WOLFRAM SYSTEMMODELER

VariableImpedance

Multiphase variable impedance

Diagram

Wolfram Language

In[1]:=
SystemModel["Modelica.Electrical.QuasiStationary.MultiPhase.Basic.VariableImpedance"]
Out[1]:=

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

The impedance model represents a series connection of a resistor and either an inductor or capacitor in each phase.

The linear impedance connects the complex voltage v with the complex current i by i*Z = v in each phase, using m variable singlephase impedances. The impedances Z_ref = R_ref + j*X_ref are given as complex input signals, representing the resistive and reactive components of the input impedances. The resistive components are modeled temperature dependent, so the real part 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_actual are proportional to f/f_ref
(b) imag(Z_ref) < 0: capacitive case
The actual reactances X_actual are proportional to f_ref/f

Note

Zero crossings of the real or imaginary parts of the impedance signals Z_ref could cause singularities due to the actual structure of the connected network.

See also

VariableResistor, Resistor, Conductor, Capacitor, Inductor, Impedance, Admittance, Variable conductor, Variable capacitor, Variable inductor Variable admittance

Parameters (7)

mh

Value: m

Type: Integer

Description: Number of heatPorts=number of phases

useHeatPort

Value: false

Type: Boolean

Description: =true, if all heat ports are enabled

T

Value: T_ref

Type: Temperature[mh] (K)

Description: Fixed device temperatures if useHeatPort = false

T_ref

Value: fill(293.15, m)

Type: Temperature[m] (K)

Description: Reference temperatures

alpha_ref

Value: zeros(m)

Type: LinearTemperatureCoefficient[m] (ยน/K)

Description: Temperature coefficient of resistance (R_actual = R_ref*(1 + alpha_ref*(heatPort.T - T_ref))

frequencyDependent

Value: false

Type: Boolean

Description: Consider frequency dependency, if true

f_ref

Value: 1

Type: Frequency (Hz)

Description: Reference frequency, if frequency dependency is considered

Connectors (4)

plug_p

Type: PositivePlug

Description: Positive quasi-static polyphase plug

plug_n

Type: NegativePlug

Description: Negative quasi-static polyphase plug

heatPort

Type: HeatPort_a[mh]

Description: Conditional heat ports

Z_ref

Type: ComplexInput[m]

Description: Variable complex impedances

Components (5)

v

Type: ComplexVoltage[m]

Description: Complex voltage

i

Type: ComplexCurrent[m]

Description: Complex current

plugToPins_p

Type: PlugToPins_p

plugToPins_n

Type: PlugToPins_n

variableImpedance

Type: VariableImpedance[m]