Technical Note 2 R Vref I = ) 2( 1 Rb RI RbI Vref VA + × = × + = ) 2 2

Technical Note
1.Constant Current Source
For Fujikura pressure sensor, a constant current source as shown in Fig. 1 is
recommended. A reference voltage (Vref), which is generated by zener diode or voltage
reference device, is applied to the non-inverting terminal of the operational amplifier
(A1). The inverting terminal voltage of A1 is equal to the Vref, then the constant
current(I) is :
I=
Vref
R2
….. [1]
The output voltage of A1(VA1) is :
VA1 = Vref + I × Rb = I × ( R 2 + Rb)
….. [2]
where Rb : Bridge resistance
The supply voltage (Vcc) should be sufficiently higher than VA1. In a condition of no
pressure (no mechanical stress) to the sensing chip, each output voltage of the bridge
terminal(V1), (V2) is calculated by :
V 1 = V 2 = Vref + I ×
Rb
Rb
= I × ( R2 +
)
2
2
….. [3]
Fig.2 shows a basic circuit for the type FPM. LM385-1.2 is a voltage reference which
features 1.235V of Vref, and 150ppm/
of temperature drift. The voltage across the
resistor R2 is equal to Vref. (i.e.1.235V) The recommended constant current for the FPM
is 1.5mA. Therefore R2 is :
R2 =
1.235V
= 820Ω
1.5mA
The specified bridge resistance of the FPM is 4,000-6,000 Ω , thus the maximum output
voltage of A1(VA1) is :
VA1 max = 1.5 × (820 + 6000) = 10.23
In this case, 12V DC is chosen for the supply voltage(Vcc), and a 10k Ω resistor is
connected between the Vcc and the LM385-1.2 for 1mA operation.
R1 =
12V − 1.235V
= 10kΩ
1mA
- Technical note of Fujikura pressure sensor Fujikura Ltd. Sensor Department
1-5-1, Kiba, Koto-ku, Tokyo 135-8512, Japan
phone +81-3-5606-1072
E-mail : [email protected]
1
One part of the bridge connection of the FPM is opened. If offset calibration is required,
a zero balance trimmer should be connected like Fig. 2. Or, a closed bridge connection,
like Fig. 1, is also available, if zeroing should be done at the back end signal
conditioning circuit.
Vcc
12VDC
R1
Vref
ZD
10k
+
1.235V
I
A1
-
LM385
-1.2
VA1
+
I=1.5mA
A1
-
Zero balance trimmer
V1
V1
SENSOR
SENSOR
1.235V
Vref
V2
V2
R2
820
Fig.1 Constant current source
Fig. 2 Basic circuit for type FPM
2.Constant Voltage Source
Fig.3 shows an example of constant voltage source. Please note that temperature
characteristic by constant voltage source is much different from the one by constant
current source. For further information, please refer to the following 4-2.
12VDC
VR
5k
*** Example for FPM sensor ***
I
SENSOR
V'
Vcc:
Bridge resistance:
I:
R1:
V':
VR:
V1
V2
12VDC
4,000 ~ 6,000 ohm
1.5mA
100 ohm
150mV
1,900 ~ 2,500 ohm
or
Vcc:
VR:
Bridge resistance:
R1:
I:
7.5VDC
0 ohm
4,000 ~ 6,000 ohm
0 ohm
1.9 ~ 1.3mA
R1
Fig. 3 Basic circuit of constant voltage source
- Technical note of Fujikura pressure sensor Fujikura Ltd. Sensor Department
1-5-1, Kiba, Koto-ku, Tokyo 135-8512, Japan
phone +81-3-5606-1072
E-mail : [email protected]
2
3.Amplifier Circuit
A differential amplifier shown in Fig 4 is provided to treat low-level and differential
signal from a sensing element. The output voltage(Vout) is calculated by the following
formula :
Vout =
R5
× (V 1 − V 2) ….. [4]
R3
R5
SENSOR
V1
R3
+
Vout
A2
-
V2
R4
R3 = R4, R5 = R6
R6
Fig. 4 Simple differential amplifier
Since the input resistance of the amplifier is not very high, an instrumentation
amplifier shown in Fig.5 should be used for high precision measurement. Each output
voltage of VA1, VA2, and Vout is calculated by :
VA2 = V 1 +
R5
× (V 1 − V 2) …..[5]
VR1
VA3 = V 2 −
R5
× (V 1 − V 2)
VR1
Vout =
…..[6]
2 × R3
R7
R7
× (VA2 − VA3) =
× (1 +
) × (V 1 − V 2)
R5
R5
VR1
…..[7]
In case of positive level shift is required, add Vshift to non-inverting input terminal of
the amplifier A4. Then Vout is:
Vout =
R7
2 × R3
× (1 +
) × (V 1 − V 2) + Vshift
R5
VR1
…..[8]
- Technical note of Fujikura pressure sensor Fujikura Ltd. Sensor Department
1-5-1, Kiba, Koto-ku, Tokyo 135-8512, Japan
phone +81-3-5606-1072
E-mail : [email protected]
3
SENSOR
V1
Vcc
+
R5
A2
-
R7
Vshift
R3
+
A4
Vout
R4
V2
A3
+
R6
R8
R3 = R4, R5 = R6, R7 = R8
Fig. 5 Instrumentation amplifier
How to design circuit for FPM-07PG is by the following manner :
[FPM-07PG]
Pressure range(gauge) : -0.492 to +0.492 kg/cm2
Sensor output(I=1.5mA) : -80 to + 80 mV DC (example)
[Amplifier]
Supply voltage(Vcc) : 12V DC
Output voltage(Vout) : 1to9V DC
Gain =
1 ~ 9V
8V
=
= 50
− 80 ~ +80mV 160mV
R3=R4=R5=R6=R7=R8=10k
VR1=2k : adjust to approx. 400 ohm
Vref=1.235V (refer Fig.2)
VR2=10k : adjust to approx. 4.2k (Vshift=5V)
*All resistors should be 1/4W and 1% tolerance
*This circuit does not include temperature compensation resistor.
- Technical note of Fujikura pressure sensor Fujikura Ltd. Sensor Department
1-5-1, Kiba, Koto-ku, Tokyo 135-8512, Japan
phone +81-3-5606-1072
E-mail : [email protected]
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Output characteristic
Vout (V)
V1-V2 (mV)
9
+100
7
5
+/-0
3
1
-100
-0.492
+/-0
+0.492
Gauge pressure (kg/cm2)
4.Temperature Compensation
Piezoresistive pressure sensor has two temperature characteristics - Temperature
Sensitivity of Offset and Temperature Coefficient of Span output. For high precision
measurement, temperature compensation is recommended as below.
4-1 Temperature Sensitivity of Offset (TSO)
TSO is the temperature drift behavior of bridge output at free of pressure. It is caused
by :
-
Difference of thermal expansion coefficient of each components of the
sensor
-
…silicon chip, glass pedestal, bonding resin, and package.
Difference of thermal expansion coefficient of each material of the sensing
chip …silicon substrate, oxidation layer and aluminum pattern.
-
Variety of thermal coefficient of the four piezoresistors of the bridge.
-
Variety of resistance value of the four piezoresistors of the bridge.
In order to compensate TSO, a resistor such as metal film type, is connected in parallel
to the bridge. Fig.6 shows a connection diagram, and the resistance is determined in the
following manner,
- Technical note of Fujikura pressure sensor Fujikura Ltd. Sensor Department
1-5-1, Kiba, Koto-ku, Tokyo 135-8512, Japan
phone +81-3-5606-1072
E-mail : [email protected]
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CC
SENSOR
Rp1
Rp2
Vout
Rp1, Rp2: Low temperature drift resistor
(Metal film type or similar type is
recommended)
Fig. 6 Connection for TSO compensation
-
V(p,t) refers to the output voltage in pressure "p" and temp "t"
-
"p0" refers to a no pressure condition. i.e. V(p0) is the offset voltage.
-
"tc" refers to the lower temp. of the operating temp. range, and "th" the
higher.
(1) Measure the output voltage at the following 10 points :
Output
Rp1
Rp2
V1=V(p0,tc)
open
open
V2=V(p0,tc)
500k
open
V3=V(p0,tc)
1M
open
V4=V(p0,tc)
open
500k
V5=V(p0,tc)
open
1M
V6=V(p0,th)
open
open
V7=V(p0,th)
500k
open
V8=V(p0,th)
1M
open
V9=V(p0,th)
open
500k
V10=V(p0,th)
open
1M
(2) Calculate the temperature drift of the offset at each point.
TCV1=V6-V1
TCV2=V7-V2
TCV3=V8-V3
- Technical note of Fujikura pressure sensor Fujikura Ltd. Sensor Department
1-5-1, Kiba, Koto-ku, Tokyo 135-8512, Japan
phone +81-3-5606-1072
E-mail : [email protected]
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TCV4=V9-V4
TCV5=V10-V5
(3) Plot a temperature characteristic line as in Fig.7.
TCV+
Rp1=500k
Rp2=open
1M
open
open
open
open
1M
TCV5
TCV4
open
500k
TCV3
TCV2
TCV1
cross point
Fig. 7 Rp1, Rp2 vs. TCV
(4) The most suitable condition is the cross point of the line and X-axis. For example in
Fig.7, Rp1 must be open (i.e.Rp1 is not needed) and Rp2 must be approximately 750k or
so.
4-2 Temperature Coefficient of Span outpuut (TCS)
TCS is the correlation between operating temperature and bridge output voltage. It is
caused by the issues as below,
(a) Impurity concentration of piezoresistors
(b) Crystal direction of piezoresistors
(c) Resistance value of external load resistor
The following describes the detail of the items (a), (c).
4-2-1 Impurity concentration of piezoresistors
TCS characteristic mainly depends on the impurity concentration of piezoresistors.
Driven by a constant current source, the correlation is shown in Fig.8. There are two
points of impurity concentration that can optimize the TCS.
- Technical note of Fujikura pressure sensor Fujikura Ltd. Sensor Department
1-5-1, Kiba, Koto-ku, Tokyo 135-8512, Japan
phone +81-3-5606-1072
E-mail : [email protected]
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-3
TSC x 10
(/degC)
1.0
0.5
0
-0.5
-1.0
-1.5
-2.0
18
10
19
10
20
10
21
10
atom/
cm3
Fig. 8 Relation between temperature coefficient of the
pressure sensitivity and impurity surface concentration
Fig.9 shows a temperature drift of pressure sensitivity at 2 × 10 atoms / cm
20
3
of
impurity concentration. It shows that constant current source can make the
temperature drift better than constant voltage source. An external load resistor is
useful if further compensation is required. (Please refer to 4-2-2.)
In case of constant
voltage source, the temperature drift shows linear characteristic, therefore, a software
compensation by micro-processor is useful.
- Technical note of Fujikura pressure sensor Fujikura Ltd. Sensor Department
1-5-1, Kiba, Koto-ku, Tokyo 135-8512, Japan
phone +81-3-5606-1072
E-mail : [email protected]
8
Constant current
(CC)
%
Constant voltage
(CV)
%
4
0.4
CV
CC
2
0.2
0
0
-2
-0.2
-4
-0.4
-10
0
10
20
30
40
50
Fig. 9 Temperature drift of pressure sensitivity
for voltage and current drive
4-2-2 Compensation by an external load resistor
A circuit with external load resistor is shown in Fig.10(a). When an external signal
conditioning circuit, such as an amplifier or micro-processor, is connected to the sensor's
output terminals, the input impedance of the device is considered as the load resistor
RL.
CC
SENSOR
Rb
RL
SV'
RL
SV'
SV
Fig. 10(a) Circuit with load resistor RL
Fig. 10(b) Equivalent circuit
Showing an example of correlation between TCS and RL, Fig. 11 indicates that there is
the best RL value to minimize the TCS property. However, please note that the
availability of the compensation is limited by a condition that “bare” TCS property is
- Technical note of Fujikura pressure sensor Fujikura Ltd. Sensor Department
1-5-1, Kiba, Koto-ku, Tokyo 135-8512, Japan
phone +81-3-5606-1072
E-mail : [email protected]
9
originally positive to the temperature.
TCS (%FS)
0.6
RL=open
0.4
RL=50k
0.2
0
RL=20k
-0.2
-0.4
RL=10k
-0.6
-10
0
10
20
30
40
50
Fig. 11 Example of the relation between RL and TCS
Fig.10(b) shows the equivalent circuit of Fig.10(a), and the RL value is calculated by the
following formula :
RL =
where
SVc × Rbh − SVh × Rbc
SVh − SVc
…..[9]
SVc : Span output voltage at lower temp. of operating temp. range.
SVh : Span output voltage at higher temp. of operating temp. range.
Rbc : Bridge resistance at lower temp. of operating temp.
Rbh : Bridge resistance at higher temp. of operating temp.
Please note that the RL reduces sensor span output voltage as the following formula :
SV ' =
RL
× SV
Rb + RL
…..[10]
- Technical note of Fujikura pressure sensor Fujikura Ltd. Sensor Department
1-5-1, Kiba, Koto-ku, Tokyo 135-8512, Japan
phone +81-3-5606-1072
E-mail : [email protected]
10
* ****APPENDX 1*****
[Analog output]
12VDC
10k
Vref
LM385
-1.2
1.235V
+
I=1.5mA
A1
2
-
3
V1
12VDC
+
10k
A2
6
SENSOR
FPM-**PG(R)
10k
Vshift
10k
-
200
10k
1
+
2k
5
A4
Output
1 ~ 5V
-
820
10k
V2
A3
10k
10k
+
[For pressure switch]
NPN open collector
Output
input 1 - 5V
+
A5
10k
-
12VDC
10k
[For current output]
12VDC
input 1 ~ 5V
+
A5
-
250
10k
Iout = input/250 = 4 ~ 20mA
RLmax = 200
- Technical note of Fujikura pressure sensor Fujikura Ltd. Sensor Department
1-5-1, Kiba, Koto-ku, Tokyo 135-8512, Japan
phone +81-3-5606-1072
E-mail : [email protected]
11
*****APPENDIX 2*****
[Barometric pressure monitor]
12VDC
10k
Vref
LM385
-1.2
1.235V
+
I=1.5mA
A1
-
5
6
1
V1
SENSOR
FPM-15PA(R)
12VDC
+
10k
A2
4
-
10k
Vshift
10k
10k
+
2k
2
A4
Output
4 ~ 8V
-
820
10k
-
10k
10k
A3
V2
+
Vout (V)
8
7
6
5
4
-680
0
+680
1,033g/cm2.abs
- Technical note of Fujikura pressure sensor Fujikura Ltd. Sensor Department
1-5-1, Kiba, Koto-ku, Tokyo 135-8512, Japan
phone +81-3-5606-1072
E-mail : [email protected]
12
*****APPENDIX 3*****
[Vacuum monitor]
6
5
4
1
2
3
Pressure Sensor
XFPM-100KPGV
Q3
Q2
Q1
PIC16C711-04/P
RA2
4.7k
5V
RA1
RA3
RA0
RA4
OSC1
MCLR
OSC2
Vss
Vdd
RB0
RB7
RB1
RB6
RB2
RB5
RB3
RB4
15pF
680pF
0.01uF
XT
4MHz
15pF
5V
0.1uF
5V
4.7uF
300
a b c d
e f
g
-99~0kPa.gauge
LED1~LED3
7 segment display
Common cathode
Q1~Q3
Small signal
NPN transistor
4.7k
RA1
4.7k
RA2
4.7k
RA3
- Technical note of Fujikura pressure sensor Fujikura Ltd. Sensor Department
1-5-1, Kiba, Koto-ku, Tokyo 135-8512, Japan
phone +81-3-5606-1072
E-mail : [email protected]
13
*****APPENDIX 4*****
[Barometric pressure monitor]
5V
PIC16F84-10/P
5V
22pF
RA2
0.1uF
RA1
RA3
RA0
RA4
OSC1
MCLR
OSC2
4.7k
XT
4MHz
MAX-187
4.7uF
Vss
Vdd
RB0
RB7
5V
22pF
Vdd
SCLK
Vin
CS
RB7
RB1
RB6
SHDN
Dout
RB2
RB5
REF
GND
RB3
RB4
CS
0.1uF
4.7uF
4.7uF
30
0
5V
a
680pF
Pressure Sensor
XFPM-115KPA
150 ~ 1150hPa
:
0.2 ~ 4.7V
b
c
d
e
f
g
0.01uF
6
5
4
LED1~LED4
7 segment Display
Common cathode
1
2
3
hPa
Q1~Q3
Small signal
NPN transistor
4.7k
RA0
4.7k
RA1
4.7k
RA2
4.7k
RA3
1st October , 2011
- Technical note of Fujikura pressure sensor Fujikura Ltd. Sensor Department
1-5-1, Kiba, Koto-ku, Tokyo 135-8512, Japan
phone +81-3-5606-1072
E-mail : [email protected]
14