public static void Analyze(Analysis Mna, string Name, Node Anode, Node Cathode, Expression V)
{
// Unknown current.
Mna.AddPassiveComponent(Anode, Cathode, Mna.AddUnknown("i" + Name));
// Set the voltage.
Mna.AddEquation(Anode.V - Cathode.V, V);
}
public static Expression Analyze(Analysis Mna, string Name, Node Anode, Node Cathode)
{
Expression i = Mna.AddUnknown("i" + Name);
Mna.AddPassiveComponent(Anode, Cathode, i);
Mna.AddEquation(Anode.V, Cathode.V);
return i;
}
public override void Analyze(Analysis Mna)
{
Mna.PushContext(Name, Nodes);
foreach (Component c in Components)
c.Analyze(Mna);
Mna.PopContext();
}
public static void Analyze(Analysis Mna, string Name, Node Input, Node Output)
{
// Unknown output current.
Mna.AddTerminal(Output, Mna.AddUnknown("i" + Name));
// Follow voltage.
Mna.AddEquation(Input.V, Output.V);
}
public static void Analyze(Analysis Mna, Node G)
{
// Nodes connected to ground have V = 0.
Mna.AddEquation(G.V, 0);
// Ground doesn't care about current.
Mna.AddTerminal(G, null);
}
public override void Analyze(Analysis Mna)
{
// Unknown output current.
Mna.AddTerminal(Cathode, Mna.AddUnknown("i" + Name));
// V-[t] = V+[t - T], i.e. the voltage at the previous timestep.
Mna.AddEquation(Anode.V.Evaluate(t, t - T), Cathode.V);
}
public Analysis Analyze()
{
Analysis mna = new Analysis();
mna.PushContext(null, Nodes);
foreach (Component c in Components)
c.Analyze(mna);
mna.PopContext();
return mna;
}
public static Expression Analyze(Analysis Mna, string Name, Node Anode, Node Cathode, Expression L)
{
// Define a new unknown for the current through the inductor.
Expression i = Mna.AddUnknown("i" + Name);
Mna.AddPassiveComponent(Anode, Cathode, i);
// V = L*di/dt
Mna.AddEquation(Anode.V - Cathode.V, L * D(i, t));
return i;
}
protected override void Analyze(Analysis Mna, Expression Vpk, Expression Vgk, out Expression Ip, out Expression Ig)
{
Expression ex = Kp * (1.0 / Mu + Vgk * (Kvb + Vpk * Vpk) ^ (-0.5));
// ln(1+e^x) = x for large x, and large x causes numerical issues.
Expression E1 = Call.If(ex > 5, ex, Call.Ln(1 + LinExp(ex))) * Vpk / Kp;
Ip = Call.If(E1 > 0, (E1 ^ Ex) / Kg, 0);
Ig = Call.If(Vgk > Vg, (Vgk - Vg) / Rgk, 0);
}
public override void Analyze(Analysis Mna)
{
// Unknown current.
Mna.AddTerminal(Terminal, Mna.AddUnknown("i" + Name));
// Set voltage equal to the rail.
Mna.AddEquation(V, Voltage);
// Add initial conditions, if necessary.
Expression V0 = ((Expression)Voltage).Evaluate(t, 0);
if (!(V0 is Constant))
Mna.AddInitialConditions(Arrow.New(V0, 0));
}
public override void Analyze(Analysis Mna)
{
Expression Ip = Mna.AddUnknown("i" + Name + "p");
Mna.AddPassiveComponent(pa, pc, Ip);
Expression Is = Mna.AddUnknown("i" + Name + "s");
Mna.AddPassiveComponent(sc, sa, Is);
Mna.AddEquation(Ip * turns, Is);
Expression Vp = pa.V - pc.V;
Expression Vs = sa.V - sc.V;
Mna.AddEquation(Vp, turns * Vs);
}
public override void Analyze(Analysis Mna)
{
Expression Vpk = Mna.AddUnknownEqualTo(Name + "pk", p.V - k.V);
Expression Vgk = Mna.AddUnknownEqualTo(Name + "gk", g.V - k.V);
Expression ip, ig;
Analyze(Mna, Vgk, Vpk, out ip, out ig);
ip = Mna.AddUnknownEqualTo("i" + Name + "p", ip);
ig = Mna.AddUnknownEqualTo("i" + Name + "g", ig);
Mna.AddTerminal(p, ip);
Mna.AddTerminal(g, ig);
Mna.AddTerminal(k, -(ip + ig));
}
public static Expression Analyze(Analysis Mna, string Name, Node Anode, Node Cathode, Expression IS, Expression n, Expression VT)
{
// V = Va - Vc
Expression Vac = Mna.AddUnknownEqualTo("V" + Name, Anode.V - Cathode.V);
// Evaluate the model.
Expression i = IS * (LinExp(Vac / (n * VT)) - 1);
i = Mna.AddUnknownEqualTo("i" + Name, i);
Mna.AddPassiveComponent(Anode, Cathode, i);
return i;
}
public static Expression Analyze(Analysis Mna, string Name, Node Anode, Node Cathode, Expression R)
{
// i = V/R
if (R.EqualsZero())
{
return Conductor.Analyze(Mna, Name, Anode, Cathode);
}
else
{
Expression i = (Anode.V - Cathode.V) / R;
Mna.AddPassiveComponent(Anode, Cathode, i);
return i;
}
}
public override void Analyze(Analysis Mna)
{
Expression Ip = Mna.AddUnknown("i" + Name + "p");
Mna.AddPassiveComponent(pa, pc, Ip);
Expression Isa = Mna.AddUnknown("i" + Name + "sa");
Expression Isc = Mna.AddUnknown("i" + Name + "sc");
Mna.AddTerminal(sa, -Isa);
Mna.AddTerminal(sc, Isc);
Mna.AddTerminal(st, Isa - Isc);
Mna.AddEquation(Ip * turns, Isa + Isc);
Expression Vp = pa.V - pc.V;
Expression Vs1 = sa.V - st.V;
Expression Vs2 = st.V - sc.V;
Mna.AddEquation(Vp, Vs1 * turns * 2);
Mna.AddEquation(Vp, Vs2 * turns * 2);
}
public override void Analyze(Analysis Mna)
{
Resistor.Analyze(Mna, Name, Anode, Cathode, Impedance);
}
public static void Analyze(Analysis Mna, Node Anode, Node Cathode, Expression V)
{
Analyze(Mna, Mna.AnonymousName(), Anode, Cathode, V);
}
public static void Analyze(Analysis Mna, string Name, Node Anode, Node Cathode, Expression V, Arrow InitialConditions)
{
Analyze(Mna, Name, Anode, Cathode, V);
Mna.AddInitialConditions(InitialConditions);
}
public static Expression Analyze(Analysis Mna, Node Anode, Node Cathode)
{
return(Analyze(Mna, Mna.AnonymousName(), Anode, Cathode));
}
public override void Analyze(Analysis Mna)
{
Analyze(Mna, Name, Anode, Cathode);
}
public static Expression Analyze(Analysis Mna, Node Anode, Node Cathode, Expression IS, Expression n, Expression VT)
{
return Analyze(Mna, Mna.AnonymousName(), Anode, Cathode, IS, n, VT);
}
public override void Analyze(Analysis Mna)
{
Expression P = AdjustWipe(wipe, sweep);
Resistor.Analyze(Mna, Name, Anode, Cathode, (Expression)Resistance * P);
}
public override void Analyze(Analysis Mna)
{
Expression P = AdjustWipe(wipe, sweep);
Resistor.Analyze(Mna, Name, Anode, Cathode, (Expression)Resistance * P);
}
public override void Analyze(Analysis Mna)
{
}
public override void Analyze(Analysis Mna)
{
Expression Vin = DependentVariable(Name, t);
VoltageSource.Analyze(Mna, Anode, Cathode, Vin, Arrow.New(Vin.Evaluate(t, 0), 0));
}
public override void Analyze(Analysis Mna)
{
if (0 <= position && position < Throws.Length)
Conductor.Analyze(Mna, Name, Common, Throws[Position]);
}
public override void Analyze(Analysis Mna)
{
}
/// <summary>
/// Add any extra MNA equations required by this component.
/// </summary>
/// <param name="Mna"></param>
/// <param name="Unknowns"></param>
public virtual void Analyze(Analysis Mna)
{
}
public static void Analyze(Analysis Mna, Node Anode, Node Cathode, Expression V, Arrow InitialConditions)
{
Analyze(Mna, Mna.AnonymousName(), Anode, Cathode, V, InitialConditions);
}
public override void Analyze(Analysis Mna)
{
Expression P = VariableResistor.AdjustWipe(wipe, sweep);
Expression R1 = Resistance * P;
Expression R2 = Resistance * (1 - P);
Resistor.Analyze(Mna, Cathode, Wiper, R1);
Resistor.Analyze(Mna, Anode, Wiper, R2);
}
public static void Analyze(Analysis Mna, Node Input, Node Output)
{
Analyze(Mna, Mna.AnonymousName(), Input, Output);
}
public override void Analyze(Analysis Mna)
{
AssertImpl(); impl.Analyze(Mna);
}
public override void Analyze(Analysis Mna)
{
Analyze(Mna, Name, Anode, Cathode);
}
public override void Analyze(Analysis Mna)
{
if (closed)
Conductor.Analyze(Mna, Name, Anode, Cathode);
}
public static Expression Analyze(Analysis Mna, Node Anode, Node Cathode, Expression R)
{
return Analyze(Mna, "", Anode, Cathode, R);
}
protected abstract void Analyze(Analysis Mna, Expression Vgk, Expression Vpk, out Expression ip, out Expression ig);
public override sealed void Analyze(Analysis Mna)
{
}
public override void Analyze(Analysis Mna)
{
Diode.Analyze(Mna, Gate, Source, IS, 1, VT);
Diode.Analyze(Mna, Gate, Drain, IS, 1, VT);
// The drain and source terminals are reversible in the JFET model, this
// formulation is simpler than explicitly identifying normal/inverted mode.
Expression Vgs = Gate.V - Call.Min(Source.V, Drain.V);
Expression Vds = Call.Abs(Drain.V - Source.V);
//Vgs = Mna.AddNewUnknownEqualTo(Name + "gs", Vgs);
Expression Vgst0 = Vgs - Vt0;
Expression id = (Vgs >= Vt0) * Beta * (1 + Lambda * Vds) *
Call.If(Vds < Vgst0,
// Linear region.
Vds * (2 * Vgst0 - 1),
// Saturation region.
Vgst0 ^ 2);
id = Mna.AddUnknownEqualTo("i" + Name + "d", id);
CurrentSource.Analyze(Mna, Drain, Source, id);
}
public override sealed void Analyze(Analysis Mna)
{
}