Hi Gremlin,
I don't think Tony "jumped" into that answer for I1, I certainly didn't, and if he did I'm curious too! o_O
Have you actually tried expressing your answers from a) (v=...) as their currents I1 and I2? And then substituting them back into the answers from a)?
Have a go at it and show...
Going back to the calculation of the THD -
Why wouldn't you take the RMS of 16? The question states that I_1 is the RMS value of the fundamental current. Is the 16^2 a peak value or is it already an RMS value? I would have assumed it was peak. The same with I_2 and I_3.
I am getting ...
Ok I have managed to get the correct results, after correcting the substitution to 1-n and rewriting the expression. Thanks for your help!
I now have simplified the expression as much as I can to...
Ok yes, got it, thanks for that! I can see how a_{1}=-\frac{v}{pi}. Sadly I haven't had a time today to check my expression, but I will tomorrow, I'm sure I will find the mistake!
Thanks again
EL
Thanks for the continual effort SammyS!
The corrected final term is
\displaystyle \frac{V}{2\pi}\Bigg[\frac{2n\cos(n\pi)+2\sin(n\frac{\pi}{2})-2n\cos(n2\pi)-2\sin(n\frac{3\pi}{2}))}{n^2-1}\Bigg]
Matlab simplifys this to \frac{2\, v\, \sin\!\left(\frac{n\, \mathrm{pi}}{2}\right)\, \left(2\...
Homework Statement
I am trying to work out the Fourier coefficient a_{n}for :
This question has been asked in a previous thread HERE
Homework Equations
The Attempt at a Solution
\displaystyle a_{n} = \frac{V}{\pi}\int_{\frac{\pi}{2}}^{\pi}\sin(\omega t)\cos(n\omega t) \delta\omega t +...
Hi SammyS,
I got the - \frac{2\, \sin\!\left(\frac{3\, n\, \mathrm{pi}}{2}\right)}{\left(n^2 - 1\right)} from simplifying the previous part of the expression \frac{\sin\!\left(\frac{3\, n\, \mathrm{pi}}{2}\right)}{\left(n + 1\right)} - \frac{\sin\!\left(\frac{3\, n\...
This is the example I am following about the a1 being indeterminate...
Here is the first leg of the calculations : \displaystyle a_{n} = \frac{V}{\pi}\int_{\frac{\pi}{2}}^{\pi}\sin(\omega t)\cos(n\omega t) \delta\omega t + \frac{V}{\pi}\int_{\frac{3\pi}{2}}^{2\pi}\sin(\omega t)\cos(n\omega...
Hi BvU,
The wolfram link I gave is just for the a_{n}. It is indeterminate at a_{1} and zero for all even numbers thereon. This is fine and to be expected. I have not got round to starting b_{n}, I would like to get a_{n} to a workable expression( of n) first. At this moment I am not concerned...
Homework Statement
I am trying to work out the Fourier coefficient a_{n} for :
Mathematics is not my strong point and I would appreciate some help. The answer that wolfram spits out it lovely and neat and I am struggling to get my answer to it.
Homework Equations
The Attempt at a...