Symbolic Linear Circuit Analysis Program

Just a filter 

.symbolic gain matrix
matrix([[0], [0], [0], [V_s], [0], [0], [0]])=matrix([[C_a*s, -C_a*s, 0, 1, 1, 0, 0], [-C_a*s, 1/R_L + 3*C_a*s, - 1/R_L - 2*C_a*s, 0, 0, 1, 1], [0, - 1/R_L - 2*C_a*s, 1/R_L + 3*C_a*s, 0, -1, 0, -1], [1, 0, 0, 0, 0, 0, 0], [1, 0, -1, 0, -L_a*s, 0, 0], [0, 1, 0, 0, 0, -L_a*s, 0], [0, 1, -1, 0, 0, 0, -2*L_a*s]])*matrix([[V_1], [V_2], [V_3], [I_V_in], [I_L_1], [I_L_2], [I_L_3]])

.symbolic gain fourier
1/V_in*(V_2 - V_3)=-1.0*(4.0*C_a*L_a*PI^2*R_L*f^2 + R_L)/(- 20.0*C_a*L_a*PI^2*R_L*f^2 + L_a*PI*f*4.0*I + 2.0*R_L)

.numeric gain pz
The zero-frequency value of GAIN = -0.5 [-].

Poles of GAIN; units HZ

  Real part     Imaginary part     Magnitude        Q
1    -31.83 E 3          3.183 E 6     3.183 E 6 50.0
2    -31.83 E 3         -3.183 E 6     3.183 E 6 50.0

Zeros of GAIN; units HZ

  Real part     Imaginary part     Magnitude     Q
1    -5.033 E 6              0 - -     5.033 E 6 -
2     5.033 E 6              0 - -     5.033 E 6 -
 
.plot gain pz
Plot: slicap-gain-pz.png

.plot gain step .t 0 1.5u
Plot: slicap-gain-step-_t-0-1_5u.png


Text output generated by SLiCAP (Symbolic Linear Circuit Analysis Program); a MuPAD application. SLiCAP (c) 2008-2009, Montagne Design \& Consultancy, Delft, The Netherlands. MuPAD Pro 4.0.6. 'The Open Computer Algebra System' (c) 1997-2008, is a product of SciFace Software. Total SLiCAP version 3.1  processing time: 4.35 seconds (limit=600 seconds).