modelImpedance
Extends from Interfaces.TwoPlug (Two plugs with pin-adapter, reference connection and declaration of voltage and current), Modelica.Electrical.Polyphase.Interfaces.ConditionalHeatPort (Partial model to include conditional HeatPorts 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
in each phase.
The linear impedance connects the voltage v with the
current i by v = Z*i in each phase, using m
single-phase impedances.
The resistive
components are modeled temperature dependent, so the real parts R_actual = real(Z) are determined from
the actual operating temperatures and the reference input resistances real(Z_ref).
Conditional heat ports are considered.
The reactive components X_actual = imag(Z)
are 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 reactances
X_actualare proportional tof/f_ref - (b)
imag(Z_ref) < 0: capacitive case - The actual reactances
X_actualare proportional tof_ref/f
See also
Impedance, Resistor, Conductor, Capacitor, Inductor, Admittance, Variable resistor, Variable conductor, Variable capacitor, Variable inductor, Variable impedance, Variable admittance
Parameters
| Type | Name | Default | Description |
|---|---|---|---|
| Integer | m (from TwoPlugElementary) | 3 | Number of phases |
| SI.ComplexImpedance[m] | Z_ref | Complex impedances R_ref + j*X_ref | |
| SI.Temperature[m] | T_ref | fill(293.15, m) | Reference temperatures |
| SI.LinearTemperatureCoefficient[m] | alpha_ref | zeros(m) | Temperature coefficient of resistance (R_actual = R_ref*(1 + alpha_ref*(heatPort.T - T_ref))) |
| Integer | mh (from ConditionalHeatPort) | 3 | Number of heatPorts=number of phases |
| Boolean | useHeatPort (from ConditionalHeatPort) | false | = true, if all heat ports are enabled |
| SI.Temperature[mh] | T (from ConditionalHeatPort) | fill(293.15, mh) | Fixed device temperatures 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 |
|---|---|---|---|
| PositivePlug | plug_p (from TwoPlugElementary) | Positive quasi-static polyphase plug | |
| NegativePlug | plug_n (from TwoPlugElementary) | Negative quasi-static polyphase plug | |
| Modelica.Thermal.HeatTransfer.Interfaces.HeatPort_a[mh] | heatPort (from ConditionalHeatPort) | Conditional heat ports |
Components
| Type | Name | Default | Description |
|---|---|---|---|
| SI.AngularVelocity | omega (from TwoPlugElementary) | Angular velocity of reference frame | |
| Basic.PlugToPins_p | plugToPins_p (from TwoPlugElementary) | ||
| Basic.PlugToPins_n | plugToPins_n (from TwoPlugElementary) | ||
| SI.ComplexVoltage[m] | v (from TwoPlug) | Complex voltage | |
| SI.Voltage[m] | abs_v (from TwoPlug) | Modelica.ComplexMath.abs(v) | Magnitude of complex voltage |
| SI.Angle[m] | arg_v (from TwoPlug) | Modelica.ComplexMath.arg(v) | Argument of complex voltage |
| SI.ComplexCurrent[m] | i (from TwoPlug) | Complex current | |
| SI.Current[m] | abs_i (from TwoPlug) | Modelica.ComplexMath.abs(i) | Magnitude of complex current |
| SI.Angle[m] | arg_i (from TwoPlug) | Modelica.ComplexMath.arg(i) | Argument of complex current |
| SI.ActivePower[m] | P (from TwoPlug) | {Modelica.ComplexMath.real(v[k]*Modelica.ComplexMath.conj(i[k])) for k in 1:m} | Active power |
| SI.ActivePower | P_total (from TwoPlug) | sum(P) | Total active power |
| SI.ReactivePower[m] | Q (from TwoPlug) | {Modelica.ComplexMath.imag(v[k]*Modelica.ComplexMath.conj(i[k])) for k in 1:m} | Reactive power |
| SI.ReactivePower | Q_total (from TwoPlug) | sum(Q) | Total reactive power |
| SI.ApparentPower[m] | S (from TwoPlug) | {Modelica.ComplexMath.abs(v[k]*Modelica.ComplexMath.conj(i[k])) for k in 1:m} | Magnitude of complex apparent power |
| SI.ApparentPower | S_total (from TwoPlug) | sqrt(P_total^2 + Q_total^2) | Magnitude of total complex apparent power |
| Real[m] | pf (from TwoPlug) | {cos(Modelica.ComplexMath.arg(Complex(P[k], Q[k]))) for k in 1:m} | Power factor |
| QuasiStatic.SinglePhase.Basic.Impedance[m] | impedance |