Version 4 SHEET 1 3060 1048 WIRE 96 -208 96 -240 WIRE 96 -48 96 -128 WIRE 96 128 96 80 WIRE 96 272 96 208 WIRE 128 448 128 400 WIRE 128 592 128 528 WIRE 176 400 128 400 WIRE 208 -48 96 -48 WIRE 208 -16 208 -48 WIRE 208 272 96 272 WIRE 208 304 208 272 WIRE 240 400 176 400 WIRE 272 -240 96 -240 WIRE 272 -176 272 -240 WIRE 272 -48 208 -48 WIRE 272 -48 272 -96 WIRE 288 272 208 272 WIRE 336 80 96 80 WIRE 352 80 336 80 WIRE 352 128 352 80 WIRE 352 272 288 272 WIRE 352 272 352 208 WIRE 368 -240 272 -240 WIRE 384 400 320 400 WIRE 416 -240 368 -240 WIRE 416 -208 416 -240 WIRE 416 -48 272 -48 WIRE 416 -48 416 -128 WIRE 416 400 384 400 WIRE 464 464 464 416 WIRE 464 608 464 544 WIRE 560 -208 560 -240 WIRE 560 -48 416 -48 WIRE 560 -48 560 -128 WIRE 560 128 560 80 WIRE 560 272 352 272 WIRE 560 272 560 208 WIRE 608 80 560 80 WIRE 624 464 624 416 WIRE 624 608 624 544 WIRE 688 -240 560 -240 WIRE 768 -240 688 -240 WIRE 768 -192 768 -240 WIRE 768 -48 560 -48 WIRE 768 -48 768 -112 WIRE 784 80 608 80 WIRE 800 464 800 416 WIRE 800 608 800 544 WIRE 864 416 800 416 WIRE 880 -240 768 -240 WIRE 880 -192 880 -240 WIRE 880 -48 768 -48 WIRE 880 -48 880 -112 WIRE 944 80 864 80 WIRE 992 416 864 416 WIRE 992 608 992 416 WIRE 1008 -240 880 -240 WIRE 1008 -192 1008 -240 WIRE 1008 -48 880 -48 WIRE 1008 -48 1008 -112 WIRE 1056 464 1056 416 WIRE 1056 608 992 608 WIRE 1056 608 1056 544 WIRE 1072 -240 1008 -240 WIRE 1120 416 1056 416 WIRE 1168 416 1120 416 WIRE 1216 -240 1152 -240 WIRE 1248 80 1024 80 WIRE 1248 128 1248 80 WIRE 1248 272 560 272 WIRE 1248 272 1248 208 WIRE 1312 464 1312 416 WIRE 1312 608 1312 544 WIRE 1360 -240 1296 -240 WIRE 1360 -192 1360 -240 WIRE 1360 -48 1008 -48 WIRE 1360 -48 1360 -112 WIRE 1376 416 1312 416 WIRE 1392 96 1392 48 WIRE 1392 240 1392 176 WIRE 1424 416 1376 416 WIRE 1440 48 1392 48 WIRE 1472 48 1440 48 WIRE 1568 96 1568 48 WIRE 1568 240 1568 176 WIRE 1616 48 1568 48 WIRE 1648 48 1616 48 FLAG 336 80 act FLAG 608 80 cmn FLAG 288 272 pas FLAG 1312 608 0 FLAG 1376 416 duty FLAG 208 304 0 FLAG 128 592 0 FLAG 384 400 vc FLAG 688 -240 cmn2 FLAG 176 400 vc1 FLAG 208 -16 0 FLAG 800 608 0 FLAG 864 416 duty2 FLAG 1120 416 duty3 FLAG 368 -240 act2 FLAG 1392 240 0 FLAG 1440 48 test1 FLAG 1568 240 0 FLAG 1616 48 test2 FLAG 464 608 0 FLAG 464 416 X FLAG 624 608 0 FLAG 624 416 Y SYMBOL bv 1312 448 R0 WINDOW 3 159 -166 VRight 0 SYMATTR InstName B1 SYMATTR Value V=(v(cmn)-v(pas))/(v(act)-v(pas)+1u) SYMBOL bi 352 128 R0 SYMATTR InstName B2 SYMATTR Value I=i(v9)*v(duty) SYMBOL bi2 560 128 R0 SYMATTR InstName B3 SYMATTR Value I=v(vc)/Rs - (v(act)-v(pas))*v(duty)*(1-v(duty))*Ts/(2*L) SYMBOL battery 96 112 R0 WINDOW 123 24 132 Left 0 WINDOW 39 0 0 Left 0 SYMATTR InstName V2 SYMATTR Value {Vin} SYMBOL battery 1248 112 R0 SYMATTR InstName V3 SYMATTR Value {Vout} SYMBOL voltage 128 432 R0 WINDOW 123 24 132 Left 0 WINDOW 39 0 0 Left 0 SYMATTR Value2 AC 1 SYMATTR InstName V4 SYMATTR Value {Vc} SYMBOL ind 928 96 R270 WINDOW 0 32 56 VTop 0 WINDOW 3 5 56 VBottom 0 SYMATTR InstName L1 SYMATTR Value {L} SYMATTR SpiceLine Rser=0 SYMBOL bi2 560 -208 R0 SYMATTR InstName B44 SYMATTR Value I=v(vc1)/Rs SYMBOL res 752 -208 R0 SYMATTR InstName Rx SYMATTR Value {Rx} SYMBOL ind 1200 -224 R270 WINDOW 0 32 56 VTop 0 WINDOW 3 5 56 VBottom 0 SYMATTR InstName L2 SYMATTR Value {L} SYMATTR SpiceLine Rser=0 SYMBOL bv 224 400 R270 WINDOW 0 32 56 VTop 0 WINDOW 3 -32 56 VBottom 0 SYMATTR InstName B5 SYMATTR Value V=Vramp*v(duty) SYMBOL res 864 -208 R0 SYMATTR InstName Ry SYMATTR Value {Ry} SYMBOL battery 1360 -208 R0 SYMATTR InstName V5 SYMATTR Value {Vout} SYMBOL bv 800 448 R0 WINDOW 3 16 108 Left 0 SYMATTR InstName B4 SYMATTR Value V=v(cmn2)/Vin SYMBOL bv 1056 448 R0 WINDOW 3 140 -55 VRight 0 SYMATTR InstName B6 SYMATTR Value V=-v(act2)*Vout/(Vin*Vin) SYMBOL bi 416 -208 R0 SYMATTR InstName B7 SYMATTR Value I=i(v1)*D SYMBOL voltage 1056 -240 R270 WINDOW 0 32 56 VTop 0 WINDOW 3 -32 56 VBottom 0 SYMATTR InstName V1 SYMATTR Value 0 SYMBOL battery 96 -224 R0 WINDOW 123 21 130 Left 0 WINDOW 39 0 0 Left 0 SYMATTR InstName V6 SYMATTR Value {Vin} SYMBOL bi 272 -176 R0 SYMATTR InstName B8 SYMATTR Value I=v(duty3)*Icmn2 SYMBOL bi2 1008 -192 R0 SYMATTR InstName B10 SYMATTR Value I=(gm1+gm2)*v(act2) SYMBOL battery 1392 80 R0 SYMATTR InstName V7 SYMATTR Value {Icmn2} SYMBOL battery 1568 80 R0 SYMATTR InstName V8 SYMATTR Value {Ry} SYMBOL voltage 768 80 R270 WINDOW 0 32 56 VTop 0 WINDOW 3 -32 56 VBottom 0 SYMATTR InstName V9 SYMATTR Value 0 SYMBOL bv 464 448 R0 WINDOW 3 74 -168 VRight 0 SYMATTR InstName B9 SYMATTR Value V=v(cmn2)/Vin-v(act2)*Vout/(Vin*Vin) SYMBOL bv 624 448 R0 WINDOW 3 93 -155 VRight 0 SYMATTR InstName B11 SYMATTR Value V=(v(cmn)-v(pas))/(v(act)-v(pas)) TEXT 88 -432 Left 0 !.param Rs=0.1 L=1.5u Ts=5u TEXT 798 -420 Left 0 !;tran 1m uic TEXT 800 -392 Left 0 !;op TEXT 792 -368 Left 0 !.nodeset v(cmn)=2.5 TEXT 792 -344 Left 0 !.ac dec 25 1 10meg TEXT 88 -264 Left 0 ;Small-Signal Model TEXT 96 32 Left 0 ;Nonlinear\nAveraged Model TEXT 88 -456 Left 0 !.param Vin=10 Vout=2.5 Vramp=1u D=Vout/Vin TEXT 88 -408 Left 0 !.param Vc=0.5 TEXT 88 -384 Left 0 !.param Rx=1/((1-2*Vout/Vin)*Ts/(2*L)) TEXT 1224 408 Left 0 ;bjs TEXT 88 -360 Left 0 !.param Ry=Rs*Vin/Vramp TEXT 232 480 Left 0 ;slope comp TEXT 88 -336 Left 0 !.param gm1=-D*D*Ts/(2*L) TEXT 88 -312 Left 0 !.param gm2=Vout*Vramp/(Vin*Vin*Rs) TEXT 88 -288 Left 0 !.param Icmn2=Vc/Rs - Vout*(1-Vout/Vin)*Ts/(2*L) - Vramp*D/Rs TEXT 792 -320 Left 0 !.step param Vin list 10 8 6 4