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Automation and control Dr. Salman Hussain 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 What is an Op-Amp? – The Surface An Operational Amplifier (Op-Amp) is an integrated circuit that uses external voltage to amplify the input through a very high gain. We recognize an Op-Amp as a massproduced component found in countless electronics. What an Op-Amp looks like to a lay-person What an Op-Amp looks like to an engineer 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 Applications of Op-Amps Filters Low pass filter Types: •Low pass filter •High pass filter •Band pass filter •Cascading (2 or more filters connected together) R1 Low pass filter transfer function + Low pass filter Cutoff frequency C R2 + + Vcc - Vcc + V0 __ Applications of Op-Amps Electrocardiogram (EKG) Amplification Need to measure difference in voltage from lead 1 and lead 2 60 Hz interference from electrical equipment Applications of Op-Amps Simple EKG circuit Uses differential amplifier to cancel common mode signal and amplify differential mode signal Realistic EKG circuit Uses two noninverting amplifiers to first amplify voltage from each lead, followed by differential amplifier Forms an “instrumentation amplifier” Strain Gauge Use a Wheatstone bridge to determine the strain of an element by measuring the change in resistance of a strain gauge (No strain) Balanced Bridge R #1 = R #2 (Strain) Unbalanced Bridge R #1 ≠ R #2 Strain Gauge Half-Bridge Op amp used to amplify output from strain gauge Arrangement R + ΔR + - Vref Rf R + R + Vcc - Vcc + V0 R - ΔR Rf Using KCL at the inverting and noninverting terminals of the op amp we find ε ~ Vo = 2ΔR(Rf /R2) that __ Applications of Op-Amps Piezoelectric Transducer Used to measure force, pressure, acceleration Piezoelectric crystal generates an electric charge in response to deformation Use Charge Amplifier Just an integrator op-amp circuit PID Controller – System Block Diagram P VSET VERROR I Output Process D VSENSOR Sensor •Goal is to have VSET = VOUT •Remember that VERROR = VSET – VSENSOR •Output Process uses VERROR from the PID controller to adjust Vout such that it is ~VSET VOUT Applications PID Controller – System Circuit Diagram Signal conditioning allows you to introduce a time delay which could account for things like inertia System to control Calculates VERROR = -(VSET + VSENSOR) -VSENSOR Source: http://www.ecircuitcenter.com/Circuits/op_pid/op_ Applications Adjust Change PID Controller – PID Controller Circuit Kp Diagram RP1, RP2 Ki Kd VERR RI, CI RD, CD VERR PID Applications of Op-Amps Example of PI Control: Temperature Control Thermal System we wish to automatically control the temperature of: Block Diagram of Control System: Applications of Op-Amps • Example of PI Control: Temperature Contro Voltage Error Circuit: Proportion al-Integral Control Circuit: 90