Calculation of Key Parameters of Installation of Microwave Dielectric Heating
Calculation of Key Parameters of Installation of Microwave Dielectric Heating
Calculation of Key Parameters of Installation of Microwave Dielectric Heating
I. INTRODUCTION
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160 9th INTERNATIONAL WORKSHOP AND TUTORIALS EDM’2008, SESSION III, JULY 1-5, ERLAGOL
• Distribution of maximum of electric component of received splitter is a basic element, sequence of such
microwave electromagnetic field in a compression splitters form the main part of installation; therefore,
mould, defining uniformity of heating; further we will consider only it.
For the given parameters will be used further the Communication apertures represent as rectangular
simplified mathematical models or the approached waveguides (taking into consideration a thickness of
analytical calculations. walls of the main waveguide) small length, therefore
key parameters of the given waveguides can be easily
III. THEORY calculated by corresponding formulas [3]. Key
parameters, along with some other, are: critical length
1. Arrangement and the size of communication of a wave (λк) (2) in a waveguide and characteristic
apertures resistance (Z):
Zc
For power transfer of microwave electromagnetic Z= (3)
2
field from a waveguide to compression mould ⎛λ ⎞
volumes, from constructive reasons, communication 1 − ⎜⎜ 0 ⎟⎟
apertures has the rectangular form, the waves located ⎝ λк ⎠
in H-plane electromagnetic field are used. Where:
Communication apertures are placed opposite to Zс - resistance of flat electromagnetic waves in
magnitude maximum of electric component of vacuum;
electromagnetic field. λ0 - length of electromagnetic waves in vacuum;
The distance between maximum is defined through λк - critical length of electromagnetic waves in a
wavelength in a rectangular waveguide (Λ), calculated rectangular waveguide.
by the formula [2]: Formulas are valid at µ = ε =1.
λ0
Λ= (1) 2. Factor of power transfer from the main
2
⎛λ ⎞ waveguide to compression mould volumes
1 − ⎜⎜ 0 ⎟⎟
⎝ λк ⎠
Factor of power transfer for a splitter analytically,
2 as a rule, do not calculating, often they are defined by
λк = (2)
2 2 experimental. Therefore, the matrix of S-parameters
⎛ m⎞ ⎛ n⎞
⎜ ⎟ +⎜ ⎟ characterizing both factors of reflexion from
⎝ a ⎠ ⎝b⎠ shoulders, and transfer factors on the normalized
Where: voltage, has been calculated with use of computer
λ0 - length of electromagnetic waves in vacuum; modeling. At presence of matrix S-parameters of
λк - critical length of electromagnetic waves in a device, it is possible to consider, that it is completely
rectangular waveguide; described [2].
m – quantity of half wavelength on width; The S-parameters matrix of a splitter, at length of
n - quantity of half wavelength on height; communication waveguides (l) equal 1 mm, has the
a - width of a waveguide; following values:
b - waveguide height. 0.01 0 0.959 0
Formulas (1), (2) are valid at µ = ε =1.
0.208 0 0.208 0
S= (4)
0.959 0 0.01 0
0.208 0 0.208 0
According to a matrix - shoulders 1 and 3 are used
for supply electromagnetic energy, 2 and 4 for energy
absorbing.
At a known matrix of dispersion, it is possible to
Fig. 2. Geometrical model of a splitter. calculate the power absorbed in shoulders with the
account of reflexion factor from loadings (Гi),
Communication apertures and a part of the main depending on brought power, through the decision of
waveguide form a wave splitter in an H-plane, the Fig. system of the equations (5) [3]:
2 see (Numbers designate splitter shoulders). The
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TILZO and LEONOV: CALCULATION OF KEY PARAMETERS OF INSTALLATION OF MICROWAVE DIELECTRIC HEATING 161
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162 9th INTERNATIONAL WORKSHOP AND TUTORIALS EDM’2008, SESSION III, JULY 1-5, ERLAGOL
Considering length of a waveguide, we receive [5] Silaev M. A «Application of matrices and diagrams to
analysis of SVH devices». М: Soviet Radio, 1970 – p. 248.
quantity of wavelengths in a waveguide: (in Russian).
l 0.095
= = 1.49
Λ 0.0637 Vadim V. Tilzo has finished the Biysk
Technological Institute in 2006 on
Hence, the quantity of maximum of electric specialty «Information science and
component of electromagnetic field is equal 3 that it is measuring engineering». Now he is the
possible to observe and by results of computer post-graduate student of the second year
modeling, see Fig. 4. training.
Student Member of IEEE from 2006.
After carrying out of modeling of heating process,
non-uniformity of heating on object ~30 0С has been
received. Genadiy V. Leonov (Doctor of
Technical Science, Professor).
He was born on January 29, 1948.
Graduate Leningrad Technological
Institute in 1973. He has defended a
thesis Ph.D in 1976. He has defended a
thesis for a Doctor's degree in1998.
Place of employment: Department of
Methods and Means of Measuring and
Automation, in Biysk Technological
Institute.
Appointment: Rector of Biysk
Technological Institute.
V. CONCLUSION
In work the basic moments, concerning calculation
of key parameters of installation of microwave
dielectric heating, namely parameters only one wave
splitter and loadings have been considered. Calculation
of consecutive connection of such wave splitters will
allow defining matrix S - parameters of the unit as a
whole [4, 5].
REFERENCES
[1] Katz M. V «An Optimal synthesis of SVH devices on T-
waves». М: Radio and Connection, 1984 – p. 288. (in
Russian).
[2] Arhangelskij J.S. «The Plant of dialectic heating. SVH
devices». M: 2004 – p. 279. (in Russian).
[3] Chernushenko A.M. «The designing of screen and SVH
devices». М: Radio and Connection, 1990 – p.352. (in
Russian).
[4] Feldshtejn L.F. «Synthesis of four-lane and eight-lane on
SVH». М: Connection, 1971 – p. 385. / (in Russian).
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