problem in finding Transfer function

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chess2009

Joined Jun 19, 2015
4
Hi everyone
I found the transfer function of following circuit to have 5 poles and 2 zeros. Assume current in first loop is I1 from left, second loop is I2, third one is I3 no current is going through 4th loop.
These are KVL equations I wrote:

-v1+3*I1+(1/(S*C1))*I1+(1/(S*C2))*(I1-I2);

(1/(S*C2))*(I2-I1)+S*L1*I2+S*M*I3;


S*L2*I3+S*M*I2+(1/(S*C3))*(I3)
v2=1/(s*C3)*I3
I is very hard to solve this by Matlab. However Simulink gives me this transfer function :

Thanks everyone for help.
 

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