MATLAB: What is the reason for getting multiple lines at v=-1.5 and v=1.5 for t=0:0.1:10*pi in the code

Question

Hi all,

At t=0:0.1:10*pi,

I am getting multiple lines at v=1.5 and v=-1.5 when I tried to plot for

voltage versus current when I run my code.

But If I increase the sampling interval, multiple lines occuring at v=1.5 and v=-1.5 are eliminated.

For eg,

For t=0:0.00001:10*pi

I want to reason behind the occurence of multiple lines for t=0:0.1:10*pi.

Can anyone help me.

Thanks.

I attached my code below,

clc;
clear all; 
close all;
w=1;
M1=2e6;
M2=2e9;
t=0:0.1:10*pi;
M = M2;
for i=1:length(t)
  v(i)=2*sin(w*t(i));
  if (v(i)>=1.5)
         M = M1;
  elseif (v(i)<=-1.5)
         M = M2;
  end
  I(i)= v(i)/M; 
end
figure(1)
plot(t, v,'r');
hold on;
plot(t, I*1000000,'b');
legend('voltage','current','Location','northeast');
title('Voltage & Current vs time')
grid on;
figure(2)
plot(v, I);
title('Voltage vs Current');
xlabel('Voltage');
ylabel('Current');

Answer 1

The reason is that your values of v are not sorted. The values of v go back and forth from high ones to low ones, and MATLAB is drawing the lines between each consecutive point in the array (but these are not contiguous on your plot).

Try sorting v (and keeping I sorted along with it), for example like this:

[vSorted,sortIndex] = sort(v);
figure(2)
plot(vSorted, I(sortIndex));
title('Voltage vs Current');
xlabel('Voltage');
ylabel('Current');