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

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] (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