布となっており、鋳型11の壁面近傍で、鋳型11の長辺方向に沿った大きなローレンツ力が発生している。 The Lorentz force density distribution shown in FIG. 2 is a distribution in which the molten steel in the mold is agitated counterclockwise, and a large Lorentz force along the long side direction of the mold 11 is generated in the vicinity of the wall surface of the mold 11. is doing.

 図2より明らかなように、上記鋳型の壁面に沿ったローレンツ力は、鋳型の内部を向いた成分も多く有している。このような鋳型の内部を向いたローレンツ力は、Arガスの気泡に対しては鋳型の壁面に向かう電磁斥力として作用する。すなわち、Arガスの気泡は、電磁斥力により凝固シェル界面近傍に輸送され、ピンホール性欠陥が増加する。 As is clear from FIG. 2, the Lorentz force along the wall surface of the mold has many components facing the inside of the mold. Such a Lorentz force directed toward the inside of the mold acts as an electromagnetic repulsive force directed toward the wall surface of the mold against Ar gas bubbles. That is, Ar gas bubbles are transported to the vicinity of the solidified shell interface by electromagnetic repulsion, and pinhole defects increase.

 ローレンツ力密度の分布は、EMS(電磁攪拌:Electro-Magnetic Stirrer)電流値を増加させても変化しない。すなわち、電磁攪拌装置の電流値を増加させて流速を増加させた場合、凝固シェル界面に捕捉されるピンホールの洗浄効果によってピンホール性欠陥の抑制効果が得られる一方で、電磁斥力により凝固シェル界面へ向かうArガスの気泡が増加するためピンホール性欠陥が増加する。 The Lorentz force density distribution does not change even when the EMS (Electro-Magnetic Stirrer) current value is increased. That is, when the flow rate is increased by increasing the current value of the electromagnetic stirrer, the effect of suppressing the pinhole defect is obtained by the cleaning effect of the pinhole trapped at the solidified shell interface, while the solidified shell is obtained by the electromagnetic repulsion. As the number of Ar gas bubbles toward the interface increases, pinhole defects increase.

 発明者が検討を行った結果、以下に説明するように、ローレンツ力の鋳型内部を向いた成分を低減させるためには、電磁攪拌装置の電流周波数を変更することが非常に効果的であった。 As a result of the study by the inventors, as described below, it was very effective to change the current frequency of the electromagnetic stirring device in order to reduce the component of the Lorentz force facing the inside of the mold. .

 図3は、鋳型長辺に平行な方向のローレンツ力密度の成分を、電磁攪拌装置の鉄芯コアが存在する範囲で平均化した値Lx(N/m)と、電流周波数(Hz)との関係を示した図である。鋳型長辺に平行な方向の上記値Lxは、電磁攪拌による溶鋼の旋回方向と同じ方向のローレンツ力を正、反対方向のローレンツ力を負として算出した。 FIG. 3 shows a value Lx (N / m 3 ) obtained by averaging the Lorentz force density component in the direction parallel to the long side of the mold in the range where the iron core of the electromagnetic stirrer exists, and the current frequency (Hz). FIG. The value Lx in the direction parallel to the mold long side was calculated with the Lorentz force in the same direction as the turning direction of the molten steel by electromagnetic stirring as positive and the Lorentz force in the opposite direction as negative.

 具体的には、図2において、鋳型の短辺中心よりも紙面上方の領域では、紙面左方向のローレンツ力密度を正、紙面右方向のローレンツ力密度を負とし、鋳型の短辺中心よりも紙面下方の領域では、紙面右方向のローレンツ力密度を正、紙面左方向のローレンツ力密度を負として算出した。 Specifically, in FIG. 2, in the region above the center of the short side of the mold, the Lorentz force density in the left direction of the page is positive, the Lorentz force density in the right direction of the page is negative, and the center of the short side of the mold is In the area below the paper surface, the Lorentz force density in the right direction on the paper surface was calculated as positive and the Lorentz force density in the left direction on the paper surface was calculated as negative.

 図3より、鋳型の長辺に平行な方向の上記値Lxの最大値は、電流周波数が2.3~2.5Hzの範囲に存在し、攪拌流速を最大限とするためには、この2.3~2.5Hzの電流周波数を選定すべきであることになる。 From FIG. 3, the maximum value of the value Lx in the direction parallel to the long side of the mold is in the range of the current frequency of 2.3 to 2.5 Hz. A current frequency of 3 to 2.5 Hz should be selected.

 図4は、鋳型短辺に平行な方向のローレンツ力密度の成分を、上記鉄芯コアが存在する範囲で平均化した値Ly(N/m)と、電流周波数(Hz)との関係を示した図である。鋳型短辺に平行な方向の上記値Lyは、鋳型の内側に向くローレンツ力密度を正とし、鋳型の外側に向くローレンツ力密度を負として算出した。 FIG. 4 shows the relationship between the value Ly (N / m 3 ) obtained by averaging the Lorentz force density component in the direction parallel to the short side of the mold in the range where the iron core exists and the current frequency (Hz). FIG. The value Ly in the direction parallel to the mold short side was calculated with the Lorentz force density facing the inside of the mold as positive and the Lorentz force density facing the outside of the mold as negative.

 具体的には、図2において、鋳型の短辺中心よりも紙面上方の領域では、鋳型の長辺側の壁面から離れる下向きのローレンツ力密度を正とし、鋳型の短辺中心よりも紙面下方の領域では、鋳型の長辺側の壁面から離れる上向きのローレンツ力密度を正として算出した。 Specifically, in FIG. 2, in the region above the short side center of the mold, the downward Lorentz force density away from the wall on the long side of the mold is positive, and below the center of the short side of the mold is positive. In the region, the upward Lorentz force density away from the long side wall of the mold was calculated as positive.

 すなわち、鋳型短辺に平行な方向の上記値Lyは、鋳型内の溶鋼が、鋳型の長辺側の壁面から短辺中心へと向かうローレンツ力密度の成分であり、Arガスの気泡が鋳型の壁面に向かう電磁斥力を表す。図4より、鋳型短辺に平行な方向の上記値Lyは、電磁攪拌装置の電流周波数が高いほど大きくなることが明らかとなった。 That is, the value Ly in the direction parallel to the mold short side is a component of the Lorentz force density in which the molten steel in the mold is directed from the wall surface on the long side of the mold toward the center of the short side, Represents the electromagnetic repulsion toward the wall. FIG. 4 reveals that the value Ly in the direction parallel to the short side of the mold increases as the current frequency of the electromagnetic stirrer increases.

 図5は、鋳型短辺に平行な方向の上記値Lyの、鋳型長辺に平行な方向の上記値Lxに対する比率Ly/Lxを示している。この図5より、Ly/Lxの値が小さいほど、鋳型内の溶鋼中に発生するローレンツ力密度の電磁斥力成分が小さいことがわかる。 FIG. 5 shows a ratio Ly / Lx of the value Ly in the direction parallel to the mold short side to the value Lx in the direction parallel to the mold long side. From FIG. 5, it can be seen that the smaller the value of Ly / Lx, the smaller the electromagnetic repulsion component of the Lorentz force density generated in the molten steel in the mold.

 図4および図5から、電磁斥力を小さくするためには、電流周波数を低下させることが有効であることがわかる。また、図3から、電磁攪拌による攪拌流速を確保するためには、鋳型長辺に平行な方向の上記値Lxをある程度以上とする必要があることがわかる。後述する流体解析シミュレーションを検討した結果、電流周波数が0.4Hz以下の場合には、ローレンツ力が不足することが確認された。 4 and 5 show that reducing the current frequency is effective for reducing the electromagnetic repulsion. Further, FIG. 3 shows that the value Lx in the direction parallel to the long side of the mold needs to be set to a certain level or more in order to secure the stirring flow rate by electromagnetic stirring. As a result of examining a fluid analysis simulation described later, it was confirmed that the Lorentz force was insufficient when the current frequency was 0.4 Hz or less.

 以上から、鋳型長辺に平行な方向の上記値Lxが最大となる電流周波数から、電磁攪拌が不適となる電流周波数までの間に、最も適切な電流周波数が存在するはずであり、この最適な電流周波数を電磁場と流体の数値解析シミュレーションから検討を行った。 From the above, there should be the most appropriate current frequency from the current frequency at which the value Lx in the direction parallel to the mold long side is maximum to the current frequency at which electromagnetic stirring is inappropriate. The current frequency was investigated from numerical simulation of electromagnetic field and fluid.

 電磁場シミュレーションは、前述したとおりの方法で電磁攪拌装置により溶鋼中に発生するローレンツ力密度の分布を算出することによって行った。得られたローレンツ力密度を用いて流体シミュレーションを実施し、凝固シェルに捕捉されるArガス気泡の個数の評価を行った。熱流体シミュレーションは、非特許文献2に記載された方法で行い、溶鋼流動、伝熱、凝固およびArガス気泡の計算を行った。 The electromagnetic field simulation was performed by calculating the Lorentz force density distribution generated in the molten steel by the electromagnetic stirrer by the method as described above. A fluid simulation was performed using the obtained Lorentz force density, and the number of Ar gas bubbles trapped in the solidified shell was evaluated. The thermal fluid simulation was performed by the method described in Non-Patent Document 2, and calculation of molten steel flow, heat transfer, solidification, and Ar gas bubbles was performed.

 非特許文献2に記載された方法による熱流体シミュレーションによって、連続鋳造機の溶鋼中における流速、凝固速度、Arガス気泡の分布などの情報を得ることができる。従って、凝固シェルに捕捉されるArガス気泡をどのように評価するのかが問題となる。 Information such as the flow velocity, solidification rate, Ar gas bubble distribution, etc. in the molten steel of the continuous casting machine can be obtained by the thermal fluid simulation by the method described in Non-Patent Document 2. Therefore, how to evaluate the Ar gas bubbles trapped in the solidified shell becomes a problem.

 特許文献1に記載されているように、凝固界面に10~60cm/sの溶鋼流速があれば、Arガス気泡は、凝固シェルに捕捉されないことが知られている。すなわち、凝固界面における溶鋼流速が、Arガス気泡が捕捉される流速(以後、捕捉流速という。)以下である場合には、当該位置に存在するArガス気泡が捕捉されるとする計算を行えばよい。 As described in Patent Document 1, it is known that if there is a molten steel flow velocity of 10 to 60 cm / s at the solidification interface, Ar gas bubbles are not trapped by the solidification shell. That is, when the molten steel flow velocity at the solidification interface is equal to or lower than the flow velocity at which Ar gas bubbles are trapped (hereinafter referred to as trap flow velocity), calculation is performed that Ar gas bubbles present at the position are trapped. Good.

 上記捕捉流速の閾値は、一般的に20cm/sと言われているが、正確な値は不明である。また、溶鋼流速が19.9cm/sでは捕捉されず、20.1cm/sではArガス気泡が凝固シェルに捕捉されるという計算を行うのは不自然と考えられる。 The above-mentioned capture flow rate threshold is generally said to be 20 cm / s, but the exact value is unknown. In addition, it is considered unnatural to calculate that the molten steel flow rate is not captured at 19.9 cm / s and Ar gas bubbles are captured by the solidified shell at 20.1 cm / s.

 そこで、発明者は、Arガス気泡が凝固シェルに捕捉される確率を、下記式(1)に示すような連続的な関数として評価する方法を考案した。ここで、P(-)はArガス気泡が凝固シェルに捕捉される確率であり、Cは定数、U(m/s)は凝固界面における溶鋼流速である。 Therefore, the inventor has devised a method for evaluating the probability that Ar gas bubbles are trapped in the solidified shell as a continuous function as shown in the following formula (1). Here, P g (−) is the probability that Ar gas bubbles are trapped in the solidified shell, C 0 is a constant, and U (m / s) is the molten steel flow velocity at the solidification interface.

 下記式(1)における定数Cを100とした場合、溶鋼流速が20cm/sの場合の捕捉確率Pは、10-8以下となる。これは、100万個のArガス気泡のうちの1個が凝固シェルに捕捉されるという確率であり、数値解析シミュレーション上で零とみなされる値である。なお、数値解析シミュレーションに用いるCの値は、10~1000が適切である。 When the constant C 0 in the following formula (1) is set to 100, the capture probability P g when the molten steel flow rate is 20 cm / s is 10 −8 or less. This is the probability that one of the 1 million Ar gas bubbles is trapped by the solidified shell, and is a value that is regarded as zero in the numerical analysis simulation. It should be noted that the value of C 0 used in the numerical analysis simulation is suitably 10 to 1000.

Figure JPOXMLDOC01-appb-M000001
Figure JPOXMLDOC01-appb-M000001

 Arガス気泡が凝固シェルに捕捉される速度η(個/m・s)は、凝固界面におけるArガス気泡の個数密度n(個/m)、凝固速度R(1/s)と捕捉確率P(-)を用いて、下記式(2)として表わされる。 The rate η g (number / m 3 · s) at which Ar gas bubbles are trapped in the solidified shell is determined by the number density n g (number / m 3 ) of Ar gas bubbles at the solidification interface and the solidification rate R s (1 / s). And the capture probability P g (−), it is expressed as the following formula (2).

Figure JPOXMLDOC01-appb-M000002
Figure JPOXMLDOC01-appb-M000002

 凝固シェル中のArガス気泡の個数密度S(個/m)は、下記式(3)から算出される。ここで、Uは凝固シェルのスラブ引き抜き方向の移動速度(m/s)である。 The number density S g (number / m 3 ) of Ar gas bubbles in the solidified shell is calculated from the following formula (3). Here, U s is the moving speed (m / s) of the solidified shell in the slab drawing direction.

Figure JPOXMLDOC01-appb-M000003
Figure JPOXMLDOC01-appb-M000003

 上記式(3)から得られる、凝固シェル中のArガス気泡の個数密度S(個/m)を、時間平均化して、Arガス気泡の個数を評価した。その際、Arガスの気泡径によって捕捉流速は当然変化すると考えられるが、その関係は不明である。そこで、連続鋳造機の鋳型内に存在する主なArガス気泡の直径を1mmとして、検討を行った。また、直径が1mmのArガス気泡が鋳片表面に影響を及ぼす範囲として、鋳片表層から2mmの範囲を評価した。 The number density S g (number / m 3 ) of Ar gas bubbles in the solidified shell obtained from the above formula (3) was averaged over time to evaluate the number of Ar gas bubbles. At that time, it is considered that the trapping flow rate naturally changes depending on the bubble diameter of Ar gas, but the relationship is unknown. Therefore, the diameter of the main Ar gas bubbles existing in the mold of the continuous casting machine was set to 1 mm for investigation. Further, the range of 2 mm from the slab surface layer was evaluated as a range in which Ar gas bubbles having a diameter of 1 mm affect the slab surface.

 数値解析により、電流周波数と、凝固界面での単位面積当たりのピンホール個数(個/m)との関係を検討した結果を、図6に示す。 FIG. 6 shows the result of examining the relationship between the current frequency and the number of pinholes per unit area (pieces / m 2 ) by numerical analysis.

 図6から、ローレンツ力密度が最大となる、電流周波数が2.3Hzのときよりも、電流周波数が1.2Hzの場合にピンホール個数が少なくなり、電流周波数が0.8Hz以下となるとピンホール個数が大きく増加していくことが明らかとなった。 From FIG. 6, the number of pinholes decreases when the current frequency is 1.2 Hz, and the pinhole when the current frequency is 0.8 Hz or less, compared to when the current frequency is 2.3 Hz, where the Lorentz force density is maximum. It became clear that the number increased greatly.

 電流周波数が1.2Hzの場合に、凝固界面での単位面積当たりのピンホール個数が最小の43(個/m)となるのは、電磁攪拌のためのローレンツ力密度が低下するが、電磁斥力が低下することによって鋳型壁面付近のArガス気泡が減少する効果が大きいからである。しかしながら、電流周波数を1.2Hzよりも低下させると、鋳型内溶鋼を攪拌するためのローレンツ力密度が不足するために、ピンホールが増加する。 When the current frequency is 1.2 Hz, the number of pinholes per unit area at the solidification interface is 43 (pieces / m 2 ), which is the minimum because the Lorentz force density for electromagnetic stirring decreases. This is because the effect of reducing the Ar gas bubbles near the mold wall surface by reducing the repulsive force is great. However, when the current frequency is lowered below 1.2 Hz, the Lorentz force density for stirring the molten steel in the mold becomes insufficient, and therefore pinholes increase.

 一般的には、電磁攪拌装置の電流周波数は、ローレンツ力密度が最大となる電流周波数が選定され、図1に示した電磁攪拌装置において、ローレンツ力密度が最大となる電流周波数は、図3から読み取れる2.3Hzである。従来技術によって選定される2.3Hzの電流周波数の場合におけるピンホール個数は、図6に示したように、57(個/m)である。よって、従来技術よりもピンホール性欠陥を抑制できるのは、図6に示したように、電流周波数が0.9Hzから2.3Hzの範囲であることがわかる。 In general, the current frequency at which the Lorentz force density is maximized is selected as the current frequency of the electromagnetic agitator. In the electromagnetic agitator shown in FIG. It is 2.3 Hz that can be read. As shown in FIG. 6, the number of pinholes in the case of a current frequency of 2.3 Hz selected by the prior art is 57 (pieces / m 2 ). Therefore, it can be seen that the pinhole defect can be suppressed more than the conventional technique, as shown in FIG. 6, in the current frequency range of 0.9 Hz to 2.3 Hz.

 従って、発明者は、鋳片サイズを幅1200mm×厚さ250mmとし、銅鋳型の厚みを25mm、銅鋳型の導電率を1.9×10 S/mとした場合に、ピンホール個数を従来よりも抑制できる適切な周波数範囲は、0.9~2.3Hzである知見を得た。 Therefore, the inventor has determined the number of pinholes in the conventional case when the slab size is 1200 mm wide × 250 mm thick, the thickness of the copper mold is 25 mm, and the conductivity of the copper mold is 1.9 × 10 7 S / m. As a result, it was found that an appropriate frequency range that can be further suppressed is 0.9 to 2.3 Hz.

 このようなピンホールを評価するための流体解析は、電磁場解析と比べて比較的長時間必要である。そこで、発明者は、電磁場解析の結果から最適な周波数を選定する方法を検討した。 The fluid analysis for evaluating such pinholes requires a relatively long time compared to the electromagnetic field analysis. Therefore, the inventor examined a method for selecting an optimum frequency from the result of electromagnetic field analysis.

 ピンホール個数に対して、電磁攪拌に必要なローレンツ力Lx(N/m)は正の因子、電磁斥力Ly(N/m)は負の因子として作用する。そのため、実効ローレンツ力密度F(N/m)を下記式(4)で示すように定義する。ここで、αは電磁斥力の悪影響度を示す係数である。 For the number of pinholes, the Lorentz force Lx (N / m 3 ) required for electromagnetic stirring acts as a positive factor, and the electromagnetic repulsive force Ly (N / m 3 ) acts as a negative factor. Therefore, the effective Lorentz force density F (N / m 3 ) is defined as shown by the following formula (4). Here, α is a coefficient indicating the adverse effect of electromagnetic repulsion.

Figure JPOXMLDOC01-appb-M000004
Figure JPOXMLDOC01-appb-M000004

 上記αは鋳型短辺に平行な方向の悪影響度を示す係数であるため、鋳型短辺の長さによってその影響度は変化する。発明者は、一般的な連続鋳造機として、200mmから300mmの鋳型短辺長さに関して、上記式(4)による評価が図6に示した評価と同等になるαについて検討を行った。その結果、αを3~7の範囲とすることが適切であることを知見した。なお、αが3未満の場合には、鋳型短辺に平行なローレンツ力を過小評価することとなり、αが7を超えると、鋳型短辺に平行なローレンツ力を過大評価することとなる。 Since α is a coefficient indicating the degree of adverse effect in the direction parallel to the mold short side, the degree of influence varies depending on the length of the mold short side. As a general continuous casting machine, the inventor examined α in which the evaluation by the above formula (4) is equivalent to the evaluation shown in FIG. 6 with respect to the mold short side length of 200 mm to 300 mm. As a result, it was found that it is appropriate to set α in the range of 3-7. When α is less than 3, the Lorentz force parallel to the mold short side is underestimated. When α exceeds 7, the Lorentz force parallel to the mold short side is overestimated.

 図7は、電磁斥力の悪影響度を示す係数αを5とした場合における、実効ローレンツ力密度F(N/m)の周波数依存性を示した図である。図7より、実効ローレンツ力密度F(N/m)が最大値となるのは、電流周波数が1.2Hzのときであることがわかる。 FIG. 7 is a graph showing the frequency dependence of the effective Lorentz force density F (N / m 3 ) when the coefficient α indicating the adverse effect of electromagnetic repulsion is 5. FIG. 7 shows that the effective Lorentz force density F (N / m 3 ) has the maximum value when the current frequency is 1.2 Hz.

 従来技術よりもピンホール性欠陥を抑制できるのは、図3および図6から、電流周波数が0.9Hz~2.3Hzの範囲であり、この範囲は、実効ローレンツ力密度Fが、その最大値Fmaxから0.9Fmaxの範囲(電流周波数が0.9~2.0Hz)に相当する。このように、上記式(4)を用いることにより、電磁場解析のみの結果から最善な電磁攪拌装置の周波数を決定することができる。 From FIG. 3 and FIG. 6, it is possible to suppress the pinhole defect as compared with the prior art in the range of the current frequency from 0.9 Hz to 2.3 Hz. This range is the effective Lorentz force density F, which is the maximum value. This corresponds to a range from Fmax to 0.9Fmax (current frequency is 0.9 to 2.0 Hz). Thus, by using the above formula (4), the best frequency of the electromagnetic stirring device can be determined from the result of only the electromagnetic field analysis.

 本発明は、発明者による上記検討結果に基づいてなされたものであり、
  鋳型に設置した電磁攪拌装置を用いた鋼の連続鋳造において、
  鋳型長辺に平行な方向のローレンツ力密度成分を前記電磁攪拌装置の構成要素である鉄芯コアが存在する範囲で平均化した値をLx(N/m)とし、
  鋳型短辺に平行な方向のローレンツ力密度成分を前記鉄芯コアが存在する範囲で平均化した値をLy(N/m)とした場合、
  上記式(4)によって算出される実効ローレンツ力密度F(N/m)と電磁攪拌装置の電流周波数(Hz)との関係を求め、
  前記実効ローレンツ力密度Fの最大値Fmaxから0.9Fmaxの範囲の電磁攪拌電流の周波数を用いる、鋼の連続鋳造方法である。
The present invention has been made based on the above examination results by the inventors,
In continuous casting of steel using an electromagnetic stirrer installed in the mold,
Lx (N / m 3 ) is a value obtained by averaging the Lorentz force density component in the direction parallel to the mold long side in the range where the iron core that is a component of the electromagnetic stirrer exists.
When the value obtained by averaging the Lorentz force density component in the direction parallel to the mold short side in the range where the iron core is present is Ly (N / m 3 ),
Obtain the relationship between the effective Lorentz force density F (N / m 3 ) calculated by the above formula (4) and the current frequency (Hz) of the electromagnetic stirring device,
This is a continuous casting method of steel using a frequency of electromagnetic stirring current in a range of the maximum value Fmax to 0.9Fmax of the effective Lorentz force density F.

 上記本発明によれば、鋳型内溶鋼を電磁攪拌する際に発生する電磁斥力を可能な限り小さくできる電磁攪拌装置の最善の電流周波数を、電磁場解析のみの結果から決定することができる。従って、鋳片表層にArガスの気泡が寄せ集められることを可能な限り抑制でき、ピンホール性欠陥を更に抑制することができる。 According to the present invention, the best current frequency of the electromagnetic stirrer that can reduce the electromagnetic repulsion generated when the molten steel in the mold is electromagnetically stirred as much as possible can be determined from the result of the electromagnetic field analysis alone. Therefore, Ar gas bubbles can be prevented from being collected on the surface of the slab as much as possible, and pinhole defects can be further suppressed.

 本発明は上記した例に限らないことは勿論であり、請求項に記載の技術的思想の範疇であれば、適宜実施の形態を変更しても良いことは言うまでもない。 Of course, the present invention is not limited to the above-described example, and it is needless to say that the embodiments may be appropriately changed within the scope of the technical idea described in the claims.

 発明者は、非特許文献2に記載された方法で流体シミュレーションを行ったが、熱流体シミュレーションを行うのは、非特許文献2に記載された方法に限らないことは言うまでもない。 The inventor performed the fluid simulation by the method described in Non-Patent Document 2, but it goes without saying that the thermal fluid simulation is not limited to the method described in Non-Patent Document 2.

 11…鋳型
 13…電磁攪拌装置
 13a…鉄芯コア
DESCRIPTION OF SYMBOLS 11 ... Mold 13 ... Electromagnetic stirring apparatus 13a ... Iron core

Claims (1)

鋳型に設置した電磁攪拌装置を用いた鋼の連続鋳造において、
 鋳型長辺に平行な方向のローレンツ力密度成分を前記電磁攪拌装置の構成要素である鉄芯コアが存在する範囲で平均化した値をLx(N/m)とし、
 鋳型短辺に平行な方向のローレンツ力密度成分を前記鉄芯コアが存在する範囲で平均化した値をLy(N/m)とした場合、
 下記式によって算出される実効ローレンツ力密度F(N/m)と電磁攪拌装置の電流周波数(Hz)との関係を求め、
 前記実効ローレンツ力密度Fの最大値Fmaxから0.9Fmaxの範囲の電磁攪拌電流の周波数を用いることを特徴とする、鋼の連続鋳造方法。
 F=Lx-α・Ly
 但し、α:電磁斥力の悪影響度を示す係数(=3~7)。
In continuous casting of steel using an electromagnetic stirrer installed in the mold,
Lx (N / m 3 ) is a value obtained by averaging the Lorentz force density component in the direction parallel to the mold long side in the range where the iron core that is a component of the electromagnetic stirrer exists.
When the value obtained by averaging the Lorentz force density component in the direction parallel to the mold short side in the range where the iron core is present is Ly (N / m 3 ),
The relationship between the effective Lorentz force density F (N / m 3 ) calculated by the following formula and the current frequency (Hz) of the electromagnetic stirrer is obtained,
A continuous casting method of steel, wherein a frequency of an electromagnetic stirring current in a range of the maximum value Fmax to 0.9Fmax of the effective Lorentz force density F is used.
F = Lx-α · Ly
Where α is a coefficient (= 3 to 7) indicating the adverse effect of electromagnetic repulsion.
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