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syms v1 v2 v4 P3ref
7 C5 ~: M( ~% n+ [* i$ s% \syms i12 i13 i14 i24 i34
, B! [; o) m# t2 d7 P; y7 Y! B
a% H9 B5 Q5 G2 ^r = 0.01; 5 J1 \. {# g% K$ P
R12 = 75*r; R13 = 125*r; R14 = 200*r; R24 = 150*r; R34 = 175*r;! d0 W4 b. ]; r; W
6 I* [( M0 d) V' Y
P1ref = 175e6; P2ref = 35e6; P4ref = 140e6; v3ref = 100e3;6 j5 o6 j# _; |5 `, m& O" T# W* S4 F
v3 = v3ref;
7 ]" a+ b7 O/ g& b3 k, K
2 K$ S8 {$ F+ k; }$ heq1 = P1ref/v1 - (i13 + i12 + i14)==0;+ P8 I( H+ }. A2 ~8 E, M2 ?) E
eq2 = P2ref/v2 - (-i12 + i24)==0;
+ [6 C# N/ G+ S4 `! \eq3 = P3ref/v3 - (i13 - i34)==0;
6 J0 _7 R- R2 G! Deq4 = P4ref/v4 - (i34 + i14 + i24)==0;
+ `& a+ o X, [4 Neq5 = (v1 - v3)/R13 - i13==0;
1 @2 h' f8 i N7 x! Leq6 = (v1 - v4)/R14 - i14==0;
( v. u& \+ R; Y$ Teq7 = (v1 - v2)/R12 - i12==0;
6 U/ ? u; [% @+ E5 @4 o Ceq8 = (v2 - v4)/R24 - i24==0;
5 u; D2 H% w6 Y* r: w! J! seq9 = (v3 - v4)/R34 - i34==0;4 _3 y% F! _* w% ]% \' ^/ @
eqns=[eq1,eq2,eq3,eq4,eq5,eq6,eq7,eq8,eq9]. M2 d& I H% F% _+ s' e0 |
vars=[v1,v2,v4,P3ref,i12,i13,i14,i24,i34]
' i# Q. ?2 J0 c t% T! }
7 L) f8 ?7 C/ ^7 ms = vpasolve(eqns,vars) |
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