VariableImpedance
Multiphase variable impedance
Library
Modelica/Electrical/QuasiStationary/MultiPhase/Basic
Description
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 tof/f_ref
- (b)
imag(Z_ref) < 0
: capacitive case - The actual reactances
X_actual
are proportional tof_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
Name | Label | Description | Data Type | Valid Values |
---|---|---|---|---|
mo_m | m | Number of phases | Scalar | |
mo_T_ref | T_ref | Reference temperatures | Vector | |
mo_alpha_ref | alpha_ref | Temperature coefficient of resistance (R_actual = R_ref*(1 + alpha_ref*(heatPort.T - T_ref)) | Vector | |
mo_mh | mh | Number of heatPorts=number of phases | Scalar | |
mo_useHeatPort | useHeatPort | =true, if all heat ports are enabled | Number | 0 |
mo_T | T | Fixed device temperatures if useHeatPort = false | Vector | |
mo_frequencyDependent | frequencyDependent | Consider frequency dependency, if true | Scalar | true |
mo_f_ref | f_ref | Reference frequency, if frequency dependency is considered | Scalar |
Name | Label | Description | Data Type | Valid Values |
---|---|---|---|---|
mo_abs_v | abs_v | abs_v | Structure | |
mo_abs_v/fixed | fixed | Cell of vectors | true | |
mo_abs_v/start | start | Cell of vectors | ||
mo_arg_v | arg_v | arg_v | Structure | |
mo_arg_v/fixed | fixed | Cell of vectors | true | |
mo_arg_v/start | start | Cell of vectors | ||
mo_abs_i | abs_i | abs_i | Structure | |
mo_abs_i/fixed | fixed | Cell of vectors | true | |
mo_abs_i/start | start | Cell of vectors | ||
mo_arg_i | arg_i | arg_i | Structure | |
mo_arg_i/fixed | fixed | Cell of vectors | true | |
mo_arg_i/start | start | Cell of vectors | ||
mo_P | P | P | Structure | |
mo_P/fixed | fixed | Cell of vectors | true | |
mo_P/start | start | Cell of vectors | ||
mo_P_total | P_total | P_total | Structure | |
mo_P_total/fixed | fixed | Cell of scalars | true | |
mo_P_total/start | start | Cell of scalars | ||
mo_Q | Q | Q | Structure | |
mo_Q/fixed | fixed | Cell of vectors | true | |
mo_Q/start | start | Cell of vectors | ||
mo_Q_total | Q_total | Q_total | Structure | |
mo_Q_total/fixed | fixed | Cell of scalars | true | |
mo_Q_total/start | start | Cell of scalars | ||
mo_S | S | S | Structure | |
mo_S/fixed | fixed | Cell of vectors | true | |
mo_S/start | start | Cell of vectors | ||
mo_S_total | S_total | S_total | Structure | |
mo_S_total/fixed | fixed | Cell of scalars | true | |
mo_S_total/start | start | Cell of scalars | ||
mo_pf | pf | pf | Structure | |
mo_pf/fixed | fixed | Cell of vectors | true | |
mo_pf/start | start | Cell of vectors | ||
mo_omega | omega | omega | Structure | |
mo_omega/fixed | fixed | Cell of scalars | true | |
mo_omega/start | start | Cell of scalars |
Ports
Name | Type | Description | IO Type | Number |
---|---|---|---|---|
plug_p | implicit | Positive quasi-static polyphase plug | input | 1 |
plug_n | implicit | Negative quasi-static polyphase plug | output | 1 |
Z_ref | implicit | Variable complex impedances | input | 2 |
Port 4 | implicit | Conditional heat ports | input | mo_useHeatPort |