Использование пропорционально-интегрального регулирования в синтезаторах частот с фазовой автоподстройкой - page 6

ɂɫɩɨɥɶɡɭɹ ɮɨɪɦɭɥɵ
"2#& "3#
ɢ ɨɩɭɫɤɚɹ ɩɪɨɦɟɠɭɬɨɱɧɵɟ ɜɵɤɥɚɞɤɢ
&
ɩɨɥɭɱɢɦ
I
ɂɁɇ
I
ɉɁɇ
=
2
R
M
M
(
M
a
R
M
)
(
R
M
a
1)
2
(
M
+ 1)
2
,
(10)
I
ɉɁɇ ɭ
I
ɉɁɇ
=
R
M
M
(
R
M
a
1)(
M
+ 1)
.
(11)
Ɍɚɤɢɦ ɨɛɪɚɡɨɦ
&
ɡɚɞɚɜɚɹ ɩɚɪɚɦɟɬɪɵ
M
ɢ
R
M
ɢ
&
ɧɚɩɪɢɦɟɪ
&
ɱɚɫɬɨɬɭ
ɛ
,
&
ɦɨɠɧɨ ɨɩɪɟɞɟɥɢɬɶ ɜɫɟ ɩɚɪɚɦɟɬɪɵ ɫɢɫɬɟɦɵ ɂɎȺɉɑ
4
T
1
&
T
11
&
T
2
&
K
j+
&
K
j,
&
I
ɂɁɇ
/I
ɉɁɇ
5
I
ɉɁɇ ɭ
/I
ɉɁɇ
(
ɂɫɩɨɥɶɡɭɹ ɮɨɪɦɭɥɵ
"+*#
ɢ
"++#&
ɦɨɠɧɨ ɪɚɫɫɱɢɬɚɬɶ ɩɚɪɚɦɟɬɪɵ
M
ɢ
R
M
ɩɨ ɡɚɞɚɧɧɵɦ ɫɨɨɬɧɨɲɟɧɢɹɦ
I
ɂɁɇ
/I
ɉɁɇ
ɢ
I
ɉɁɇ ɭ
/I
ɉɁɇ
(
Ɉɩɭɫɤɚɹ ɩɪɨ
'
ɦɟɠɭɬɨɱɧɵɟ ɜɵɤɥɚɞɤɢ
&
ɩɨɤɚɠɟɦ
&
ɱɬɨ ɩɚɪɚɦɟɬɪ
R
M
ɦɨɠɧɨ ɨɩɪɟɞɟɥɢɬɶ
ɢɡ ɭɪɚɜɧɟɧɢɹ
R
2
M
a
R
M
y
y
+ 2
x
(1
a
x
)
+
2
x
2
y
+ 2
x
(1
a
x
)
= 0
,
(12)
ɝɞɟ
y
=
I
ɂɁɇ
/I
ɉɁɇ
&
x
=
I
ɉɁɇ ɭ
/I
ɉɁɇ
(
Ɂɧɚɱɟɧɢɟ ɩɨɤɚɡɚɬɟɥɹ ɤɨɥɟɛɚɬɟɥɶɧɨɫɬɢ
M
ɦɨɠɧɨ ɧɚɣɬɢ ɢɡ ɭɪɚɜɧɟɧɢɹ
M
=
R
M
a
y
y
+ 2(1
a
x
)
.
(13)
ɂɡ ɭɪɚɜɧɟɧɢɹ
"+,#
ɦɨɠɧɨ ɨɩɪɟɞɟɥɢɬɶ ɨɝɪɚɧɢɱɟɧɢɟ ɞɥɹ
y
ɢ
x
4
y <
2
x
(
x
a
1)
, x >
1
.
ɉɪɢɜɟɞɟɦ ɩɪɢɦɟɪ ɪɚɫɱɟɬɚ ɩɚɪɚɦɟɬɪɨɜ
M
ɢ
R
M
ɩɪɢ ɡɚɞɚɧɧɵɯ
x
ɢ
y
ɞɥɹ ɱɢɩɚ ɂɎȺɉɑ
M;2*,0(
ȼ ɷɬɨɦ ɫɥɭɱɚɟ ɜɨɡɦɨɠɧɵ ɞɜɚ ɜɚɪɢɚɧɬɚ
4
x
= 5
&
y
= 12
5
x
= 5
&
y
= 0
(
Ⱦɥɹ ɩɟɪɜɨɝɨ ɜɚɪɢɚɧɬɚ ɩɨɥɭɱɢɦ
M
= 1
,
567
&
R
M
= 1
,
139
&
ɚ ɞɥɹ ɜɬɨ
'
ɪɨɝɨ
‡
M
=
R
M
= 1
,
118
(
Ɋɚɫɫɦɨɬɪɢɦ ɬɚɤɠɟ ɩɪɢɦɟɪ ɢɫɩɨɥɶɡɨɜɚɧɢɹ ɪɚɡɪɚɛɨɬɚɧɧɨɣ ɦɟɬɨɞɢ
'
ɤɢ ɫɢɧɬɟɡɚ ɩɚɪɚɦɟɬɪɨɜ ɫɢɫɬɟɦɵ ɂɎȺɉɑ
&
ɢɦɟɸɳɟɣ ɫɥɟɞɭɸɳɢɟ ɯɚɪɚɤ
'
ɬɟɪɢɫɬɢɤɢ
4
ɧɚɱɚɥɶɧɚɹ ɱɚɫɬɨɬɚ ɞɢɚɩɚɡɨɧɚ Ƚɍɇ
‡
f
Ƚɍɇ ɧ
= 1760
ɆȽɰ
5
ɤɨɧɟɱɧɚɹ ɱɚɫɬɨɬɚ ɞɢɚɩɚɡɨɧɚ Ƚɍɇ
‡
f
Ƚɍɇ ɤ
= 1790
ɆȽɰ
5
ɤɪɭɬɢɡɧɚ ɯɚ
'
ɪɚɤɬɟɪɢɫɬɢɤɢ ɭɩɪɚɜɥɟɧɢɹ
‡
S
Ƚɍɇ
= 2
{
·
15
ɆȽɰ
)
ȼ
5
ɩɟɪɢɨɞ ɨɩɨɪɧɨɝɨ
ɫɢɝɧɚɥɚ
t
0
= 12
,
5
·
10
a
6
5
ɫɢɥɚ ɬɨɤɚ
I
ɉɁɇ
= 492
ɦɤȺ
&
I
ɂɁɇ
/I
ɉɁɇ
= 12
&
I
ɉɁɇ ɭ
/I
ɉɁɇ
= 5
5
ɫɤɚɱɨɤ ɱɚɫɬɨɬɵ Ƚɍɇ ɩɪɢ ɤɨɦɦɭɬɚɰɢɢ ɡɚɪɹɞɨɜɵɯ ɧɚɤɚ
'
ɱɟɤ
/***
Ƚɰ
5
ɱɚɫɬɨɬɚ ɫɪɟɡɚ ɪɚɡɨɦɤɧɭɬɨɣ ɫɢɫɬɟɦɵ ɂɎȺɉɑ ɩɨɫɥɟ ɪɟɠɢɦɚ
ɭɫɤɨɪɟɧɢɹ
]
= 2
{
·
572
ɪɚɞ
)
ɫ
(
ɑɚɫɬɨɬɚ ɫɪɟɡɚ
]
ɫɜɹɡɚɧɚ ɫ ɱɚɫɬɨɬɨɣ
ɛ
,
ɫɨɨɬɧɨɲɟɧɢɟɦ
ɫ
=
ɛ
,
T
1
(
12 CMMH *,-0'-3--(
ȼɟɫɬɧɢɤ ɆȽɌɍ ɢɦ
(
ɇ
(
ɗ
(
Ȼɚɭɦɚɧɚ
(
ɋɟɪ
(
ɉɪɢɛɨɪɨɫɬɪɨɟɧɢɟ
( ,**/(
ʋ
+
1,2,3,4,5 7,8,9,10
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