Average Model of Boost Converter, Transfer Function Derivation w/ Helper Files -- [ep. 01]
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- Опубликовано: 19 окт 2024
- This video provides a very brief overview of the Boost Converter average model. This concise video is intended for those who already have some working knowledge of electrical engineering and power electronics. Please feel free to ask questions in the comments! Videos with more advanced methods to follow!
** The transfer function should include the Rout term -- thanks to Diego Machuca for pointing out my error. I will fix the equations in the downloadable PDF below.
Link to Downloads: drive.google.c...
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I don't think I can thank you enough, I was lost until I came across your video. Thanks! Although, I didn't really understand why you didn't take into account Rout for finding the transfer function.
Diego! I'm so glad that this helped you!!
I looked into what you were saying about Rout... I made a mistake! The two superposition equations with Vout=0 and IL=0 should also include Rout, and the final transfer function should, consequently, include Rout as well! I will update the solution on the downloadable PDF as soon as possible. Thanks for pointing this out!
This video is a gem. Thank you for all the hardwork. From a dying PhD student.
WOW! This is really great content. You have to understand I am purely a novice here but I am gaining WISDOM! I thank you!!!!!
You have a FRESH take on something that has felt STALE to me!!!! Thank you, seriously! Glad to have subscribed.
Welcome aboard, Ms. Sisko.
you're the best and I have literally just created youtube channel to make comment and say thank you :d
Wow thanks so much! Glad this helped you!
Hi Spencer first off there is only one word to describe this video and that is "beautiful".I do have a question though, I am performing steady-state analysis for a multiple-input DC-DC converter to get the steady-state equations and then I want to perform small signal analysis. The converter has three switching states instead of 2, to derive the steady-state equations do I do the same process i.e:
1) Perform circuit analysis and get the voltage equations for the inductor and current equations in each of the three switching states. (I do have more than one inductor and capacitor though)
2) Use the cap charge and voltage second balance and this time add the values for the three states together
3)Insert the hat terms and perform small signal analysis.
I would love to have your feedback, and if you are interested in seeing the topology I would love to send it to you. Please advise.
thanks for the explanation! it was very helpfull
You're welcome! I'm glad it helped you!
Hey! Thanks for the video.
Why did you assume that Vhat_{in} = 0 when you do superposition?
U did great anything like this for the Vienna rectifier PFC
Sorry, nope!
Have you got any progress?? it is a difficult converter to model (Modeling and control of VIENNA rectifier a single phase approach ),I'm trying to modelate just a boost dc dc first and then I'll go for the VIENNA , if you are working on this paper it can be useful ¡¡ I'm working as well to get the model
@@josevicente-nl8zv yeah, I did it based on the paper in IEEE.
"Average Modeling and Control Design for
VIENNA-Type Rectifiers Considering the DC-Link Voltage Balance"
By:
Rixin Lai, Student Member, IEEE, Fei (Fred) Wang, Senior Member, IEEE, Rolando Burgos, Member, IEEE, Dushan Boroyevich, Fellow, IEEE, Dong Jiang, and Di Zhang, Student Member, IEEE
Thank you.
Dear friend, Thank you for your detailed solution. I think you have a mistake in the derivation of Gvd. In the nominator it has to be +Rout*Dprim*Vout and NOT -Rout*Dprim*Vout. This I clam with respect to Fundamentals of power electronics 2020 edition, page 759. Waiting for your response.
Mike! Thanks for the critique. Family life has been crazy for me recently and I've been tied up. I will get back to you on this as soon as possible!
Please how I can obtain on the transfer function of (Vc/d) and (iL/d) with small signal average mode.
Do you have an episode for a cascaded boost converter with a single switch?
Thank you for your lecture. But I don't know what if rL=0, because I can't run with matlab code in this case. Hope you can explain it to me. Thank you so much
Hey spencer, Its an amazing video. I have a small question what is the physical difference of the D and d. As D is also the duty cycle and d is also the duty cycle what is the difference.
Hi Anuj! D is the physical duty cycle (0
@@THEspenc2020 Thank you so much for the reply. I just feel so dumb in this, i can see it but i cannot reason it. Do you have a video explaining this. I just don't know where to find the information. Can you please suggest me something.
Don't feel dumb! This is very difficult stuff, and it took me many years to really understand it. Give yourself some time, my friend! I recommend a book called "Fundamentals of Power Electronics, Second Edition." Chapter 7 is where the small signal modeling begins, and it will walk you through the things I am talking about in this video if you want more detail!
@@THEspenc2020 Hi there Spencer, I've tried the transfer function Gvd(s) from the book that you suggested and from others and there's a difference on the phase with the bode that it is on the video . Have you got in account the zero that is on the positive half plane (1-s/wz) or (1+s/wz) , I told you this because when I change the position of the zero from (1-s/wz) to (1+s/wz) my bode it the same that you showed on the video ,but boost converter has a zero on (1-s/wz).
I'd be very grateful if you can aswer this, I'm trying to modelate properly this converter for a thesis any help it would be more that appreciated
Hi Jose! I don't really have time to look into this right now, but I suggest going by the book. These videos are a passion project that I put together in spare time, and others have also pointed out errors. It's not unlikely that I made a mistake or two, so if there's a discrepancy I suggest going by the books! If I ever get time to go back over these things and check for errors then I'll be happy to post an update!
How can this transfer be used to design the controller.
If I would like to consider rc for the capacitor, I don't see any problem to continue using that 4 basic equations defined for D and D'. And so the small signals equation and the average steady state DC equations. Can I continue to use the "combined" small signals circuitry and just replace 1/sC with (1/sC + rc) when calculating Vout?
Would have to look to be sure, but I believe so, yes!
Hi where can I find the steady state solution for buck boost converter?
why you have mentioned - (minus) sign in Vout in super position theorem in downloadable file in page number 2 ? please tell me. I am confused
I'm unsure which minus sign you're referring to?
@@THEspenc2020 𝑉𝑜𝑢𝑡 = 0, 𝑣̂𝑖𝑛 = 0 𝑣̂𝑜𝑢𝑡 = − ((
𝑟𝐿 + 𝑠𝐿/𝐷′2) ||1/𝑠𝐶 ||𝑅𝑜𝑢𝑡) 𝑑̂𝐼
here in this above equation, why minus sign comes in the beginning? You have mentioned it in the document. pls explain.
@@Leelavathiees Hi, could you understand why minus comes?
Hello, Can I ask some question about matlab in boost
Sure!
Contact me on twitter: @_SpencerCochran
@@THEspenc2020 I add you