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AND8054 Arkusz danych(PDF) 6 Page - ON Semiconductor

Numer części AND8054
Szczegółowy opis  Designing RC Oscillator Circuits with Low Voltage Operational Amplifiers and Comparators for Precision Sensor Applications
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Producent  ONSEMI [ON Semiconductor]
Strona internetowa  http://www.onsemi.com
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AND8054 Arkusz danych(HTML) 6 Page - ON Semiconductor

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AND8054/D
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6
Ratio State Variable Oscillator
The ratio state variable oscillator [6] is used for dual
capacitive sensors when the oscillation frequency is
proportional to the ratio of sensor capacitances C3 and C4 (i.e.
freq.
α C3 / C4). The block diagram and schematic of the ratio
circuit are shown in Figures 7 and 8. This circuit consists of
two integrators and a differentiator circuit. The integrators
formed by amplifier A1 and A2 are identical to the integrators
used in the absolute circuit. Amplifier A3, resistors R3, R4 and
R5, and the sensor capacitors C3 and C4 form the
differentiator stage which provides a 180
_ phase shift. The
values of resistors R3, R4 and R5 are selected to set the break
frequencies of the differentiator stage, so that the gain of the
stage is equal to –C3/C4. Resistor R5 provides a DC current
path through capacitor C3 in order to initiate oscillation at
power–up. Because R5 is relatively large (MΩ), it can be
replaced with a three resistor “Tee” network in order to use
readily available resistors, as shown in Figure 9.
Limit Circuit
Integrator
Differentiator
Integrator
Figure 7. Ratio Oscillator Block Diagram
V1
V2
V3
6 θ = 90°
6 θ = 90°
Limit Circuit
Figure 8. Ratio Oscillator Schematic
The differentiator amplifier is formed by the dual sensor capacitances C3 and C4.
C1
C2
C4
R2
R3
R4
A3
A2
A1
R1
V1
V2
V3
R5
C3
C1
C2
C4
R2
R3
R4
A3
A2
A1
R1
V1
V2
V3
R5a
R5b
C3
R5c
R5a
R5b
R5c
Figure 9. Ratio Oscillator Schematic with R5 Tee Network
A Tee network provides a method to replace a large resistor (i.e. M
Ω) with three small resistors (i.e. kΩ).
R5_equivalent + R5a ) R5b )
R5aR5b
R5c
+
+
+
+
+
+
6 θ = 180°
R5_equivalent


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