Systems and methods of electromagnetic influence on electroconducting continuum
Thus, as shown by an exact electrodynamic computation of EMBF and the estimations described above of the velocity of turbulent flows arising due to their effect, application of amplitude- and frequency-modulated helically traveling (rotating and axially traveling) electromagnetic fields in metallurgical and chemical technologies and foundry can considerably increase the hydraulic efficiency of MHD facilities, intensify the processes of heat and mass transfer in technological plants, significantly increase their productivity, considerably decrease energy consumption for the production of metals, alloys, cast articles, and chemical products, and improve their quality.
1 - 23 . (canceled)
24 . A method of forcing influence upon electroconducting media using helically traveling magnetic fields excited by m-phase systems of helical currents, in which the currents are co-phasally hierarchically frequency- and amplitude-modulated or modulated by amplitude and initial phase by temporally periodic functions that are either continuous or having a finite number of discontinuities of the first kind, smooth or non-smooth in certain points, so that the current in the first phase is described by the expression:
J 1 =A 1 ( t )· F [Ω 1 ( t ) t+γ 0 ], (23)
in the second phase—
J
2
=
A
2
(
t
)
·
F
[
Ω
2
(
t
)
(
t
-
2
π
m
)
+
γ
0
]
,
etc
.
(
24
)
in the n-th phase—
J
n
=
A
n
(
t
)
·
F
[
Ω
n
(
t
)
(
t
-
2
π
m
)
+
γ
0
]
,
where
A
1
(
t
)
=
A
10
{
1
+
ɛ
2
[
1
+
ɛ
4
×
…
×
(
1
+
ɛ
2
n
)
]
·
f
2
[
ω
2
(
1
=
ɛ
3
f
3
(
ω
3
t
+
γ
3
)
)
t
+
γ
2
]
}
,
A
2
(
t
)
=
A
10
{
1
+
ɛ
2
[
1
+
ɛ
3
×
…
×
(
1
+
ɛ
2
n
)
]
×
f
2
[
ω
2
(
1
+
ɛ
3
f
3
(
ω
3
(
t
-
2
π
m
)
+
γ
3
)
)
t
-
γ
2
]
}
,
…
A
n
(
t
)
=
A
10
{
1
+
ɛ
2
[
+
ɛ
4
×
…
×
(
1
+
ɛ
2
n
)
]
×
f
2
[
ω
2
(
1
+
ɛ
3
f
3
(
ω
3
(
t
-
2
π
(
n
-
1
)
m
)
+
γ
3
)
)
t
+
γ
2
n
]
}
,
ɛ
2
n
=
ɛ
2
n
0
{
1
+
ɛ
2
n
+
2
×
f
2
n
+
2
[
ω
2
n
+
2
(
1
+
ɛ
2
n
+
1
×
f
2
n
+
1
(
ω
2
n
+
1
(
t
-
2
π
(
n
-
1
)
m
)
+
γ
2
n
+
1
)
)
t
+
λ
2
n
+
2
]
}
,
(
25
)
A 10 lo is the amplitude of a non-modulated current,
n is the phase number,
p is the number of pole pairs of the inductor,
ε 2n0 is the relative depth of various levels of amplitude modulation,
ε 2n+1 is the relative deviation of various levels of frequency modulation,
ω 2n is the frequency of various hierarchic levels of amplitude modulation,
ω 2n+1 is the frequency of various hierarchic levels of frequency modulation,
Ω
n
(
t
)
=
Ω
0
[
1
+
ɛ
1
f
1
(
ω
1
(
t
-
2
π
(
n
-
1
)
m
)
)
+
γ
1
]
,
Ω 0 is the carrying frequency of either modulated or non-modulated currents,
F, f 2n , f 2n+1 are periodic functions of time,
γ 2n , γ 2n+1 are initial phases.
25 . A method of forcing influence upon electroconducting media using helically traveling magnetic fields excited by m-phase systems of helical currents, in which the currents are synchronously hierarchically frequency- and amplitude-modulated or modulated by amplitude and initial phase by temporally periodic functions that are either continuous or having a finite number of discontinuities of the first order, so that the currents in the n-th phase are described by the expression of claim 24 , where:
A n ( t )= A 10 {1+ε 2 [1+ε 4 X . . . X (1+ε 2n )]· f 2 [ω 2 (1+ε 3 f 3 (ω 3 t+γ 3 )) t+γ 2 ]} (26)
and
ε 2n =ε 2n0 {1+ε 2n+2 ·f 2n+2 [ω 2n+2 (1+ε 2n+1 f 2n+1 (ω 2n+1 t+γ 2 )) t+γ 2n+2 ]} (27).
26 . The method according to claim 24 or 25 , wherein the carrying frequency of the system of currents is constant, i.e. Ω(t)=Ω 0 =const.
27 . The method according to claim 24 , 25 , or 26 , wherein only a rotating magnetic field modulated by said methods is applied.
28 . The method according to claim 24 , 25 , or 26 , wherein only an axially traveling magnetic field modulated by said methods is applied.
29 . The method according to claim 24 , 25 , 26 , 27 , or 28 , wherein the conducting medium is affected by two or more identical or different magnetic fields modulated by said methods, propagating in the same or in different directions.
30 . The method according to claim 24 , 25 , 26 , 27 , 28 , or 29 , wherein, using a system of km electrodes (where k is the number of electrodes per phase), an additional m-phase current density field modulated by said method is introduced into the conducting medium.
31 . (canceled)