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Experiment 4 Study on Dynamics of First Order and Second Order

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PROCESS CONTROL & INSTRUMENTATION LAB (BKF4791) 2014/2015 Semester I Title of Experiment : 4 - STUDY ON DYNAMICS OF FIRST ORDER AND SECOND ORDER SYSTEMS Date of Experiment : 25 OCTOBER 2014 Instructor’s Name : Dr Noorlisa Binti Harun Group of Member : NAME ID QASTALANI BT MOHD GHAZALI KE 11004 TEOH TZE SIANG KA11103 ASHWINDER A/P CHELLIAH KA11138 NURUL ATIKAH BINTI KAMARUDIN KA11032 NUR SABRINA BINTI RAHMAT KA11050 Group No. : 04 Section : 05 Marks : FACULTY OFCHEMICAL A
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  0 PROCESS CONTROL & INSTRUMENTATION LAB (BKF4791) 2014/2015 Semester I Title of Experiment : 4 - STUDY ON DYNAMICS OF FIRST ORDER AND SECOND ORDER SYSTEMS Date of Experiment : 25 OCTOBER 2014 Instructor’s Name : Dr Noorlisa Binti Harun Group of Member : NAME ID QASTALANI BT MOHD GHAZALI KE 11004 TEOH TZE SIANG KA11103 ASHWINDER A/P CHELLIAH KA11138  NURUL ATIKAH BINTI KAMARUDIN KA11032  NUR SABRINA BINTI RAHMAT KA11050 Group No. : 04 Section : 05 Marks : FACULTY OFCHEMICAL AND NATURAL RESOURCES ENGINEERING   UNIVERSITY MALAYSIA PAHANG Tear here Please keep for student reference.   Received by; ( ) Submitted by; ( )  1 ABSTRACT The first purpose of this experiment is to demonstrate the properties of first and second order systems for different input values while the next purpose is to illustrate the dynamic response of first and second order systems to different input signals. For the first order system, the system gain K   p  (numerator coefficient) was set to 10, 40, 10, 10, 20 and 30 pairing with the system time constant τ  P  (denominator coefficient) which was set to 10, 10, 20, 5, 10 and 20 accordingly. Next, the step time was set to 10.0 and the step function from 0.0 to 1.0 constantly throughout the experiment. Then, the simulation was started to see the response curve. While for the second order system, the procedure is almost same but the value for K   p   was different and also the value for A and B must be change before starting each simulations. If the system is under damped, the overshoot, decay ratio, rise time, settling time and the  period of oscillation will be calculated. For first order, the increase in K   p values when τ  P was kept constant resulting the decrease in time but the output values increased. As for when the τ  P  was set decreasing and K   p was set constant, the time and output values also decreased. As for second order, underdamped system was obtained only when the value of K   p , A and B were 10, 18 and 2 respectively.  2 2.0 METHODOLOGY 2.1 First Order System To start the first order system, on the First and Second Order Systems button from the Main Menu was click and then the First Order System button was selected. The two windows will be display; the first is the system window and the second is the input/output window. First, the system gain K   p  (numerator coefficient) and the system time constant τ  P  (denominator coefficient) both to 10.0 was set by clicking once on the first order system block. The step time to 10.0 was set, initial value of the step function to 0.0 and the final value of the step function to 1.0 by clicking once on the step function block. Click OK after you have done. To start the simulation, Start button was selected from the Simulation menu. The new steady state value and the length of time it takes for the output to reach the new steady state (sec) were recorded. The Pointer button to take several points along the response curve was used in our analysis.  Now the value of K   p  was increased to 40.0 and step 3 was repeated. The response differ from the response in step 3 was recorded. K   p  value was set back to 10.0 and the value of τ  P  was increased to 20.0. The simulation was repeated. This response differ from the response in step 3 was recorded.  Now the value of the K   p  was maintain at 10.0 and the value of τ  P  was decreased to 5.0. The simulation was repeated. The new steady state value and the length of time it takes for the output to reach the new steady state (sec) were recorded. For syestem identification problem, From the Main Menu, the System Identification Problem 1 button was selected. A step input was used; the simulation was run to generate output data that can be used to determine the system gain ( K   p ) and the system time constant ( τ  P ). Remember to use the Pointer button and to take several points along the response curve in your analysis of the system output.  3 2.2 Second Order System To start the second order system, the First and Second Order Systems button was click from the Main Menu then the Second Order Systems button was selected. The two windows will be display; the first is the system window and the second is the input/output window. The system gain ( K   p ) was set to 10.0 (numerator coefficient), the value of A to 40.0 and the value of B to 14.0 (denominator coefficient) by clicking Second Order System  block and the initial value of the Step Function was set to 0.0 and the final value of the Step Function to 1.0 by clicking once on the Step Function block. To start the simulation, Start from the Simulation menu was selected. The system was recorded and analyze whether the system is overdamped, underdamped or critically damped. The overshoot, decay ratio, rise time, settling time and the period of oscillation was recorded if the systems are underdamped. The value of A was changed to 18 and the value of B also changed to 2. The simulation was repeated. The system was recorded and analyze whether the system is overdamped, underdamped or critically damped. The overshoot, decay ratio, rise time, settling time and the period of oscillation was recorded if the systems are underdamped. The value of A was changed to 42.25 and the value of B also changed to 13. The simulation was repeated. The system was recorded and analyze whether the system is overdamped, underdamped or critically damped. The overshoot, decay ratio, rise time, settling time and the period of oscillation was recorded if the systems are underdamped.  Now the value of the K   p  was increased to 50.0 and the value of A and B was increased to 60.0 and 15.0. The simulation was repeated. The new steady state value and the length of time it takes for the output to reach the new steady state (sec) were recorded. For syestem identification problem, c lose the two windows by clicking the left mouse button on the upper left hand box of both windows and selecting Close. From the First and Second Order Systems Menu, the System Identification Problem 2 button was selected. After that, by using a step input, run the simulation to generate data that can be used to determine the system gain ( K   p ), the system time constant ( τ  P ) and the damping coefficient (ζ).  
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