WOLFRAM SYSTEMMODELER

Impedance

Single phase linear impedance

Wolfram Language

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SystemModel["Modelica.Electrical.QuasiStationary.SinglePhase.Basic.Impedance"]
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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 voltage v with the current i by v = Z*i. 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). A conditional heat port is considered. 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

See also

Resistor, Conductor, Capacitor, Admittance, Variable resistor, Variable conductor, Variable capacitor, Variable inductor, Variable impedance, Variable admittance

Parameters (9)

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

Z_ref

Value:

Type: ComplexImpedance

Description: Complex impedance R_ref + j*X_ref

T_ref

Value: 293.15

Type: Temperature (K)

Description: Reference temperature

alpha_ref

Value: 0

Type: LinearTemperatureCoefficient (¹/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

R_ref

Value: real(Z_ref)

Type: Resistance (Ω)

Description: Resistive component of impedance, resistance

X_ref

Value: imag(Z_ref)

Type: Reactance (Ω)

Description: Reactive component of impedance, reactance

Connectors (3)

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

Components (3)

v

Type: ComplexVoltage

Description: Complex voltage

i

Type: ComplexCurrent

Description: Complex current

Z_ref

Type: ComplexImpedance

Description: Complex impedance R_ref + j*X_ref

Used in Examples (1)

Transformer

Modelica.Electrical.QuasiStationary.SinglePhase.Examples

Example of transformer with short circuit impedance, transmission resistances and load

Used in Components (1)

Impedance

Modelica.Electrical.QuasiStationary.MultiPhase.Basic

Multiphase linear impedance