What is the Input impedance of transmission line, when source frequency contains two frequency components

input-impedancepower-engineeringtransmission line

what is the Input impedance of transmission line, when source frequency contains two frequency components?

I know the expression of input impedance of a TL, but it assumes that only a single frequency component is present in the source. What if source is providing power having two frequency components?


attached is the figure
S1 and S2 are sources, l1,l2 are self inductance of coil and M is the mutual inductance. Zin1 and Zin2 are the input inpedance of TL.

S1 and S2 have diffrent frequency.

Best Answer

If your system is linear, you can analyze the behavior at each frequency seperately. You don't need to define a single input impedance that applies to both frequencies. You analyze the response to stimulus at \$f_1\$ using the input impedance at \$f_1\$, and you analyze the response to stimulus at \$f_2\$ using the input impedance at \$f_2\$.

Then you use the linearity of the system so that the response \$y\$ to the combined stimulus \$x_1+x_2\$ is just \$y(x_1+x_2) = y(x_1) + y(x_2)\$