* Z:\home\khalils\Downloads\files\data\raw_asc\222b62add3a4_icg_idg_small_signal_models_combined.asc
* Generated by LTspice 26.0.1 for Windows.
B1 icg_irm_ss 0 V=V(k0)*V(iv0) + V(k1)*V(iv1) + fcg
B2 Ioo 0 V=(acg+bcg+ccg)*V(iv0)*V(iv0) + (dcg+ecg)*V(iv0) + fcg
B3 k0 0 V=2*acg*iv + ccg*iv +dcg
B4 k1 0 V=2*bcg*iv +ccg*iv + ecg
B6 icg_irm 0 V=acg*V(iv0)*V(iv0) + bcg*V(iv1)*V(iv1) + ccg*V(iv0)*V(iv1) + dcg*V(iv0) + ecg*V(iv1) + fcg
B7 <icgbasso> 0 V=V(Ioo) Laplace=(1 + s/wrhpz)
B10 IooChk 0 V=Iinf
B13 icg_izoh 0 V=V(icg_irm_ss) Laplace=s*Tsw/(1 - exp(-s*Tsw))
B8 idg_irm_ss 0 V=V(kdg0)*V(iv0) + V(kdg1)*V(iv1) + fdg
B9 Ioodg 0 V=(adg+bdg+cdg)*V(iv0)*V(iv0) + (ddg+edg)*V(iv0) + fdg
B11 kdg0 0 V=2*adg*iv + cdg*iv +ddg
B12 kdg1 0 V=2*bdg*iv +cdg*iv + edg
B15 idg_irm 0 V=adg*V(iv0)*V(iv0) + bdg*V(iv1)*V(iv1) + cdg*V(iv0)*V(iv1) + ddg*V(iv0) + edg*V(iv1) + fdg
B16 <idgbasso> 0 V=V(Ioodg) Laplace=(1 - s/wrhpzdg)
B18 idg_izoh 0 V=V(idg_irm_ss) Laplace=s*Tsw/(1 - exp(-s*Tsw))
V2 icn 0 {ic} AC 1
B14 iv0 0 V=alpha*V(icn) + (1-alpha)*V(iv1) - Tsw*md
B17 iv1 0 V=delay(V(iv0), Tsw)
B19 mcmp_v 0 V={mcmp*V(icn)}
B20 alpha_v 0 V={alpha*V(icn)}
B5 icg_rcf 0 V=V(icg_izoh)*gcg_rcf Laplace=(Iv)*(1 - exp(-s*Dc*Tsw))/(s) + (mc)*(1 - (1 + s*Dc*Tsw)*exp(-s*Dc*Tsw))/(s*s)
B21 idg_rcf 0 V=V(idg_izoh)*gdg_rcf Laplace=( ((Iv+md*Dpdg*Tsw))*(1 - exp(-s*Dpdg*Tsw))/(s) - md*(1 - (1 + s*Dpdg*Tsw)*exp(-s*Dpdg*Tsw))/(s*s) )*exp(-s*Dc*Tsw)
B22 mcmp 0 V={mcmp}
B23 Ioodgck 0 V=Iinfdg
B24 Ioodgck2 0 V=Fsw/gdg_rcf
* AVERAGE OUTPUT CURRENT: \nSMALL SIGNAL MODEL
.param Vin 18
.param Vout 5.25
.param N 4
.param Vcg {Vin}
.param Vdg {N*Vout}
.param iv 10
.param Lm 23u
.param Fsw 100k
.param Tsw {1/Fsw}
.param mc {Vcg/Lm}
.param md {Vdg/Lm}
.param dencom {(mc*mc + 2*mc*md + md*md)}
.param acg {(1/(2*Tsw))*((mc)/dencom)}
.param bcg {-(1/(2*Tsw))*((mc + 2*md)/dencom)}
.param ccg {(1/(Tsw))*((md)/dencom)}
.param dcg {(mc*md)/dencom}
.param ecg {md*md/dencom}
.param fcg {(Tsw/2)*mc*md*md/dencom}
* AVERAGE OUTPUT CURRENT: \nEXACT NONLINEAR EXPRESSION
* AVERAGE OUTPUT CURRENT: \nCONVENTIONAL SMALL SIGNAL MODEL\n(e.g. CHRISTOPH BASSO)
.param Dc {Vdg/(Vdg+Vcg)}
.param Dp {1-Dc}
.param wrhpz ro*Dc*Dc/(Dp*Lm)
.param Iinf {(acg+bcg+ccg)*iv*iv + (dcg+ecg)*iv + fcg}
.param ro {Vcg/Iinf}
* INPUT BUS VOLTAGE\nCONVERTER OUTPUT VOLTAGE\nCOUPLED INDUCTOR/TRANSFORMER TURNS RATIO (SECONDARY:PRIMARY)\nINDUCTOR CHARGING VOLTAGE\nINDUCTOR DISCHARGING VOLTAGE AS REFLECTED BACK TO PRIMARY SIDE\nSTEADY-STATE VALLEY CURRRENT\nMAGNETIZING INDUCTANCE\nSWITCHING FREQUENCY\nSWITCHING PERIOD
* INPUT PARAMETERS -- SYSTEM STEADY-STATE OPERATING CONDITIONS
* INDUCTOR CURRENT CHARGING SLOPE\nINDUCTOR CURRENT DISCHARGING SLOPE\nCONVENIENT VARIABLE SUBSTITUTION FOR A DENOMINATOR TERM FOUND IN EVERY COEFFICIENT\nCOEFFICIENT: acg*iv[n]^2\nCOEFFICIENT: bcg*iv[n-1]^2\nCOEFFICIENT: ccg*iv[n]*iv[n-1]\nCOEFFICIENT: dcg*iv[n]\nCOEFFICIENT: ecg*iv[n-1]\nCONSTANT : fcg, APPEARS IN STEADY-STATE AVERAGE CURRENT COMPUTATION
* COMPUTED PARAMETERS -- SYSTEM VARIABLES AND COEFFICIENTS
* AVERAGED CURRENT STEADY STATE OUTPUT
* SMALL SIGNAL MODELS COMPARED WITH EXACT NONLINEAR EXPRESSION
* FIR FILTER COEFFICIENTS FOR\nLTI SMALL-SIGNAL MODEL
* SYSTEM PARAMS RE-FACTORED\nINTO COMPATIBLE QUANTITIES\nUSED IN C. BASSO RHPZ EQN.
* VERIFICATION OF DISCRETE TIME SMALL SIGNAL ANALYTICAL MODEL FOR SWITCH-MODE INDUCTOR:
* TRANSFER FUNCTION OF VALLEY CURRENT TO AVERAGE OUTPUT CURRENT EXPRESSED AS FIR FILTER
* COMPARED TO CHRISTOPHE BASSO'S CONTINUOUS-TIME APPROXIMATION OF THE RIGHT-HALF PLANE ZERO
* DC term "fcg" maintained throughout\nthe discrete model term to see \nDC agreement with conventional \nRHPZ expression
* INVERSE ZERO-ORDER-HOLD FUNCTION
* AVERAGE OUTPUT CURRENT: \nSMALL SIGNAL MODEL
;.param mc {Vcg/Lm}
;.param md {Vdg/Lm}
;.param dencom {(mc*mc + 2*mc*md + md*md)}
.param adg {-(1/(2*Tsw))*((2*mc + md)/dencom)}
.param bdg {(1/(2*Tsw))*((md)/dencom)}
.param cdg {(1/(Tsw))*((mc)/dencom)}
.param ddg {(mc*mc)/dencom}
.param edg {mc*md/dencom}
.param fdg {(Tsw/2)*md*mc*mc/dencom}
* AVERAGE OUTPUT CURRENT: \nEXACT NONLINEAR EXPRESSION
* AVERAGE OUTPUT CURRENT: \nCONVENTIONAL SMALL SIGNAL MODEL\n(e.g. CHRISTOPH BASSO)
.param Dcdg {Vdg/(Vdg+Vcg)}
.param Dpdg {1-Dcdg}
.param wrhpzdg rodg*Dpdg*Dpdg/(Dcdg*Lm)
.param Iinfdg {(adg+bdg+cdg)*iv*iv + (ddg+edg)*iv + fdg}
.param rodg {Vdg/Iinfdg}
* INDUCTOR CURRENT CHARGING SLOPE\nINDUCTOR CURRENT DISCHARGING SLOPE\nCONVENIENT VARIABLE SUBSTITUTION FOR A DENOMINATOR TERM FOUND IN EVERY COEFFICIENT\nCOEFFICIENT: adg*iv[n]^2\nCOEFFICIENT: bdg*iv[n-1]^2\nCOEFFICIENT: cdg*iv[n]*iv[n-1]\nCOEFFICIENT: ddg*iv[n]\nCOEFFICIENT: edg*iv[n-1]\nCONSTANT : fdg, APPEARS IN STEADY-STATE AVERAGE CURRENT COMPUTATION
* COMPUTED PARAMETERS -- SYSTEM VARIABLES AND COEFFICIENTS
* AVERAGED CURRENT STEADY STATE OUTPUT
* SMALL SIGNAL MODELS COMPARED WITH EXACT NONLINEAR EXPRESSION
* FIR FILTER COEFFICIENTS FOR\nLTI SMALL-SIGNAL MODEL
* SYSTEM PARAMS RE-FACTORED\nINTO COMPATIBLE QUANTITIES\nUSED IN C. BASSO RHPZ EQN.
* VERIFICATION OF DISCRETE TIME SMALL SIGNAL ANALYTICAL MODEL FOR SWITCH-MODE INDUCTOR:
* TRANSFER FUNCTION OF VALLEY CURRENT TO AVERAGE OUTPUT CURRENT EXPRESSED AS FIR FILTER
* COMPARED TO CHRISTOPHE BASSO'S CONTINUOUS-TIME APPROXIMATION OF THE RIGHT-HALF PLANE ZERO
* DC term "fcg" maintained throughout\nthe discrete model term to see \nDC agreement with conventional \nRHPZ expression
* INVERSE ZERO-ORDER-HOLD FUNCTION
.ac oct 500 100 {5*Fsw}
* COMPUTED PARAMETERS -- SYSTEM VARIABLES AND COEFFICIENTS
* ic[n]
* iv[n]
* SYSTEM INPUT SOURCES
* STIMULUS GENERATION FOR VALLEY CURRENTS
.param hvdb 3
.param hvmag {10**(hvdb/20)}
.param mcmp {(mc+md)*(1+hvmag)/(2*hvmag)-mc}
* PEAK CURRENT CONTROLLER PEAKING (dB)\nPEAK CURRENT CONTROLLER PEAKING - LINEAR\nCONTROLLER SLOPE COMPENSATION
* Place to probe for computed \nslope compensation (A/S)
* IIR FILTER FOR TRANSFER FUNCTION
* RELATES VALLEY CURRENTS TO PEAK CURRENT COMPARATOR THRESHOLD
* iv[n-1]
.param alpha {(mc+md)/(mc+mcmp)}
* Place to probe for computed \nslope compensation (A/S)
* IIR FILTER COEFFICIENT
.param ic {iv+Tsw*md/alpha}
* RECONSTRUCTION FILTER
* RECONSTRUCTION FILTER
.param gdg_rcf {1/(Dpdg*Tsw*Iv+0.5*md*Dpdg*Tsw*Dpdg*Tsw)}
.param gcg_rcf {1/(Dc*Tsw*Iv+0.5*mc*Dc*Tsw*Dc*Tsw)}
* Place to probe for computed \nslope compensation (A/S)
.backanno
.end

* LTspice schematic (.asc):
Version 4
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WIRE -1152 1200 -1232 1200
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WIRE -432 1856 -512 1856
WIRE -1232 1920 -1232 1856
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WIRE -512 2064 -512 2000
WIRE 3568 3392 3440 3392
WIRE 3856 3392 3728 3392
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WIRE 3568 3504 3568 3392
WIRE 3856 3504 3856 3392
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WIRE 3248 3968 3104 3968
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WIRE -1440 4112 -1440 4000
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FLAG 3200 4416 icg_irm_ss
FLAG 2960 4672 0
FLAG 3728 3392 Ioo
FLAG 3856 3648 0
FLAG 2768 3968 k0
FLAG 2944 4224 0
FLAG 3104 3968 k1
FLAG 3248 4224 0
FLAG 4656 4416 icg_irm
FLAG 4448 4672 0
FLAG 3888 4416 <icgbasso>
FLAG 3696 4672 0
FLAG 3568 3648 0
FLAG 3440 3392 IooChk
FLAG 5600 4672 0
FLAG 5680 4416 icg_izoh
FLAG -1488 4448 idg_irm_ss
FLAG -1728 4704 0
FLAG -1008 3424 Ioodg
FLAG -832 3680 0
FLAG -1920 4000 kdg0
FLAG -1744 4256 0
FLAG -1584 4000 kdg1
FLAG -1440 4256 0
FLAG -32 4448 idg_irm
FLAG -240 4704 0
FLAG -800 4448 <idgbasso>
FLAG -992 4704 0
FLAG 912 4704 0
FLAG 992 4448 idg_izoh
FLAG -1232 1408 0
FLAG -1152 1200 icn
FLAG -1232 2064 0
FLAG -1152 1856 iv0
FLAG 144 1008 0
FLAG 224 800 mcmp_v
FLAG -512 2064 0
FLAG -432 1856 iv1
FLAG 144 1264 0
FLAG 224 1056 alpha_v
FLAG 5600 5344 0
FLAG 5680 5088 icg_rcf
FLAG 896 5200 0
FLAG 976 4944 idg_rcf
FLAG 144 704 0
FLAG 224 496 mcmp
FLAG -128 3424 Ioodgck
FLAG 0 3680 0
FLAG 336 3408 Ioodgck2
FLAG 464 3664 0
DATAFLAG 3792 3392 ""
DATAFLAG 3504 3392 ""
DATAFLAG 2832 3968 ""
DATAFLAG 3200 3968 ""
DATAFLAG 3008 4416 ""
DATAFLAG 3760 4416 ""
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DATAFLAG 192 1056 ""
DATAFLAG 160 496 ""
DATAFLAG -64 3424 ""
DATAFLAG -1216 1856 ""
DATAFLAG -496 1856 ""
DATAFLAG -1200 1200 ""
DATAFLAG 400 3408 ""
SYMBOL bv 2960 4512 R0
SYMATTR InstName B1
SYMATTR Value V=V(k0)*V(iv0) + V(k1)*V(iv1) + fcg
SYMBOL bv 3856 3488 R0
SYMATTR InstName B2
SYMATTR Value V=(acg+bcg+ccg)*V(iv0)*V(iv0) + (dcg+ecg)*V(iv0) + fcg
SYMBOL bv 2944 4064 R0
WINDOW 3 -127 197 Left 2
SYMATTR Value V=2*acg*iv + ccg*iv +dcg
SYMATTR InstName B3
SYMBOL bv 3248 4064 R0
WINDOW 3 -69 198 Left 2
SYMATTR Value V=2*bcg*iv +ccg*iv + ecg
SYMATTR InstName B4
SYMBOL bv 4448 4512 R0
SYMATTR InstName B6
SYMATTR Value V=acg*V(iv0)*V(iv0) + bcg*V(iv1)*V(iv1) + ccg*V(iv0)*V(iv1) + dcg*V(iv0) + ecg*V(iv1) + fcg
SYMBOL bv 3696 4512 R0
SYMATTR InstName B7
SYMATTR Value V=V(Ioo) Laplace=(1 + s/wrhpz)
SYMBOL bv 3568 3488 R0
SYMATTR InstName B10
SYMATTR Value V=Iinf
SYMBOL bv 5600 4512 R0
SYMATTR InstName B13
SYMATTR Value V=V(icg_irm_ss) Laplace=s*Tsw/(1 - exp(-s*Tsw))
SYMBOL bv -1728 4544 R0
SYMATTR InstName B8
SYMATTR Value V=V(kdg0)*V(iv0) + V(kdg1)*V(iv1) + fdg
SYMBOL bv -832 3520 R0
SYMATTR InstName B9
SYMATTR Value V=(adg+bdg+cdg)*V(iv0)*V(iv0) + (ddg+edg)*V(iv0) + fdg
SYMBOL bv -1744 4096 R0
WINDOW 3 -127 197 Left 2
SYMATTR Value V=2*adg*iv + cdg*iv +ddg
SYMATTR InstName B11
SYMBOL bv -1440 4096 R0
WINDOW 3 -69 198 Left 2
SYMATTR Value V=2*bdg*iv +cdg*iv + edg
SYMATTR InstName B12
SYMBOL bv -240 4544 R0
SYMATTR InstName B15
SYMATTR Value V=adg*V(iv0)*V(iv0) + bdg*V(iv1)*V(iv1) + cdg*V(iv0)*V(iv1) + ddg*V(iv0) + edg*V(iv1) + fdg
SYMBOL bv -992 4544 R0
SYMATTR InstName B16
SYMATTR Value V=V(Ioodg) Laplace=(1 - s/wrhpzdg)
SYMBOL bv 912 4544 R0
SYMATTR InstName B18
SYMATTR Value V=V(idg_irm_ss) Laplace=s*Tsw/(1 - exp(-s*Tsw))
SYMBOL voltage -1232 1248 R0
WINDOW 123 24 124 Left 2
WINDOW 39 0 0 Left 2
SYMATTR Value2 AC 1
SYMATTR InstName V2
SYMATTR Value {ic}
SYMBOL bv -1232 1904 R0
SYMATTR InstName B14
SYMATTR Value V=alpha*V(icn) + (1-alpha)*V(iv1) - Tsw*md
SYMBOL bv -512 1904 R0
SYMATTR InstName B17
SYMATTR Value V=delay(V(iv0), Tsw)
SYMBOL bv 144 848 R0
SYMATTR InstName B19
SYMATTR Value V={mcmp*V(icn)}
SYMBOL bv 144 1104 R0
SYMATTR InstName B20
SYMATTR Value V={alpha*V(icn)}
SYMBOL bv 5600 5184 R0
SYMATTR InstName B5
SYMATTR Value V=V(icg_izoh)*gcg_rcf Laplace=(Iv)*(1 - exp(-s*Dc*Tsw))/(s) + (mc)*(1 - (1 + s*Dc*Tsw)*exp(-s*Dc*Tsw))/(s*s)
SYMBOL bv 896 5040 R0
SYMATTR InstName B21
SYMATTR Value V=V(idg_izoh)*gdg_rcf Laplace=( ((Iv+md*Dpdg*Tsw))*(1 - exp(-s*Dpdg*Tsw))/(s) - md*(1 - (1 + s*Dpdg*Tsw)*exp(-s*Dpdg*Tsw))/(s*s) )*exp(-s*Dc*Tsw)
SYMBOL bv 144 544 R0
SYMATTR InstName B22
SYMATTR Value V={mcmp}
SYMBOL bv 0 3520 R0
SYMATTR InstName B23
SYMATTR Value V=Iinfdg
SYMBOL bv 464 3504 R0
SYMATTR InstName B24
SYMATTR Value V=Fsw/gdg_rcf
TEXT 2944 4760 Left 3 ;AVERAGE OUTPUT CURRENT: \nSMALL SIGNAL MODEL
TEXT -1216 -704 Left 2 !.param Vin 18\n.param Vout 5.25\n.param N 4\n.param Vcg {Vin}\n.param Vdg {N*Vout}\n.param iv 10\n.param Lm 23u\n.param Fsw 100k\n.param Tsw {1/Fsw}
TEXT -1216 -272 Left 2 !.param mc {Vcg/Lm}\n.param md {Vdg/Lm}\n.param dencom {(mc*mc + 2*mc*md + md*md)}\n.param acg {(1/(2*Tsw))*((mc)/dencom)}\n.param bcg {-(1/(2*Tsw))*((mc + 2*md)/dencom)}\n.param ccg {(1/(Tsw))*((md)/dencom)}\n.param dcg {(mc*md)/dencom}\n.param ecg {md*md/dencom}\n.param fcg  {(Tsw/2)*mc*md*md/dencom}
TEXT 4424 4760 Left 3 ;AVERAGE OUTPUT CURRENT: \nEXACT NONLINEAR EXPRESSION
TEXT 3680 4760 Left 3 ;AVERAGE OUTPUT CURRENT: \nCONVENTIONAL SMALL SIGNAL MODEL\n(e.g. CHRISTOPH BASSO)
TEXT 3664 4168 Left 2 !.param Dc {Vdg/(Vdg+Vcg)}\n.param Dp {1-Dc}\n.param wrhpz ro*Dc*Dc/(Dp*Lm)
TEXT 3664 4104 Left 2 !.param Iinf {(acg+bcg+ccg)*iv*iv + (dcg+ecg)*iv + fcg}\n.param ro {Vcg/Iinf}
TEXT -920 -704 Left 2 ;INPUT BUS VOLTAGE\nCONVERTER OUTPUT VOLTAGE\nCOUPLED INDUCTOR/TRANSFORMER TURNS RATIO (SECONDARY:PRIMARY)\nINDUCTOR CHARGING VOLTAGE\nINDUCTOR DISCHARGING VOLTAGE AS REFLECTED BACK TO PRIMARY SIDE\nSTEADY-STATE VALLEY CURRRENT\nMAGNETIZING INDUCTANCE\nSWITCHING FREQUENCY\nSWITCHING PERIOD
TEXT -1216 -416 Left 2 ;INPUT PARAMETERS -- SYSTEM STEADY-STATE OPERATING CONDITIONS
TEXT -544 -280 Left 2 ;INDUCTOR CURRENT CHARGING SLOPE\nINDUCTOR CURRENT DISCHARGING SLOPE\nCONVENIENT VARIABLE SUBSTITUTION FOR A DENOMINATOR TERM FOUND IN EVERY COEFFICIENT\nCOEFFICIENT: acg*iv[n]^2\nCOEFFICIENT: bcg*iv[n-1]^2\nCOEFFICIENT: ccg*iv[n]*iv[n-1]\nCOEFFICIENT: dcg*iv[n]\nCOEFFICIENT: ecg*iv[n-1]\nCONSTANT   :  fcg, APPEARS IN STEADY-STATE AVERAGE CURRENT COMPUTATION
TEXT -1216 32 Left 2 ;COMPUTED PARAMETERS -- SYSTEM VARIABLES AND COEFFICIENTS
TEXT 3408 3712 Left 2 ;AVERAGED CURRENT STEADY STATE OUTPUT
TEXT 3392 4992 Left 2 ;SMALL SIGNAL MODELS COMPARED WITH EXACT NONLINEAR EXPRESSION
TEXT 2944 4312 Left 2 ;FIR FILTER COEFFICIENTS FOR\nLTI SMALL-SIGNAL MODEL
TEXT 3672 4288 Left 2 ;SYSTEM PARAMS RE-FACTORED\nINTO COMPATIBLE QUANTITIES\nUSED IN C. BASSO RHPZ EQN.
TEXT -1232 -848 Left 3 ;VERIFICATION OF DISCRETE TIME SMALL SIGNAL ANALYTICAL MODEL FOR SWITCH-MODE INDUCTOR:
TEXT -1224 -808 Left 2 ;TRANSFER FUNCTION OF VALLEY CURRENT TO AVERAGE OUTPUT CURRENT EXPRESSED AS FIR FILTER
TEXT -1224 -784 Left 2 ;COMPARED TO CHRISTOPHE BASSO'S CONTINUOUS-TIME APPROXIMATION OF THE RIGHT-HALF PLANE ZERO
TEXT 2496 4440 Left 2 ;DC term "fcg" maintained throughout\nthe discrete model term to see \nDC agreement with conventional \nRHPZ expression
TEXT 5584 4728 Left 2 ;INVERSE ZERO-ORDER-HOLD FUNCTION
TEXT -1744 4792 Left 3 ;AVERAGE OUTPUT CURRENT: \nSMALL SIGNAL MODEL
TEXT -1280 2880 Left 2 !;.param mc {Vcg/Lm}\n;.param md {Vdg/Lm}\n;.param dencom {(mc*mc + 2*mc*md + md*md)}\n.param adg {-(1/(2*Tsw))*((2*mc + md)/dencom)}\n.param bdg {(1/(2*Tsw))*((md)/dencom)}\n.param cdg {(1/(Tsw))*((mc)/dencom)}\n.param ddg {(mc*mc)/dencom}\n.param edg {mc*md/dencom}\n.param fdg  {(Tsw/2)*md*mc*mc/dencom}
TEXT -264 4792 Left 3 ;AVERAGE OUTPUT CURRENT: \nEXACT NONLINEAR EXPRESSION
TEXT -1008 4792 Left 3 ;AVERAGE OUTPUT CURRENT: \nCONVENTIONAL SMALL SIGNAL MODEL\n(e.g. CHRISTOPH BASSO)
TEXT -1024 4200 Left 2 !.param Dcdg {Vdg/(Vdg+Vcg)}\n.param Dpdg {1-Dcdg}\n.param wrhpzdg rodg*Dpdg*Dpdg/(Dcdg*Lm)
TEXT -1024 4136 Left 2 !.param Iinfdg {(adg+bdg+cdg)*iv*iv + (ddg+edg)*iv + fdg}\n.param rodg {Vdg/Iinfdg}
TEXT -608 2872 Left 2 ;INDUCTOR CURRENT CHARGING SLOPE\nINDUCTOR CURRENT DISCHARGING SLOPE\nCONVENIENT VARIABLE SUBSTITUTION FOR A DENOMINATOR TERM FOUND IN EVERY COEFFICIENT\nCOEFFICIENT: adg*iv[n]^2\nCOEFFICIENT: bdg*iv[n-1]^2\nCOEFFICIENT: cdg*iv[n]*iv[n-1]\nCOEFFICIENT: ddg*iv[n]\nCOEFFICIENT: edg*iv[n-1]\nCONSTANT   :  fdg, APPEARS IN STEADY-STATE AVERAGE CURRENT COMPUTATION
TEXT -1280 3184 Left 2 ;COMPUTED PARAMETERS -- SYSTEM VARIABLES AND COEFFICIENTS
TEXT -1280 3744 Left 2 ;AVERAGED CURRENT STEADY STATE OUTPUT
TEXT -1296 5024 Left 2 ;SMALL SIGNAL MODELS COMPARED WITH EXACT NONLINEAR EXPRESSION
TEXT -1744 4344 Left 2 ;FIR FILTER COEFFICIENTS FOR\nLTI SMALL-SIGNAL MODEL
TEXT -1016 4320 Left 2 ;SYSTEM PARAMS RE-FACTORED\nINTO COMPATIBLE QUANTITIES\nUSED IN C. BASSO RHPZ EQN.
TEXT -1312 2704 Left 3 ;VERIFICATION OF DISCRETE TIME SMALL SIGNAL ANALYTICAL MODEL FOR SWITCH-MODE INDUCTOR:
TEXT -1304 2744 Left 2 ;TRANSFER FUNCTION OF VALLEY CURRENT TO AVERAGE OUTPUT CURRENT EXPRESSED AS FIR FILTER
TEXT -1304 2768 Left 2 ;COMPARED TO CHRISTOPHE BASSO'S CONTINUOUS-TIME APPROXIMATION OF THE RIGHT-HALF PLANE ZERO
TEXT -2192 4472 Left 2 ;DC term "fcg" maintained throughout\nthe discrete model term to see \nDC agreement with conventional \nRHPZ expression
TEXT 896 4760 Left 2 ;INVERSE ZERO-ORDER-HOLD FUNCTION
TEXT -1256 1576 Left 2 !.ac oct 500 100 {5*Fsw}
TEXT -1248 1088 Left 2 ;COMPUTED PARAMETERS -- SYSTEM VARIABLES AND COEFFICIENTS
TEXT -1152 1224 Left 2 ;ic[n]
TEXT -1152 1880 Left 2 ;iv[n]
TEXT -1264 1616 Left 2 ;SYSTEM INPUT SOURCES
TEXT -1256 1480 Left 2 ;STIMULUS GENERATION FOR VALLEY CURRENTS
TEXT -1248 920 Left 2 !.param hvdb 3
TEXT -1248 952 Left 2 !.param hvmag {10**(hvdb/20)}\n.param mcmp {(mc+md)*(1+hvmag)/(2*hvmag)-mc}
TEXT -608 920 Left 2 ;PEAK CURRENT CONTROLLER PEAKING (dB)\nPEAK CURRENT CONTROLLER PEAKING - LINEAR\nCONTROLLER SLOPE COMPENSATION
TEXT 272 840 Left 2 ;Place to probe for computed \nslope compensation (A/S)
TEXT -1280 2200 Left 4 ;IIR FILTER FOR TRANSFER FUNCTION
TEXT -1280 2240 Left 2 ;RELATES VALLEY CURRENTS TO PEAK CURRENT COMPARATOR THRESHOLD
TEXT -432 1880 Left 2 ;iv[n-1]
TEXT -1248 1024 Left 2 !.param alpha {(mc+md)/(mc+mcmp)}
TEXT 272 1096 Left 2 ;Place to probe for computed \nslope compensation (A/S)
TEXT -608 1024 Left 2 ;IIR FILTER COEFFICIENT
TEXT -1240 856 Left 2 !.param ic {iv+Tsw*md/alpha}
TEXT 5584 5400 Left 2 ;RECONSTRUCTION FILTER
TEXT 880 5256 Left 2 ;RECONSTRUCTION FILTER
TEXT 1024 5048 Left 2 !.param gdg_rcf {1/(Dpdg*Tsw*Iv+0.5*md*Dpdg*Tsw*Dpdg*Tsw)}
TEXT 5800 5184 Left 2 !.param gcg_rcf {1/(Dc*Tsw*Iv+0.5*mc*Dc*Tsw*Dc*Tsw)}
TEXT 272 536 Left 2 ;Place to probe for computed \nslope compensation (A/S)
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