Example: Full-bridge parallel resonant inverter 2. Steady-state solution

Fundamentals of Power Electronics 1 Chapter 19: Resonant Conversion

Example: Full-bridge parallel resonant inverter1. Construct steady-state plus small-signal phasor model


Example: Full-bridge parallel resonant inverter2. Steady-state solution


Example: Full-bridge parallel resonant inverter3. Small-signal perturbation in output phasor


Recovering the actual output envelope


Simulation using SPICE


SPICE inductor model


SPICE models


Example: Full-bridge parallel resonant inverterSPICE-compatible model


Recovering the actual output envelope in SPICE

parallel resonant inverter

*PARAMETERS AND NODESETS

*main circuit parameters.param L=627u.param Cp=7.9n.param Vg = 150.param R=400.param fs=86k.param ws=540k;.param Vin = 191

*steady-state switching frequency.nodeset v(w)=540k

*voltages and currents.nodeset i(L_re)=0.5209.nodeset i(L_im)=-0.8382.nodeset v(out_re)=-92.99.nodeset v(out_im)=-176.5.nodeset v(outi)=0.6536.nodeset v(outv)=199.5.nodeset v(in_im)=0.nodeset v(in_re)=191.nodeset v(xl_im)=0.nodeset v(xl_re)=191.nodeset v(in_rex)=191.nodeset v(out_imdum)=0.nodeset v(out_redum)=0

*CIRCUIT CONSTRUCTION

*real part

V_re in_rex 0 dc 191 ac 0V_rex in_re in_rex sin(0 0 1000 0 0) ac 0L_re in_re xl_re {L}EXL_re xl_re out_re value {-v(w)*{L}*i(EXL_im)}Cp_re out_re 0 {Cp} Gcp_re out_re 0 value {-v(w)*{Cp}*v(out_im)}Rp_re out_re 0 10g

*add dummy voltage to measure currentvdum_re out_re out_redum 0R_re out_redum 0 {R}

*imaginary part

V_im in_im 0 dc 0 ac 0L_im in_im xl_im {L}EXL_im xl_im out_im value {v(w)*{L}*i(EXL_re)}Cp_im out_im 0 {Cp} Gcp_im out_im 0 value {v(w)*{Cp}*v(out_re)}Rp_im out_im 0 10g

*add dummy voltage to measure currentvdum_im out_im out_imdum 0R_im out_imdum 0 {R}

*frequency perturbation vw w 0 {ws} ac 1Rph w 0 1meg

*EXTRACT ENVELOPE

Evout outv 0 value {sqrt(v(out_re)*v(out_re)+v(out_im)*v(out_im))}Rvout outv 0 100Eiout outi 0 value {sqrt(i(vdum_re)*i(vdum_re)+i(vdum_im)*i(vdum_im))}Riout outi 0 100

*analysis setup.op.ac dec 201 1000 300k*.tran 1n 500u 0 0.1u

.probe

.END


Genv,ws(s) from SPICE


Genv,ws(s) from MATLAB

-110

-100

-90

-80

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-60From: w s-hat To: vout-env

Mag

nitu

de (

dB)

100

101

102

103

104

105

-180

-90

0

90

180

Pha

se (

deg)

Bode Diagram

Frequency (Hz)

phasor

direct


Genv,ws(s) from MATLAB

-9 -8 -7 -6 -5 -4 -3 -2 -1 0

x 105

-1

-0.8

-0.6

-0.4

-0.2

0

0.2

0.4

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0.8

1x 10

6

Pole-Zero Map

Real Axis

Imag

inar

y A

xis

phasor

direct

Example: Full-bridge parallel resonant inverter 2. Steady-state solution

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