Version 4
SHEET 1 1896 836
WIRE 704 -96 672 -96
WIRE 880 -96 848 -96
WIRE 672 -64 672 -96
WIRE 848 -64 848 -96
WIRE 608 -48 592 -48
WIRE 624 -48 608 -48
WIRE 624 32 624 0
WIRE 672 32 672 16
WIRE 672 32 624 32
WIRE 672 48 672 32
WIRE 848 48 848 16
WIRE -256 64 -288 64
WIRE -80 64 -96 64
WIRE 16 64 0 64
WIRE 48 64 16 64
WIRE 160 64 128 64
WIRE 192 64 160 64
WIRE 304 64 272 64
WIRE 320 64 304 64
WIRE 480 64 400 64
WIRE 160 96 160 64
WIRE 480 96 480 64
WIRE -288 112 -288 64
WIRE -336 128 -352 128
WIRE 592 144 592 -48
WIRE 672 144 592 144
WIRE 720 144 672 144
WIRE 848 144 832 144
WIRE 848 160 848 144
WIRE -528 176 -560 176
WIRE -368 176 -384 176
WIRE -336 176 -368 176
WIRE 592 176 592 144
WIRE 672 176 672 144
WIRE -288 208 -288 192
WIRE -288 208 -320 208
WIRE 160 208 160 176
WIRE 480 208 480 176
WIRE -288 224 -288 208
WIRE -560 240 -560 176
WIRE -528 240 -560 240
WIRE -368 240 -384 240
WIRE -336 240 -368 240
WIRE 672 256 672 240
WIRE 848 256 848 240
WIRE -336 288 -352 288
WIRE -560 304 -560 240
WIRE -288 352 -288 304
WIRE -256 352 -288 352
WIRE -80 352 -96 352
WIRE 16 352 0 352
WIRE 48 352 16 352
WIRE 160 352 128 352
WIRE 192 352 160 352
WIRE 304 352 272 352
WIRE 320 352 304 352
WIRE 480 352 400 352
WIRE 592 352 592 256
WIRE 720 352 592 352
WIRE 160 384 160 352
WIRE 480 384 480 352
WIRE 592 384 592 352
WIRE -560 400 -560 384
WIRE 160 496 160 464
WIRE 480 496 480 464
WIRE 592 496 592 448
FLAG 160 496 0
FLAG 160 208 0
FLAG -560 400 0
FLAG 704 -96 rpm
IOPIN 704 -96 Out
FLAG 720 144 w
IOPIN 720 144 Out
FLAG 720 352 rt
IOPIN 720 352 Out
FLAG -96 64 X
IOPIN -96 64 In
FLAG -96 352 Y
IOPIN -96 352 In
FLAG 480 208 0
FLAG 480 496 0
FLAG 608 -48 w
FLAG 672 48 0
FLAG 672 256 0
FLAG 592 496 0
FLAG 160 64 Xm
FLAG 304 64 Xr
FLAG 160 352 Ym
FLAG 304 352 Yr
FLAG -256 64 X
IOPIN -256 64 Out
FLAG 16 64 Xs
FLAG 16 352 Ys
FLAG 480 64 Xemf
FLAG 480 352 Yemf
FLAG 848 48 0
FLAG 880 -96 rs
IOPIN 880 -96 Out
FLAG 832 144 w
FLAG 848 256 0
FLAG -352 128 0
FLAG -256 352 Y
IOPIN -256 352 Out
FLAG -352 288 0
FLAG -320 208 0
FLAG -560 176 f
FLAG -368 176 s
FLAG -368 240 c
SYMBOL voltage -560 288 R0
WINDOW 123 0 0 Left 2
WINDOW 39 24 124 Left 2
SYMATTR InstName V1
SYMATTR Value PWL(0 1m 1.1 1)
SYMATTR SpiceLine Rser=1 Cpar=.1
SYMBOL SpecialFunctions\\modulate2 -528 176 R0
WINDOW 0 0 -48 Left 2
WINDOW 3 0 -80 Left 2
SYMATTR InstName A1
SYMATTR Value Mark={fm}
SYMATTR Value2 Space=0 tripdt=1u
SYMBOL e2 -288 96 R0
SYMATTR InstName Ex
SYMATTR Value { Vp}
SYMBOL e2 -288 320 M180
SYMATTR InstName Ey
SYMATTR Value {-Vp}
SYMBOL res -96 80 R270
WINDOW 0 32 56 VTop 2
WINDOW 3 0 56 VBottom 2
SYMATTR InstName Rsx
SYMATTR Value {Rs}
SYMBOL ind2 32 80 R270
WINDOW 0 32 56 VTop 2
WINDOW 3 5 56 VBottom 2
SYMATTR InstName Lsx
SYMATTR Value {Lls}
SYMATTR Type ind
SYMATTR SpiceLine Rser=0
SYMBOL ind2 144 80 R0
WINDOW 0 40 40 Left 2
WINDOW 3 0 64 Invisible 2
WINDOW 39 40 88 Left 2
SYMATTR InstName Lmx
SYMATTR Value Bs={Bs} Br={Br} Hc={Hc} A={A} Lm={Lm} Lg={Lg} N={N}
SYMATTR Type ind
SYMATTR SpiceLine Rpar=9k
SYMBOL ind2 176 80 R270
WINDOW 0 32 56 VTop 2
WINDOW 3 4 56 VBottom 2
SYMATTR InstName Lrx
SYMATTR Value {Llr}
SYMATTR Type ind
SYMATTR SpiceLine Rser=0
SYMBOL res 304 80 R270
WINDOW 0 32 56 VTop 2
WINDOW 3 0 56 VBottom 2
SYMATTR InstName Rrx
SYMATTR Value {Rr}
SYMBOL bv 480 80 R0
WINDOW 3 64 160 Right 2
SYMATTR Value V=-Np*V(w)*sdt(V(Yr))
SYMATTR InstName Bx
SYMBOL res -96 368 R270
WINDOW 0 32 56 VTop 2
WINDOW 3 0 56 VBottom 2
SYMATTR InstName Rsy
SYMATTR Value {Rs}
SYMBOL ind2 32 368 R270
WINDOW 0 32 56 VTop 2
WINDOW 3 5 56 VBottom 2
SYMATTR InstName Lsy
SYMATTR Value {Lls}
SYMATTR Type ind
SYMATTR SpiceLine Rser=0
SYMBOL ind2 144 368 R0
WINDOW 0 40 40 Left 2
WINDOW 3 0 64 Invisible 2
WINDOW 39 40 88 Left 2
SYMATTR InstName Lmy
SYMATTR Value Bs={Bs} Br={Br} Hc={Hc} A={A} Lm={Lm} Lg={Lg} N={N}
SYMATTR Type ind
SYMATTR SpiceLine Rpar=9k
SYMBOL ind2 176 368 R270
WINDOW 0 32 56 VTop 2
WINDOW 3 4 56 VBottom 2
SYMATTR InstName Lry
SYMATTR Value {Llr}
SYMATTR Type ind
SYMATTR SpiceLine Rser=0
SYMBOL res 304 368 R270
WINDOW 0 32 56 VTop 2
WINDOW 3 0 56 VBottom 2
SYMATTR InstName Rry
SYMATTR Value {Rr}
SYMBOL bv 480 368 R0
WINDOW 3 64 160 Right 2
SYMATTR Value V=Np*V(w)*sdt(V(Xr))
SYMATTR InstName By
SYMBOL bi 592 256 M180
WINDOW 0 24 80 Left 2
WINDOW 3 13 -51 Left 2
SYMATTR InstName Brt
SYMATTR Value I=Np*(sdt(V(Xm))*I(Lry)-sdt(V(Ym))*I(Lrx))
SYMBOL cap 656 176 R0
SYMATTR InstName Cw
SYMATTR Value {J}
SYMBOL cap 576 384 R0
WINDOW 39 24 84 Left 2
SYMATTR SpiceLine Rpar=-1
SYMATTR InstName Crt
SYMATTR Value -1µ
SYMBOL res 832 144 R0
SYMATTR InstName Rf
SYMATTR Value R=limit(1,1G,100k/V(w))
SYMBOL e 672 -80 R0
SYMATTR InstName Erpm
SYMATTR Value {60/2/Pi}
SYMBOL bv 848 -80 R0
WINDOW 3 14 106 Left 2
SYMATTR Value V=100*(1-Ks*V(w)/V(f))
SYMATTR InstName Brs
TEXT 352 -256 Bottom 4 ;Simplified 2-Phase Induction Motor (with saturation)
TEXT -544 -224 Left 2 ;Motor Specifications:\n1.5kW 1420 rpm (1500)\n240V 50Hz 3-Phase\n(2-ph simplified model)
TEXT -544 -32 Left 2 ;Variable Frequency Drive
TEXT -544 0 Left 2 !.param ; VFD\n+ fm=100\n+ Vp=600
TEXT -128 -224 Left 2 !.param ; Motor Characteristics\n+ Np=2 ; Stator Pole Number\n+ J=0.03 ; Moment of Inertia\n+ Ls=262m ; Stator Mutual Inductance\n+ Lls=12m; Stator Leakage Inductance\n+ Llr=20m ; Rotor Leakage Inductance\n+ Rs=4.9 ; Stator Resistance\n+ Rr=3.8 ; Rotor Resistance
TEXT -128 224 Left 2 !.param N=475\n+ Bs=1.8 Br=0.5 Hc=40\n+ A=1m5 Lm=0.2 Lg=1m5
TEXT 352 -224 Left 2 !.param ; Slip Constant\n+ Ks=Np/(fm*2*Pi)
TEXT 184 144 Left 2 ;262m
TEXT 184 432 Left 2 ;262m
TEXT 608 104 Left 2 ;Angular Velocity
TEXT 672 392 Left 2 ;Rotational Torque
TEXT 672 -120 Bottom 2 ;Revolutions\nPer Minute
TEXT 896 -24 Left 2 ;Rotor Slip (0-100)
TEXT 920 152 Left 2 ;Optional\nFrictional Loss
TEXT -544 504 Left 2 !.tran 0 {2+1u} 1u startup uic