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-MFra-21-Topaz II
21-Topaz II
March 13, 2023
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  • March 13, 2023
  • 1 reply
  • 2130 views

Hello everyone!
I reworked a worksheet presented by a member of the community I think in 2018 related to the solution of a system of algebraic differential equations with a periodic sawtooth excitation function. I find quite different results depending on how the excitation function is defined. I wonder who's wrong. I enclose the version presented by the member (.mcdx) and my own (dae + 13032023.xmcd).
I await your opinion.

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Best answer by ttokoro

Make Fourier series of input current wave form.
Get each transient response by inverse Laplace.

Add all response and you can get the answer.

 

image.pngimage.pngimage.png

1 reply

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-MFra-21-Topaz IIAuthor
21-Topaz II
March 13, 2023

I apologize,

I have attached the wrong file. I am attaching the file that I meant to attach. In my version (dae + 13032023.xmcd), it is necessary to set the duty cycle equal to 9.091% and   d.sawth=1.1ms, so that there is correspondence between the two worksheets.

ttokoro
21-Topaz I
ttokoro21-Topaz I
21-Topaz I
March 15, 2023

Why is(t) not equal itot(t)? Kirchhoff's Current Law must true even at transient response.

 

image.png

t.t.
ttokoro
21-Topaz I
ttokoro21-Topaz I
21-Topaz I
March 15, 2023

Assuming current source as follows.

Transfer function of the circuit.

Output voltage of one to five cycles.

Current of each branch circuits. Their total is as same as input current source. 

image.pngimage.pngimage.pngimage.png

t.t.
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