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3.7 Numerical Analyses 301<br />

D1<br />

1 2<br />

V0 C1 R1 Vout<br />

Load Analog Insydes.<br />

Define netlist description<br />

of a simple diode rectifier<br />

circuit.<br />

Set up system of symbolic<br />

time-domain equations.<br />

Display equations.<br />

Perform numerical DC<br />

analysis with NDAESolve.<br />

In[1]:= 2. Sin[10^6 Time]},<br />

{R1, {2, 0}, Symbolic −> R1, Value −> 100.},<br />

{C1, {2, 0}, Symbolic −> C1, Value −> 1.*^−7},<br />

{D1, {1 −> A, 2 −> C},<br />

Model −> "Diode", Selector −> "Spice"}<br />

]<br />

]<br />

Out[2]= Circuit <br />

In[3]:= rectifiereqs = CircuitEquations[rectifier,<br />

AnalysisMode −> Transient, ElementValues −> Symbolic]<br />

Out[3]= DAETransient, 4 4 <br />

In[4]:= DisplayForm[rectifiereqs]<br />

Out[4]//DisplayForm=<br />

I$AC$D1t I$V0t ⩵⩵ 0, I$AC$D1t <br />

V$2t C1 V$2 ′ t ⩵⩵ 0,<br />

R1<br />

V$1t ⩵⩵ V0, I$AC$D1t ⩵⩵ AREA$D1 <br />

1 <br />

1. $q V$1tV$2t<br />

TEMP<br />

<br />

$k<br />

<br />

<br />

IS$D1 <br />

TEMP 3.<br />

TNOM <br />

TEMP<br />

1.11 1. <br />

TNOM<br />

$q<br />

TEMP $k<br />

<br />

GMIN V$1t V$2t,<br />

V$1t, V$2t, I$V0t, I$AC$D1t, DesignPoint <br />

V0 2. Sin1000000 t, R1 100., C1 1. 10 7 , AREA$D1 1.,<br />

BV$D1 ∞, GLEAK$D1 0, GLEAKSW$D1 0, GMIN 1. 10 12 ,<br />

IBV$D1 0.001, IS$D1 1. 10 14 , ISW$D1 0, PERIM$D1 0,<br />

RS$D1 0, TEMP 300.15, TNOM 300.15, $k 1.38062 10 23 ,<br />

$q 1.60219 10 19 , CD$D1 0, CJO$D1 0, CJSW$D1 0<br />

In[5]:= NDAESolve[rectifiereqs, {t, 0.}]<br />

Out[5]=<br />

V$2 0., V$1 0., I$V0 0., I$AC$D1 0.

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