modelVariableImpedance
Extends from Interfaces.OnePort (Two pins, current through), Modelica.Electrical.Analog.Interfaces.ConditionalHeatPort (Partial model to include a conditional HeatPort in order to describe the power loss via a thermal network).
Information
The impedance model represents a series connection of a resistor and either an inductor or capacitor.
The linear impedance connects the complex voltage v with the
complex current i by i*Z = v.
The impedance Z_ref = R_ref + j*X_ref is given as complex input signal, representing the
resistive and reactive component of the input impedance. The resistive
component is modeled temperature dependent, so the real part R_actual = real(Z) is determined from
the actual operating temperature and the reference input resistance real(Z_ref).
The reactive component X_actual = imag(Z)
is equal to imag(Z_ref) if frequencyDependent = false.
Frequency dependency is considered by frequencyDependent = true, distinguishing two cases:
- (a)
imag(Z_ref) > 0: inductive case - The actual reactance
X_actualis proportional tof/f_ref - (b)
imag(Z_ref) < 0: capacitive case - The actual reactance
X_actualis proportional tof_ref/f
Note
A zero crossing of the real or imaginary part of the impedance signal Z_ref could cause
singularities due to the actual structure of the connected network.
See also
Resistor, Conductor, Capacitor, Inductor, Impedance, Admittance, Variable resistor, Variable conductor, Variable capacitor, Variable inductor, Variable admittance
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| SI.Temperature | T_ref | 293.15 | Reference temperature |
| SI.LinearTemperatureCoefficient | alpha_ref | 0 | Temperature coefficient of resistance (R_actual = R_ref*(1 + alpha_ref*(heatPort.T - T_ref))) |
| Boolean | useHeatPort (from ConditionalHeatPort) | false | = true, if heatPort is enabled |
| SI.Temperature | T (from ConditionalHeatPort) | 293.15 | Fixed device temperature if useHeatPort = false |
| Boolean | frequencyDependent | false | Consider frequency dependency, if true |
| SI.Frequency | f_ref | 1 | Reference frequency, if frequency dependency is considered |
Connectors
| Type | Name | Default | Description |
|---|---|---|---|
| PositivePin | pin_p (from TwoPinElementary) | Positive quasi-static single-phase pin | |
| NegativePin | pin_n (from TwoPinElementary) | Negative quasi-static single-phase pin | |
| Modelica.Thermal.HeatTransfer.Interfaces.HeatPort_a | heatPort (from ConditionalHeatPort) | Conditional heat port | |
| Modelica.ComplexBlocks.Interfaces.ComplexInput | Z_ref | Variable complex impedance |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| SI.AngularVelocity | omega (from TwoPinElementary) | Angular velocity of reference frame | |
| SI.ComplexVoltage | v (from TwoPin) | Complex voltage | |
| SI.Voltage | abs_v (from TwoPin) | Modelica.ComplexMath.abs(v) | Magnitude of complex voltage |
| SI.Angle | arg_v (from TwoPin) | Modelica.ComplexMath.arg(v) | Argument of complex voltage |
| SI.ComplexCurrent | i (from TwoPin) | Complex current | |
| SI.Current | abs_i (from TwoPin) | Modelica.ComplexMath.abs(i) | Magnitude of complex current |
| SI.Angle | arg_i (from TwoPin) | Modelica.ComplexMath.arg(i) | Argument of complex current |
| SI.ActivePower | P (from TwoPin) | Modelica.ComplexMath.real(v*Modelica.ComplexMath.conj(i)) | Active power |
| SI.ReactivePower | Q (from TwoPin) | Modelica.ComplexMath.imag(v*Modelica.ComplexMath.conj(i)) | Reactive power |
| SI.ApparentPower | S (from TwoPin) | Modelica.ComplexMath.abs(v*Modelica.ComplexMath.conj(i)) | Magnitude of complex apparent power |
| Real | pf (from TwoPin) | cos(Modelica.ComplexMath.arg(Complex(P, Q))) | Power factor |
| SI.Power | LossPower (from ConditionalHeatPort) | Loss power leaving component via heatPort | |
| SI.Temperature | T_heatPort (from ConditionalHeatPort) | Temperature of heatPort | |
| SI.Resistance | R_actual | Resistance = R_ref*(1 + alpha_ref*(heatPort.T - T_ref)) | |
| SI.Reactance | X_actual | Reactance considering possible frequency dependency | |
| SI.Resistance | R_ref | real(Z_ref) | Resistive component of impedance, resistance |
| SI.Reactance | X_ref | imag(Z_ref) | Reactive component of impedance, reactance |