• Tidak ada hasil yang ditemukan

3 : ELEMEN DAN KARAKTERISTIK SENSOR

N/A
N/A
Protected

Academic year: 2021

Membagikan "3 : ELEMEN DAN KARAKTERISTIK SENSOR"

Copied!
53
0
0

Teks penuh

(1)

3 : ELEMEN DAN

KARAKTERISTIK SENSOR

Program Studi Fisika

FI 365

FI 365

FI 365

FI 365 –

– SISTEM INSTRUMENTASI

SISTEM INSTRUMENTASI

SISTEM INSTRUMENTASI

SISTEM INSTRUMENTASI

(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 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

(3)

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 I

2

2

(4)

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 I

3

3

 Keramik  Glass  Biological substance 

Energi

 Elektrik  Magnetik  Termal  Akustik  Optik

(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

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 supply

(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

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 I

5

5

(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

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 I

6

6

(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

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 I

7

7

(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

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 I

8

8

(10)

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 Spectrum

Radiant Sensors

Radiant Sensors

 Electromagnetic Spectrum

Visible 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

(11)

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 Spectrum

Light 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

(12)

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 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

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

(13)

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 Acceleration

Velocity 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

(14)

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

(15)

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

(16)

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

(17)

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 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

(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

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 I

17

17

 Karakteristik STATIK  Karakteristik DINAMIK

(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 : 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

(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

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

(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 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

20

20

(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, 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

(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 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

(24)

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

(25)

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

24

24

Input range : 0 s/d 104 Pa Output range : 4 s/d 20 mA

(26)

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 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

25

25

 Suatu Pressure Transmitter memiliki span sebagai berikut

 Input Span = 104 Pa  Output Span = 16 mA

Input span : 104 Pa

(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 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 I

26

26

MIN MAX MIN MAX

Lurus

Garis

Kemiringan

Input

Input

Output

Output

K

=

=

(28)

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

(29)

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 ... Contoh

Tegangan 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,

(30)

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 Sensitivit

Contoh : 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

29

29

Contoh : Sensitivitas Termokopel Cooper - Constantant

... 10 213 . 6 10 638 . 6 74 . 38 y Sensitivit = = + ⋅ −2T + ⋅ −4T2 + dT dE

(31)

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

30

30

 Terdapat 2 jenis input lingkungan

 Modifying Input

 Menyebabkan sensitivitas linier sistem pengukuran

berubah

 Interfering Input

 Menyebabkan intersepsi atau zero bias sistem pengukuran

(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 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

31

31

(33)

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

( )

InHysteresis 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

32

32

(34)

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

33

33

Hasil pengukuran: - 4,235 mm - 4,240 mm - 4,236 mm - 4,235 mm - 4,237 mm Resolusi ?

(35)

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

34

34

(36)

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

35

35

( )

       > − + > + ≤ ≤ − = = = 0 0 0 0 2 1 h Out h Out h Out Out h Out h O p ideal ideal ideal ideal

(37)

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) 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

36

36

Referensi

Dokumen terkait

Tahun 1945 sebagaim ana t elah diubah dengan Perubahan Pert am a Tahun 1999, ket ent uan- ket ent uan perpaj akan yang m erupakan landasan pem ungut an paj ak dit et apkan

Berdasarkan Gambar 2 dan Gambar 3, maka model yang paling baik untuk kerapatan macet (Dj) berturut-turut adalah model Greenshield, Greenberg dan Underwood. Hal ini bisa

In the process of learning degrees of comparison, many students still find difficulties in making or understanding of comparative or superlative forms even though distinguishing

Peningkatan nilai kuat kejut (impact) tersebut antara lain disebabkan karena adanya kontribusi dari serat bendrat terhadap volume adukan beton yang semakin padat, maka

- Dikirim rangkap dua ke Dinas Pendapatan Daerah setelah diproses satu lembar dikirim kembali ke Kepala Desa/Lurah sebagai Lampiran Surat Keputusan. LAMPIRAN II.b

Mencuci tangan sebaiknya dilakukan sebelum dan sesudah memeriksa dan mengadakan kontak langsung dengan pasien, saat memakai melepas sarung tangan bedah steril atau

Oleh karena itu berdasarkan pada masalah diatas dan di wilayah Puskesmas Jambu Kabupaten Semarang termasuk daerah dengan angka cakupan imunisasi TT yang kurang

[r]