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AD2S93 bảng dữ liệu(PDF) 10 Page - Analog Devices

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AD2S93 bảng dữ liệu(HTML) 10 Page - Analog Devices

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–10–
REV. A
AD2S93
The AD2S93’s design has been optimized with a critically
damped response. The closed-loop transfer function is given
by:
θ
OUT
θ
IN
=
1
+ st
1
1
+ st
1 +
s2
K1K2
+
s3t2
K1K2
θ
OUT
θ
IN
=
K1K2
s
2
(1
+ st
1 )
1
+ st
2
The normalized gain and phase diagrams are given in Figures 10
and 11 with a bandwidth of 1.25 kHz.
5
–45
10k
–30
–40
10
–35
1
–15
–25
–20
–10
–5
0
1k
100
FREQUENCY – Hz
Figure 10. AD2S93 Gain Plot
–180
–140
–160
–120
–100
–60
–40
FREQUENCY – Hz
0
10k
10
1
–80
–20
1k
100
Figure 11. AD2S93 Phase Plot
CIRCUIT DYNAMICS/ERROR SOURCES
TRANSFER FUNCTION
The AD2S93 operates as a Type 2 tracking servo loop. An inte-
grator and VCO/counter perform the two integrations inherent
in a Type 2 loop.
The overall system response of the AD2S93 is that of a unity
gain second order low-pass filter, with the position of the LVDT
as the input and the digital position data as the output. Figure 9
illustrates the AD2S93 system diagram.
G1 (s)
G2 (s)
VEL OUT
OUT
IN
+
Figure 9. AD2S93 Transfer Function
Note: The AD2S93 has been configured with the following dy-
namics.
Reference Frequency
10 kHz
3 dB Bandwidth
1250 Hz
VCO Gain is set in MODE 1 where VCOGAIN is connected to
VEL.
Using the procedure described in “SETTING THE CON-
VERTER BANDWIDTH,” the following preferred values (E12
series) were calculated:
C1 = 820 pF
C2 = 6.8 nF
R2 = 56 k
C3 = C4 = 470 pF, R7 = 15 k
Ω, R5 = R6 = 33 kΩ, C4 =
470 pF
The open-loop transfer function is given by:
G1(s)
=
K
1
s
1
+ st
1
1
+ st
2
G2(s)
=
K
2
s
where:
t
2 = R2
C
1 × C2
C
1 + C2


t1 = R2 C2
and:
K
1 =
4
×10−3
25
×103
= 160 × 10−9 ×
1
C
1 + C2
= 21
K
2 =
4
R
V × CV
Note A2 has two values depending on which mode is being used
K2 (MODE1) = 640 × 10
3
K2 (MODE2) = 160 × 10
3
The AD2S93 acceleration constant is given by:
Ka = K1 × K2
Therefore in the example given,
Ka = K1 × K2 = 21 × 640 × 10
3 = 13.44
× 106 s–2


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