Homework Answers
L = lag = 15 seonds aproximately.
R = Reaction rate = slope = A/T = 30/20 = 1.5 approximately.
Ziegler-Nichols PID parameters are given by
Kp = 1.2/ RL = 1.2 / (1.5*15) = 0.0533
Ti = 2L = 2*15 = 30
Td = 0.5L = 0.5*15 = 7.5
The derivative gain is given by
Kd = Kp * Td = 0.0533*7.5 = 0.4 approximately.
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uestion 14 The reaction curve for a heating process is shown below. Using the graph shown and the open loop Ziegler Find Kd for the PID controller Nichlos method 40 Input Step change 20 10 0 10 2...
a) Moving to another question will save this response. Question 5 The reaction curve for a heating process is shown below. Using the graph shown and the open loop Ziegler Nichlos method, find the...
a) Moving to another question will save this response. Question 5 The reaction curve for a heating process is shown below. Using the graph shown and the open loop Ziegler Nichlos method, find the dead time td 40 Input Step change 20 10 0 10 20 30 4050 Time (sec)
a) Moving to another question will save this response. Question 5 The reaction curve for a heating process is shown below. Using the graph shown and the open loop Ziegler...
QUESTION 13 L05 The reaction curve for an open loop Ziegler - Nichlos method to tune...
QUESTION 13 L05 The reaction curve for an open loop Ziegler - Nichlos method to tune a process in the industry is shown in figure 13. determine the dead time? Step change 40 --- Process variable 50 200 250 100 150 Time (sec) Figure 13 Reaction curve for a process QUESTION 14 LO5 From the graph in figure 13 determine the reaction rate? QUESTION 15 L05 From the graph in figure 13 determine the amplitude of the steady-state Km? QUESTION...
For the open loop response shown, find the ZN tuning parameters assuming that the step response...
For the open loop response shown, find the ZN tuning parameters assuming that the step response change is 10. pR 1.8 1.6 1.4 Assume step response amplitude change 10 A step response 10 1.2 0.8 0.6 APV 0.4 0.2 -0.2 0 1 23 4 5 7 Te d 11 13 15 17 19 From the process reaction curve determine the dead time, td, the time constant or time for the response to change, Tm, the ultimate value that the response...
In 1942, Ziegler and Nichols published a classic paper that introduced the continuous cycling method and the step t...
In 1942, Ziegler and Nichols published a classic paper that introduced the continuous cycling method and the step test method for PID controller tuning. 3. (a) What are the other two ways to tune a PID controller? What are the advantages and disadvantages for the two methods? (10 marks) (b) A step test was carried out on an electrical oven. Using the data in Table Q3, process the reaction curve in Figure Q3 and produce the tuning parameters for a...
I required to design a PID controller that has overshoot less than 10% with minimise rise...
I required to design a PID controller that has overshoot less
than 10% with minimise rise time, settling time, peak time and
steady-state error.
The transfer function of the plant is shown below:
and the step response of the open loop system by using unit-step
is shown below:
Then I have designed my PID controller by referring to the
example from Modern Control Engineering 5th Edition by Katsuhiko
Ogata page 572 by using Ziegler Nichols 2nd Method.
I get Kcr...
Question9 The system response for the closed loop Ziegler From the graph find the critical period Pcr? Nichlos is shown below. Using the graph shown and the ZN formulas : 45 Constant amplitude os...
Question9 The system response for the closed loop Ziegler From the graph find the critical period Pcr? Nichlos is shown below. Using the graph shown and the ZN formulas : 45 Constant amplitude oscillation 40- 9 35 Kcr 50 30 0 100 200 300 400 Time (sec)
Question9 The system response for the closed loop Ziegler From the graph find the critical period Pcr? Nichlos is shown below. Using the graph shown and the ZN formulas : 45 Constant amplitude...
awarded) Using the Reaction Curve Loop Tunning method for full PID controller. What is the recommend Kc, you mus...
awarded) Using the Reaction Curve Loop Tunning method for full PID controller. What is the recommend Kc, you must supply your calculation Student Answer Q1.9 (2 marks) A1.9 F1.9 Assessor Feedback (marks awarded) What is the recommend Ti? You must supply your calculation. (2 marks) 1.10 Student Answer A 1.10 (marks awarded) Assessor Feedback F 1.10 (2 marks) What is the recommend Td, you must supply your calculation 1.11 Student Answer A 1.11 (marks awarded) Assessor Feedback 1.11 Flow Process...
With an amplitude of 10 using a step input function what will the open loop steady...
With an amplitude of 10 using a step input function what
will the open loop steady state error?
0, 2, 5, or 10?
Where would the zero be located if a PD controller is
used and a desired rise time of 260 ms and percent overshoot of 5%
is desired?
-40, -30, -25, -20
The plant is then modified so that G(s) = .95(s+15) with
a step function input of amplitude 2, what will the static error
coefficient be?
unity...
Response with lines drawn is shown as the second graph, both graphs are the exact same. ANSWER PART (a) open-loop tr...
Response with lines drawn is shown as the second graph, both
graphs are the exact same.
ANSWER PART (a)
open-loop transient response A PID controller for a process is to be tuned by carrying out an test. The system control temperature varies from 25 °C to 300 °C with a 200 °C setpoint. The output of the PID controller is a heater control voltage ranging from 0 VAC to 240 VAC. The test is started by having a 150 VAC...
Response with lines drawn is shown as the second graph, both graphs are the exact same. ANSWER PART (a) open-loop tr...
Response with lines drawn is shown as the second graph, both
graphs are the exact same.
ANSWER PART (a)
open-loop transient response A PID controller for a process is to be tuned by carrying out an test. The system control temperature varies from 25 °C to 300 °C with a 200 °C setpoint. The output of the PID controller is a heater control voltage ranging from 0 VAC to 240 VAC. The test is started by having a 150 VAC...
a) Moving to another question will save this response. Question 5 The reaction curve for a heating process is shown below. Using the graph shown and the open loop Ziegler Nichlos method, find the dead time td 40 Input Step change 20 10 0 10 20 30 4050 Time (sec)
a) Moving to another question will save this response. Question 5 The reaction curve for a heating process is shown below. Using the graph shown and the open loop Ziegler...
QUESTION 13 L05 The reaction curve for an open loop Ziegler - Nichlos method to tune a process in the industry is shown in figure 13. determine the dead time? Step change 40 --- Process variable 50 200 250 100 150 Time (sec) Figure 13 Reaction curve for a process QUESTION 14 LO5 From the graph in figure 13 determine the reaction rate? QUESTION 15 L05 From the graph in figure 13 determine the amplitude of the steady-state Km? QUESTION...
For the open loop response shown, find the ZN tuning parameters assuming that the step response change is 10. pR 1.8 1.6 1.4 Assume step response amplitude change 10 A step response 10 1.2 0.8 0.6 APV 0.4 0.2 -0.2 0 1 23 4 5 7 Te d 11 13 15 17 19 From the process reaction curve determine the dead time, td, the time constant or time for the response to change, Tm, the ultimate value that the response...
In 1942, Ziegler and Nichols published a classic paper that introduced the continuous cycling method and the step test method for PID controller tuning. 3. (a) What are the other two ways to tune a PID controller? What are the advantages and disadvantages for the two methods? (10 marks) (b) A step test was carried out on an electrical oven. Using the data in Table Q3, process the reaction curve in Figure Q3 and produce the tuning parameters for a...
I required to design a PID controller that has overshoot less
than 10% with minimise rise time, settling time, peak time and
steady-state error.
The transfer function of the plant is shown below:
and the step response of the open loop system by using unit-step
is shown below:
Then I have designed my PID controller by referring to the
example from Modern Control Engineering 5th Edition by Katsuhiko
Ogata page 572 by using Ziegler Nichols 2nd Method.
I get Kcr...
Question9 The system response for the closed loop Ziegler From the graph find the critical period Pcr? Nichlos is shown below. Using the graph shown and the ZN formulas : 45 Constant amplitude oscillation 40- 9 35 Kcr 50 30 0 100 200 300 400 Time (sec)
Question9 The system response for the closed loop Ziegler From the graph find the critical period Pcr? Nichlos is shown below. Using the graph shown and the ZN formulas : 45 Constant amplitude...
awarded) Using the Reaction Curve Loop Tunning method for full PID controller. What is the recommend Kc, you must supply your calculation Student Answer Q1.9 (2 marks) A1.9 F1.9 Assessor Feedback (marks awarded) What is the recommend Ti? You must supply your calculation. (2 marks) 1.10 Student Answer A 1.10 (marks awarded) Assessor Feedback F 1.10 (2 marks) What is the recommend Td, you must supply your calculation 1.11 Student Answer A 1.11 (marks awarded) Assessor Feedback 1.11 Flow Process...
With an amplitude of 10 using a step input function what
will the open loop steady state error?
0, 2, 5, or 10?
Where would the zero be located if a PD controller is
used and a desired rise time of 260 ms and percent overshoot of 5%
is desired?
-40, -30, -25, -20
The plant is then modified so that G(s) = .95(s+15) with
a step function input of amplitude 2, what will the static error
coefficient be?
unity...
Response with lines drawn is shown as the second graph, both
graphs are the exact same.
ANSWER PART (a)
open-loop transient response A PID controller for a process is to be tuned by carrying out an test. The system control temperature varies from 25 °C to 300 °C with a 200 °C setpoint. The output of the PID controller is a heater control voltage ranging from 0 VAC to 240 VAC. The test is started by having a 150 VAC...
Response with lines drawn is shown as the second graph, both
graphs are the exact same.
ANSWER PART (a)
open-loop transient response A PID controller for a process is to be tuned by carrying out an test. The system control temperature varies from 25 °C to 300 °C with a 200 °C setpoint. The output of the PID controller is a heater control voltage ranging from 0 VAC to 240 VAC. The test is started by having a 150 VAC...
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