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Q&A Duty cycle of buck-boost converter

I have the following problem: - Using Wikipedia I find that during CCM we have the relation: - $$\frac{V_{out}}{V_{in}} = -\frac{D}{1-D} $$Solving for $D$ and inserting values gives me $$D...

2 answers  ·  posted 2y ago by Carl‭  ·  edited 1y ago by Lorenzo Donati‭

#3: Post edited by user avatar Lorenzo Donati‭ · 2023-08-10T16:02:50Z (about 1 year ago)
Retagged.
#2: Post edited by user avatar Carl‭ · 2022-03-13T14:18:21Z (over 2 years ago)
  • I have the following problem: -
  • >![Image alt text](https://electrical.codidact.com/uploads/5mvBEaX8abL6hiHLuPjPFZYx)
  • Using Wikipedia I find that during CCM we have the relation: -
  • $$\frac{V_{out}}{V_{in}} = -\frac{D}{1-D} $$
  • Solving for \$D\$ and inserting values gives me
  • $$D=\frac{20\text{V}}{20\text{V}-24\text{V}} = -5 $$
  • But this doesn't seem to make sense. First of all, the duty cycle is negative... Second the duty cycle is **more** than 100%!
  • Why do I get this erroneous result?
  • I have the following problem: -
  • >![Image alt text](https://electrical.codidact.com/uploads/5mvBEaX8abL6hiHLuPjPFZYx)
  • Using Wikipedia I find that during CCM we have the relation: -
  • $$\frac{V_{out}}{V_{in}} = -\frac{D}{1-D} $$
  • Solving for \$D\$ and inserting values gives me
  • $$D=\frac{20\text{V}}{20\text{V}-24\text{V}} = -5 $$
  • But this doesn't seem to make sense. First of all, the duty cycle is negative... Second the duty cycle is **more** than 100%!
  • Why do I get this erroneous result?
  • **EDIT**
  • Turns out I used the wrong formula. Using the formulas given by my instructor for the course: -
  • ![Image alt text](https://electrical.codidact.com/uploads/3nvFSVwSiYn4W7JSFVrbzuv5)
  • yields \$d=0.454545 \$
#1: Initial revision by user avatar Carl‭ · 2022-03-13T07:27:48Z (over 2 years ago)
Duty cycle of buck-boost converter
I have the following problem: -

>![Image alt text](https://electrical.codidact.com/uploads/5mvBEaX8abL6hiHLuPjPFZYx)

Using Wikipedia I find that during CCM we have the relation: -

$$\frac{V_{out}}{V_{in}} = -\frac{D}{1-D} $$

Solving for \$D\$ and inserting values gives me

$$D=\frac{20\text{V}}{20\text{V}-24\text{V}} = -5 $$

But this doesn't seem to make sense. First of all, the duty cycle is negative... Second the duty cycle is **more** than 100%!

Why do I get this erroneous result?