Dynamics, transfer functions and control

stage · outline · 30 min

This page is a curriculum outline. Detailed lessons are still being developed.

Prerequisites: Steady-state converters

Purpose

This stage explains how converters move from “they convert power” to “they regulate power predictably.”

It is where learners connect circuits, dynamics, feedback, and design-oriented analysis.

Core Topics

  • averaged models and small-signal thinking
  • operating point, perturbation, and linearization
  • transfer functions and Bode plots
  • control-to-output, input-to-output, and output impedance
  • feedback loops, compensation, crossover frequency, phase margin, and gain margin
  • voltage-mode control, current-mode control, and digital control awareness
  • transient response, load steps, startup, and saturation
  • simulation workflows for control design

Must-Know Ideas

  • A converter has steady-state behavior and dynamic behavior.
  • Feedback improves regulation but can create oscillation if designed poorly.
  • A transfer function is a compact way to describe how one signal affects another.
  • Stability margins are practical design tools, not just math exercises.
  • Digital control adds sampling, delay, quantization, and firmware behavior.

Practice Projects

  • Plot a first-order and second-order Bode response in Python.
  • Simulate a converter open-loop and closed-loop.
  • Tune a simple compensator and observe load-step response.
  • Ask an AI tutor to explain phase margin using a non-math analogy, then verify with equations.

Exit Criteria

Before moving on, the learner should be able to:

  • explain why feedback is needed
  • read a Bode plot at a beginner level
  • describe gain crossover and phase margin
  • connect compensation changes to transient response
  • understand the basic purpose of averaged modeling

Continue: Magnetics and practical design

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