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3×3 SISO State Space in LTspice
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| .subckt siso33ss U Y | |
| G11 0 X1 X1 0 {a11} | |
| G12 0 X1 X2 0 {a12} | |
| G13 0 X1 X3 0 {a13} | |
| G21 0 X2 X1 0 {a21} | |
| G22 0 X2 X2 0 {a22} | |
| G23 0 X2 X3 0 {a23} | |
| G31 0 X3 X1 0 {a31} | |
| G32 0 X3 X2 0 {a32} | |
| G33 0 X3 X3 0 {a33} | |
| G1 0 X1 U 0 {b1} | |
| G2 0 X2 U 0 {b2} | |
| G3 0 X3 U 0 {b3} | |
| C1 X1 0 1 | |
| C2 X2 0 1 | |
| C3 X3 0 1 | |
| E1 Y AUX12 X1 0 {c1} | |
| E2 AUX12 AUX23 X2 0 {c2} | |
| E3 AUX23 0 X3 0 {c3} | |
| .ends siso33ss |
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| Version 4 | |
| SHEET 1 2444 1588 | |
| WIRE 304 320 288 320 | |
| WIRE 336 320 304 320 | |
| WIRE 496 320 416 320 | |
| WIRE 576 320 496 320 | |
| WIRE 736 320 576 320 | |
| WIRE 896 320 736 320 | |
| WIRE 992 320 896 320 | |
| WIRE 1040 320 992 320 | |
| WIRE 1136 320 1088 320 | |
| WIRE 1152 320 1136 320 | |
| WIRE 416 336 416 320 | |
| WIRE 576 336 576 320 | |
| WIRE 736 336 736 320 | |
| WIRE 896 336 896 320 | |
| WIRE 992 336 992 320 | |
| WIRE 1088 336 1088 320 | |
| WIRE 336 352 336 320 | |
| WIRE 368 352 336 352 | |
| WIRE 496 352 496 320 | |
| WIRE 528 352 496 352 | |
| WIRE 688 352 656 352 | |
| WIRE 848 352 816 352 | |
| WIRE 1040 352 1040 320 | |
| WIRE 1088 448 1088 416 | |
| WIRE 576 464 416 464 | |
| WIRE 656 464 656 352 | |
| WIRE 656 464 576 464 | |
| WIRE 736 464 656 464 | |
| WIRE 896 464 736 464 | |
| WIRE 992 464 896 464 | |
| WIRE 1040 464 992 464 | |
| WIRE 416 480 416 464 | |
| WIRE 576 480 576 464 | |
| WIRE 736 480 736 464 | |
| WIRE 896 480 896 464 | |
| WIRE 992 480 992 464 | |
| WIRE 1088 480 1088 448 | |
| WIRE 336 496 336 352 | |
| WIRE 368 496 336 496 | |
| WIRE 496 496 496 352 | |
| WIRE 528 496 496 496 | |
| WIRE 656 496 656 464 | |
| WIRE 688 496 656 496 | |
| WIRE 816 496 816 352 | |
| WIRE 848 496 816 496 | |
| WIRE 1040 496 1040 464 | |
| WIRE 1088 592 1088 560 | |
| WIRE 576 608 416 608 | |
| WIRE 736 608 576 608 | |
| WIRE 816 608 816 496 | |
| WIRE 816 608 736 608 | |
| WIRE 896 608 816 608 | |
| WIRE 992 608 896 608 | |
| WIRE 1040 608 992 608 | |
| WIRE 416 624 416 608 | |
| WIRE 576 624 576 608 | |
| WIRE 736 624 736 608 | |
| WIRE 896 624 896 608 | |
| WIRE 992 624 992 608 | |
| WIRE 1088 624 1088 592 | |
| WIRE 336 640 336 496 | |
| WIRE 368 640 336 640 | |
| WIRE 496 640 496 496 | |
| WIRE 528 640 496 640 | |
| WIRE 656 640 656 496 | |
| WIRE 688 640 656 640 | |
| WIRE 816 640 816 608 | |
| WIRE 848 640 816 640 | |
| WIRE 1040 640 1040 608 | |
| FLAG 992 400 0 | |
| FLAG 992 544 0 | |
| FLAG 992 688 0 | |
| FLAG 528 400 0 | |
| FLAG 688 400 0 | |
| FLAG 848 400 0 | |
| FLAG 848 544 0 | |
| FLAG 688 544 0 | |
| FLAG 528 544 0 | |
| FLAG 528 688 0 | |
| FLAG 688 688 0 | |
| FLAG 848 688 0 | |
| FLAG 576 416 0 | |
| FLAG 736 416 0 | |
| FLAG 896 416 0 | |
| FLAG 576 560 0 | |
| FLAG 736 560 0 | |
| FLAG 896 560 0 | |
| FLAG 576 704 0 | |
| FLAG 736 704 0 | |
| FLAG 896 704 0 | |
| FLAG 416 416 0 | |
| FLAG 416 560 0 | |
| FLAG 416 704 0 | |
| FLAG 368 688 0 | |
| FLAG 368 544 0 | |
| FLAG 368 400 0 | |
| FLAG 1088 704 0 | |
| FLAG 1040 400 0 | |
| FLAG 1040 544 0 | |
| FLAG 1040 688 0 | |
| FLAG 304 320 U | |
| FLAG 1136 320 Y | |
| FLAG 992 320 X1 | |
| FLAG 992 464 X2 | |
| FLAG 992 608 X3 | |
| FLAG 1088 448 AUX12 | |
| FLAG 1088 592 AUX23 | |
| SYMBOL g 576 320 R0 | |
| SYMATTR InstName G11 | |
| SYMATTR Value {a11} | |
| SYMBOL g 736 320 R0 | |
| SYMATTR InstName G12 | |
| SYMATTR Value {a12} | |
| SYMBOL g 896 320 R0 | |
| SYMATTR InstName G13 | |
| SYMATTR Value {a13} | |
| SYMBOL g 576 464 R0 | |
| SYMATTR InstName G21 | |
| SYMATTR Value {a21} | |
| SYMBOL g 736 464 R0 | |
| SYMATTR InstName G22 | |
| SYMATTR Value {a22} | |
| SYMBOL g 896 464 R0 | |
| SYMATTR InstName G23 | |
| SYMATTR Value {a23} | |
| SYMBOL g 576 608 R0 | |
| SYMATTR InstName G31 | |
| SYMATTR Value {a31} | |
| SYMBOL g 736 608 R0 | |
| SYMATTR InstName G32 | |
| SYMATTR Value {a32} | |
| SYMBOL g 896 608 R0 | |
| SYMATTR InstName G33 | |
| SYMATTR Value {a33} | |
| SYMBOL g 416 320 R0 | |
| SYMATTR InstName G1 | |
| SYMATTR Value {b1} | |
| SYMBOL g 416 464 R0 | |
| SYMATTR InstName G2 | |
| SYMATTR Value {b2} | |
| SYMBOL g 416 608 R0 | |
| SYMATTR InstName G3 | |
| SYMATTR Value {b3} | |
| SYMBOL cap 976 336 R0 | |
| SYMATTR InstName C1 | |
| SYMATTR Value 1 | |
| SYMBOL cap 976 480 R0 | |
| SYMATTR InstName C2 | |
| SYMATTR Value 1 | |
| SYMBOL cap 976 624 R0 | |
| SYMATTR InstName C3 | |
| SYMATTR Value 1 | |
| SYMBOL e 1088 320 R0 | |
| SYMATTR InstName E1 | |
| SYMATTR Value {c1} | |
| SYMBOL e 1088 464 R0 | |
| SYMATTR InstName E2 | |
| SYMATTR Value {c2} | |
| SYMBOL e 1088 608 R0 | |
| SYMATTR InstName E3 | |
| SYMATTR Value {c3} |
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| .subckt albe_dq ALPHA BETA D Q | |
| V1 SIN 0 SINE(0 1 {f} 0 0 0) | |
| V2 COS 0 SINE(0 1 {f} 0 0 90) | |
| B1 D 0 V=V(ALPHA)*V(SIN)-V(BETA)*V(COS) | |
| B2 Q 0 V=V(ALPHA)*V(COS)+V(BETA)*V(SIN) | |
| .ends albe_dq |
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| Version 4 | |
| SHEET 1 2444 1588 | |
| FLAG 784 16 0 | |
| FLAG 784 144 0 | |
| FLAG 864 16 SIN | |
| IOPIN 864 16 Out | |
| FLAG 864 144 COS | |
| IOPIN 864 144 Out | |
| FLAG 752 272 ALPHA | |
| IOPIN 752 272 In | |
| FLAG 752 400 BETA | |
| IOPIN 752 400 In | |
| FLAG 864 272 D | |
| IOPIN 864 272 Out | |
| FLAG 864 400 Q | |
| IOPIN 864 400 Out | |
| FLAG 784 272 0 | |
| FLAG 784 400 0 | |
| SYMBOL voltage 880 16 R90 | |
| WINDOW 0 -32 56 VBottom 2 | |
| WINDOW 3 32 56 VTop 2 | |
| WINDOW 123 0 0 Left 2 | |
| WINDOW 39 0 0 Left 2 | |
| SYMATTR InstName V1 | |
| SYMATTR Value SINE(0 1 {f} 0 0 0) | |
| SYMBOL voltage 880 144 R90 | |
| WINDOW 0 -32 56 VBottom 2 | |
| WINDOW 3 32 56 VTop 2 | |
| WINDOW 123 0 0 Left 2 | |
| WINDOW 39 0 0 Left 2 | |
| SYMATTR InstName V2 | |
| SYMATTR Value SINE(0 1 {f} 0 0 90) | |
| SYMBOL bv 880 272 R90 | |
| WINDOW 0 -32 56 VBottom 2 | |
| WINDOW 3 32 56 VTop 2 | |
| SYMATTR InstName B1 | |
| SYMATTR Value V=V(ALPHA)*V(SIN)-V(BETA)*V(COS) | |
| SYMBOL bv 880 400 R90 | |
| WINDOW 0 -32 56 VBottom 2 | |
| WINDOW 3 32 56 VTop 2 | |
| SYMATTR InstName B2 | |
| SYMATTR Value V=V(ALPHA)*V(COS)+V(BETA)*V(SIN) |
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| .subckt dq_albe D Q ALPHA BETA | |
| V1 SIN 0 SINE(0 1 {f} 0 0 0) | |
| V2 COS 0 SINE(0 1 {f} 0 0 90) | |
| B1 ALPHA 0 V=V(D)*V(SIN)+V(Q)*V(COS) | |
| B2 BETA 0 V=-V(D)*V(COS)+V(Q)*V(SIN) | |
| .ends dq_albe |
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| Version 4 | |
| SHEET 1 2444 1588 | |
| FLAG 784 16 0 | |
| FLAG 784 144 0 | |
| FLAG 864 16 SIN | |
| IOPIN 864 16 Out | |
| FLAG 864 144 COS | |
| IOPIN 864 144 Out | |
| FLAG 752 272 D | |
| IOPIN 752 272 In | |
| FLAG 752 400 Q | |
| IOPIN 752 400 In | |
| FLAG 864 272 ALPHA | |
| IOPIN 864 272 Out | |
| FLAG 864 400 BETA | |
| IOPIN 864 400 Out | |
| FLAG 784 272 0 | |
| FLAG 784 400 0 | |
| SYMBOL voltage 880 16 R90 | |
| WINDOW 0 -32 56 VBottom 2 | |
| WINDOW 3 32 56 VTop 2 | |
| WINDOW 123 0 0 Left 2 | |
| WINDOW 39 0 0 Left 2 | |
| SYMATTR InstName V1 | |
| SYMATTR Value SINE(0 1 {f} 0 0 0) | |
| SYMBOL voltage 880 144 R90 | |
| WINDOW 0 -32 56 VBottom 2 | |
| WINDOW 3 32 56 VTop 2 | |
| WINDOW 123 0 0 Left 2 | |
| WINDOW 39 0 0 Left 2 | |
| SYMATTR InstName V2 | |
| SYMATTR Value SINE(0 1 {f} 0 0 90) | |
| SYMBOL bv 880 272 R90 | |
| WINDOW 0 -32 56 VBottom 2 | |
| WINDOW 3 32 56 VTop 2 | |
| SYMATTR InstName B1 | |
| SYMATTR Value V=V(D)*V(SIN)+V(Q)*V(COS) | |
| SYMBOL bv 880 400 R90 | |
| WINDOW 0 -32 56 VBottom 2 | |
| WINDOW 3 32 56 VTop 2 | |
| SYMATTR InstName B2 | |
| SYMATTR Value V=-V(D)*V(COS)+V(Q)*V(SIN) |
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| .subckt virt_beta ALPHA BETA | |
| C1 1 0 {1/(2*pi*f)} | |
| C2 BETA 0 {1/(2*pi*f)} | |
| G1 0 1 0 1 1 | |
| G2 0 1 0 BETA 1 | |
| G3 0 1 ALPHA 0 1 | |
| G5 0 BETA 1 0 1 | |
| .ends virt_beta |
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| Version 4 | |
| SHEET 1 2444 1588 | |
| WIRE 592 352 480 352 | |
| WIRE 704 352 592 352 | |
| WIRE 768 352 704 352 | |
| WIRE 896 352 768 352 | |
| WIRE 928 352 896 352 | |
| WIRE 1040 352 976 352 | |
| WIRE 1168 352 1040 352 | |
| WIRE 1200 352 1168 352 | |
| WIRE 480 368 480 352 | |
| WIRE 592 368 592 352 | |
| WIRE 704 368 704 352 | |
| WIRE 768 368 768 352 | |
| WIRE 976 368 976 352 | |
| WIRE 1040 368 1040 352 | |
| WIRE 928 384 928 352 | |
| WIRE 656 480 656 432 | |
| WIRE 896 480 896 352 | |
| WIRE 896 480 656 480 | |
| WIRE 544 496 544 432 | |
| WIRE 1168 496 1168 352 | |
| WIRE 1168 496 544 496 | |
| FLAG 432 384 ALPHA | |
| IOPIN 432 384 In | |
| FLAG 1200 352 BETA | |
| IOPIN 1200 352 In | |
| FLAG 592 448 0 | |
| FLAG 704 448 0 | |
| FLAG 976 448 0 | |
| FLAG 1040 432 0 | |
| FLAG 928 432 0 | |
| FLAG 480 448 0 | |
| FLAG 432 432 0 | |
| FLAG 768 432 0 | |
| FLAG 656 384 0 | |
| FLAG 544 384 0 | |
| SYMBOL cap 752 368 R0 | |
| SYMATTR InstName C1 | |
| SYMATTR Value {1/(2*pi*f)} | |
| SYMBOL cap 1024 368 R0 | |
| SYMATTR InstName C2 | |
| SYMATTR Value {1/(2*pi*f)} | |
| SYMBOL g 704 352 R0 | |
| SYMATTR InstName G1 | |
| SYMATTR Value 1 | |
| SYMBOL g 592 352 R0 | |
| SYMATTR InstName G2 | |
| SYMATTR Value 1 | |
| SYMBOL g 480 352 R0 | |
| SYMATTR InstName G3 | |
| SYMATTR Value 1 | |
| SYMBOL g 976 352 R0 | |
| SYMATTR InstName G5 | |
| SYMATTR Value 1 |
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| * f Vmin Vmax Von Voff | |
| .subckt PWM_GENERATOR IN PWM1 PWM2 | |
| V1 1 0 PULSE({Vmin} {Vmax} 0 {.5/f} {.5/f} 0 {1/f}) | |
| B2 PWM1 0 V=if(V(IN)>V(1),Von,Voff) | |
| B3 PWM2 0 V=if(V(IN)<V(1),Von,Voff) | |
| .ends |
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