* Z:\home\khalils\Downloads\files\data\raw_asc\05361c32bfeb_llc_5th_eq_vo-vg_and_Zin.asc
* Generated by LTspice 26.0.1 for Windows.
* .param Le = L + 1/C/(Omega_s**2)
* 5th order series resonant converter (SRC) small signal model\nInput voltage to output transfer function\n \nPlot Input impedance simulation by input equation V(Vg)/I(V_SNS_IS)/{2/pi} in the plot view\n(The example in S. Tian's disertation shows only the gain curve for Zin)
Vg Vg 0 AC 1
L2 0 N008 {L}
B9 N009 N010 I={Omega_s * C } * V(V_SNS_VS)
B7 N003 N002 I={Omega_s * C } * V(V_SNS_VC)
L1 N005 N006 {L}
R2 N007 0 {Rs}
B2 0 Vo I={kc} * I(V_SNS_IC)
R3 0 N012 {Rc}
V_SNS_IC N010 N011 0
C3 N009 N010 {C}
B4 N013 N012 V= 2 * {kc} * V(Vo)
B5 N002 N006 V={Omega_s * L} * I(V_SNS_IC)
E3 V_SNS_VS 0 N002 N003 1
B6 N008 N009 V={Omega_s * L} * I(V_SNS_IS)
R1 Vo 0 {RL}
E4 V_SNS_VC 0 N009 N010 1
B12 N011 N013 V= {krc} * I(V_SNS_IS)
B1 0 Vo I={ks} * I(V_SNS_IS)
V_SNS_IS N003 N001 0
C2 N003 N002 {C}
B3 N004 N007 V=2* {ks} * V(Vo)
E1 N005 0 Vg 0 {4/pi}
B11 N001 N004 V={krs} * I(V_SNS_IC)
C1 Vo 0 {Cf}
.param L = 197u
.param C = 51n
.param F0 = 1/(2*pi*sqrt(L*C))
.param Z0 = sqrt(L/C)
.param Cf = 32u
.param Vg = 400
.param RL = 15.5
.param Qs = Z0 / RL
.param fs = 1.2* F0
.param Omega_s =2*pi* fs
.param Req = 8*RL/(pi**2)
.param Xeq = Omega_s * L - 1/Omega_s/C
.param Is = (4*Vg/pi ) * Req/(Req**2 + Xeq**2)
.param Ic = - (4*Vg/pi ) * Xeq/(Req**2 + Xeq**2)
.param Vs = - (4*Vg/pi/Omega_s/C ) * Xeq/(Req**2 + Xeq**2)
.param Vc = - (4*Vg/pi/Omega_s/C ) * Req/(Req**2 + Xeq**2)
.param krs = Xeq*(Req**2)/(Req**2 + Xeq**2)
.param krc = krs
.param ks = 2/pi * Req/sqrt(Req**2 + Xeq**2)
.param kc = -2/pi * Xeq/sqrt(Req**2 + Xeq**2)
.param Rs = Req * (Xeq**2) / (Req**2 + Xeq**2)
.param Rc = Req * (Req**2) / (Req**2 + Xeq**2)
.param Omega_0 = sqrt(1/C)
.param Le = L*(1 + (Omega_0**2)/(Omega_s**2))
.param Rx = Xeq * (Xeq**2)/ (Req**2 + Xeq**2)
.param Ry = Xeq * (Xeq**2 + 2*Req**2) / (Req**2 + Xeq**2)
.param Gs = L*Ic + Vs/Omega_s
.param Gc = L*Is - Vc/Omega_s
.ac dec 20 10 50k
.backanno
.end

* LTspice schematic (.asc):
Version 4
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WIRE 544 -336 384 -336
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WIRE -80 -240 -176 -240
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WIRE 1040 -16 800 -16
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WIRE 1200 -16 1152 -16
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WIRE 800 32 800 -16
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WIRE 48 544 0 544
WIRE 48 560 48 544
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WIRE 80 592 -16 592
WIRE 384 640 384 320
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WIRE 544 640 384 640
IOPIN 1200 -16 Out
IOPIN -976 48 In
SYMBOL bi2 -16 320 R90
WINDOW 0 -32 40 VBottom 2
WINDOW 3 32 40 VTop 2
SYMATTR InstName B9
SYMATTR Value I={Omega_s * C } * V(V_SNS_VS)
SYMBOL ind -688 336 R270
WINDOW 0 32 56 VTop 2
WINDOW 3 5 56 VBottom 2
SYMATTR InstName L2
SYMATTR Value {L}
SYMBOL e -768 16 R0
SYMATTR InstName E1
SYMATTR Value {4/pi}
SYMBOL bi2 688 64 R0
SYMATTR InstName B1
SYMATTR Value I={ks} * I(V_SNS_IS)
SYMBOL res 528 160 R0
SYMATTR InstName R3
SYMATTR Value {Rc}
SYMBOL bv -352 -16 R90
WINDOW 0 -32 56 VBottom 2
WINDOW 3 32 56 VTop 2
SYMATTR InstName B5
SYMATTR Value V={Omega_s * L} * I(V_SNS_IC)
SYMBOL ind -688 0 R270
WINDOW 0 32 56 VTop 2
WINDOW 3 5 56 VBottom 2
SYMATTR InstName L1
SYMATTR Value {L}
SYMBOL cap -80 448 R270
WINDOW 0 32 32 VTop 2
WINDOW 3 0 32 VBottom 2
SYMATTR InstName C3
SYMATTR Value {C}
SYMBOL bi2 800 32 R0
SYMATTR InstName B2
SYMATTR Value I={kc} * I(V_SNS_IC)
SYMBOL voltage 176 -16 R270
WINDOW 0 32 56 VTop 2
WINDOW 3 -32 56 VBottom 2
SYMATTR InstName V_SNS_IS
SYMATTR Value 0
SYMBOL bv 544 448 R180
WINDOW 0 24 96 Left 2
WINDOW 3 24 16 Left 2
SYMATTR InstName B4
SYMATTR Value V= 2 * {kc} * V(Vo)
SYMBOL bi2 -80 -16 R270
WINDOW 0 32 40 VTop 2
WINDOW 3 -32 40 VBottom 2
SYMATTR InstName B7
SYMATTR Value I={Omega_s * C } * V(V_SNS_VC)
SYMBOL e -96 -240 R270
SYMATTR InstName E3
SYMATTR Value 1
SYMBOL cap 1024 64 R0
SYMATTR InstName C1
SYMATTR Value {Cf}
SYMBOL res 1136 32 R0
SYMATTR InstName R1
SYMATTR Value {RL}
SYMBOL e -96 544 R270
SYMATTR InstName E4
SYMATTR Value 1
SYMBOL bv 544 -304 R0
SYMATTR InstName B11
SYMATTR Value V={krs} * I(V_SNS_IC)
SYMBOL bv 544 -176 R0
SYMATTR InstName B3
SYMATTR Value V=2* {ks} * V(Vo)
SYMBOL res 528 16 R0
SYMATTR InstName R2
SYMATTR Value {Rs}
SYMBOL voltage -976 80 R0
WINDOW 123 24 124 Left 2
WINDOW 39 0 0 Left 2
SYMATTR Value2 AC 1
SYMATTR InstName Vg
SYMATTR Value ""
SYMBOL bv 544 592 R180
WINDOW 0 24 96 Left 2
WINDOW 3 24 16 Left 2
SYMATTR InstName B12
SYMATTR Value V= {krc} * I(V_SNS_IS)
SYMBOL cap -16 -144 R90
WINDOW 0 0 32 VBottom 2
WINDOW 3 32 32 VTop 2
SYMATTR InstName C2
SYMATTR Value {C}
SYMBOL voltage 160 320 R270
WINDOW 0 32 56 VTop 2
WINDOW 3 -32 56 VBottom 2
SYMATTR InstName V_SNS_IC
SYMATTR Value 0
SYMBOL bv -480 320 R270
WINDOW 0 32 56 VTop 2
WINDOW 3 -32 56 VBottom 2
SYMATTR InstName B6
SYMATTR Value V={Omega_s * L} * I(V_SNS_IS)
FLAG -144 176 0
FLAG -976 288 0
FLAG 688 240 0
FLAG 1200 -16 Vo
FLAG 48 -224 0
FLAG -176 -240 V_SNS_VS
FLAG 48 560 0
FLAG -160 544 V_SNS_VC
FLAG -976 48 Vg
TEXT 1488 -600 Left 2 !.param L = 197u\n.param C = 51n\n.param F0 = 1/(2*pi*sqrt(L*C))\n.param Z0 = sqrt(L/C)\n.param Cf = 32u\n \n.param Vg = 400\n.param RL = 15.5\n.param Qs = Z0 / RL\n.param fs = 1.2* F0\n.param Omega_s =2*pi* fs\n \n.param Req = 8*RL/(pi**2)\n.param Xeq = Omega_s * L - 1/Omega_s/C\n \n.param Is = (4*Vg/pi ) * Req/(Req**2 + Xeq**2)\n.param Ic = - (4*Vg/pi ) * Xeq/(Req**2 + Xeq**2)\n.param Vs = - (4*Vg/pi/Omega_s/C ) * Xeq/(Req**2 + Xeq**2)\n.param Vc = - (4*Vg/pi/Omega_s/C ) * Req/(Req**2 + Xeq**2)\n \n.param krs = Xeq*(Req**2)/(Req**2 + Xeq**2)\n.param krc = krs\n.param ks = 2/pi * Req/sqrt(Req**2 + Xeq**2)\n.param kc = -2/pi * Xeq/sqrt(Req**2 + Xeq**2)\n.param Rs = Req * (Xeq**2) / (Req**2 + Xeq**2)\n.param Rc = Req * (Req**2) / (Req**2 + Xeq**2)\n \n.param Omega_0 = sqrt(1/C)\n.param Le = L*(1 + (Omega_0**2)/(Omega_s**2))\n* .param Le = L + 1/C/(Omega_s**2)\n.param Rx = Xeq * (Xeq**2)/ (Req**2 + Xeq**2)\n.param Ry = Xeq * (Xeq**2 + 2*Req**2) / (Req**2 + Xeq**2)\n.param Gs = L*Ic + Vs/Omega_s\n.param Gc = L*Is - Vc/Omega_s
TEXT 1488 424 Left 2 !.ac dec 20 10 50k
TEXT -456 -496 Left 2 ;5th order series resonant converter (SRC) small signal model\nInput voltage to output transfer function\n \nPlot Input impedance simulation by input equation V(Vg)/I(V_SNS_IS)/{2/pi} in the plot view\n(The example in S. Tian's disertation shows only the gain curve for Zin)