Activity 5

Name: Course and Year:EE 179.1 Section: Laboratory Schedule:

EE 179.1 Activity 5: Time Response

1 Introduction<Short Discussion on Time response. Include citations and add your references in the last section>

2 Objectives To be able to find the time response from a transfer function and show the system

performance specifications.

To be able to show the time response and the characteristics of the system response in

simulations.

To be able to obtain the model of the system given the time response.

3 Materials1- 1.5KΩ Resistor

1- 0.1µF Capacitor

1- 400mH Inductor

Breadboard

Jumper wires

Digital Oscilloscope

Power Supply

Computer with Scilab

4 DeliverablesGraphs/plots

Scripts

This Document

1


5 Pre-Lab Exercises

Figure 1. Schematic Diagram

1. Find the transfer function of the circuit in figure 1 if R1 = R2 = 10KOhm and C1 = C2 = 10uF.

____________________2. Using Scilab, create a short script to show the following from your transfer function and

answer the following:a. Damping Ratio =b. Natural Frequency =c. Peak Time =d. Rise Time = e. % Overshoot =f. Settling Time =

3. Using scilab, identify the zeros and poles of the system and plot them.Zeros:Poles:

4. Using Scilab, show the plot of the system with a step input. You may use csim() function to plot the response of the transfer function when there is a 5V step input. This is just like plotting the voltage of the circuit when SW1 is closed.

6 Lab ExerciseConstruct the circuit shown in Figure 1. Initially, SW1 should be open. To ensure that there

are no stored charges in the capacitors, short their pins momentarily before inserting to the circuit.

You may attach switches in parallel with the capacitors to discharge them without removing them.

Using an oscilloscope, check the output voltage (Vo) with respect to ground when the switch is

closed. V1 = 5V. Channel 1 of the oscilloscope is connected to the switch 1 and R1 junction.

Channel 2 is connected to R2 and C2 junction.

Make sure the capacitors are empty when you close the switch. Configure the oscilloscope so

that you can see the transient response in high resolution. This may require some trial and error.

2


Empty the capacitors, close the switch, and observe the response in the oscilloscope. Pause the

scope when you see that the response is almost steady. Use the knob to zoom in and adjust the

horizontal position to see the transient response. If the oscilloscope has a storage option, store the

samples in the USB flash drive as CSV file and open the CSV and store the data to an array in

Scilab.

From the oscilloscope or scilab plot of the samples, find the following:

a. Damping Ratio =b. Natural Frequency =c. Peak Time =d. Rise Time = e. % Overshoot =f. Settling Time =

Based on the above data, find the transfer function for the actual circuit.

_______________________

Show also the poles and the zeros of this transfer function.

Zeros:

Poles:

7 Questions1. Compare the parameters from the pre-lab and the experiment.

2. Plot the two responses and compare.

3. Plot the poles and zeros of both pre-lab and actual circuit. Compare the two plots.

4. Compare the two transfer functions you got. Do the two transfer functions have similar

responses? Why?

8 Conclusion

9 References

3

Documents

Activity 5