3 : ELEMEN DAN
KARAKTERISTIK SENSOR
Program Studi Fisika
FI 365
FI 365
FI 365
FI 365 –
–
–
– SISTEM INSTRUMENTASI
SISTEM INSTRUMENTASI
SISTEM INSTRUMENTASI
SISTEM INSTRUMENTASI
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I ISI KULIAH
Elemen Sensor
Karakteristik Dasar
Identifikasi Karakteristik Sensor
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
1
1
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
ELEMEN SENSOR
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I2
2
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I Elemen Sensor
Domain elemen sensor
material energi Material Silicon Plastik Metal Keramik
Energi
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I3
3
Keramik Glass Biological substanceEnergi
Elektrik Magnetik Termal Akustik OptikS IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S
I
Stimulus
Stimulus
Stimulus
Stimulus
Mekanik Radiasi Kimia Magnetik Magnetik Termal F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
4
4
Elektrik Sensor Sensor output signal measurand Sensor Sensor output signal measurand power supplyS IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
Transduction effect
Transduction effect
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I5
5
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
Transduction effect
Transduction effect
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I6
6
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
Scale of measurands
Scale of measurands
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I7
7
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
Sensing constraints
Sensing constraints
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I8
8
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
Radiant Sensors
Radiant Sensors
Electromagnetic SpectrumRadiant Sensors
Radiant Sensors
Electromagnetic SpectrumVisible Spectrum 700 nm 400 nm F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
9
9
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
Radiant Sensors
Radiant Sensors
Electromagnetic SpectrumLight Sensors Light Sensors • Photodiodes • Phototransistor • Photoresistors • Cooled Detectors • Thermal Detectors • Golay Cells • Thermopile Sensors • Pyroelectric Sensors Light Sensors Light Sensors • Photodiodes • Phototransistor • Photoresistors • Cooled Detectors • Thermal Detectors • Golay Cells • Thermopile Sensors • Pyroelectric Sensors Radiation Sensors Radiation Sensors • Scintillating Detectors • Ionization Detectors Radiation Sensors Radiation Sensors • Scintillating Detectors • Ionization Detectors F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
10
10
• Pyroelectric Sensors • Bolometers• Active Far-Infrared Sensors • Gas Flame Detectors
• Pyroelectric Sensors • Bolometers
• Active Far-Infrared Sensors • Gas Flame Detectors
• Ionization Detectors • Ionization Chambers • Proportional Chambers • Geiger–Müller Counters • Semiconductor Detectors • Ionization Detectors • Ionization Chambers • Proportional Chambers • Geiger–Müller Counters • Semiconductor Detectors
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
Mechanical Sensors
Mechanical Sensors
Occupancy and Motion DetectorsOccupancy and Motion Detectors
• Ultrasonic Sensors
• Microwave Motion Detectors • Capacitive Occupancy Detectors • Triboelectric Detectors
• Optoelectronic Motion Detectors
• Visible and Near-Infrared Light Motion Detectors & Far-IR Motion Detectors
Occupancy and Motion Detectors Occupancy and Motion Detectors
• Ultrasonic Sensors
• Microwave Motion Detectors • Capacitive Occupancy Detectors • Triboelectric Detectors
• Optoelectronic Motion Detectors
• Visible and Near-Infrared Light Motion Detectors & Far-IR Motion Detectors
Position, Displacement, and Level Position, Displacement, and Level
• Potentiometric Sensors
Position, Displacement, and Level Position, Displacement, and Level
• Potentiometric Sensors F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
11
11
• Potentiometric Sensors • Gravitational Sensors • Capacitive Sensors• Inductive and Magnetic Sensors • LVDT and RVDT
• Eddy Current Sensors & Transverse Inductive Sensor • Hall Effect Sensors & Magnetoresistive Sensors
• Optical Sensors
• Optical Bridge & Proximity Detector with Polarized Light • Fiber-Optic Sensors & Fabry–Perot Sensors
• Grating Sensors & Linear Optical Sensors (PSD) • Ultrasonic Sensors
• Radar Sensors : Micropower Impulse Radar & Ground-Penetrating Radar • Thickness and Level Sensors : Ablation & Thin-Film & Liquid-Level Sensors • Potentiometric Sensors
• Gravitational Sensors • Capacitive Sensors
• Inductive and Magnetic Sensors • LVDT and RVDT
• Eddy Current Sensors & Transverse Inductive Sensor • Hall Effect Sensors & Magnetoresistive Sensors
• Optical Sensors
• Optical Bridge & Proximity Detector with Polarized Light • Fiber-Optic Sensors & Fabry–Perot Sensors
• Grating Sensors & Linear Optical Sensors (PSD) • Ultrasonic Sensors
• Radar Sensors : Micropower Impulse Radar & Ground-Penetrating Radar • Thickness and Level Sensors : Ablation & Thin-Film & Liquid-Level Sensors
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
Mechanical Sensors
Mechanical Sensors
Velocity and AccelerationVelocity and Acceleration
• Capacitive Accelerometers • Piezoresistive Accelerometers • Piezoelectric Accelerometers • Thermal Accelerometers • Heated-Plate Accelerometer • Heated-Gas Accelerometer • Gyroscopes • Rotor Gyroscope
• Monolithic Silicon Gyroscopes
Velocity and Acceleration Velocity and Acceleration
• Capacitive Accelerometers • Piezoresistive Accelerometers • Piezoelectric Accelerometers • Thermal Accelerometers • Heated-Plate Accelerometer • Heated-Gas Accelerometer • Gyroscopes • Rotor Gyroscope
• Monolithic Silicon Gyroscopes
Pressure Sensors Pressure Sensors
• Mercury Pressure Sensor • Piezoresistive Sensors • Capacitive Sensors . • VRP Sensors • Optoelectronic Sensors Pressure Sensors Pressure Sensors
• Mercury Pressure Sensor • Piezoresistive Sensors • Capacitive Sensors . • VRP Sensors • Optoelectronic Sensors F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
12
12
• Monolithic Silicon Gyroscopes • Optical Gyroscopes
• Monolithic Silicon Gyroscopes • Optical Gyroscopes
Force, Strain, and Tactile Sensors Force, Strain, and Tactile Sensors
• Strain Gauges • Tactile Sensors .
• Piezoelectric Force Sensors
Force, Strain, and Tactile Sensors Force, Strain, and Tactile Sensors
• Strain Gauges • Tactile Sensors .
• Piezoelectric Force Sensors
• Optoelectronic Sensors • Vacuum Sensors
• Pirani Gauge
• Ionization Gauges • Gas Drag Gauge • Optoelectronic Sensors • Vacuum Sensors
• Pirani Gauge
• Ionization Gauges • Gas Drag Gauge
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
Mechanical Sensors
Mechanical Sensors
Flow Sensors Flow Sensors• Thermal Transport Sensors • Ultrasonic Sensors
• Electromagnetic Sensors • Microflow Sensors
• Breeze Sensor
• Coriolis Mass Flow Sensors
Flow Sensors Flow Sensors
• Thermal Transport Sensors • Ultrasonic Sensors
• Electromagnetic Sensors • Microflow Sensors
• Breeze Sensor
• Coriolis Mass Flow Sensors
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
13
13
• Coriolis Mass Flow Sensors • Drag Force Flow Sensors • Coriolis Mass Flow Sensors • Drag Force Flow Sensors
Acoustic Sensors Acoustic Sensors • Resistive Microphones • Condenser Microphones • Fiber-Optic Microphone • Piezoelectric Microphones • Electret Microphones
• Solid-State Acoustic Detectors
Acoustic Sensors Acoustic Sensors • Resistive Microphones • Condenser Microphones • Fiber-Optic Microphone • Piezoelectric Microphones • Electret Microphones
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
Temperature Sensors
Temperature Sensors
• Thermoresistive Sensors • Resistance Temperature • Silicon Resistive Sensors • Thermistors• NTC Thermistors
• Self-Heating Effect in NTC Thermistors • PTC Thermistors
• Thermoelectric Contact Sensors
• Semiconductor P-N Junction Sensors • Thermoresistive Sensors
• Resistance Temperature • Silicon Resistive Sensors • Thermistors
• NTC Thermistors
• Self-Heating Effect in NTC Thermistors • PTC Thermistors
• Thermoelectric Contact Sensors
• Semiconductor P-N Junction Sensors
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
14
14
• Semiconductor P-N Junction Sensors • Optical Temperature Sensors
• Fluoroptic Sensors
• Interferometric Sensors
• Thermochromic Solution Sensor • Acoustic Temperature Sensor
• Piezoelectric Temperature Sensors • Semiconductor P-N Junction Sensors • Optical Temperature Sensors
• Fluoroptic Sensors
• Interferometric Sensors
• Thermochromic Solution Sensor • Acoustic Temperature Sensor
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
Magnetic Sensors
Magnetic Sensors
Direct Sensors• Metal-Oxide Chemical Sensors • ChemFET
• Electrochemical Sensors • Potentiometric Sensors • Conductometric Sensors • Amperometric Sensors
• Enhanced Catalytic Gas Sensors Direct Sensors
• Metal-Oxide Chemical Sensors • ChemFET
• Electrochemical Sensors • Potentiometric Sensors • Conductometric Sensors • Amperometric Sensors
• Enhanced Catalytic Gas Sensors
Complex Sensors • Thermal Sensors
• Pellister Catalytic Sensors • Optical Chemical Sensors • Mass Detector
• Biochemical Sensors Complex Sensors • Thermal Sensors
• Pellister Catalytic Sensors • Optical Chemical Sensors • Mass Detector • Biochemical Sensors F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
15
15
• Enhanced Catalytic Gas Sensors • Elastomer Chemiresistors
• Enhanced Catalytic Gas Sensors • Elastomer Chemiresistors
• Biochemical Sensors • Enzyme Sensors • Biochemical Sensors • Enzyme Sensors
Humidity and Moisture Sensors • Capacitive Sensors
• Electrical Conductivity Sensors • Thermal Conductivity Sensor • Optical Hygrometer
• Oscillating Hygrometer
Humidity and Moisture Sensors • Capacitive Sensors
• Electrical Conductivity Sensors • Thermal Conductivity Sensor • Optical Hygrometer
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
Chemical Sensors
Chemical Sensors
Direct Sensors• Metal-Oxide Chemical Sensors • ChemFET
• Electrochemical Sensors • Potentiometric Sensors • Conductometric Sensors • Amperometric Sensors
• Enhanced Catalytic Gas Sensors • Elastomer Chemiresistors
Direct Sensors
• Metal-Oxide Chemical Sensors • ChemFET
• Electrochemical Sensors • Potentiometric Sensors • Conductometric Sensors • Amperometric Sensors
• Enhanced Catalytic Gas Sensors • Elastomer Chemiresistors
Complex Sensors • Thermal Sensors
• Pellister Catalytic Sensors • Optical Chemical Sensors • Mass Detector
• Biochemical Sensors • Enzyme Sensors Complex Sensors • Thermal Sensors
• Pellister Catalytic Sensors • Optical Chemical Sensors • Mass Detector • Biochemical Sensors • Enzyme Sensors F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
16
16
• Enzyme Sensors • Enzyme SensorsHumidity and Moisture Sensors • Capacitive Sensors
• Electrical Conductivity Sensors • Thermal Conductivity Sensor • Optical Hygrometer
• Oscillating Hygrometer
Humidity and Moisture Sensors • Capacitive Sensors
• Electrical Conductivity Sensors • Thermal Conductivity Sensor • Optical Hygrometer
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
KARAKTERISTIK
SENSOR
Karakteristik STATIK F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I17
17
Karakteristik STATIK Karakteristik DINAMIKS IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I Karakteristik : Pendahuluan F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
18
18
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
Contoh : Kesalahan sistematik dan random
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
19
19
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I Karakteristik Sensor F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
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20
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
Akurasi, Diskriminasi dan Presisi
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
21
21
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I Presisi F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
22
22
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
Akurasi dan Errror
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
23
23
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
Rentang Input & Output
RANGE
Input Range
Rentang nilai antara input minimum dan input maksimum Misal : Input range suatu transduser tekanan 0 s/d 104 Pa
Output Range
Rentang nilai antara output minimum dan output maksimum Misal : Output range suatu transmitter 4 s/d 20 mA
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
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24
Input range : 0 s/d 104 Pa Output range : 4 s/d 20 mAS IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I Span SPAN
Variasi maksimum input atau output suatu sistem
pengukuran
Input Span = Inputmax – Inputmin
Output Span = Outputmax – Outputmin
Contoh
Suatu Pressure Transmitter memiliki span sebagai berikut
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
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25
Suatu Pressure Transmitter memiliki span sebagai berikut
Input Span = 104 Pa Output Span = 16 mA
Input span : 104 Pa
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I Linieritas LINIERITAS
Suatu sistem dikatakan linier jika hubungan input dan
output merupakan suatu garis lurus
Nilai output suatu sistem linier dinyatakan sbb
a
Input
K
Output
ideal=
×
+
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I26
26
MIN MAX MIN MAXLurus
Garis
Kemiringan
Input
Input
Output
Output
K
−
−
=
=
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I Non-linieritas NON-LINIERITAS
Suatu sistem dikatakan non-linier jika hubungan input dan
output bukan merupakan suatu garis lurus
Contoh kurva linier dan non-linier :
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
27
27
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I Persamaan Output
Secara umum, Output suatu sistem merupakan fungsi Input
dengan bentuk persamaan polinomial berikut
( )
∑
= = = + + + + = m k k k i m m In a In a In a In a a In Out 0 2 2 1 0 ... ContohTegangan keluaran suatu termokopel copper-constantan (type T),
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
28
28
Tegangan keluaran suatu termokopel copper-constantan (type T), diekspresikan dengan persamaan polinom berikut,
( )
T 38.74T 3.319 10 2T2 2.071 10 4T3 ... f (T4) E = + ⋅ − + ⋅ − + + T Elinear = 52.17( )
T 13.43T 3.319 10 2T2 2.071 10 4T3 ... f (T 4) error = − + ⋅ − + ⋅ − + +Untuk rentang 0 s/d 400 oC, tegangan keluaran E(T=0) = 0 µV &
E(T=400oC) = 20869 µV . Persamaan linier untuk rentang tsb,
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I Sensitivitas SENSITIVITAS
Perbandingan perubahan keluaran sistem terhadap
perubahan masukan sistem
( )
( )
In d Out d = y SensitivitContoh : Sensitivitas Termokopel Cooper - Constantant
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
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Contoh : Sensitivitas Termokopel Cooper - Constantant
... 10 213 . 6 10 638 . 6 74 . 38 y Sensitivit = = + ⋅ −2T + ⋅ −4T2 + dT dE
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I Input Gangguan
EFEK LINGKUNGAN (environmental effect)
Secara umum, output pengukuran tidak hanya
fungsi input pengukuran, tetapi juga fungsi input lingkungan seperti temperatur lingkungan,
tekanan atmosfir, kelembaban relatif, suplai tegangan dsb. F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
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Terdapat 2 jenis input lingkungan
Modifying Input
Menyebabkan sensitivitas linier sistem pengukuran
berubah
Interfering Input
Menyebabkan intersepsi atau zero bias sistem pengukuran
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I Input Gangguan Efek lingkungan F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
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S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I Histeresis HYSTERESIS
Histeresis adalah perbedaan nilai Output pengukuran pada saat nilai Input pengukuran membesar (naik) dan mengecil (turun).
( )
I = Out( )
In ↑ − Out( )
In ↓ Hysteresis F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I32
32
S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I Resolusi RESOLUSI
Perubahan nilai terkecil Input pengukuran yang memberikan
respon pada Output pengukuran
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
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Hasil pengukuran: - 4,235 mm - 4,240 mm - 4,236 mm - 4,235 mm - 4,237 mm Resolusi ?S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I Aging
WEAR & AGING
Efek ini mengakibatkan karakteristik sistem pengukuran
seperti konstanta pengukuran K dan zero bias a berubah secara perlahan-lahan selama masa pakai
F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
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S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
ERROR BANDS (pita error)
Efek non-linieritas, histeresis dan resolusi, pada sistem
pengukuran relatif sulit untuk dikuantifikasi secara tepat.
Kinerja suatu sistem pengukuran dinyatakan dalam error
bands
Kinerja sistem pengukuran dinyatakan dalam fungsi
probability density p(O)
Kesalahan F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
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( )
> − + > + ≤ ≤ − = = = 0 0 0 0 2 1 h Out h Out h Out Out h Out h O p ideal ideal ideal idealS IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I
ERROR BANDS (pita error) Kesalahan F I 3 6 5 F I 3 6 5 F I 3 6 5 F I 3 6 5 S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I S IS T E M I N S T R U M E N T A S I