UNIT III Data Acquisition & Microcontroller System. Mr. Manoj Rajale
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1 UNIT III Data Acquisition & Microcontroller System Mr. Manoj Rajale
2 Syllabus Interfacing of Sensors / Actuators to DAQ system, Bit width, Sampling theorem, Sampling Frequency, Aliasing, Sample and hold circuit, ADC (Successive Approximation), DAC (R-2R), Current and Voltage Amplifier.
3 Objectives. Understand key elements of Mechatronics system, representation into block diagram 2. Understand concept of transfer function, reduction and analysis 3. Understand principles of sensors, its characteristics, interfacing with DAQ microcontroller 4. Understand the concept of PLC system and its ladder programming, and significance of PLC systems in industrial application 5. Understand the system modeling and analysis in time domain and frequency domain. 6. Understand control actions such as Proportional, derivative and integral and study its significance in industrial applications.
4 Outcomes. Identification of key elements of mechatronics system and its representation in terms of block diagram 2. Understanding the concept of signal processing and use of interfacing systems such as ADC, DAC, digital I/O 3. Interfacing of Sensors, Actuators using appropriate DAQ micro-controller 4. Time and Frequency domain analysis of system model (for control application) 5. PID control implementation on real time systems 6. Development of PLC ladder programming and implementation of real life system
5 Introduction- DAQ is first step in any automated system. Data means Signal obtained by transducer. In electronics, an analog-to-digital converter (ADC, A/D, A D, or A-to-D) is a system that converts an analog signal, such as a sound picked up by a microphone or light entering a digital camera, into a digital signal. An ADC may also provide an isolated measurement such as an electronic device that converts an input analog voltage or current to a digital number proportional to the magnitude of the voltage or current. A digital-to-analog converter (DAC) performs the reverse function; it converts a digital signal into an analog signal.
6 Interfacing of Sensor / Actuator to DAQ Mechanical System Sensors Amplifying Electronics Actuators Data Acquisition System Amplifying Electronics Data Acquisition System Control System Micro-controller or Computer
7 What is Analog / Digital Signal?
8 Steps in DAQ. The sensor measures behavior of system 2. The output from the sensor is conditioned (amplified, filtered, etc.). 3. The conditioned analog signal is digitized using an analogto-digital converter (ADC) 4. The digital information is acquired, processed and recorded by the computer. 5. The computer may then modify the system by outputting control signals. The digital control signals are converted to analog signals using a digital-to-analog converter (DAC). 6. The analog signals are conditioned (e.g. amplified and filtered) appropriately for an actuator 7. The actuator interacts with the system to give desired response
9 Interfacing of Sensor / Actuator to DAQ
10 Interfacing of Sensor / Actuator to DAQ
11 Analog - Digital Converter Engineering signals are continuous. Eg: voltage that varies over time; a chemical reaction rate that depends on temperature, etc. ADC and DAC allow digital computers to interact with these signals. Analog-Digital Conversion Process
12 How does ADC Work? Converts an analog voltage level to a digital number Digital Numbers can be effectively handled by microcontrollers, analog levels Digital numbers are non-fractional
13 How does ADC Work?
14 An electronic integrated circuit which transforms a signal from analog (continuous) to digital (discrete) form. Analog signals are directly measurable quantities. Digital signals only have two states. For digital computer, we refer to binary states, 0 and. Microprocessors can only perform complex processing on digitized signals. ADC Provides a link between the analog world of transducers and the digital world of signal processing and data handling.
15 Application of ADC ADC are used virtually everywhere where an analog signal has to be processed, stored, or transported in digital form. Some examples of ADC usage are digital volt meters, cell phone, thermocouples, and digital oscilloscope. Microcontrollers commonly use 8, 0, 2, or 6 bit ADCs. In aircrafts control system, industrial processes
16 Important in DAQ. Resolution (bits) & bit width i. Precision of A to D conversion process is dependent upon the number (n) of bits the ADC of DAQ is used. ii. The higher the resolution, the higher the number of division, the voltage range is broken into (2 n ), and therefore, the smaller detectable voltage changes. 2. Sampling rate
17 Resolution- The smallest change in analog signal that will result in a change in the digital output. Resolution defines the number of possible output states ΔV = Resolution V r = Reference voltage range N = Number of bits in digital output. 2 N = Number of states. 8-bit converter has bit converter has bit converter has 2 2 = 256 states = 024 states = 4096 states Higher resolution = less quantization error
18 -bit analog to digital conversion Resolution 2-bit analog to digital conversion 3-bit analog to digital conversion
19 Example
20 Sampling- Reduction of continuous signal to discrete signal
21 Example- Sampling Freq= () (2) (4) (3)
22 Example-2 Sampling Freq= () (2) (4) (3)
23 Nyquist Criterion- Why is this Sample Frequency Important? The Nyquist criterion states that, in order to prevent undesired aliasing, one must sample a signal at a rate equal to at least twice its bandwidth. As per Nyquist Theorem : f s 2 f Example
24
25 Proper and Improper Sampling As per Nyquist Theorem : f s 2 f f s - number of samples obtained in one second f- highest freq
26 Aliasing Aliasing results into a different signal when reconstructed from samples taken from a continuous signal Reconstructed Signal Actual Signal
27 Aliasing Example
28 Analog to digital conversion is a two-step process: Quantizing: in binary Partitioning the reference signal range into a number of discrete quanta, then matching the input signal to the correct quantum. Analog Signal Digital output in binary Encoding: Assigning a unique digital code to each quantum, then allocating the digital code to the input signal.
29 () (2) (3)
30 () (2) (3)
31 () (2) (3)
32 Sampling rate Bit Width
33 There are two ways to best improve the accuracy of A/D conversion:. increasing the resolution which improves the accuracy in measuring the amplitude of the analog signal. 2. increasing the sampling rate which increases the maximum frequency that can be measured. Low Accuracy Improved
34
35
36 Sample and Hold Operation SHA is used in ADC, to stabilize the voltage while it is being converted to a digital value SHA consists of a voltage holding capacitor and a voltage follower When the switch is closed, the output voltage is equal to the input voltage When the switch is open, capacitor holds the voltage corresponding to the last sampled value Sample and Hold Circuit
37 Types of A/D Converters. Dual Slope A/D Converter 2. Successive Approximation A/D Converter 3. Flash A/D Converter 4. Delta-Sigma A/D Converter 5. Other- Voltage-to-frequency, staircase ramp or single slope, charge balancing or redistribution, switched capacitor, tracking, and synchro or resolver
38 Example- Analog signal Sampling Increase sampling rate for smoother curve Sampling & holding
39 Cont.. Quantizing analog signal
40 Least Significant Bit (LSB) and Most Significant Bit (MSB)
41 Successive Approximation Register type ADC The SAR is initialized so that the MSB is equal to a. This code is fed into the DAC, which then supplies the analog equivalent of this digital code into the comparator circuit for comparison with the sampled input voltage. If this analog voltage exceeds V in the comparator causes the SAR to reset this bit; otherwise, the bit is left a. Then the next bit is set to and the same test is done, continuing this until every bit in the SAR has been tested. SAR type ADC The resulting code is the digital approximation of the sampled input voltage
42 Uses a n-bit DAC to compare DAC and original analog results. Uses SAR supplies an approximate digital code to DAC of Vin. Comparison changes digital output to bring it closer to the input value. Uses Closed-Loop Feedback Conversion
43 SAR ADC
44 Advantages. Medium accuracy compared to other ADC types 2. Good tradeoff between speed and cost 3. Capable of outputting the binary number in serial (one bit at a time) format. Disadvantages. Higher resolution required 2. successive approximation 3. ADC s will be slower
45 Example For a 0 bit ADC with a V ref =volts, find the digital equivalent of V in =0.6
46 Cont. Vin = 0.6v For MSB i.e. bit 9. V= V ref / 2 n 2. Compare V with V in 0.5 V ref MSB i. If V in is greater than V, turn MSB on i.e. = 0 Bit sytem LSB ii. If V in is less than V, turn MSB off i.e. = 0 3. V in =0.6V and V = V ref / 2 = Since V in > V, 0.6> 0.5, MSB is turned on i.e. =
47 For MSB i.e. bit 8 Cont.. Compare V in =0.6 V to V 2 =V + V ref /2 2 = = 0.75V. Since 0.6<0.75, MSB is turned off i.e = 0 For MSB 2 i.e. bit 7. Compare V in =0.6 V with V 3 =(V +V ref /2 3 )= Since 0.6<0.625, MSB 2 is turned off i.e = 0
48 Cont. For MSB 3 i.e. bit 6. Go to the last bit that caused it to be turned on (In this case MSB-) and add it to V ref /6, and compare it to V in 2. Compare V in to V 4 = V + V ref /2 4 = Since 0.6>0.5625, MSB 3 turned on =
49 Cont. This process continues for all the remaining bits Thus, the digital equivalent of V in =0.6 is: volts out out out ref out V V V b b b b b b b b b b V V
50 Digital -Analog Conversion Properly weighted voltages are summed together to yield the analog output. Three weighted voltages are summed. The three-bit binary code is represented by the switches Thus, if the binary number is 0, the center and bottom switches are on, and the analog output is 6 volts. In actual use, the switches are electronic and are set by the input binary code.
51 R-2R Digital - Analog Converter 4 Bit Digital-Analog Converter using R-2R Approach
52 Ex. Convert 000 to analog signal
53 Cont
54 Cont =V R/(2R) =
55 Cont
56 Cont
57 Cont
58 Digital - Analog Converter For binary input, voltage V 0 is then equal to: In generic terms, for a four bit DAC, the equivalent analog output is given by: V out V s b b b b V V s out
59 Example An 8-bit R-2R DAC has a V ref of 0 Volts. The binary input is 000. Find the analog output voltage. V out V ref b 7 2 b 6 4 b 5 8 b 4 6 b 3 32 b 2 64 b 28 b V out V out V out volts
60 OR An 8-bit R-2R DAC has a V ref of 0 V. The binary input is 000. Find the analog output voltage.
61 Op amplifier
62 Inverting type op amplifier In which the output is exactly 80 0 out of phase with respect to input (i.e. if you apply a positive voltage, output will be negative). i V s i 2 Applying KCL at inverting node we get i = (V i -V s )/R i V s = 0 (Virtual ground) Let, i = i 2 and i 2 = (V s -V o )/R f (V i -0)/R i = (0-V o )/R f Voltage gain A v = V o / V i = R f /R i
63
64 Non-inverting type op amplifier In which the output is in phase with respect to input (i.e. if you apply a positive voltage, output will be positive ). Applying Ohms at inverting node we get, i + i 2 =0 (V i /R +(V i -V o )/R f = 0 V i (/R +/R f ) - V 0 /R f =0 Voltage gain A v = V o / V i = (+ R f /R i )
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