Just a filter

.symbolic gain matrix

( ) ( ) ( ) 0 Ca s - Cas 0 1 1 0 0 V1 || 0 || || - Cas R1L + 3Cas - 1RL - 2 Cas 0 0 1 1 || || V2 || || 0 || || 0 - 1RL - 2 Cas R1L + 3Cas 0 - 1 0 - 1 || || V3 || || Vs || = || 1 0 0 0 0 0 0 || || IVin || || 0 || || 1 0 - 1 0 - La s 0 0 || || IL1 || ( 0 ) ( 0 1 0 0 0 - Las 0 ) ( IL2 ) 0 0 1 - 1 0 0 0 - 2 Las IL3

.symbolic gain fourier

( ) V2---V3 -----1.0-4.0CaLa-π2RL-f2 +-RL------- Vin = - - 20.0 CaLa π2RL f2 + πLa f 4.0i+ 2.0 RL

.numeric gain pz

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

Poles of GAIN; units HZ.


Poles	Real part	Imaginary part	Magnitude	Q

1	-31.83 × 10³	3.183 × 10⁶	3.183 × 10⁶	50.0
2	-31.83 × 10³	-3.183 × 10⁶	3.183 × 10⁶	50.0

Zeros of GAIN; units HZ.


Zeros	Real part	Imaginary part	Magnitude	Q

1	-5.033 × 10⁶	0	5.033 × 10⁶	-
2	5.033 × 10⁶	0	5.033 × 10⁶	-

.plot gain pz

Figure 1:

slicap-gain-pz.png

.plot gain step .t 0 1.5u

Figure 2:

slicap-gain-step-_t-0-1_5u.png

About

LATEX generated by SLiCAP (Symbolic Linear Circuit Analysis Program): a MuPAD application. SLiCAP ©2008-2009, Montagne Design & Consultancy, Delft, The Netherlands. MuPAD Pro 4.0.6. ’The Open Computer Algebra System’ ©1997-2008, is a product of SciFace Software. May 18, 2009, total SLiCAP version 3.1 processing time: 4.35 seconds (limit=600 seconds).