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syms v1 v2 v4 P3ref
; K, J1 [3 s5 P- i( l1 Dsyms i12 i13 i14 i24 i34
! V% H6 b9 U7 J0 f9 g3 m' O: x0 X! v: p. I- ~
r = 0.01;
/ ~! J5 ^1 T& VR12 = 75*r; R13 = 125*r; R14 = 200*r; R24 = 150*r; R34 = 175*r;
8 s( H( {4 T, a k; Q7 u
; f! a" l1 _, w/ jP1ref = 175e6; P2ref = 35e6; P4ref = 140e6; v3ref = 100e3;
' h0 k' y; U. ~, L) }v3 = v3ref;
6 x$ a5 L0 z" ]# C) ^! {
" v% h; h$ S) l3 e, W3 neq1 = P1ref/v1 - (i13 + i12 + i14)==0;
; y" K9 q- n$ X4 r6 oeq2 = P2ref/v2 - (-i12 + i24)==0;
5 I3 J1 ?$ z% q7 n. g7 Req3 = P3ref/v3 - (i13 - i34)==0;5 H) c. U- l' r% |
eq4 = P4ref/v4 - (i34 + i14 + i24)==0;6 q3 M1 h! K0 ^. _ g1 y6 m, M" ?! \
eq5 = (v1 - v3)/R13 - i13==0;; h+ S1 l* Y* Q$ B: ~
eq6 = (v1 - v4)/R14 - i14==0;
. D5 l/ {: K9 D P* ?& Eeq7 = (v1 - v2)/R12 - i12==0;' d j5 E h- ^) x k
eq8 = (v2 - v4)/R24 - i24==0;0 q2 l- j6 ^# x+ l+ V4 Q G
eq9 = (v3 - v4)/R34 - i34==0; l" a9 ^9 ?8 T
eqns=[eq1,eq2,eq3,eq4,eq5,eq6,eq7,eq8,eq9]
6 S* C. S( Q; _ {5 W1 g, n2 {( tvars=[v1,v2,v4,P3ref,i12,i13,i14,i24,i34]+ ?1 M+ m) y; ~ D& u }3 X
* |# [' }' p/ Y7 |& K+ M8 b
s = vpasolve(eqns,vars) |
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