Harmonic voltage source, how to calculate it

Question

I have this scheme.

I have all the parameters: L1=110 uH

C1=160 nF

C2=5 nF

Rt=1.2 kΩ

ω1=45290 rad/s

ω2=162089 rad/s

ω3=238366 rad/s

ω4=276982 rad/s

But I dont understand how to calculate the voltage source. I have this formula for it: So my job is to calculate \$ i_{2}^1 \$ in harmonic \$w_{1}\$, \$ i_{2}^2 \$ in harmonic \$w_{2}\$, \$ i_{2}^3 \$ in harmonic \$w_{3}\$, \$ i_{2}^4 \$ in harmonic \$w_{4}\$.

QUESTION: I don't get how to calculate this voltage source. I'm not sure how to replace sin(wt), what's the the time(t)?

Smells of XY - ultimately what are you trying to achieve with this question? — Andy aka, May 12 '20 at 13:42
Seems like it's not. I added all the info just to not waste time for any further questions, if it somehow happens. — Simeon Simeonov, May 12 '20 at 15:59
Do you want to know what $sin(\omega_n\cdot t)$ means? $\omega_{1-5}$ are not harmonics BTW. $i_2^4$ reads as the 4th power of $i_2$ - is that actually what you mean? — Andy aka, May 12 '20 at 16:05
What do you mean? I wasn't sure what to do the other harmonics when I replace the n-th one. Now I'm reading about how to calculate the current through components in sinusoidal circuits. It's not power, it's in brace, sorry i coudln't type it. $i_{2}^(4)$ — Simeon Simeonov, May 12 '20 at 16:23
Well, kinda expected it. Out of context btw. In my tasks it's written harmonic $w_{1-4}$ .. — Simeon Simeonov, May 12 '20 at 16:35

relayman357 · Accepted Answer · 2020-05-13T00:38:43.017

1

Use superposition and calculate each component of i2 individually. Each of the different frequency components of the source will be 5@0 degrees.

edited May 13 '20 at 00:38

answered May 12 '20 at 13:46

relayman357

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Harmonic voltage source, how to calculate it

1 Answers1