Polar Plot: Questions for Practice

Video  link for polar plot
https://www.youtube.com/watch?v=vZVaHxicUdY
1. Sketch the Polar plot for the following functions:

1. G(s) = 1/(1+s)
2. G(s) = 10/s(1+s)
3. G(s) = 8/(s+1)(s+2)
4. G(s) = 14/s(s+1)(s+2)
5. G(s) = (1+6s)/(1+2s)

Appr. Sketches to above   functions 

2. What is Polar plot? Write steps to plot Polar plots.
3. Write applications of Polar plots.

Note: Read the notes provided to you today in your group and if any doubts/confusion you can comment/ Call and email me.
Hope for your safe and healthy life

With Best wishes
jitender

Polar Plots

Students are  required to see the video related to polar plot posted already in this blog

•The Polar plot of a sinusoidal transfer function  is a plot of the magnitude of  versus the phase angle of  on polar coordinates as  is varied from zero to infinity. An advantage of using polar plot is that it depicts the frequency response characteristics of a system over the entire frequency range in a single plot.

Steps to draw Polar Plot 

Example

Scilab Prog : Second Order: effect of addition of zeros and poles

Note:  Students are advised to plot the result with different values and write discussions also in each case

Scilab Prog: To study of effect of addition of zeros and poles to the forward path transfer function of a closed loop system

clc;

clf;

s=%s;

T=syslin('c',1,s+1);//Transfer function of a closed loop system.

P=syslin('c',1,s+2);// A pole at s=-2.

Tf=T*P;// Addition of a pole at s=-2 to the transfer function.

t=0:0.1:10;

Y1=csim('impulse',t,Tf);

Z=syslin('c',s,1);// A zero at s=0.

Tf1=T*Z;// Addition of a zero at s=0 to the transfer function.

Y2=csim('impulse',t,Tf1);

subplot(231);

plzr(T);

subplot(232);

plzr(Tf);

subplot(233);

plzr(Tf1);

subplot(234);

title('Addition of pole at s=-2 to the tf=1/(s+1)','fontsize',3);

plot(t,Y1);

xlabel('t','fontsize',3);

ylabel('Y(t)','fontsize',3);

subplot(235);

title('Addition of zero at s=0 to the tf=1/(s+1)','fontsize',3);

plot(t,Y2);

xlabel('t','fontsize',3);

ylabel('Y(t)','fontsize',3);

Note : Students are advised to write discussion yourself i.e. what are you getting information from the plots.

Scilab Prog: Bode, Nyquist and root locus

Scilab Prog:  Bode, Nyquist and   Root locus Plot

For Practical File PDF/Docs ()

First Page:(Front Page)   

You can prepare according to you but is should have  at-least following informations

• Name: 
• Class:
• Course: 
• Sem: 
• Year of Admission
• Roll No:   College  And University

...........................................................................................................................................

Second Page

Index/Contents

 S.NO.                   Name of the Program                                               Page Number

............................................................................................................................................

From the third Page prog.

..........................................................................................

Aim/Prog:

Software Used:  SciLab    5.3.0

Theory:              (Brief)

Coding:            (Scilab Coding Images)

Plots:               (Scilab Plots Images)

Calculations if any:

Results:

Discussions: 

References  :  

..................................................................................................

If any other queries  you can call  me anytime  , I will  explain and put them  on this blog.

Stay at home to protect you and your family

 with best wishes

Jitender

BCAS, Dwarka

Scilab Prog: To plot time response of a system with impulse input

Answer to query raised by a student from already given practical list  in the class  ( JAN  2020)

Plot the same for the following  TFs

1. C(s)/R(s) =   (s+1)/[s(s^2+2s+5)]
2. C(s)/R(s) =   (s^2+1)/[s(s^3+2s^2+5s+1)]

   Note: From these plots also explain either the system is stable  or not