EMC Task 3: Common-mode current and differential-mode current
In this recording of a live-streamed exercise within the electromagnetic compabitility module, we discussed the solution of Task 3 about common-mode and differential-mode current from our exercise booklet.
Notes: https://cloud.ovgu.de/s/n7eefRPrqXtiJqk
Exercise booklet:
print version: https://cloud.ovgu.de/s/PTfXwD74kwbYaYM
smartphone version: https://cloud.ovgu.de/s/KKoQeBJdimFzwWg
GNU Octave commands:
I_dm=200e-3*exp(1j*50/180*pi)
I_cm=25e-3*exp(1j*150/180*pi)
I_1=I_cm/2+I_dm
I_2=I_cm/2-I_dm
abs(I_1)
abs(I_2)
angle(I_1)*180/pi
angle(I_2)*180/pi
f
f=50
omega=2*pi*f
T=1/f
1);
i_dm=200e-3*cos(omega*t+50/180*pi);
i_cm=25e-3*cos(omega*t+150/180*pi);
i_1=i_cm/2+i_dm;
i_2=i_cm/2-i_dm;
figure(1)
plot(t,i_1,t,i_2,t,i_dm,t,i_cm)
grid on
xlabel('time in s')
ylabel('current in A')
legend({'i_1','i_2','i_{dm}','i_{cm}'})
figure(2)
plot(t,i_dm,t,0.99*abs(I_dm)*cos(omega*t+angle(I_dm)))
grid on
xlabel('time in s')
ylabel('current in A')
figure(3)
plot(t,i_cm,t,0.99*abs(I_cm)*cos(omega*t+angle(I_cm)))
grid on
xlabel('time in s')
ylabel('current in A')
-419+360
Chapter marks:
00:00 Explanation of the task
01:08 Solution using complex phasors
09:07 Numerical calculation in time domain
13:25 Comparison between time- and frequency-domain solution
15:55 Solution in ChatGPT