u : A New Design Parameter That Yields 2-D Design Curves

• The solution spaces, when plotted against u, can be compressed into 2-D design curves.

• The design curves allow quick selection of circuit parameters.

Experimental Results

Rinn

Xinn

Rin

u

Xin

Analytical solutionsfor input impedance

Rearranged in terms of u 2-D solution curves

|Zin|n

∠Zinn

|Zin|n |Zin|n

∠Zinn ∠Zinn

Final Design curves

Rinn

Xinn

Measured Vin and IinRectifier implementation

Model vs. Implemented rectifier comparison

Experimental data confirming proposed design curves

∠Zinn|Zin|n

Design Example: 500V, 50mA, 25MHz rectifier with resistive Rin =50Ω

Parameter Definitions

A Design Methodology forClass-D Resonant Rectifier with Parallel LC Tank

Sanghyeon Park and Juan Rivas-DavilaStanford University Power Electronics Research (SUPER) Lab

Problem Statement

Schematic of the class-D rectifier

• Class-D resonant rectifier is

suitable for high-voltage high-

frequency ac-to-dc conversion.

• It lacks systematic design

approach.

• Nonlinear diode junction

capacitance makes it difficult to

apply analytical solution.

• Designers have been relying on

time-consuming parametric

sweep.• From design curves, look up Xin and u that correspond

to Rin of 50 Ω

Xin = -262 Ω, u = 1.079

• Calculate effective capacitance C

• Do the math :

Average capacitance

when voltage swings

from 0 to Vo

v

c(v)

Vo

PAPER ID # 143

AcknowledgmentThe authors thank the Energy/Power Management Systems

focus area of the SystemX Alliance for funding this work.

Normalized input resistance

Normalized input reactance

A new design parameter

Three simple design steps to follow

Objectives• To develop a design method

applicable to class-D

rectifiers with nonlinear

capacitanceProject Output

Desired specs description Rectifier designed

20ms later

• Python script developed in this project finishes

rectifier design in a fraction of a second