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SteadyͲState LargeͲSignal Analysis 0 ାଵ ୀଵ In steadyͲstate, ܫെෑ ାଵ ୀଵ Gives explicit solution for steadyͲstate operation of any switching circuit Small Signal Modeling

Steady rState Large Signal Analysisweb.eecs.utk.edu/.../ECE581/Fall2020/lectures/L41_slides.pdf · 2020. 11. 20. · Complete Small Signal Model This completes the small rsignal model

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Page 1: Steady rState Large Signal Analysisweb.eecs.utk.edu/.../ECE581/Fall2020/lectures/L41_slides.pdf · 2020. 11. 20. · Complete Small Signal Model This completes the small rsignal model

Steady State Large Signal Analysis

0In steady state,

Gives explicit solution for steady state operationof any switching circuit

Small Signal Modeling

Page 2: Steady rState Large Signal Analysisweb.eecs.utk.edu/.../ECE581/Fall2020/lectures/L41_slides.pdf · 2020. 11. 20. · Complete Small Signal Model This completes the small rsignal model

Small Signal Modeling

Small Signal Modeling

Page 3: Steady rState Large Signal Analysisweb.eecs.utk.edu/.../ECE581/Fall2020/lectures/L41_slides.pdf · 2020. 11. 20. · Complete Small Signal Model This completes the small rsignal model

Complete Small Signal ModelThis completes the small signal model

where

with in steady state

Example Results Ts/2

L. Corradini et. al. Digital Control of High Frequency Switched Mode Power Converters, Section 3.2

Ts/10

Averaged ModelDT Model

* Includes td=760ns ofdelay in feedback loop

Page 4: Steady rState Large Signal Analysisweb.eecs.utk.edu/.../ECE581/Fall2020/lectures/L41_slides.pdf · 2020. 11. 20. · Complete Small Signal Model This completes the small rsignal model

Inclusion of Delay

Averaged Model with DelayDT Model

L. Corradini et. al. Digital Control of High Frequency Switched Mode Power Converters, Section 3.2

Current Control

L. Corradini et. al. Digital Control of High Frequency Switched Mode Power Converters, Section 3.2

Averaged ModelDT Model

Page 5: Steady rState Large Signal Analysisweb.eecs.utk.edu/.../ECE581/Fall2020/lectures/L41_slides.pdf · 2020. 11. 20. · Complete Small Signal Model This completes the small rsignal model

Discrete Time Analysis: Results

• Valid for any switched circuit, as long as1. Inputs, , are constant or slowly varying2. All times are known3. Every subinterval can be described by a linear circuit

• Requires no dedicated analysis other than finding and• Decisively not a design oriented equation