/// <inheritdoc/>
protected override void CreateBehaviors(IEntityCollection entities)
{
base.CreateBehaviors(entities);
_temperatureBehaviors = EntityBehaviors.GetBehaviorList <ITemperatureBehavior>();
_loadBehaviors = EntityBehaviors.GetBehaviorList <IBiasingBehavior>();
_convergenceBehaviors = EntityBehaviors.GetBehaviorList <IConvergenceBehavior>();
_updateBehaviors = EntityBehaviors.GetBehaviorList <IBiasingUpdateBehavior>();
// We're going to set up our state now that all behaviors have allocated elements in the solver
_state.Setup();
// Set up nodesets for nodes that were referenced by an entity
_nodesets.Clear();
foreach (var ns in BiasingParameters.Nodesets)
{
if (_state.TryGetValue(ns.Key, out var variable))
{
_nodesets.Add(new ConvergenceAid(variable, _state, ns.Value));
}
else
{
SpiceSharpWarning.Warning(this, Properties.Resources.Simulations_ConvergenceAidVariableNotFound.FormatString(ns.Key));
}
}
}
/// <summary>
/// Iterates to a solution slowly ramping up independent voltages and currents.
/// </summary>
/// <param name="maxIterations">The maximum number of iterations per step.</param>
/// <param name="steps">The number of steps.</param>
/// <returns>
/// <c>true</c> if source stepping succeeded; otherwise <c>false</c>.
/// </returns>
protected bool IterateSourceStepping(int maxIterations, int steps)
{
// We will slowly ramp up voltages starting at 0 to make sure it converges
SpiceSharpWarning.Warning(this, Properties.Resources.Simulations_Biasing_StartSourceStepping);
// We could've ended up with some crazy value, so let's reset it
for (var i = 0; i <= _state.Solution.Length; i++)
{
_state.Solution[i] = 0.0;
}
// Start SRC stepping
bool success = true;
Iteration.Mode = IterationModes.Junction;
for (var i = 0; i <= steps; i++)
{
Iteration.SourceFactor = i / (double)steps;
if (!Iterate(maxIterations))
{
Iteration.SourceFactor = 1.0;
SpiceSharpWarning.Warning(this, Properties.Resources.Simulations_Biasing_SourceSteppingFailed);
success = false;
break;
}
}
return(success);
}
/// <inheritdoc/>
void ITemperatureBehavior.Temperature()
{
double factor;
double resistance = Parameters.Resistance;
// Default Value Processing for Resistor Instance
if (!Parameters.Temperature.Given)
{
Parameters.Temperature = new GivenParameter <double>(_temperature.Temperature, false);
}
if (_mbp != null)
{
if (!Parameters.Resistance.Given)
{
if (!Parameters.Width.Given)
{
Parameters.Width = new GivenParameter <double>(_mbp.DefaultWidth, false);
}
if (!_mbp.SheetResistance.Equals(0.0) && Parameters.Length > 0)
{
resistance = _mbp.SheetResistance * (Parameters.Length - _mbp.Narrow) / (Parameters.Width - _mbp.Narrow);
}
else
{
SpiceSharpWarning.Warning(this, Properties.Resources.Resistors_ZeroResistance.FormatString(Name));
resistance = 1000;
}
}
var difference = Parameters.Temperature - _mbp.NominalTemperature;
if (_mbp.ExponentialCoefficient.Given)
{
factor = Math.Pow(1.01, _mbp.ExponentialCoefficient * difference);
}
else
{
factor = 1.0 + _mbp.TemperatureCoefficient1 * difference + _mbp.TemperatureCoefficient2 * difference * difference;
}
}
else
{
factor = 1.0;
}
if (resistance < Parameters.MinimumResistance)
{
SpiceSharpWarning.Warning(this, Properties.Resources.Parameters_NotGreaterOrEqual.FormatString("resistance", resistance, Parameters.MinimumResistance));
resistance = Parameters.MinimumResistance;
}
// Calculate the final conductance
Conductance = Parameters.ParallelMultiplier / Parameters.SeriesMultiplier / (resistance * factor);
}
/// <inheritdoc/>
public override int OrderAndFactor()
{
IsFactored = false;
int step = 1;
var order = Size - Degeneracy;
int max = Size - PivotSearchReduction;
if (!NeedsReordering)
{
// Matrix has been factored before, and reordering is not required
for (step = 1; step <= order; step++)
{
var pivot = Matrix.FindDiagonalElement(step);
if (Parameters.IsValidPivot(pivot, max))
{
Eliminate(pivot);
}
else
{
NeedsReordering = true;
break;
}
}
if (!NeedsReordering)
{
IsFactored = true;
return(order);
}
}
// Setup the strategy for some real kick-ass pivoting action
Parameters.Setup(Matrix, Vector, step, max);
for (; step <= order; step++)
{
var pivot = Parameters.FindPivot(Matrix, step, max);
if (pivot.Info == PivotInfo.None)
{
return(step - 1);
}
else if (pivot.Info == PivotInfo.Bad)
{
var loc = InternalToExternal(new MatrixLocation(step, step));
SpiceSharpWarning.Warning(this, Properties.Resources.Algebra_BadlyConditioned.FormatString(loc.Row, loc.Column));
}
MovePivot(pivot.Element, step);
Eliminate(pivot.Element);
}
IsFactored = true;
NeedsReordering = false;
return(order);
}
/// <summary>
/// Set up the simulation.
/// </summary>
/// <param name="entities">The entities that are included in the simulation.</param>
/// <exception cref="ArgumentNullException">Thrown if <paramref name="entities"/> is <c>null</c>.</exception>
private void Setup(IEntityCollection entities)
{
// Validate the entities
entities.ThrowIfNull(nameof(entities));
if (entities.Count == 0)
{
// No entities! Don't stop here, but at least warn the user.
SpiceSharpWarning.Warning(this, Properties.Resources.Simulations_NoEntities.FormatString(Name));
}
// Create all simulation states
CreateStates();
// Create all entity behaviors (using the created simulation states)
CreateBehaviors(entities);
}
/// <summary>
/// Iterates to a solution while adding a conductive path to ground on all nodes.
/// </summary>
/// <param name="maxIterations">The maximum number of iterations per step.</param>
/// <param name="steps">The number of steps.</param>
/// <returns>
/// <c>true</c> if the diagonal gmin stepping succeeded; otherwise <c>false</c>.
/// </returns>
protected bool IterateDiagonalGminStepping(int maxIterations, int steps)
{
// We will add a DC path to ground to all nodes to aid convergence
SpiceSharpWarning.Warning(this, Properties.Resources.Simulations_Biasing_StartDiagonalGminStepping);
// We'll hack into the loading algorithm to apply our diagonal contributions
var diagonalGmin = Math.Min(Iteration.Gmin, 1e-12);
void ApplyGminStep(object sender, LoadStateEventArgs args)
=> _state.Solver.Precondition((matrix, vector) => ModifiedNodalAnalysisHelper <double> .ApplyDiagonalGmin(matrix, diagonalGmin));
AfterLoad += ApplyGminStep;
// We could've ended up with some crazy value, so let's reset it
for (var i = 0; i <= _state.Solution.Length; i++)
{
_state.Solution[i] = 0.0;
}
// Let's make it a bit easier for our iterations to converge
for (var i = 0; i < steps; i++)
{
diagonalGmin *= 10.0;
}
// Start GMIN stepping
Iteration.Mode = IterationModes.Junction;
for (var i = 0; i <= steps; i++)
{
Iteration.IsConvergent = false;
if (!Iterate(maxIterations))
{
diagonalGmin = 0.0;
SpiceSharpWarning.Warning(this, Properties.Resources.Simulation_Biasing_GminSteppingFailed);
break;
}
diagonalGmin /= 10.0;
Iteration.Mode = IterationModes.Float;
}
// Try one more time without the gmin stepping
AfterLoad -= ApplyGminStep;
diagonalGmin = 0.0;
return(Iterate(maxIterations));
}
/// <summary>
/// Iterates to a solution while shunting PN-junctions with a conductance.
/// </summary>
/// <param name="maxIterations">The maximum number of iterations per step.</param>
/// <param name="steps">The number of steps.</param>
/// <returns>
/// <c>true</c> if the gmin stepping succeeded; otherwise <c>false</c>.
/// </returns>
protected bool IterateGminStepping(int maxIterations, int steps)
{
// We will shunt all PN-junctions with a conductance (should be implemented by the components)
SpiceSharpWarning.Warning(this, Properties.Resources.Simulations_Biasing_StartGminStepping);
// We could've ended up with some crazy value, so let's reset it
for (var i = 0; i <= _state.Solution.Length; i++)
{
_state.Solution[i] = 0.0;
}
// Let's make it a bit easier for our iterations to converge
var original = Iteration.Gmin;
if (Iteration.Gmin <= 0)
{
Iteration.Gmin = 1e-12;
}
for (var i = 0; i < steps; i++)
{
Iteration.Gmin *= 10.0;
}
// Start GMIN stepping
Iteration.Mode = IterationModes.Junction;
for (var i = 0; i <= steps; i++)
{
Iteration.IsConvergent = false;
if (!Iterate(maxIterations))
{
Iteration.Gmin = original;
SpiceSharpWarning.Warning(this, Properties.Resources.Simulation_Biasing_GminSteppingFailed);
break;
}
// Success! Let's try to get more accurate now
Iteration.Gmin /= 10.0;
Iteration.Mode = IterationModes.Float;
}
// Try one more time with the original gmin
Iteration.Gmin = original;
return(Iterate(maxIterations));
}
/// <summary>
/// Initializes a new instance of the <see cref="BiasingBehavior"/> class.
/// </summary>
/// <param name="context">The context.</param>
/// <exception cref="ArgumentNullException">Thrown if <paramref name="context"/> is <c>null</c>.</exception>
public BiasingBehavior(IComponentBindingContext context)
: base(context)
{
context.ThrowIfNull(nameof(context));
Parameters = context.GetParameterSet <IndependentSourceParameters>();
_iteration = context.GetState <IIterationSimulationState>();
context.TryGetState(out _method);
Waveform = Parameters.Waveform?.Create(_method);
if (!Parameters.DcValue.Given)
{
// No DC value: either have a transient value or none
if (Waveform != null)
{
SpiceSharpWarning.Warning(this,
Properties.Resources.IndependentSources_NoDcUseWaveform.FormatString(Name));
Parameters.DcValue = new GivenParameter <double>(Waveform.Value, false);
}
else
{
SpiceSharpWarning.Warning(this,
Properties.Resources.IndependentSources_NoDc.FormatString(Name));
}
}
// Connections
_biasing = context.GetState <IBiasingSimulationState>();
context.TryGetState(out _method);
_variables = new OnePort <double>(_biasing, context);
Branch = _biasing.CreatePrivateVariable(Name.Combine("branch"), Units.Ampere);
var pos = _biasing.Map[_variables.Positive];
var neg = _biasing.Map[_variables.Negative];
var br = _biasing.Map[Branch];
_elements = new ElementSet <double>(_biasing.Solver, new[] {
new MatrixLocation(pos, br),
new MatrixLocation(br, pos),
new MatrixLocation(neg, br),
new MatrixLocation(br, neg)
}, new[] { br });
}
/// <summary>
/// Initializes a new instance of the <see cref="BindingContext"/> class.
/// </summary>
/// <param name="component">The component creating the behavior.</param>
/// <param name="simulation">The simulation for which a behavior is created.</param>
/// <param name="behaviors">The behaviors created by the entity.</param>
/// <exception cref="ArgumentNullException">Thrown if <paramref name="component"/> or <paramref name="simulation"/> is <c>null</c>.</exception>
public ComponentBindingContext(IComponent component, ISimulation simulation, IBehaviorContainer behaviors)
: base(component, simulation, behaviors)
{
// Get the nodes of the component
var nodes = component.Nodes;
string[] myNodes;
if (nodes != null && nodes.Count > 0)
{
myNodes = new string[nodes.Count];
for (var i = 0; i < nodes.Count; i++)
{
if (nodes[i] == null)
{
myNodes[i] = Constants.Ground;
SpiceSharpWarning.Warning(this, Properties.Resources.Nodes_NullToGround.FormatString(component.Name, i));
}
else
{
myNodes[i] = nodes[i];
}
}
}
else
{
myNodes = Array <string> .Empty();
}
Nodes = myNodes;
// Get the model of the component
if (component.Model != null)
{
ModelBehaviors = simulation.EntityBehaviors[component.Model];
}
else
{
ModelBehaviors = null;
}
}
/// <summary>
/// Initializes a new instance of the <see cref="Biasing"/> class.
/// </summary>
/// <param name="context">The context.</param>
/// <exception cref="ArgumentNullException">Thrown if <paramref name="context"/> is <c>null</c>.</exception>
public Biasing(IComponentBindingContext context) : base(context)
{
context.ThrowIfNull(nameof(context));
Parameters = context.GetParameterSet <Parameters>();
_biasing = context.GetState <IBiasingSimulationState>();
_iteration = context.GetState <IIterationSimulationState>();
_variables = new OnePort <double>(_biasing, context);
context.TryGetState <IIntegrationMethod>(out _method);
Waveform = Parameters.Waveform?.Create(context);
// Give some warnings if no value is given
if (!Parameters.DcValue.Given)
{
// no DC value - either have a transient value or none
SpiceSharpWarning.Warning(this,
Waveform != null
? Properties.Resources.IndependentSources_NoDcUseWaveform.FormatString(Name)
: Properties.Resources.IndependentSources_NoDc.FormatString(Name));
}
_elements = new ElementSet <double>(_biasing.Solver, null, _variables.GetRhsIndices(_biasing.Map));
}
/// <inheritdoc/>
protected override void CreateBehaviors(IEntityCollection entities)
{
base.CreateBehaviors(entities);
_transientBehaviors = EntityBehaviors.GetBehaviorList <ITimeBehavior>();
_acceptBehaviors = EntityBehaviors.GetBehaviorList <IAcceptBehavior>();
_truncatingBehaviors = EntityBehaviors.GetBehaviorList <ITruncatingBehavior>();
_method.Initialize();
// Set up initial conditions
var state = GetState <IBiasingSimulationState>();
_initialConditions.Clear();
foreach (var ic in TimeParameters.InitialConditions)
{
if (state.ContainsKey(ic.Key))
{
_initialConditions.Add(new ConvergenceAid(state.GetSharedVariable(ic.Key), GetState <IBiasingSimulationState>(), ic.Value));
}
else
{
SpiceSharpWarning.Warning(this, Properties.Resources.Simulations_ConvergenceAidVariableNotFound.FormatString(ic.Key));
}
}
}
/// <summary>
/// Remap a variable node to an <see cref="IVariable{T}"/>.
/// </summary>
/// <typeparam name="T">the variable type.</typeparam>
/// <param name="factory">The variable factory.</param>
/// <param name="node">The node.</param>
/// <param name="ownBranch">The branch.</param>
/// <returns>The variable.</returns>
public IVariable <T> MapNode <T>(IVariableFactory <IVariable <T> > factory, VariableNode node, IVariable <T> ownBranch = null)
{
switch (node.NodeType)
{
case NodeTypes.Voltage:
return(factory.GetSharedVariable(node.Name));
case NodeTypes.Current:
IBehaviorContainer container;
IBiasingBehavior tmpb;
IFrequencyBehavior tmpf;
// Get the relevant behaviors
if (Simulation.EntityBehaviors.Comparer.Equals(node.Name, Behaviors.Name))
{
container = Behaviors;
}
else
{
container = Simulation.EntityBehaviors[node.Name];
}
if (container == Behaviors)
{
if (ownBranch == null)
{
throw new SpiceSharpException($"The behavior for {Entity.Name} does not define a branch current.");
}
return(ownBranch);
}
else if (container.TryGetValue <IBranchedBehavior <T> >(out var branched))
{
// Best-case scenario! Our behaviors define a branched behavior!
return(branched.Branch);
}
else if (typeof(T) == typeof(double) && container.TryGetValue(out tmpb) && tmpb is CurrentSources.Biasing biasing)
{
// If whatever is being is asked is the current from a current source, then we also don't have a problem
var result = new FuncVariable <double>($"I({biasing.Name})", () => biasing.Current, Units.Ampere);
return(result as IVariable <T>);
}
else if (typeof(T) == typeof(Complex) && container.TryGetValue(out tmpf) && tmpf is CurrentSources.Frequency frequency)
{
// Current source = no problem
var result = new FuncVariable <Complex>($"I({frequency.Name})", () => frequency.ComplexCurrent, Units.Ampere);
return(result as IVariable <T>);
}
else
{
var result = container.CreatePropertyGetter <T>("i");
if (result == null)
{
goto default;
}
SpiceSharpWarning.Warning(this, SpiceSharpBehavioral.Properties.Resources.LooseLinkCurrent.FormatString(container.Name));
return(new FuncVariable <T>($"@{container.Name}[i]", result, Units.Ampere));
}
default:
throw new SpiceSharpException($"Could not determine the variable {node.Name}");
}
}
/// <summary>
/// Iterates towards a solution.
/// </summary>
/// <param name="maxIterations">The maximum allowed iterations.</param>
/// <returns>
/// <c>true</c> if the iterations converged to a solution; otherwise, <c>false</c>.
/// </returns>
/// <exception cref="SpiceSharpException">Thrown if any behavior cannot load the matrix and/or right hand side vector, or if the solution
/// is not a number (NaN).</exception>
/// <exception cref="SingularException">Thrown if the equation matrix is singular.</exception>
protected virtual bool Iterate(int maxIterations)
{
var solver = _state.Solver;
var pass = false;
var iterno = 0;
try
{
while (true)
{
// Load the Y-matrix and right hand side vector
Iteration.IsConvergent = true;
Load();
iterno++;
// Preorder matrix
if (!_isPreordered)
{
solver.Precondition((matrix, vector)
=> ModifiedNodalAnalysisHelper <double> .PreorderModifiedNodalAnalysis(matrix, solver.Size - solver.Degeneracy));
_isPreordered = true;
}
if (Iteration.Mode == IterationModes.Junction)
{
_shouldReorder = true;
}
if (_shouldReorder)
{
// Reorder and factor the solver
Statistics.ReorderTime.Start();
try
{
var eliminated = solver.OrderAndFactor();
if (eliminated < solver.Size)
{
// We should avoid throwing an exception here, because this may just be a starting
// error...
SpiceSharpWarning.Warning(this, Properties.Resources.Algebra_SingularMatrixIndexed.FormatString(eliminated + 1));
return(false);
}
_shouldReorder = false;
}
finally
{
Statistics.ReorderTime.Stop();
}
}
else
{
// Just factor the solver (without losing time reordering)
Statistics.FactoringTime.Start();
try
{
if (!solver.Factor())
{
_shouldReorder = true;
continue;
}
}
finally
{
Statistics.FactoringTime.Stop();
}
}
// The current solution becomes the old solution
_state.StoreSolution();
// Solve the equation
Statistics.SolveTime.Start();
try
{
solver.Solve(_state.Solution);
}
finally
{
Statistics.SolveTime.Stop();
}
// Reset ground nodes
solver.GetElement(0).Value = 0.0;
_state.Solution[0] = 0.0;
_state.OldSolution[0] = 0.0;
// Update
foreach (var behavior in _updateBehaviors)
{
behavior.Update();
}
// Exceeded maximum number of iterations
if (iterno > maxIterations)
{
return(false);
}
if (Iteration.IsConvergent && iterno != 1)
{
Iteration.IsConvergent = IsConvergent();
}
else
{
Iteration.IsConvergent = false;
}
switch (Iteration.Mode)
{
case IterationModes.Float:
if (_nodesets.Count > 0)
{
if (pass)
{
Iteration.IsConvergent = false;
}
pass = false;
}
if (Iteration.IsConvergent)
{
return(true);
}
break;
case IterationModes.Junction:
Iteration.Mode = IterationModes.Fix;
_shouldReorder = true;
break;
case IterationModes.Fix:
if (Iteration.IsConvergent)
{
Iteration.Mode = IterationModes.Float;
}
pass = true;
break;
case IterationModes.None:
Iteration.Mode = IterationModes.Float;
break;
default:
throw new SpiceSharpException(Properties.Resources.Simulations_InvalidInitializationMode);
}
}
}
finally
{
Statistics.Iterations += iterno;
}
}
#pragma warning restore CS1591 // Missing XML comment for publicly visible type or member
/// <summary>
/// Updates the specified properties.
/// </summary>
/// <param name="name">The name.</param>
/// <param name="p">The parameters of the transistor.</param>
/// <param name="mp">The model parameters.</param>
/// <param name="mprp">The model properties.</param>
public void Update(string name, Parameters p, ModelParameters mp, ModelProperties mprp)
{
if (!mp.Transconductance.Given)
{
mp.Transconductance = new GivenParameter <double>(mp.SurfaceMobility * mprp.OxideCapFactor * 1e-4, false);
}
TempVt = p.Temperature * Constants.KOverQ;
var ratio = p.Temperature / mp.NominalTemperature;
var fact2 = p.Temperature / Constants.ReferenceTemperature;
var kt = p.Temperature * Constants.Boltzmann;
var egfet = 1.16 - (7.02e-4 * p.Temperature * p.Temperature) /
(p.Temperature + 1108);
var arg = -egfet / (kt + kt) + 1.1150877 / (Constants.Boltzmann * (Constants.ReferenceTemperature + Constants.ReferenceTemperature));
var pbfact = -2 * TempVt * (1.5 * Math.Log(fact2) + Constants.Charge * arg);
OxideCap = mprp.OxideCapFactor * EffectiveLength * p.ParallelMultiplier * p.Width;
if (p.Length - 2 * mp.LateralDiffusion <= 0)
{
SpiceSharpWarning.Warning(this, "{0}: effective channel length less than zero".FormatString(name));
}
var ratio4 = ratio * Math.Sqrt(ratio);
TempTransconductance = mp.Transconductance / ratio4;
TempSurfaceMobility = mp.SurfaceMobility / ratio4;
var phio = (mp.Phi - mprp.PbFactor1) / mprp.Factor1;
TempPhi = fact2 * phio + pbfact;
TempVbi = mp.Vt0 - mp.MosfetType * (mp.Gamma * Math.Sqrt(mp.Phi)) + .5 * (mprp.EgFet1 - egfet) + mp.MosfetType * .5 * (TempPhi - mp.Phi);
TempVt0 = TempVbi + mp.MosfetType * mp.Gamma * Math.Sqrt(TempPhi);
var TempSaturationCurrent = mp.JunctionSatCur * Math.Exp(-egfet / TempVt + mprp.EgFet1 / mprp.Vtnom);
var TempSaturationCurrentDensity = mp.JunctionSatCurDensity * Math.Exp(-egfet / TempVt + mprp.EgFet1 / mprp.Vtnom);
var pbo = (mp.BulkJunctionPotential - mprp.PbFactor1) / mprp.Factor1;
TempBulkPotential = fact2 * pbo + pbfact;
if ((TempSaturationCurrentDensity == 0) ||
(p.DrainArea == 0) ||
(p.SourceArea == 0))
{
SourceVCritical = DrainVCritical =
TempVt * Math.Log(TempVt / (Constants.Root2 * p.ParallelMultiplier * TempSaturationCurrent));
}
else
{
DrainVCritical =
TempVt * Math.Log(TempVt / (Constants.Root2 *
p.ParallelMultiplier *
TempSaturationCurrentDensity * p.DrainArea));
SourceVCritical =
TempVt * Math.Log(TempVt / (Constants.Root2 *
p.ParallelMultiplier *
TempSaturationCurrentDensity * p.SourceArea));
}
if (mp.DrainResistance.Given)
{
if (mp.DrainResistance != 0)
{
DrainConductance = p.ParallelMultiplier / mp.DrainResistance;
}
else
{
DrainConductance = 0;
}
}
else if (mp.SheetResistance.Given)
{
if (mp.SheetResistance != 0)
{
DrainConductance = p.ParallelMultiplier / (mp.SheetResistance * p.DrainSquares);
}
else
{
DrainConductance = 0;
}
}
else
{
DrainConductance = 0;
}
if (mp.SourceResistance.Given)
{
if (mp.SourceResistance != 0)
{
SourceConductance = p.ParallelMultiplier / mp.SourceResistance;
}
else
{
SourceConductance = 0;
}
}
else if (mp.SheetResistance.Given)
{
if ((mp.SheetResistance != 0) && (p.SourceSquares != 0))
{
SourceConductance = p.ParallelMultiplier / (mp.SheetResistance * p.SourceSquares);
}
else
{
SourceConductance = 0;
}
}
else
{
SourceConductance = 0;
}
EffectiveLength = p.Length - (2 * mp.LateralDiffusion);
var gmaold = (mp.BulkJunctionPotential - pbo) / pbo;
var capfact = 1 / (1 + (mp.BulkJunctionBotGradingCoefficient *
((4e-4 * (mp.NominalTemperature - Constants.ReferenceTemperature)) - gmaold)));
TempCbd = mp.CapBd * capfact;
TempCbs = mp.CapBs * capfact;
TempCj = mp.BulkCapFactor * capfact;
capfact = 1 / (1 + (mp.BulkJunctionSideGradingCoefficient *
((4e-4 * (mp.NominalTemperature - Constants.ReferenceTemperature)) - gmaold)));
TempCjsw = mp.SidewallCapFactor * capfact;
TempBulkPotential = (fact2 * pbo) + pbfact;
var gmanew = (TempBulkPotential - pbo) / pbo;
capfact = 1 + (mp.BulkJunctionBotGradingCoefficient *
((4e-4 * (p.Temperature - Constants.ReferenceTemperature)) - gmanew));
TempCbd *= capfact;
TempCbs *= capfact;
TempCj *= capfact;
capfact = 1 + (mp.BulkJunctionSideGradingCoefficient *
((4e-4 * (p.Temperature - Constants.ReferenceTemperature)) - gmanew));
TempCjsw *= capfact;
TempDepCap = mp.ForwardCapDepletionCoefficient * TempBulkPotential;
double czbd, czbdsw;
if (mp.CapBd.Given)
{
czbd = TempCbd * p.ParallelMultiplier;
}
else
{
if (mp.BulkCapFactor.Given)
{
czbd = TempCj * p.ParallelMultiplier * p.DrainArea;
}
else
{
czbd = 0;
}
}
if (mp.SidewallCapFactor.Given)
{
czbdsw = TempCjsw * p.DrainPerimeter * p.ParallelMultiplier;
}
else
{
czbdsw = 0;
}
arg = 1 - mp.ForwardCapDepletionCoefficient;
var sarg = Math.Exp((-mp.BulkJunctionBotGradingCoefficient) * Math.Log(arg));
var sargsw = Math.Exp((-mp.BulkJunctionSideGradingCoefficient) * Math.Log(arg));
Cbd = czbd;
CbdSidewall = czbdsw;
F2d = (czbd * (1 - (mp.ForwardCapDepletionCoefficient *
(1 + mp.BulkJunctionBotGradingCoefficient))) * sarg / arg)
+ (czbdsw * (1 - (mp.ForwardCapDepletionCoefficient *
(1 + mp.BulkJunctionSideGradingCoefficient))) *
sargsw / arg);
F3d = (czbd * mp.BulkJunctionBotGradingCoefficient * sarg / arg /
TempBulkPotential)
+ (czbdsw * mp.BulkJunctionSideGradingCoefficient * sargsw / arg /
TempBulkPotential);
F4d = (czbd * TempBulkPotential * (1 - (arg * sarg)) /
(1 - mp.BulkJunctionBotGradingCoefficient))
+ (czbdsw * TempBulkPotential * (1 - (arg * sargsw)) /
(1 - mp.BulkJunctionSideGradingCoefficient))
- (F3d / 2 *
(TempDepCap * TempDepCap))
- (TempDepCap * F2d);
double czbs, czbssw;
if (mp.CapBs.Given)
{
czbs = TempCbs * p.ParallelMultiplier;
}
else
{
if (mp.BulkCapFactor.Given)
{
czbs = TempCj * p.SourceArea * p.ParallelMultiplier;
}
else
{
czbs = 0;
}
}
if (mp.SidewallCapFactor.Given)
{
czbssw = TempCjsw * p.SourcePerimeter * p.ParallelMultiplier;
}
else
{
czbssw = 0;
}
arg = 1 - mp.ForwardCapDepletionCoefficient;
sarg = Math.Exp((-mp.BulkJunctionBotGradingCoefficient) * Math.Log(arg));
sargsw = Math.Exp((-mp.BulkJunctionSideGradingCoefficient) * Math.Log(arg));
Cbs = czbs;
CbsSidewall = czbssw;
F2s = (czbs * (1 - (mp.ForwardCapDepletionCoefficient *
(1 + mp.BulkJunctionBotGradingCoefficient))) * sarg / arg)
+ (czbssw * (1 - (mp.ForwardCapDepletionCoefficient *
(1 + mp.BulkJunctionSideGradingCoefficient))) *
sargsw / arg);
F3s = (czbs * mp.BulkJunctionBotGradingCoefficient * sarg / arg /
TempBulkPotential)
+ (czbssw * mp.BulkJunctionSideGradingCoefficient * sargsw / arg /
TempBulkPotential);
F4s = (czbs * TempBulkPotential * (1 - (arg * sarg)) /
(1 - mp.BulkJunctionBotGradingCoefficient))
+ (czbssw * TempBulkPotential * (1 - (arg * sargsw)) /
(1 - mp.BulkJunctionSideGradingCoefficient))
- (F3s / 2 *
(TempDepCap * TempDepCap))
- (TempDepCap * F2s);
}
/// <inheritdoc/>
void ITemperatureBehavior.Temperature()
{
var xcbv = 0.0;
// loop through all the instances
if (!Parameters.Temperature.Given)
{
Parameters.Temperature = new GivenParameter <double>(_temperature.Temperature, false);
}
Vt = Constants.KOverQ * Parameters.Temperature;
Vte = ModelParameters.EmissionCoefficient * Vt;
// this part gets really ugly - I won't even try to explain these equations
var fact2 = Parameters.Temperature / Constants.ReferenceTemperature;
var egfet = 1.16 - 7.02e-4 * Parameters.Temperature * Parameters.Temperature / (Parameters.Temperature + 1108);
var arg = -egfet / (2 * Constants.Boltzmann * Parameters.Temperature) + 1.1150877 / (Constants.Boltzmann * (Constants.ReferenceTemperature +
Constants.ReferenceTemperature));
var pbfact = -2 * Vt * (1.5 * Math.Log(fact2) + Constants.Charge * arg);
var egfet1 = 1.16 - 7.02e-4 * ModelParameters.NominalTemperature * ModelParameters.NominalTemperature / (ModelParameters.NominalTemperature + 1108);
var arg1 = -egfet1 / (Constants.Boltzmann * 2 * ModelParameters.NominalTemperature) + 1.1150877 / (2 * Constants.Boltzmann * Constants.ReferenceTemperature);
var fact1 = ModelParameters.NominalTemperature / Constants.ReferenceTemperature;
var pbfact1 = -2 * ModelTemperature.VtNominal * (1.5 * Math.Log(fact1) + Constants.Charge * arg1);
var pbo = (ModelParameters.JunctionPotential - pbfact1) / fact1;
var gmaold = (ModelParameters.JunctionPotential - pbo) / pbo;
TempJunctionCap = ModelParameters.JunctionCap / (1 + ModelParameters.GradingCoefficient * (400e-6 * (ModelParameters.NominalTemperature - Constants.ReferenceTemperature) - gmaold));
TempJunctionPot = pbfact + fact2 * pbo;
var gmanew = (TempJunctionPot - pbo) / pbo;
TempJunctionCap *= 1 + ModelParameters.GradingCoefficient * (400e-6 * (Parameters.Temperature - Constants.ReferenceTemperature) - gmanew);
TempSaturationCurrent = ModelParameters.SaturationCurrent * Math.Exp((Parameters.Temperature / ModelParameters.NominalTemperature - 1) * ModelParameters.ActivationEnergy /
(ModelParameters.EmissionCoefficient * Vt) + ModelParameters.SaturationCurrentExp / ModelParameters.EmissionCoefficient * Math.Log(Parameters.Temperature / ModelParameters.NominalTemperature));
// the defintion of f1, just recompute after temperature adjusting all the variables used in it
TempFactor1 = TempJunctionPot * (1 - Math.Exp((1 - ModelParameters.GradingCoefficient) * ModelTemperature.Xfc)) / (1 - ModelParameters.GradingCoefficient);
// same for Depletion Capacitance
TempDepletionCap = ModelParameters.DepletionCapCoefficient * TempJunctionPot;
// and Vcrit
var vte = ModelParameters.EmissionCoefficient * Vt;
TempVCritical = vte * Math.Log(vte / (Constants.Root2 * TempSaturationCurrent));
// and now to copute the breakdown voltage, again, using temperature adjusted basic parameters
if (ModelParameters.BreakdownVoltage.Given)
{
double cbv = ModelParameters.BreakdownCurrent;
double xbv;
if (cbv < TempSaturationCurrent * ModelParameters.BreakdownVoltage / Vt)
{
cbv = TempSaturationCurrent * ModelParameters.BreakdownVoltage / Vt;
SpiceSharpWarning.Warning(this,
Properties.Resources.Diodes_BreakdownCurrentIncreased.FormatString(Name, cbv));
xbv = ModelParameters.BreakdownVoltage;
}
else
{
var tol = BiasingParameters.RelativeTolerance * cbv;
xbv = ModelParameters.BreakdownVoltage - Vt * Math.Log(1 + cbv / TempSaturationCurrent);
int iter;
for (iter = 0; iter < 25; iter++)
{
xbv = ModelParameters.BreakdownVoltage - Vt * Math.Log(cbv / TempSaturationCurrent + 1 - xbv / Vt);
xcbv = TempSaturationCurrent * (Math.Exp((ModelParameters.BreakdownVoltage - xbv) / Vt) - 1 + xbv / Vt);
if (Math.Abs(xcbv - cbv) <= tol)
{
break;
}
}
if (iter >= 25)
{
SpiceSharpWarning.Warning(this,
Properties.Resources.Diodes_ImpossibleFwdRevMatch.FormatString(Name, xbv, xcbv));
}
}
TempBreakdownVoltage = xbv;
}
}