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