# Intelligent Detector of Internal Combustion Engine Cylinder Pressure and Sensitivity Temperature Coefficient Compensation

Authors: Beirong Zheng; Chen Zhou; Xiaomin Pan; Quan Wang; Wei Xue
Journal: Advances in Materials Science and Engineering
 (2013)

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## Abstract

The detecting device based on mechanical mechanism is far from the measurement of internal combustion engine cylinder explosion and compression pressure. This pressure detection is under the environment of pulsed gas (over 500 times per one minute) and mechanical impactive vibration. Piezoresistive detection with silicon on insulator (SOI) strain gauges to pressure seems to be a good solution to meet such special applications. In this work, separation by implanted oxygen (SIMOX) wafer was used to fabricate the high temperature pressure sensor chip. For high accuracy and wide temperature range application, this paper also presents a novel pressure sensitivity temperature coefficient (TCS) compensation method, using integrated constant current network. A quantitative compensation formula is introduced in mathematics. During experiments, the absolute value of the compensated TCS is easy to be 10 × 10−6/°C~100 × 10−6/°C by individual adjustment and calibration of each device’s temperature compensation. Therefore, the feasibility and practicability of this technology are tested. Again, the disadvantages are discussed after the research of the experiment data and the improvement methods are also given in the designing period. This technology exhibits the great potential practical value of internal combustion engine cylinder pressure with volume manufacturing.


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## Body

## 1. Introduction

Explosion pressure and compression pressure of internal-combustion engine cylinder are two significant technical parameters which affect its work [1, 2]. Grasping its regularity of pressure is a main basis for designing and evaluating working performance of the internal-combustion engine. Currently, tools used to detect this pressure mainly are detection devices such as old mechanical watches. These mechanical detection watches are old-fashioned, which cause the low measuring accuracy (real measuring accuracy is far lower than marked accuracy). Besides, great swing of the clock pin makes it hard to read the number exactly and its service life is relatively short. It is far from meeting the operating requirement of internal-combustion engine cylinder’s explosion pressure and compression pressure at the environment of striking by high temperature and pressure pulsed gas (over 500 times per one minute) and mechanical vibration.There are three internal defects of mechanical pressure gauges [3, 4]. They are mechanical hysteresis, stagnation or creeping, and elastic effect. Elastic effect certainly causes performance deviation. Besides, elastic modulus and rigidity modulus of elastic material are low, which leads to a bad dynamic response and affects its use severely [5]. The device presented in this paper equipped with amplified circuit and eight characters LCD screen avoids the detection device and utilizes high temperature piezoresistive pressure sensors as detecting units. The sensor makes it convenient to operate and has high testing precision and more scientific results. At the same time, it possesses several functions of data detection and record.


## 2. Fabrication of High Temperature Piezoresistive Pressure Sensor

Silicon pressure sensors were the first micromechanical devices developed. Using piezoresistive effect and microelectronic technology of semiconductor silicon, they have many advantages: large output signal, high SNR (signal-to-noise), convenient circuit processing, and high frequency responses [6].The conventional piezoresistive pressure sensor chip functions as a Wheatstone bridge, formed by four diffused or ion implanted strain gauges in the thin silicon diaphragm. Silicon exhibits a high gauge factor and is principally applicable as a piezoresistive material up to temperatures of 400°C [7]. However, a known limitation of these silicon-based devices using isolation by reverse biased pn-junctions is the rising junction leakage current at elevated temperatures. The promising attempts for fabrication of high temperature piezoresistive pressure sensors is to cancel pn-insulation of the piezoresistors. One of the basic ideas is silicon on insulator (SOI) technology to remedy this by electrically insulating the thin layer at the wafer surface carrying the electronic device from the bulk wafer used as mechanical support [8, 9].Two mainstream technologies of manufacturing SOI wafer are separation by implantation of oxygen [10, 11] (SIMOX) and bonding technology. SIMOX technology refers to the technology where large dose oxygen ions are implanted into initial silicon, then SOI structure is formed after high temperature annealing. Bonding technology includes bonding and etch back SOI technology and Smart Cut (or UNIBON) technology [12, 13]. This paper adopted SIMOX technology, implanting oxygen ions into n-type silicon to obtain silicon dioxide dielectric isolated SOI wafer with high quality and commercial use. Then silicon chip is manufactured on micro fabrication platform. Since buried layer is isolated by silicon dioxide and pn-junction isolation is cancelled, the leakage current caused by temperature increasing between upper silicon measurement unit and bulk silicon is avoided. The sensor packaged with this kind of sensing chip is presented with high accuracy and a good long-term stability in high temperature testing experiments.Figure1 is the high temperature pressure sensor gauge chip based on SIMOX SOI wafer. One circular shape diaphragm is taken as the sensitive structure layer. The chip still retains silicon as the sensing material but has silicon oxide as an electrically isolating layer between it and the substrate. The sensor packaged with this kind of sensing chip is presented with high accuracy and a good long-term stability in high temperature testing experiments. The designed chip film thickness is 0.04 mm and effective radius of diaphragm is 2 mm.Figure 1
High temperature sensor chip based on SIMOX was used for strain gauges in detecting internal-combustion engine cylinder pressure.When the sensor is subjected to pressure, the gas (or liquid) with high temperature and high pressure acts on the back of the chip and causes it to be deformed. The deformation is converted into the resistance variation in the gauges of the Wheatstone bridge on the other side. The Wheatstone bridge transforms the related stress, due to pressure, into an electrical output. Then this pressure can be measured. The diaphragm of the sensor can be optimized to make sensors of different ranges.


## 3. Testing of Dynamic Characteristics

The natural frequency of peripheral clamped circular diaphragm [14]  fn is
(1)fn=2.54hπr2E3(1-υ2)ρ,
where  E is young modulus, υ is Poisson’s ratio, ρ is material density, and r is the effective radius of diaphragm.Young’s modulus of silicon is almost equal to steel material, but its density is only between 1/3 and 1/4 density of steel. So natural frequency of silicon film is higher than steel sheets by two times. The designed film thickness is 0.04 mm, and effective radius of diaphragm is 2 mm. It is easy to know that theoretic natural frequency is 44.22 kHz. It compared well with dynamic calibrated frequency of shock tube which is 38.46 kHz. It is shown in Figure2 that it meets the requirement of high frequency measurement.Figure 2
Dynamic response of the intelligent detector with the SIMOX silicon chip to meet mechanical impactive vibration.


## 4. TCS Compensation

Piezoresistive pressure sensor is sensitive to the ambient temperature change. The temperature dependence of sheet resistance is one of the main limiting factors to improve the accuracy of the device and extend its application [15, 16].Although various types of piezoresistive pressure sensors are available, for all integrated solid-state piezoresistive sensors, the basic operating principle of the sensor element remains unchanged. A pressure is applied to the resistors made with semiconductor materials in the arms of the bridge change by some amount. These devices use diffused or ion implanted resistors in an integral silicon diaphragm to transform the related stress, due to pressure, into an electrical output.They generally function as a Wheatstone bridge. That is,R1=R2=R3=R4, ΔR1=ΔR3=-ΔR2=-ΔR4. So, the output voltage,  V0, is easily shown to be
(2)V0=VB·ΔRR.
Since the change in resistance is directly proportional to pressure, V0 can be written as
(3)V0=S·P·VB±VOS,
where  V0 is the output in mV, S is the sensitivity in mV/V/Pa, P is the pressure in Pa, VB is the bridge voltage in volts, and VOS is the offset error (the differential output voltage when the applied pressure is zero). The offset voltage presents little problems in application since it can easily be compensated in the amplifier circuit or corrected digitally if a microprocessor is used in the system.Looking at the derivative of (2) with respect to temperature and ignoring the VOS term, we get
(4)V0′=P·(S·VB′+S′·VB).
When a sensor is properly compensated, the output voltage does not change with the temperature.Hence,(5)V0′=0,S·VB′=-S′·VB,orVB′/VB=-S′/S.S′/S is the temperature coefficient of sensitivity (TCS). TCS is always below zero due to the decrease in piezoresistive coefficient with increasing temperature. In order to compensate for the change in sensitivity, the bridge voltage must change with equal magnitude in the opposite direction, that is, using positive temperature coefficient of bridge voltage compensates negative TCS.Although the basic piezoresistive pressure sensor elements are often referred to as either constant current or constant voltage driven sensors, the two basic methods of TCS compensation are using the internal characteristics of the die in conjunction with a constant source or using thermistors or other similar devices in conjunction with a constant voltage source [17, 18].Thermistors can be used for TCS compensation. But they are inherently nonlinear, difficult to use in volume production, and more expensive than circuit approaches. The circuit is designed to incorporate a minimum number of adjustments and allow interchangeability of devices with little variation from device to device.In this work, LM334 used for TCS compensation easily and inexpensively is shown in Figure3. The LM334 is a three-pin programmable current source featuring an output current that rises linearly with temperature at +3360%/°C. In Figure 3, it is shown that
(6)VB=IBRB=(ISET+I2)RB=(ISET+VS-VBR2)RB,
Where  VB is the Wheatstone bridge voltage,  IB is Wheatstone bridge current, RB  is Wheatstone bridge internal resistance ISET is integrated constant current, I1 and I2 are the currents of the outer R1 and  R2, and VS is the supply voltage.Figure 3
Sensitivity temperature coefficient compensation-based integrated constant current.Solving (6), it becomes
(7)VB=(ISETR2+VS)RBRB+R2.Asα=RB/(RB+R2), taking the derivative with respect to temperature of (9) and normalizing it with respect to the bridge voltage, we obtain
(8)VB′VB=(RB′RB)(1-α)+(ISET′ISET)(1-α(VSVB)).
Solving the equation for resistor  R2, we get
(9)R2=RB[ISET′/ISET((VS/VB)-1)+VB′/VB](RB′/RB)+(ISET′/ISET)-(VB′/VB).
Substituting (7) into (9), we find that
(10)R2=RB[(ISET′/ISET)((VS/VB)-1)-(S′/S)](RB′/RB)+(ISET′/ISET)+(S′/S).According to the three-pin programmable current sourceISET=0.0677/R1, once R2 is known, R1 can be derived from the following equation:
(11)R1=0.0677RBR2VB(RB+R2)-VSRB.To a senor chip, if theVS and VB  are assumed,RB,S′/S, and RB′/RB can be obtained. With ISET′/ISET=3360×10-6/°C, substituting the above values into (10) and (11), R1 and R2 can be obtained.In experiments, 10 pieces of sensor chips are picked up randomly. Initially, before the compensation, the calibration is done with the temperature characteristic of the sensor (after ageing). The compensating value of TCS can be calculated from the data of calibration. The absolute value of the compensated TCS is easy to be 10 × 10−6/°C~100 × 10−6/°C by calibration of several temperature compensation cycles. Three experimental results of the ten sensors are listed in Table 1. Then the compensation of TCO (temperature compensation of offset) is measured [19]. The experiments show that if the basic feature of the sensor is stable, the absolute value of the compensated TCO is easy to be controlled in 10 × 10−6/°C~100 × 10−6/°C. Meanwhile, it shows that the changes are not so obvious for measuring the overall TCS of the sensor once again, as referred to the third group data in Table 1. The feasibility of this method is subsequently demonstrated by the static calibrations and offset stability measurements, and then is promoted in line product of micropressure sensor.Table 1
TCS compensation measurement results.
V
S (V)
V
B (V)
Times
No.
Uncompensated TCS/×10−6/°C
R
5 (KΩ)
R
6 (KΩ)
Compensated  TCS/×10−6/°C
6
4
1
1
−2529
82
9.1
21
6
4
2
1
−2529
82
9.1
32
6
4
3*
1
−2529
82
9.1
25
9
6
1
1
−2529
56
8.2
48
9
6
2
1
−2529
56
8.2
30
9
6
3*
1
−2529
56
8.2
35
12
9
1
1
−2529
36
7.5
−27
12
9
2
1
−2529
36
7.5
−14
12
9
3*
1
−2529
36
7.5
−20
6
4
1
2
−2617
75
9.1
−19
6
4
2
2
−2617
75
9.1
−26
6
4
3*
2
−2617
75
9.1
−37
9
6
1
2
−2617
56
10
45
9
6
2
2
−2617
56
10
36
9
6
3*
2
−2617
56
10
39
12
9
1
2
−2617
33
7.5
−20
12
9
2
2
−2617
33
7.5
−38
12
9
3*
2
−2617
33
7.5
−34
Note: 3* is referred to the third measurement data of TCS after compensation of TCO.For a pressure sensor, zero point stability for a long term is also an important parameter. The sensor zero point output under the ambient environment for 12 hours was measured. The output voltages are measured with recording the ambient temperature. Figure4 shows the variation of output voltage. The pressure sensor has a strong anti-interference ability and can meet the requirement of high accuracy tests.Figure 4
Intelligent detector’s zero point stability under room temperature.The intelligent detector of internal-combustion engine cylinder pressure is shown in Figure5. It was packaged with high temperature piezoresistive pressure sensor to get the high frequency response as well as to perform under harsh environment. Equipped with preamplifier circuit, it was convenient to read the testing results, and the operating performance is reliable.Figure 5
Intelligent detector of internal-combustion engine cylinder pressure with sensitivity temperature coefficient compensation-based integrated constant current.


## 5. Discussion

Detectors were sent to Dalian Locomotive Works to carry contrast test with mechanical watch on DF4 locomotives testbed. The results presented that maximum power of the diesel engine is 2650 KW. Explosive pressure is over 12.55 MPa, and allowable error of air cylinders is 0.589 MPa. Contrast data of sixteen air cylinders is shown in Table2.Table 2
Contrast testing data of the detector and the mechanical watch.
Cylinder number
Pressure value of  mechanical watch (MPa)
Pressure value of the detector (MPa)
1
11.80
12.60
2
12.00
13.50
3
11.80
13.15
4
12.00
13.55
5
11.80
13.20
6
12.00
13.55
7
11.80
12.85
8
12.00
13.75
9
12.10
13.05
10
12.00
13.40
11
12.00
13.85
12
12.20
13.85
13
12.20
13.50
14
12.00
13.75
15
12.20
13.30
16
12.30
14.00Pressure recorded by detector was higher than testing result of mechanical watch. Mechanical watch produced major pressure loss during measurement process which was caused by its structure defect.The head of mechanical watch consists of flattened and bent metal tube. The head produced deformation at the environment of high temperature and impure gas. There is a check valve of plane type inside. Its sealing is easy to be damaged by carbide in air, which will contribute to a much shorter life than detector. Sometimes mechanical watch may break down before finishing the test.


## 6. Conclusion

Intelligent detector of internal-combustion engine cylinder pressure with sensitivity temperature coefficient compensation-based integrated constant current is demonstrated in this paper. Separation by implanted oxygen (SIMOX) wafer was used to fabricate the high temperature pressure sensor chip. For high accuracy and wide temperature range application, this paper also presents a novel pressure sensitivity temperature coefficient (TCS) compensation method, using integrated constant current network. A quantitative compensation formula is introduced in mathematics. During experiments, the absolute value of the compensated TCS is easy to be 10 × 10−6/°C~100 × 10−6/°C by individual adjustment and calibration of each device’s temperature compensation. Intelligent detector effectively avoided the effect caused by high temperature and pressure pulsed gas, using high temperature piezoresistive pressure transducer. Meanwhile, the detector equipped with preamplifier circuit makes it convenient for the operator to read the results and guarantees the scientific and reasonable testing result.



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*Source: 107582-2013-10-21.xml*