Transfer Function for Continuous-Mode Boost Converter

This Demonstration models the averaged transfer function of a continuous-mode boost power converter. The pole and zero locations are plotted on the complex plane, and the gain and phase are shown in the frequency domain. Note how the zero location changes as you vary the inductor current direction and magnitude.


  • [Snapshot]
  • [Snapshot]
  • [Snapshot]


The continuous-mode boost converter transfer function from duty cycle to output voltage contains a real zero along with a complex pole pair. The location of the zero changes with inductor current and is located in the right half of the complex plane when the power transfer is from input to output (this implementation has bidirectional current flow). The right half-plane zero (RHP zero) increases the gain and increases phase shift at the same time, making control stability challenging.
    • Share:

Embed Interactive Demonstration New!

Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details »

Files require Wolfram CDF Player or Mathematica.

Mathematica »
The #1 tool for creating Demonstrations
and anything technical.
Wolfram|Alpha »
Explore anything with the first
computational knowledge engine.
MathWorld »
The web's most extensive
mathematics resource.
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
interact with.
STEM Initiative »
Programs & resources for
educators, schools & students.
Computerbasedmath.org »
Join the initiative for modernizing
math education.
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Powered by Wolfram Mathematica © 2018 Wolfram Demonstrations Project & Contributors  |  Terms of Use  |  Privacy Policy  |  RSS Give us your feedback
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to Mathematica Player 7EX
I already have Mathematica Player or Mathematica 7+