Download - Wolfram Research

304 3. Reference Manual
Vic
1 2
L1
C1
R1
Iout
Define netlist description
of a simple oscillator
circuit.
Set up system of symbolic
time-domain equations
with initial conditions
where given in the netlist.
Set up system of symbolic
time-domain equations
with initial conditions for
all dynamic netlist
elements.
In[12]:= oscillator =
Netlist[
{L1, {0, 1}, Symbolic −> L1, Value −> 1.*^−5},
{C1, {1, 2}, Symbolic −> C1, Value −> 3.*^−7,
InitialCondition −> 2.*^−3},
{R1, {2, 0}, Symbolic −> R1, Value −> 1.}
]
Out[12]= NetlistRaw, 3
In[13]:= oscillatoreqs1 = CircuitEquations[oscillator,
AnalysisMode −> Transient, ElementValues −> Symbolic,
InitialConditions −> Automatic];
DisplayForm[oscillatoreqs1]
Out[14]//DisplayForm=
I$L1t C1 V$1 ′ t V$2 ′ t ⩵⩵ 0,
V$2t
C1 V$1 ′ t V$2 ′ t ⩵⩵ 0, V$1t L1 I$L1 ′ t ⩵⩵ 0,
R1
V$10 V$20 ⩵⩵ 0.002, V$1t, V$2t, I$L1t,
DesignPoint L1 0.00001, C1 3. 10 7 , R1 1.
In[15]:= oscillatoreqs2 = CircuitEquations[oscillator,
AnalysisMode −> Transient, ElementValues −> Symbolic,
InitialConditions −> All];
DisplayForm[oscillatoreqs2]
Out[16]//DisplayForm=
I$L1t C1 V$1 ′ t V$2 ′ t ⩵⩵ 0,
V$2t
C1 V$1 ′ t V$2 ′ t ⩵⩵ 0, V$1t L1 I$L1 ′ t ⩵⩵ 0,
R1
I$L10 ⩵⩵ 0, V$10 V$20 ⩵⩵ 0.002, V$1t, V$2t,
I$L1t, DesignPoint L1 0.00001, C1 3. 10 7 , R1 1.
Perform numerical
transient analysis for both
equation systems.
In[17]:= tran1 = NDAESolve[oscillatoreqs1, {t, 0., 1.*^−4}];
tran2 = NDAESolve[oscillatoreqs2, {t, 0., 1.*^−4}];
With InitialConditions −> Automatic, initial conditions are applied only where specified in the
netlist, all others are computed consistently. With InitialConditions −> All, initial conditions are