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syms v1 v2 v4 P3ref! a2 W+ T; `1 G; B0 _# U) }0 l3 I- S
syms i12 i13 i14 i24 i34$ s% q* c2 W# O2 }0 X5 X' I
# J- T, g3 b# hr = 0.01; 2 V9 V" F! A) }
R12 = 75*r; R13 = 125*r; R14 = 200*r; R24 = 150*r; R34 = 175*r;1 }9 Q! R( Y& x
% t5 K% E6 q" l* s1 U! u" zP1ref = 175e6; P2ref = 35e6; P4ref = 140e6; v3ref = 100e3;
/ ^4 a9 n: N9 t8 gv3 = v3ref;
" f" ]5 G" U2 q9 o3 C3 X: f6 O/ K0 n# z
eq1 = P1ref/v1 - (i13 + i12 + i14)==0;
" } n: ]: z: \% [eq2 = P2ref/v2 - (-i12 + i24)==0;
/ K3 k9 `7 x# L; `* T' Meq3 = P3ref/v3 - (i13 - i34)==0;. _; A, v+ s, j- h; U0 P
eq4 = P4ref/v4 - (i34 + i14 + i24)==0;( q! l) r+ `" R$ o
eq5 = (v1 - v3)/R13 - i13==0;/ Y" y; ~) \3 ?- h
eq6 = (v1 - v4)/R14 - i14==0;
1 B! @; _/ t2 H& meq7 = (v1 - v2)/R12 - i12==0;5 {: H& S3 ]+ D/ r6 r, ^% n! {' [' S" u
eq8 = (v2 - v4)/R24 - i24==0;
7 y3 g% n- E" M- ieq9 = (v3 - v4)/R34 - i34==0;5 Q% w5 M5 L) P: x
eqns=[eq1,eq2,eq3,eq4,eq5,eq6,eq7,eq8,eq9]
/ x5 T3 U1 o3 a; a# Z7 pvars=[v1,v2,v4,P3ref,i12,i13,i14,i24,i34]
- \( f& [4 e, M; T! g" a I7 U4 g3 `3 w s
s = vpasolve(eqns,vars) |
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