Tranform a systems of equations to for loop

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letoppina
letoppina 2021-3-18
评论： Walter Roberson 2021-3-31
Hello everyone, I hav the following systems of equations:
syms Qc Qh Qm1 Qm2 Qm3 T1 T2 T3
eqn1 = Qm1 - Qc == q0 - Pc - qw/2 ;
eqn2 = T1 + Rc*Qc == T0;
eqn3 = T2 - T1 + R1/2*Qm1 == R1/2*q0;
eqn4 = T2 - Rg0/2*Qm1 + Rg0/2*Qm2 == T0;
eqn5 = T3 - T2 + R1/2*Qm2 == R1/2*q0;
eqn6 = T3 - Rg0/2*Qm2 + Rg0/2*Qm3 == T0;
eqn7 = Qh + Qm3 == Ph - q0 + qw/2;
eqn8 = T3 - Rh*Qh == T0;
[A,B] = equationsToMatrix([eqn1, eqn2, eqn3, eqn4, eqn5, eqn6, eqn7, eqn8], [Qc Qh Qm1 Qm2 Qm3 T1 T2 T3]);
X = linsolve(A,B);
Is there a way to transform these systems of equations to a simpler and faster way to calculate the unknwowns variables (like a for loop)?
Thanks in advance!

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回答（1 个）

Walter Roberson
Walter Roberson 2021-3-18
No, linsolve is pretty efficient.
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letoppina
letoppina 2021-3-31
Could you show me how to code it? I am a beginner in matlab
Walter Roberson
Walter Roberson 2021-3-31
Ran in:
q0vals = [-1, 0, 1];
syms Pc Ph q0 qw R1 Rc Rg0 Rh T0 %replace these with actual constants
syms Qc Qh Qm1 Qm2 Qm3 T1 T2 T3
eqn1 = Qm1 - Qc == q0 - Pc - qw/2 ;
eqn2 = T1 + Rc*Qc == T0;
eqn3 = T2 - T1 + R1/2*Qm1 == R1/2*q0;
eqn4 = T2 - Rg0/2*Qm1 + Rg0/2*Qm2 == T0;
eqn5 = T3 - T2 + R1/2*Qm2 == R1/2*q0;
eqn6 = T3 - Rg0/2*Qm2 + Rg0/2*Qm3 == T0;
eqn7 = Qh + Qm3 == Ph - q0 + qw/2;
eqn8 = T3 - Rh*Qh == T0;
[A,B] = equationsToMatrix([eqn1, eqn2, eqn3, eqn4, eqn5, eqn6, eqn7, eqn8], [Qc Qh Qm1 Qm2 Qm3 T1 T2 T3]);
Bmat = subs(B, q0, q0vals)
Bmat = 
X = simplify(A\Bmat);
X
X = 

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