WOLFRAM SYSTEMMODELER

VariableImpedance

Single phase variable impedance

Wolfram Language

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SystemModel["Modelica.Electrical.QuasiStationary.SinglePhase.Basic.VariableImpedance"]
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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.

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_actual is proportional to f/f_ref
(b) imag(Z_ref) < 0: capacitive case
The actual reactance X_actual is proportional to f_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 (6)

useHeatPort

Value: false

Type: Boolean

Description: =true, if heatPort is enabled

T

Value: T_ref

Type: Temperature (K)

Description: Fixed device temperature if useHeatPort = false

T_ref

Value: 293.15

Type: Temperature (K)

Description: Reference temperature

alpha_ref

Value: 0

Type: LinearTemperatureCoefficient (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)

pin_p

Type: PositivePin

Description: Positive quasi-static single-phase pin

pin_n

Type: NegativePin

Description: Negative quasi-static single-phase pin

heatPort

Type: HeatPort_a

Description: Conditional heat port

Z_ref

Type: ComplexInput

Description: Variable complex impedance

Components (2)

v

Type: ComplexVoltage

Description: Complex voltage

i

Type: ComplexCurrent

Description: Complex current

Used in Components (1)

VariableImpedance

Modelica.Electrical.QuasiStationary.MultiPhase.Basic

Multiphase variable impedance