Root-locus study

.symbolic gain laplace

\frac{V_{o u t}}{V_{i n}} = \frac{248.1 A_{D C} p_{1} p_{2} z_{1}}{6.283 z_{1} (s - 6.283 p_{1}) (s - 6.283 p_{2}) - 39.48 A_{D C} K_{D C} p_{1} p_{2} (s - 6.283 z_{1})}

.numeric gain laplace

\frac{V_{o u t}}{V_{i n}} = \frac{9.999}{(7.081 \cdot 1 0^{- 8}) s + (2.533 \cdot 1 0^{- 15}) s^{2} + 1.0}

.numeric gain pz

The zero-frequency value of GAIN = 9.999 [-].

Poles of GAIN; units HZ.


Poles	Real part	Imaginary part	Magnitude	Q

$1$	$- 2.225 \times 1 0^{6}$	$- 2.248 \times 1 0^{6}$	$3.162 \times 1 0^{6}$	$0.7108$
$2$	$- 2.225 \times 1 0^{6}$	$2.248 \times 1 0^{6}$	$3.162 \times 1 0^{6}$	$0.7108$

No zeros found!

.plot gain pz .step A_DC lin 0 100k 200 .range -10M 0 -5M 5M

Figure 1:

slicap-gain-pz-_step-A_DC-lin-0-100k-200-_range–10M-0–5M-5M.png

.plot gain pz .step z_1 lin -10M -2.9M 50 .range -10M 0 -5M 5M

Figure 2:

slicap-gain-pz-_step-z_1-lin–10M–2_9M-50-_range–10M-0–5M-5M.png

.symbolic loopgain laplace

\frac{V_{l_{o u t}}}{V_{E_{f w}}} = \frac{6.283 A_{D C} K_{D C} p_{1} p_{2} (s - 6.283 z_{1})}{z_{1} (s - 6.283 p_{1}) (s - 6.283 p_{2})}

.numeric loopgain laplace

\frac{V_{l_{o u t}}}{V_{E_{f w}}} = - \frac{0.0005488 s + 10000.0}{0.0001593 s + (2.533 \cdot 1 0^{- 11}) s^{2} + 1.0}

.numeric loopgain pz

The zero-frequency value of LOOPGAIN = -1.0e4.

Poles of LOOPGAIN; units HZ.


Poles	Real part	Imaginary part	Magnitude	Q

$1$	$- 1.0 \times 1 0^{3}$	$0$	$1.0 \times 1 0^{3}$	$-$
$2$	$- 1.0 \times 1 0^{6}$	$0$	$1.0 \times 1 0^{6}$	$-$

Zeros of LOOPGAIN; units HZ.


Zeros	Real part	Imaginary part	Magnitude	Q

$1$	$- 2.9 \times 1 0^{6}$	$0$	$2.9 \times 1 0^{6}$	$-$

.plot loopgain polar .f 2M 20M .step z_1 lin -5M -2M 4

Figure 3:

slicap-loopgain-polar-_f-2M-20M-_step-z_1-lin–5M–2M-4.png

.plot loopgain db .f 10 10M .step z_1 lin -5M -2M 4

Figure 4:

slicap-loopgain-db-_f-10-10M-_step-z_1-lin–5M–2M-4.png

.plot loopgain phase .f 10 10M .step z_1 lin -5M -2M 4

Figure 5:

slicap-loopgain-phase-_f-10-10M-_step-z_1-lin–5M–2M-4.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: 13.5 seconds (limit=600 seconds).