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May 28, 2023 at 14:47 vote accept Granger Obliviate
May 20, 2023 at 13:36 comment added periblepsis Never mind. It's the C1 C2 problem again.
May 20, 2023 at 13:13 comment added periblepsis Your Kp also seems to have a problem. It doesn't seem to have a difference of zero with what I come up with. It should, of course, but it doesn't. I'll have to spend a little time to see exactly why. (I'm taking into account the -1 power.)
May 20, 2023 at 13:03 comment added periblepsis Okay. Thanks. (Doesn't look updated yet to me but your point is still taken.) Then I will proceed spending some more time. Just wanted to be sure.
May 20, 2023 at 12:36 comment added Granger Obliviate Hi @periblepsis, around 5-10 minutes ago I have updated my solution. Yes in my Q value the capacitors are swapped although, as they are equal and always appear on a ratio it does not affect the result.
May 20, 2023 at 12:29 history edited Granger Obliviate CC BY-SA 4.0
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May 20, 2023 at 12:25 comment added periblepsis I think I found a problem with your Q. Care to recheck your result? Last term, by the way. The other two look right to me.
May 19, 2023 at 21:44 answer added Tesla23 timeline score: 2
May 19, 2023 at 8:06 history edited Rohat Kılıç CC BY-SA 4.0
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May 19, 2023 at 7:58 answer added LvW timeline score: 2
May 19, 2023 at 5:32 history edited user319836 CC BY-SA 4.0
Equation delimiters
May 19, 2023 at 1:49 comment added Granger Obliviate Thank you. I will also move on writing some text. This is for my thesis and I have been stuck all week with the work to deliver at the end of the month, so I really need to move forward and stop hitting my head on the wall. Thank you in advance for your time and your help. There might be a design algorithm somewhere, I'll actually open a question asking. I know that here by dividing Kp with Q I am losing a degree of freedom and beta can't be arbitrarily chosen...
May 19, 2023 at 1:46 comment added periblepsis I'll take a look at it, then. Might not be immediate (today), though.
May 19, 2023 at 1:43 comment added Granger Obliviate @periblepsis this seems to be a very difficult problem, no one is being able to help, I don't know what to do.
May 18, 2023 at 2:51 comment added periblepsis The author claims (but doesn't demonstrate in the short letter) that sensitivity of Q to components in the filter is minimized by setting the two capacitor values to the same value. (I don't want to bother with the differential equations right now to confirm the claim.) So I can see why your approach (or that gathered up from someone else writing on the topic) of setting the two capacitor values to be the same may be a correct part of the algorithm. I'll add a +1. Maybe someone will save us both some time.
May 18, 2023 at 2:44 comment added periblepsis By the way, I used the authors nomenclature for \$C_1\$ and \$C_2\$, which is the opposite of your writing. And I use his left-side naming of \$R_a=R_f\$ and \$R_b=R_g\$, where yours is on the right side. So if you want to use any of what I just wrote in the prior comment, you will need to look at his 1(c) schematic that I already posted to you above. I chose not to use your schematic, preferring his.
May 18, 2023 at 2:37 comment added periblepsis If I set \$\tau_{_0}=R_1\,C_2\$, \$\tau_{_1}=R_2\,C_1\$, \$\tau_{_2}=R_1\,C_1\$, & \$\eta=\frac{\tau_{_0}}{\tau_{_1}}+\frac{\tau_{_2}}{\tau_{_1}}-\frac{R_a}{R_b}\$. Then I get \$K_p=-\frac1{\eta}\left(1+\frac{R_a}{R_b}\right)\$, \$\omega_{_p}=\frac1{\sqrt{\tau_{_0}\,\tau_{_1}}}\$, \$\zeta=\frac12\eta\sqrt{\frac{\tau_{_1}}{\tau_{_0}}}\$, & \$Q=\frac1{\eta}\sqrt{\frac{\tau_{_0}}{\tau_{_1}}}\$. The author then sets \$r=\frac{R_1}{R_2}\$ & \$q=\frac{C_2}{C_1}\$ (using your naming, which is the opposite of his) and then moves on to define similar \$\tau\$ terms but using \$r\$ and \$q\$, instead.
May 18, 2023 at 2:29 comment added Granger Obliviate @periblepsis I am still not being able to figure this out, this is horrible
May 18, 2023 at 1:03 comment added periblepsis (Hmm. Just noted a mistake by the author. Or, at least it looks like one to me right now.)
May 18, 2023 at 0:40 comment added periblepsis Did you start out by reading "High-Q factor circuit with reduced sensitivity" by T. Deliyannis, 1968, from Electronics Letters, 4(26), 577? (It's what I'd do, anyway.) Note figure 1(c) from the paper.
May 17, 2023 at 23:54 history asked Granger Obliviate CC BY-SA 4.0