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3.5 Setting Up and Solving Circuit Equations 249
Set up a system of
symbolic circuit equations
for transient analysis.
In[40]:= CircuitEquations[rectifier, AnalysisMode −> Transient,
ElementValues −> Symbolic] // DisplayForm
Out[40]//DisplayForm=
I$AC$D1t I$V1t ⩵⩵ 0, I$AC$D1t
V$2t CL V$2 ′ t ⩵⩵ 0,
RL
TEMP
1.11 1.
TNOM
$q
V$1t ⩵⩵ Vin, I$AC$D1t ⩵⩵ AREA$D1 TEMP $k
1. $q V$1tV$2t
1 TEMP $k IS$D1
TEMP 3.
TNOM GMIN V$1t V$2t,
V$1t, V$2t, I$V1t, I$AC$D1t, DesignPoint
Vin 5 Sin100 Π t, RL 1000., CL 0.000022, AREA$D1 1.,
BV$D1 ∞, GLEAK$D1 0, GLEAKSW$D1 0, GMIN 1. 10 12 ,
IBV$D1 0.001, IS$D1 1. 10 14 , ISW$D1 0, PERIM$D1 0,
RS$D1 0, TEMP 300.15, TNOM 300.15, $k 1.38062 10 23 ,
$q 1.60219 10 19 , CD$D1 0, CJO$D1 0, CJSW$D1 0
You can also tell CircuitEquations to treat all device parameters as numeric quantities.
Replace all parameters in
device model equations by
numerical values.
In[41]:= CircuitEquations[rectifier, AnalysisMode −> Transient,
ElementValues −> Symbolic, Value −> All] // DisplayForm
Out[41]//DisplayForm=
I$AC$D1t I$V1t ⩵⩵ 0, I$AC$D1t
V$2t CL V$2 ′ t ⩵⩵ 0,
RL
V$1t ⩵⩵ Vin, I$AC$D1t ⩵⩵
1. 10 14 1 38.6635 V$1tV$2t 1. 10 12 V$1t V$2t,
V$1t, V$2t, I$V1t, I$AC$D1t, DesignPoint
Vin 5 Sin100 Π t, RL 1000., CL 0.000022
Finally, the Value option allows you to specify for each device or group of devices the parameters
which CircuitEquations should treat as numeric quantities.
Replace the parameters
TEMP, TNOM, $k, and $q of
the model instance D1 by
their numerical values.
In[42]:= CircuitEquations[rectifier,
AnalysisMode −> Transient, ElementValues −> Symbolic,
Value −> {"D1" −> {TEMP, TNOM, $k, $q}}] // DisplayForm
Out[42]//DisplayForm=
I$AC$D1t I$V1t ⩵⩵ 0,
I$AC$D1t
V$2t CL V$2 ′ t ⩵⩵ 0, V$1t ⩵⩵ Vin,
RL
I$AC$D1t ⩵⩵ 1. AREA$D1 1 38.6635 V$1tV$2t IS$D1 GMIN
V$1t V$2t, V$1t, V$2t, I$V1t, I$AC$D1t,
DesignPoint Vin 5 Sin100 Π t, RL 1000., CL 0.000022,
AREA$D1 1., BV$D1 ∞, GLEAK$D1 0, GLEAKSW$D1 0,
GMIN 1. 10 12 , IBV$D1 0.001, IS$D1 1. 10 14 , ISW$D1 0,
PERIM$D1 0, RS$D1 0, CD$D1 0, CJO$D1 0, CJSW$D1 0