TECHNICAL FIELD
[0001] The present invention relates to a method of continuous casting of steel employing
an electromagnetic coil configured to selectively activate electromagnetic braking
or electromagnetic stirring, and an in-mold molten steel flow controller for implementing
this continuous casting method.
BACKGROUND ART
[0002] In typical continuous casting of steel, molten steel is injected into a mold using
an immersion nozzle with two outlet ports. FIG. 13 is a schematic sectional view of
a fluid state of molten steel within a mold in this typical continuous casting. Molten
steel 2, which is discharged from an outlet port 1a of an immersion nozzle 1, collides
against a solidifying shell 2c on a narrow side 3a of a mold 3. The molten steel then
separates into an upward flow 2a and a downward flow 2b. The upward flow 2a then forms
a horizontal flow below the meniscus and moves in the direction of the immersion nozzle
1. Reference Numeral 4 in FIG. 13 illustrates a mold powder.
[0003] Control of the flow of molten steel in the mold is of the utmost importance in the
casting operation and in quality control of cast slabs. There are various methods
for achieving flow control of molten steel, such as improving the shape of the immersion
nozzle, or applying an electromagnetic force to the molten steel in the mold. In recent
years, the method of applying an electromagnetic force to the molten steel has come
to be widely used. There are two methods of applying an electromagnetic force to the
molten steel: using an electromagnetic brake to apply a braking force to the molten
steel flow that is discharged from the immersion nozzle (referred to below as a discharge
flow), and using electromagnetic stirring to stir the molten steel by means of an
electromagnetic force.
[0004] Electromagnetic braking is used to prevent a reduction in product quality and to
prevent the occurrence of break-out, which accompanies re-melting of a solidifying
shell, when the discharge flow collides against the solidifying shell on the narrow
sides of the mold. Electromagnetic braking can also be used to increase the casting
velocity by controlling the molten steel flow velocity below the meniscus. On the
other hand, electromagnetic stirring is known to have the effect of improving product
quality, and is primarily used in the casting of high-grade materials.
[0005] These electromagnetic brake and electromagnetic stirrer are formed as electromagnetic
coil devices with windings around their respective magnetic cores. A magnetic core
often employs a ferromagnetic material such as an iron material, and is often also
referred to as an iron core. In this specification, the magnetic core will subsequently
be referred to simply as a core. Soft iron is often used as a core in an electromagnetic
brake. On the other hand, an electromagnetic steel plate is typically employed in
electromagnetic stirring, which uses alternating current, in order to reduce core
loss due to electromagnetic induction.
[0006] Ordinarily, these electromagnetic coil devices have only a single function of either
an electromagnetic brake or an electromagnetic stirrer. Accordingly, for some time
now, electromagnetic coil devices have been developed with the capability of functioning
both as electromagnetic brakes and as electromagnetic stirrers (referred to below
as dual-purpose coils).
[0007] For example, Patent Reference 1 discloses a method for selectively applying direct
current, multi-phase alternating current, or direct and indirect superimposed current,
to a dual-purpose coil having an odd number (equal to or more than 3) of teeth with
a central teeth portion positioned at the outlet port of the immersion nozzle. This
method makes it possible to selectively activate electromagnetic braking or electromagnetic
stirring.
Patent Reference 1: Japanese Patent Application Kokai Publication No. S63-188461
[0008] However, in the technology disclosed in Patent Reference 1, when electromagnetic
braking is activated, a direct magnetic flux is passed through the immersion nozzle.
Passing a direct magnetic flux through the immersion nozzle often causes casting defects
known as longitudinal cracks. Moreover, when activating electromagnetic braking, it
is generally necessary to increase the density of the magnetic flux that penetrates
the mold in the direction of the thickness. In order to increase the density of the
magnetic flux, the width of the teeth portion must be increased.
[0009] On the other hand, when activating electromagnetic stirring, the flow of molten steel
in the vicinity of opposite mold wall surfaces flows in mutually opposing directions.
The resulting swirling flow is effective in enhancing product quality. Since a magnetic
flux passing through in the direction of the thickness of the mold is not effective
in this case, the width of the teeth portion cannot be increased.
[0010] Accordingly, since it is more difficult to obtain electromagnetic stirring than electromagnetic
braking by using a dual-purpose coil, the apparatus is designed with priority being
given to electromagnetic stirring performance. Since the dual-purpose coil disclosed
in Patent Reference 1 is a linear coil with a teeth portion having a narrow width,
it is suited to electromagnetic stirring. However, it is unable to sufficiently ensure
electromagnetic braking performance, since the width of the teeth portion is narrow.
[0011] In order to address the problem, the assignee of the present application proposed
in Patent Reference 2 the use of an electromagnetic coil in which windings around
the respective teeth portions, and windings around the outer side of two teeth portions
are united.
Patent Reference 2: Japanese Patent Application Kokai Publication No. S60-44157
[0012] Since the two teeth portions and the yoke portion of this electromagnetic coil resemble
the Greek letter π (pi), it is called a pi-electromagnetic stirring coil (referred
to below as a pi-coil).
[0013] Furthermore, in Patent Reference 3, the present inventors disclosed a dual-purpose
coil technology employing a pi-coil. This pi-coil, as described above, forms a single
unit by having windings around the outer side of two teeth portions. Therefore, when
activating electromagnetic braking, the problem of the teeth portion having a narrower
width can be solved by magnetization of the two teeth portions together.
Patent Reference 3: Japanese Patent Application Kokai Publication No. 2007-7719
[0014] The dual-purpose coil configuration of the present invention is similar to that of
Patent Reference 3. This dual-purpose coil configuration is shown in FIG. 14.
[0015] FIG. 14 shows the continuous structure of two pi-coils 5 on a wide side 3b of a mold
3. In such a structure, the optimal numbers and widths of teeth 5a depend on the desired
size of the mold 3. In the past, these numbers and widths were set on the basis of
experience, and performance was confirmed by numerical analysis. That is to say, lengthy
experience and a great amount of time were required to suitably select the number
and width of the teeth 5a. In FIG. 14, 5b is a core, 5c is an inner winding, and 5d
is an outer winding.
[0016] In order to enhance the surface quality of cast slabs, electromagnetic stirring of
molten steel must be performed below the meniscus. However, skillfully stirring molten
steel below the meniscus is a technique that is difficult to accomplish. In order
to accomplish this, it is first necessary to have knowledge of flow distribution in
an original mold observed under the condition in the absent of electromagnetic force.
[0017] A perpendicular cross section of the flow distribution of in-mold molten steel is
shown in FIG. 13. FIG. 15 shows a horizontal cross section below the meniscus [FIG.
15 (a)] and at the position where the outlet port is placed [FIG. 15 (b)]. As explained
above with FIG. 13, molten steel 2 injected through the outlet port 1a of the immersion
nozzle 1 collides against the solidifying shell 2c on the narrow side 3a of the mold
3, after which the molten steel is separated into the upward flow 2a, which moves
toward the meniscus, and the downward flow 2b, which moves in the direction of withdrawal.
[0018] Accordingly, as shown in FIG. 15 (b), a molten steel flow 9b is formed at the position
of the outlet port 1a and moves from the immersion nozzle 1 toward the narrow side
3a. On the other hand, molten steel flow 9a forms below the meniscus, moving from
the narrow side 3a toward the immersion nozzle 1, as shown in FIG. 15 (a).
[0019] When an electromagnetic force is applied so as to form a swirling flow 8 in a clockwise
direction, as shown in FIG. 15 as the molten steel moves between the narrow side 3a
and the immersion nozzle 1, there are regions in the forward direction of the original
molten steel flow (referred to below as the forward direction region) and regions
in the reverse direction (referred to below as the reverse direction region).
[0020] In the reverse direction region, a large electromagnetic force is required to reverse
the flow. However, if an electromagnetic force required for the reverse direction
region is applied uniformly in the direction of the wide side of the mold, a problem
arises in that the molten steel flow in the forward direction region is further accelerated.
[0021] If the molten steel flow at the outlet port position is accelerated excessively,
the solidifying shell becomes thin, cracks develop shortly thereafter, and break-out
occurs. Even if break-out does not result, the flow from the narrow side of the mold
below the meniscus toward the immersion nozzle intensifies since there is increased
upward flow. Consequently, it becomes difficult to obtain a swirling flow below the
meniscus. Moreover, the direction of the electromagnetic force to be applied in order
to reverse the flow below the meniscus matches the direction for accelerating the
molten steel at the outlet port position. Accordingly, application of a suitable electromagnetic
force to achieve the swirling flow below the meniscus poses a significant problem.
[0022] In order to solve this problem, an electromagnetic stirring coil 6 in the direction
of the wide side 3b of the mold 3 was divided into two parts, EMS-A and EMS-B, and
EMS-C and EMS-D, respectively. A technology for controlling the current applied to
each of the further divided coils is disclosed in Patent Reference 4 (see FIG. 16).
Patent Reference 4: Japanese Patent No. 2965438
[0023] Patent Reference 5 discloses a technology that causes the electromagnetic force in
the direction from the immersion nozzle 1 to the narrow side 3a of the mold 3 (EMS-B
and EMS-C in FIG. 16) to be greater than the electromagnetic force in the direction
from the narrow side 3a to the immersion nozzle 1 (EMS-A and EMS-D). However, since
this technology gives priority to an electromagnetic force which forms a swirling
flow below the meniscus, the problem of accelerating the molten steel flow velocity
at the position where the outlet port is placed exists.
Patent Reference 5: Japanese Patent No. 2948443
[0024] Patent Reference 6 discloses a technology for applying an electromagnetic force to
molten steel, such that Vs ≥ Ve, where Vs is the starting point flow velocity along
the wide side, and Ve is the terminal side flow velocity along the wide side, at the
¼ point of the wide side of the mold in the position where the outlet port is placed
(see FIG. 16).
Patent Reference 6: Japanese Patent No. 3577389
[0025] The technology of Patent Reference 6 is able to produce a current applied to EMS-B
and EMS-C shown in FIG. 16 which is equal to or less than 0.5 times of that applied
to EMS-A and EMS-D (claim 5 of Patent Reference 6). This method gives priority to
reducing the acceleration of molten steel flow at the outlet port position, which
is the opposite of the method of Patent Reference 4 above. As a result, there is insufficient
electromagnetic force in the reverse direction region below the meniscus, thereby
causing the problem that stirring does not sufficiently reach the corner areas of
the mold.
[0026] Patent Reference 7 discloses a technology for arranging the core of the electromagnetic
stirring coil only near the meniscus. In this technology, since electromagnetic force
is applied only below the meniscus, the problem of accelerating the discharge flow
can be avoided. However, this technology cannot be applied to dual-purpose coils,
since electromagnetic braking must generate a magnetic flux at the position where
the outlet port is placed.
Patent Reference 7: Japanese Patent Application Kokai Publication No. H07-314104
DISCLOSURE OF THE INVENTION
PROBLEM TO BE SOLVED BY THE INVENTION
[0027] The problem to be solved by the present invention is that there is a need to improve
the electromagnetic stirring performance below the meniscus, since electromagnetic
braking performance is given priority in continuous casting, which employs an electromagnetic
coil device capable of functioning both as an electromagnetic brake and as an electromagnetic
stirrer, in the prior art.
MEANS FOR SOLVING THESE PROBLEMS
[0028] The method of continuous casting of steel according to an embodiment of the present
invention is a method for continuous casting of steel that selectively causes electromagnetic
braking or electromagnetic stirring to act on molten steel in a mold by applying direct
current or 3-phase alternating current to an electromagnetic coil disposed around
a wide side of a mold, so as to achieve electromagnetic stirring performance below
the meniscus. This method may include the acts of:
arranging the electromagnetic coil so that it has 2n teeth on each wide side, wherein
n is a natural number greater than or equal to two;
providing the teeth with an inner winding around each tooth, and an outer winding
around every two teeth provided with the inner winding, the outer winding thereby
forming a single unit excitation coil comprising two teeth having inner and outer
windings,
disposing a core of the electromagnetic coil within a vertical region of a mold, the
vertical region extending from a meniscus of molten steel to a position of an outlet
port of an immersion nozzle of the mold, wherein the core is a magnet that comprises
the teeth; and
inducing an electromagnetic force in the molten steel below the meniscus when electromagnetically
stirring the molten steel in the mold, the electromagnetic force being at least twice
the electromagnetic force induced at the position where the outlet port of the immersion
nozzle is placed.
[0029] The method of continuous casting of steel may be implemented by employing an in-mold
molten steel flow controller. The in-mold molten steel controller may include:
an electromagnetic coil having 2n teeth, wherein n is a natural number greater than
or equal to 2 and n teeth are arranged on each of wide side of a mold, wherein each
tooth is provided with an inner winding, and wherein an outer winding is disposed
around every two teeth, the outer winding thereby forming a single unit excitation
coil comprising two teeth having the inner and outer windings;
a direct current source;
a 3-phase alternating current source;
a mold; and
a core of the electromagnetic coil, the core being a magnet, wherein the core is disposed
within a vertical region of the mold, the vertical region extending from a meniscus
of molten steel disposed in the mold to a position of an outlet port of an immersion
nozzle of the mold,
wherein each tooth has a width W and the mold has a width L, wherein the number of
the electromagnetic coils n disposed on each wide side, each of which unifies two
teeth, satisfies (L - 80) / (3W + 400) ≤ n ≤ (L + 200) / (3W + 200).
ADVANTAGEOUS EFFECTS OF THE INVENTION
[0030] According to the present invention, a dual-purpose coil which can be used for electromagnetic
braking and for electromagnetic stirring induces an electromagnetic force , below
the meniscus during electromagnetic stirring, which is greater than the electromagnetic
force at the position where the outlet port of the immersion nozzle is placed. This
makes it possible to form a favorable swirling flow of molten steel below the meniscus.
It is also possible to easily determine the basic shape of the dual-purpose coil,
thereby making it possible to greatly reduce the time required to design the dual-purpose
coil.
BRIEF DESCRIPTION OF THE DRAWINGS
[0031]
FIG. 1 shows a computation model of electromagnetic field analysis of an embodiment
of the present invention. FIG. 1 (a) is a drawing showing the entire model. FIG. 1
(b) is a horizontal sectional view. FIG. 1 (c) is a vertical sectional view.
FIG. 2 is a graph showing a ratio of the electromagnetic force below the meniscus
to the electromagnetic force at the outlet port position (electromagnetic force ratio),
and the distance relationships from the upper end of the core to the upper end of
the copper mold in an embodiment of the present invention.
FIG. 3 is a graph showing the relationship between the frequency and the distance
from the upper end of the core to the upper end of the copper mold when the electromagnetic
force ratio is at least 2.0-fold according to an embodiment of the present invention.
FIG. 4 is a diagram showing the shape parameters of a dual-purpose coil of an embodiment
of the present invention.
FIG. 5 is a graph showing the relationship between the width of the teeth and the
magnetic flux density at the center of the mold thickness direction according to an
embodiment of the present invention.
FIG. 6 shows graphs of flow velocity distribution near the wide side of the mold below
the meniscus according to an embodiment of the present invention.
FIG. 7 shows diagrams of flow velocity distribution below the meniscus or at the immersion
nozzle outlet port position in the case of current phase pattern X or current phase
pattern Y in an embodiment of the present invention.
FIG. 8 shows graphs of horizontal flow velocity below the meniscus and at the immersion
nozzle outlet port position, at a position 10 mm from the wide side wall of the mold,
according to an embodiment of the present invention.
FIG. 9 shows diagrams of the results of flow analysis when a linear coil is applied.
FIG. 10 shows graphs of flow velocity distribution near the wide side in current phase
pattern Y in an embodiment of the present invention.
FIG. 11 shows diagrams of the results of flow analysis when a dual-purpose coil of
the present invention is utilized for electromagnetic stirring when the mold width
is 1100 mm and the casting velocity is 2.0 m/min.
FIG. 12 shows diagrams of magnetization patterns when electromagnetic braking is activated
in the present invention. FIG. 12 (a) shows an NNSS pattern, and FIG. 12 (b) shows
an NSNS pattern.
FIG. 13 is a vertical sectional view schematically showing the flow state of in-mold
molten steel in conventional continuous casting.
FIG. 14 shows diagrams illustrating dual-purpose coil configurations of the present
invention.
FIG. 14 (a) is a horizontal sectional view, and FIG. 14 (b) is a vertical sectional
view of the dual-purpose coil of FIG. 14.
FIG. 15 (a) is a diagram illustrating the flow distribution below the meniscus, and
FIG. 15 (b) is a diagram illustrating the flow distribution at the immersion nozzle
outlet port position.
FIG. 16 is a diagram illustrating the case where the electromagnetic stirring coil
is divided in two in the direction of the wide side.
BRIEF DESCRIPTION OF THE REFERENCE NUMERALS
[0032]
- 1
- Immersion nozzle
- 1a
- Outlet port
- 2
- Molten steel
- 2a
- Upward flow
- 2b
- Downward flow
- 3
- Mold
- 3a
- Narrow side
- 3b
- Wide side
- 5
- Pi-coil
- 5a
- Teeth
- 5b
- Core
- 5c
- Inner winding
- 5d
- Outer winding
PREFERRED EMBODIMENTS
[0033] In conventional continuous casting of steel employing a dual-purpose coil capable
of serving the functions of both electromagnetic braking and electromagnetic stirring,
it was desired that the molten steel flow did not accelerate at the position where
the outlet port of the immersion nozzle is placed, while achieving a favorable swirling
flow of molten steel below the meniscus. The present invention solves these problems
by providing an electromagnetic force distribution in which the electromagnetic force
below the meniscus is greater than the electromagnetic force at the position where
the outlet port is placed.
EMBODIMENTS
[0034] FIGS. 1-12 illustrate a process from its initial conception of the present invention
to its solution of the problems of the prior art and illustrate the embodiments for
implementing the present invention. As described above, the prior art dual-purpose
coil does not solve the problem that it is not desirable for the molten steel flow
to accelerate at the position where the outlet port of the immersion nozzle is placed,
while needing obtain a favorable swirling flow of molten steel by applying a large
electromagnetic force to the flow of molten steel below the meniscus.
[0035] The reason why this problem could not be solved is that the electromagnetic force
generated by a prior art dual-purpose coil is uniform in the perpendicular direction.
Thus, if a dual-purpose coil is able to provide an electromagnetic force distribution
such that the electromagnetic force below the meniscus is greater than the electromagnetic
force at the position where the outlet port is placed, then this problem can be solved.
[0036] Accordingly, the inventors have developed a dual-purpose coil capable of applying
an electromagnetic force below the meniscus that is greater than the electromagnetic
force at the position where the outlet port is placed. Moreover, the inventors have
developed a method of determining the number and width of teeth of the dual-purpose
coil by using a formula which takes into consideration the desired mold width, instead
of determining the number and width of the teeth on the basis of trial and error experience
as is required in the prior art.
[0037] The inventors employed numerical analysis to make electromagnetic field analysis
in order to find conditions under which the electromagnetic force below the meniscus
is greater than the electromagnetic force at the position where the outlet port is
placed. As a result, the inventors have discovered that an electromagnetic force distribution
can be achieved where the electromagnetic force below the meniscus is at least twice
the electromagnetic force at the position where the outlet port is placed, by adjusting
the electrical current frequency and by adjusting the length from the upper end of
the core to the upper end of the copper mold.
[0038] FIG. 1 illustrates a computation model of electromagnetic field analysis. FIG. 1
(a) shows the entire model, FIG. 1 (b) shows a horizontal sectional view, and FIG.
1 (c) shows a vertical sectional view. Non-magnetic stainless steel is installed on
the outer side of the mold 3 as back-up plate 7. The upper end of the core 5b is at
the same height as the meniscus. The width of the windings 5c and 5d is 50 mm.
[0039] As described above, the electromagnetic coil in the present invention has 2n (n is
a natural number 2 or greater) teeth 5a at each wide side 3b of the mold 3. These
teeth 5a are provided with inner windings 5c on each of their respective outer sides.
The teeth 5a, which are provided with the inner winding 5c around each tooth, are
further formed into a single unit by the outer winding 5d disposed around the outer
side of every two teeth.
[0040] The inner winding 5c is provided on the outer surface of each tooth 5a. The inner
winding 5c, which is a coil, is referred to as an excitation coil. Moreover, the teeth
5a that are provided with the inner winding 5c around each tooth are further provided
with the outer winding 5d disposed around the outer side of every two teeth. The outer
winding 5d is also referred to as an excitation coil. Therefore, these three excitation
coils (5c and 5d) are united to form a single electromagnetic coil for each unit of
two teeth. That is, the three excitation coils 5c and d form the pi-coil 5.
[0041] A current of 45,000 ampere turns (abbreviated below as AT) was applied to each excitation
coil of the windings 5c and 5d, and numerical analysis was performed on the electromagnetic
steel sheet laminate of the core 5b. The numerical analysis conditions for the subsequent
electromagnetic stirring serve as the basic conditions, and only places where there
are modifications will be indicated below.
[0042] The distance h (mm) is the distance from the upper end of the core 5b to the upper
end of the copper mold 3 shown in FIG. 1 (c). In addition, f (Hz) is the current frequency.
FIG. 2 shows the ratio of the electromagnetic force below the meniscus to the electromagnetic
force at the position where the outlet port is placed (referred to below as the "electromagnetic
force ratio" below) when the values of h and f are varied. Here, the electromagnetic
force was used to evaluate the electromagnetic force component in the direction of
the wide side on the wide side wall of the mold, on the inner side below the meniscus,
and at the position where the outlet port is placed, respectively. The position of
the outlet port of the immersion nozzle was set at 270 mm from the meniscus on the
downstream side.
[0043] FIG. 2 illustrates that the lower the value of h and the higher the value of f, the
greater the ratio of the electromagnetic force below the meniscus to the electromagnetic
force at the position of the outlet port. In addition, as a result of examining the
relationship between h and f when the electromagnetic force ratio is double, the relationship
shown in FIG. 3 is obtained. In the region of FIG. 3 is illustrated with diagonal
lines, the electromagnetic force below the meniscus can be made to be at least twice
the electromagnetic force at the position of the outlet port of the immersion nozzle.
This region is defined as the two straight lines resulting from Equations (1) and
(2) below.

[0044] The following is a description of a method for determining the appropriate width
of the teeth of the dual-purpose coil and the number of pi-coils.
Molds for continuous casting typically have a structure such that the narrow side
of the mold is movable in the direction of the slab width, and the length of the wide
side of the mold (referred to below as the mold width) can be adjusted during casting.
Therefore, slabs with different widths can be cast even while casting is in progress.
Variations in mold with are on the order of 500 mm, and it is desirable for dual-purpose
coils to be adaptable to changes in mold width.
[0045] When designing prior art dual-purpose coils, the number and width of teeth are selected
on the basis of experience, depending on the width, thickness, and height of the mold
to be used, and numerical analysis may be used to test whether or not these were appropriate.
However, lengthy computation time is required for this numerical analysis, and a long
time was needed to study the optimal design of dual-purpose coils since the mold width
could change.
[0046] As a result of their work in developing dual-purpose coils, the inventors have found
that Equation (3) below can be used to determine the number and width of teeth most
suited for the desired mold size.

Here, L is the width of the mold (mm), W is the width of the teeth (mm), and n is
the number of pi-coils.
The width W of the teeth is on the order of 80-200 mm, and preferably 120-170 mm.
[0047] FIG. 4 shows the shape parameters which are the determining factors in design of
the dual-purpose coils. The following is a description of the process used to derive
Equation (3). Initially, teeth of a certain width are required to ensure electromagnetic
braking performance. FIG. 5 shows the relationship between the width of the teeth
and the magnetic flux density at the center of the mold in the direction of the mold
thickness.
[0048] FIG. 5 shows the results of numerical analysis when the thickness of the copper mold
3 is 40 mm, the thickness of the back-up plate 7 is 70 mm, and the length t in the
direction of the mold thickness (see FIG. 4) is 270 mm or 300 mm.
[0049] A magnetic flux density of at least 2,000 Gauss, and preferably at least 2,500 Gauss
is required to ensure adequate electromagnetic braking performance. Accordingly, we
see from FIG. 5 that a dual-purpose coil teeth width W of at least 80 mm, and preferably
120 mm or more, is desirable.
[0050] Next, the shape of the dual-purpose coil is adjusted according to the electromagnetic
stirring performance. In a dual-purpose coil, n pi-coils are arranged in parallel
so that the yoke on the wide side is continuous. When the interval D between teeth
of the pi-coils is equal to the width W of the teeth, a good balance between electromagnetic
braking performance and electromagnetic stirring performance is achieved.
[0051] Accordingly, on the wide side of the mold, the width which takes up n pi-coils is
3Wn. The distance M between pi-coils, and the distance S from the outermost teeth
end to the narrow side of the mold are added to this 3Wn, and should equal the mold
width L, as in Equation (4) below.

[0052] When Equation (4) is solved for n, Equation (5) results.

[0053] The inventors conducted flow analysis for the 8 cases shown in Table 1 below in order
to determine the range of W, M, and S at which electromagnetic stirring functions
sufficiently. Flow analysis was performed with the casting velocity set at 1.6 m/min.
As a result of repeated study of excitation coil current phases during electromagnetic
stirring, the combinations shown in Tables 2 and 3 below were found to be favorable.
Table 2 is referred to as current phase pattern X, and Table 3 is referred to as current
phase pattern Y.
[0054] A, B, and C in Tables 2 and 3 show various phases of 3-phase alternating current
where the mutual phase difference is 120°. Tables 2 and 3 show combinations of current
phases applied to excitation coils corresponding to the excitation coil numbers given
in FIG. 4. Examination computations of shape parameters utilizing the current phase
pattern X are listed in Table 2. Current frequency f was set at 4.0 Hz and the distance
h from the upper end of the core of the electromagnetic coil to the upper end of the
copper mold was set at 100 mm.
[0055]
TABLE 1
| Case No. |
Teeth width W (mm) |
Distance M (mm) between Pi-coils |
Distance S (mm) from end of outermost teeth to narrow end of mold |
| 1 |
120 |
200 |
350 |
| 2 |
140 |
200 |
290 |
| 3 |
140 |
300 |
240 |
| 4 |
140 |
400 |
190 |
| 5 |
140 |
500 |
140 |
| 6 |
140 |
600 |
90 |
| 7 |
170 |
400 |
100 |
| 8 |
170 |
500 |
90 |
[0056]
TABLE 2
| Coil No. |
(7) |
(8) |
(9) |
(10) |
(11) |
(12) |
| Current phase |
-C |
+A |
+B |
+C |
-A |
-B |
| Coil No. |
(1) |
(2) |
(3) |
(4) |
(5) |
(6) |
| Current phase |
-C |
+B |
+A |
+C |
-B |
-A |
[0057]
TABLE 3
| Coil No. |
(7) |
(8) |
(9) |
(10) |
(11) |
(12) |
| Current phase |
+B |
-C |
-A |
+C |
-A |
-B |
| Coil No. |
(1) |
(2) |
(3) |
(4) |
(5) |
(6) |
| Current phase |
-C |
+B |
+A |
-B |
+A |
+C |
[0058] The results of flow analysis are given in FIG. 6, with the flow velocity distribution
near the wide side of the mold below the meniscus. FIG. 6 confirms that molten steel
is flowing near the wide side of the mold in each instance from Case 1 to Case 8.
Thus, when the teeth width W is 120 mm-170 mm, electromagnetic stirring of in-mold
molten steel is considered to be possible.
[0059] However, reversing the flow velocity in the corner areas of the mold (Cases 1 and
2) and reducing the flow velocity near the immersion nozzle 10 cm/s or less (Cases
6 and 8) is not good for improving the quality of steel slabs.
[0060] Accordingly, if an inappropriate coil shape (Cases 1, 2, 6, and 8) listed in Table
1 is eliminated, then a range of S of 240 mm or less and a range of M of 400 mm or
less is suitable. In Case 5, an M of 500 mm is suitable, but an M of 500 mm is not
suitable in Case 8. Accordingly, M was set at 400 or less. In addition, space is required
for the windings between the pi-coils. This space must be a minimum of 200 mm, so
the range of M is set at 200 mm to 400 mm. These values are substituted into Equation
(5) to obtain Equation (3).
[0061] The following is a description of examples of dual-purpose coil design based on the
present invention. Thickness t of the mold in question is 270 mm, and the mold width
is 1100 mm and 1620 mm. When suitable values of W, M, and S are substituted into Equations
(3) and (4), it creates a condition in which S ≤ 200 and 200 ≤ M ≤ 400 can be easily
applied, as shown in Table 4 below. In the Judgment column in Table 4, o indicates
that the results are judged to be suitable, and × indicates that the results are judged
to be unsuitable.
[0062]
TABLE 4
| L (mm) |
W (mm) |
n (number) |
M (mm) |
S (mm) |
Judgment |
| 1620 |
100 |
3 |
320 |
200 |
○ |
| 1620 |
120 |
3 |
140 |
200 |
× |
| 1620 |
130 |
2 |
440 |
200 |
× |
| 1620 |
140 |
2 |
380 |
200 |
○ |
| 1620 |
150 |
2 |
320 |
200 |
○ |
| 1620 |
160 |
2 |
260 |
200 |
○ |
| 1620 |
170 |
2 |
200 |
200 |
× |
| 1620 |
180 |
2 |
140 |
200 |
× |
| 1620 |
190 |
2 |
80 |
200 |
× |
| 1100 |
100 |
2 |
500 |
0 |
× |
| 1100 |
120 |
2 |
380 |
0 |
○ |
| 1100 |
130 |
2 |
320 |
0 |
○ |
| 1100 |
140 |
2 |
260 |
0 |
○ |
| 1100 |
150 |
1 |
650 |
0 |
× |
| 1100 |
160 |
1 |
620 |
0 |
× |
| 1100 |
170 |
1 |
590 |
0 |
× |
| 1100 |
180 |
1 |
560 |
0 |
× |
| 1100 |
190 |
1 |
530 |
0 |
× |
[0063] Table 4 shows that when L = 1620 and when L = 1100, dual-purpose coil shape parameters
which yield favorable results are n = 2 and W = 140 mm. It was found that in this
case, M is suitably 260 mm - 380 mm.
[0064] Subsequently, suitable shape parameters for the dual-purpose coil were set at n =
2, W = 140 mm, M = 320 mm, and h = 100 mm, based on a detailed study using numerical
analysis. Using this dual-purpose coil, electromagnetic stirring of in-mold molten
steel was performed at a casting velocity of 1.6 m/min. The results are shown in FIG.
7 and FIG. 8.
[0065] The frequency f and the distance h from the upper end of the core of the pi-coil
to the upper end of the mold, are set at h = 100 mm and f = 4.0 Hz, respectively,
thereby satisfying the conditions of claim 2. FIG. 7 shows the results of flow analysis
conducted using the current phase patterns X and Y given in Tables 2 and 3.
[0066] FIG. 7 (a) shows the flow velocity distribution below the meniscus under current
phase pattern X, and FIG. 7 (b) shows the flow velocity distribution at the position
of the outlet port of the immersion nozzle under current phase pattern X. FIG. 7 (c)
shows the flow velocity distribution below the meniscus under current phase pattern
Y, and FIG. 7 (d) shows the flow velocity distribution at the position of the outlet
port of the immersion nozzle under current phase pattern Y.
[0067] FIG. 8 (a) and (b) show the horizontal flow velocity distribution at a position 10
mm from the wide side wall of the mold shown by the line A-A' in FIG. 7 (a) and the
line B-B' in FIG. 7 (b). FIG. 8 (a) shows the horizontal flow velocity distribution
under the condition of current phase pattern X. FIG. 8 (b) shows the horizontal flow
velocity distribution under the condition of current phase pattern Y.
[0068] Based on FIG. 7 (a)-(d), current phase pattern X and current phase pattern Y are
both able to form a swirling flow below the meniscus. However, current phase pattern
Y [FIG. 7 (d)] provides a better flow in the reverse direction region. This is because
an electromagnetic force generated by interference between adjacent pi-coils is more
suitable for electromagnetic stirring in the case of current phase pattern Y.
[0069] Based on FIG. 8 (a) and (b), it can be determined that according to the present invention,
the flow velocity below the meniscus is greater than the flow velocity at the position
of the outlet port of the immersion nozzle, and that stirring can reach the corners
of the mold in most regions.
[0070] For the sake of comparison with the above described embodiment of the present invention,
FIG. 9 shows the results of flow analysis when a linear coil disclosed in Patent Reference
6 is used. Note that the currents in the electromagnetic coils on the right and on
the left were calculated as having identical values, without using a technology which
applies different electromagnetic forces to the electromagnetic coils on the right
and on the left, such as that as disclosed in Patent Reference 6.
[0071] For the sake of comparison with the computational results of the embodiment of the
present invention shown in FIGS. 7 and 8, the current was set at 40,000 AT and the
frequency was set at 3.0 Hz for the linear coil, so that the flow velocity near the
wide side of the mold below the meniscus would be on the order of 55 cm/s, which is
the same as in FIGS. 7 and 8.
[0072] Based on FIG. 9 (c), it was determined that in the case of a linear coil, the flow
velocity in the forward direction region at the position of the discharge position
of the immersion nozzle is greatly accelerated, and that the flow velocity was reversed
at the corner areas of the mold below the meniscus.
[0073] Accordingly, when a linear coil is used, and no measures are taken, such as adjusting
the current in the electromagnetic coils on the right and on the left, then break-out
occurs because the discharge flow accelerates too much. This scenario also results
in deteriorating product quality because the stirring motion is not able to reach
the corner areas of the mold below the meniscus.
[0074] FIG. 10 shows the flow velocity distribution near the wide side of the mold when
the current frequency f is 1.0 Hz, 2.0 Hz, and 3.0 Hz, under current phase pattern
Y in the above described embodiment of the present invention.
[0075] In cases where the frequency is 3.0 Hz, as recited in claim 2 of the present application,
the electromagnetic force below the meniscus is at least twice the electromagnetic
force at the position of the outlet port of the immersion nozzle (see FIG. 3). Therefore,
as shown in FIG. 10 (c), stirring can reach the corner areas of the mold below the
meniscus, without reversing the flow velocity.
[0076] By contrast, if the frequency f shown in FIG. 10 (a) is 1.0 Hz, and if the frequency
shown in FIG. 10 (b) is 2.0 Hz, these are conditions which do not satisfy claim 2
of the present application. Therefore, the electromagnetic force below the meniscus
was not at least twice the electromagnetic force at the position of the outlet port
of the immersion nozzle (see FIG. 3). Accordingly, the flow velocity is reversed in
the corner areas of the mold below the meniscus, thereby resulting in insufficient
stirring and a reduction in product quality.
[0077] That is to say, in the present invention, due to the fact that the electromagnetic
force below the meniscus is at least twice the electromagnetic force at the position
of the outlet port of the immersion nozzle, the flow velocity does not accelerate
excessively at the position of the outlet port, even when the current in the electromagnetic
coils on the right and on the left is not adjusted. In addition, stirring is able
to reach the corner areas of the mold even below the meniscus without reversing the
flow velocity.
[0078] FIG. 11 shows the results of flow analysis when the dual-purpose coil of the present
invention shown in FIG. 1 is applied to electromagnetic stirring when the mold width
L is 1100 mm, and the casting velocity is 2.0 m/min.
[0079] FIG. 11 (a) shows the flow velocity distribution below the meniscus, and FIG. 11
(b) shows the flow velocity distribution at the position where the outlet port of
the immersion nozzle is placed. FIG. 11 (c) illustrates the horizontal flow velocity
at a position 10 mm from the wide side of the mold below the meniscus and at the position
of the outlet port of the immersion nozzle.
[0080] Based on FIG. 11 (a), it can be determined that a swirling flow is produced below
the meniscus, even in cases where the mold width is 1100 mm. Moreover, based on FIG.
11 (b), it can be determined that stirring can reach the corner areas of the mold
below the meniscus without excessively accelerating the flow velocity at the position
of the outlet port of the immersion nozzle, as in cases where the mold width is 1620
mm.
[0081] Table 5 below shows working examples in which a dual-purpose coil of the present
invention is used as an electromagnetic brake, when the mold width is 1620 mm and
1100 mm. The electromagnetic braking performance can be evaluated by the degree to
which there is a decrease in the maximum flow velocity and the flow velocity fluctuation,
in comparison to cases in which there is no electromagnetic braking. Since the maximum
flow velocity decreases at least 5 cm/s, and the flow velocity fluctuation decreases
at least 10 cm/s, it can be determined that sufficient electromagnetic brake performance
is achieved.
[0082]
TABLE 5
| Mold width L (mm) |
Casting velocity (m/min) |
Method of Magnetization |
Maximum Flow Velocity (cm/s) |
Flow Velocity Fluctuation (cm/s) |
| 1620 |
1.8 |
No electromagnetic brake |
37.3 |
29.2 |
| NNSS |
32.3 |
13.0 |
| NSNS |
29.6 |
17.8 |
| 1100 |
2.0 |
No electromagnetic brake |
37.3 |
29.2 |
| NNSS |
32.3 |
13.0 |
[0083] The method of generating magnetic flux density in a dual-purpose coil of FIG. 1 during
electromagnetic braking is basically the NNSS pattern shown in FIG. 12 (a). However,
the NSNS pattern, in which the orientation of magnetic flux density alternates, is
also possible.
[0084] In Patent Reference 3, the inventors disclosed that, the NSNS pattern, which is more
effective in suppressing the maximum flow velocity, is better in terms of electromagnetic
braking performance than the NNSS pattern, which is superior from the standpoint of
suppressing flow velocity fluctuation, as long as magnetic flux density can be obtained
to the same degree.
[0085] If the number of pi-coils n is 4 or more, then it is possible to alternately generate
large magnetic flux densities by magnetizing two adjacent teeth as a single entity.
However, in cases where n = 2, as in FIG. 1, the magnetic flux density is significantly
lower than when two teeth are magnetized as a single entity, since only one tooth
is magnetized in order to implement the NSNS pattern which alternately generates flux
densities.
[0086] Incidentally, when n = 2 in the NNSS pattern, a current of 54,000 AT is applied,
making it possible to obtain a magnetic flux density of 3,000 Gauss or greater. However,
even if a current of 54,000 AT is applied in the NSNS pattern, it was possible to
obtain only a magnetic flux density of 1,060 Gauss.
[0087] Table 5 shows that in the case of the NNSS pattern, the maximum flow velocity decreases
on the order of 5 cm/s and the flow velocity fluctuation decreases on the order of
16 cm/s in comparison to when electromagnetic braking is not activated. On the other
hand, in the case of the NSNS pattern, the maximum flow velocity decreases on the
order of 8 cm/s and the flow velocity fluctuation decreases on the order of 12 cm/s,
even though the magnetic flux density is low. Therefore, in the present invention,
the electromagnetic braking performed by the dual-purpose coil is able to ensure sufficient
performance whether the magnetization pattern is NNSS or NSNS.
[0088] The present invention is of course not limited to the foregoing examples, and the
embodiments can of course be suitably modified, as long as they are within the scope
of the technical ideas recited in the claims.
[0089] For example: a) In the present invention as described above, the immersion nozzle
is positioned in the center of the mold, but the immersion nozzle does not necessarily
have to be positioned in the center of the mold; b) The alternating current does not
have to be 3-phase, but as long as the current phase difference varies from 90° to
120°, it can be multi-phase alternating current on a higher order.
INDUSTRIAL APPLICABILITY
[0090] The present invention described above can be applied to continuous casting using
a curved mold, a vertical mold, or any mold shape, as long as it involves continuous
casting using an immersion nozzle. Moreover, the present invention can be applied
not only to continuous casting of slabs, but also to continuous casting of blooms.
1. A method of continuous steel casting which selectively causes electromagnetic braking
or electromagnetic stirring to act on molten steel in a mold by applying direct current
or 3-phase alternating current to an electromagnetic coil disposed around a wide side
of a mold, the method comprising:
arranging the electromagnetic coil so that it has 2n teeth on each wide side, wherein
n is a natural number greater than or equal to two;
providing the teeth with an inner winding around each tooth, and an outer winding
around every two teeth provided with the inner winding, the outer winding thereby
forming a single unit excitation coil comprising two teeth having inner and outer
windings,
disposing a core of the electromagnetic coil within a vertical region of a mold, the
vertical region extending from a meniscus of molten steel to a position of a outlet
port of an immersion nozzle of the mold, wherein the core is a magnet that comprises
the teeth; and
inducing an electromagnetic force in the molten steel below the meniscus when electromagnetically
stirring the molten steel in the mold, the electromagnetic force being at least twice
the electromagnetic force induced at the position where the outlet port of the immersion
nozzle is placed.
2. A method of continuous steel casting according to claim 1, wherein a relationship
between a distance h from an upper end of the core to an upper end of the mold, and
wherein the electromagnetic force is induced by applying a 3-phase alternating current
having a frequency f, wherein the 3-phase alternative current is applied to the electromagnetic
coil such that when in-mold stirring of the molten steel is performed , h ≤ 102f -
185 when 1.8 ≤ f ≤ 3.0 and h ≤ 18f + 68 when 3.0 ≤ f ≤ 5.0.
3. A method of continuous steel casting according to claim 1 or claim 2, wherein the
core comprises at least 12 coils, wherein coils 1-3 form a first single unit excitation
coil, coils 4-6 form a second single unit excitation coil, coils 7-9 form a third
single unit excitation coil, and coils 10-12 form a fourth single unit excitation
coil, each single unit excitation coil comprising two teeth, each tooth having an
inner winding, and an outer winding wrapped around the two teeth,
wherein the first and second single unit excitation coils are disposed on one side
of the wide side of the mold and the third and fourth single unit excitation coils
are disposed on the opposite side of the wide side of the mold such that the first
and second excitation coils face the third and force excitation coils,
wherein the electromagnetic force is induced by applying a 3-phase alternating current
having phases A, B, and C, each phase having a positive and negative direction, wherein
A, B, and C have a phase difference of 120 degrees,
wherein the 3-phase alternating current is applied to the coils such that phases A,
B, and C are applied to the inner windings of the coils in a first order or a second
order,
wherein, in the first order, coil 1 has a phase of -C, coil 2 has a phase of +B, coil
3 has a phase of +A, coil 4 has a phase of +C, coil 5 has a phase of -B, coil 6 has
a phase of -A, coil 7 has a phase of -C, coil 8 has a phase of +A, coil 9 has a phase
of +B, coil 10 has a phase of +C, coil 11 has a phase of -A, and coil 12 has a phase
of -B,
and wherein, in the second order, coil 1 has a phase of -C, coil 2 has a phase of
+B, coil 3 has a phase of +A, coil 4 has a phase of -B, coil 5 has a phase of +A,
coil 6 has a phase of +C, coil 7 has a phase of +B, coil 8 has a phase of -C, coil
9 has a phase of -A, coil 10 has a phase of +C, coil 11 has a phase of -A, and coil
12 has a phase of -B.
4. An in-mold molten steel flow controller for continuous steel casting in which electromagnetic
braking or electromagnetic stirring is selectively caused to act on the molten steel
in a mold by applying direct current or 3-phase alternating current to an electromagnetic
coil disposed on the wide side of a mold, the controller comprising:
an electromagnetic coil having 2n teeth, wherein n is a natural number greater than
or equal to 2 and n teeth are arranged on each of wide side of a mold, wherein each
tooth is provided with an inner winding, and wherein an outer winding is disposed
around every two teeth, the outer winding thereby forming a single unit excitation
coil comprising two teeth having the inner and outer windings;
a direct current source;
a 3-phase alternating current source;
a mold; and
a core of the electromagnetic coil, the core being a magnet, wherein the core is disposed
within a vertical region of the mold, the vertical region extending from a meniscus
of molten steel disposed in the mold to a position of a outlet port of an immersion
nozzle of the mold,
wherein each tooth has a width W and the mold has a width L, wherein the number of
the electromagnetic coils n disposed on each wide side, each of which unifies two
teeth, satisfies (L - 80) / (3W + 400) ≤ n ≤ (L +200) / (3W + 200).