Modelica.Electrical.QuasiStationary.MultiPhase.Basic

Basic components for AC multiphase models

Information

This package hosts basic models for quasi stationary multiphase circuits. Quasi stationary theory can be found in the references.

See also

Extends from Modelica.Icons.Package (Icon for standard packages).

Package Content

Name	Description
Star	Star connection
Delta	Delta (polygon) connection
MultiStar	Star connection of multi phase systems consisting of multiple base systems
MultiDelta	Delta (polygon) connection of multi phase systems consisting of multiple base systems
MultiStarResistance	Resistance connection of star points
PlugToPin_p	Connect one (positive) pin
PlugToPin_n	Connect one (negative) pin
PlugToPins_p	Connect all (positive) pins
PlugToPins_n	Connect all (negative) pins
Resistor	Multiphase linear resistor
Conductor	Multiphase linear conductor
Capacitor	Multiphase linear capacitor
Inductor	Multiphase linear inductor
MutualInductor	Linear mutual inductor
Impedance	Multiphase linear impedance
Admittance	Multiphase linear admittance
VariableResistor	Multiphase variable resistor
VariableConductor	Multiphase variable conductor
VariableCapacitor	Multiphase variable capacitor
VariableInductor	Multiphase variable inductor
VariableImpedance	Multiphase variable impedance
VariableAdmittance	Multiphase variable admittance

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.Star

Star connection

Information

Star (wye) connection of a multi phase circuit. The potentials at the star points are the same.

See also

Delta, MultiStar, MultiDelta

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.Delta

Delta (polygon) connection

Information

Delta (polygon) connection of a multi phase circuit.

See also

Star, MultiStar, MultiDelta

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.MultiStar

Star connection of multi phase systems consisting of multiple base systems

Information

Star (wye) connection of a multi phase circuit consisting of multiple base systems (see multi phase guidelines). The potentials at the star points are all equal.

See also

Star, Delta, MultiDelta

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.MultiDelta

Delta (polygon) connection of multi phase systems consisting of multiple base systems

Information

Delta (polygon) connection of a multi phase circuit consisting of multiple base systems (see multi phase guidelines).

See also

Star, Delta, MultiStar

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.MultiStarResistance

Resistance connection of star points

Information

Multi star points are connected by resistors. This model is required to operate multi phase systems with even phase numbers to avoid ideal connections of start points of base systems; see multi phase guidelines.

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.PlugToPin_p

Connect one (positive) pin

Information

Connects the single phase (positive) pin k of the multi phase (positive) plug to a single phase (positive) pin.

See also

PlugToPin_n, PlutToPins_p, PlugToPins_n

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.PlugToPin_n

Connect one (negative) pin

Information

Connects the single phase (negative) pin k of the multi phase (negative) plug to a single phase (negative) pin.

See also

PlugToPin_p, PlutToPins_p, PlugToPins_n

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.PlugToPins_p

Connect all (positive) pins

Information

Connects all m single phase (positive) pins of the multi phase (positive) plug to an array of m single phase (positive) pins.

See also

PlugToPin_p, PlugToPin_n, PlugToPins_n

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.PlugToPins_n

Connect all (negative) pins

Information

Connects all m single phase (negative) pins of the multi phase (negative) plug to an array of m single phase (negative) pins.

See also

PlugToPin_p, PlugToPin_n, PlugToPins_p

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.Resistor

Multiphase linear resistor

Information

The linear resistor connects the complex voltages v with the complex currents i by i*R = v, using m single phase Resistors.

The resistor model also has m optional conditional heat ports. A linear temperature dependency of the resistances for enabled heat ports is also taken into account.

See also

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

Extends from Interfaces.TwoPlug (Two plugs with pin-adapter), Modelica.Electrical.MultiPhase.Interfaces.ConditionalHeatPort (Partial model to include conditional HeatPorts in order to describe the power loss via a thermal network).

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.Conductor

Multiphase linear conductor

Information

The linear resistor connects the complex currents i with the complex voltages v by v*G = i, using m single phase Conductors.

The conductor model also has m optional conditional heat ports. A linear temperature dependency of the conductances for enabled heat ports is also taken into account.

See also

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

Extends from Interfaces.TwoPlug (Two plugs with pin-adapter), Modelica.Electrical.MultiPhase.Interfaces.ConditionalHeatPort (Partial model to include conditional HeatPorts in order to describe the power loss via a thermal network).

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.Capacitor

Multiphase linear capacitor

Information

The linear capacitor connects the complex currents i with the complex voltages v by v*j*ω*C = i, using m single phase Capacitors.

See also

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

Extends from Interfaces.TwoPlug (Two plugs with pin-adapter).

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.Inductor

Multiphase linear inductor

Information

The linear inductor connects the complex voltages v with the complex currents i by i*j*ω*L = v, using m single phase Inductors.

See also

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

Extends from Interfaces.TwoPlug (Two plugs with pin-adapter).

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.MutualInductor

Linear mutual inductor

Information

Model of a multi phase inductor providing a mutual inductance matrix model.

Implementation

  v[1] = j*omega*L[1,1]*i[1] + j*omega*L[1,2]*i[2] + ... + j*omega*L[1,m]*i[m]
  v[2] = j*omega*L[2,1]*i[1] + j*omega*L[2,2]*i[2] + ... + j*omega*L[2,m]*i[m]
     :              :                     :                           :
  v[m] = j*omega*L[m,1]*i[1] + j*omega*L[m,2]*i[2] + ... + j*omega*L[m,m]*i[m]

Extends from Modelica.Electrical.QuasiStationary.MultiPhase.Interfaces.OnePort.

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.Impedance

Multiphase linear impedance

Information

The impedance model represents a series connection of a resistor and either an inductor or capacitor in each phase.

The linear impedance connects the voltage v with the current i by v = Z*i in each phase, using m singlephase impedances. The resistive components are modeled temperature dependent, so the real parts 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

See also

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

Extends from Interfaces.TwoPlug (Two plugs with pin-adapter), Modelica.Electrical.MultiPhase.Interfaces.ConditionalHeatPort (Partial model to include conditional HeatPorts in order to describe the power loss via a thermal network).

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.Admittance

Multiphase linear admittance

Information

The admittance model represents a parallel connection of a resistor and either a capacitor or inductor in each phase.

The linear admittance connects the voltage v with the current i by i = Y*v in each phase, using m singlephase admittances. The resistive components are modeled temperature dependent, so the real parts G_actual = real(Y) are determined from the actual operating temperatures and the reference input conductances real(Y_ref). Conditional heat ports are considered. The reactive components B_actual = imag(Y) are equal to imag(Y_ref) if frequencyDependent = false. Frequency dependency is considered by frequencyDependent = true, distinguishing two cases:

(a) imag(Y_ref) > 0: capacitive case

The actual susceptances B_actual are proportional to f/f_ref

(b) imag(Y_ref) < 0: inductive case

The actual susceptances B_actual are proportional to f_ref/f

See also

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

Extends from Interfaces.TwoPlug (Two plugs with pin-adapter), Modelica.Electrical.MultiPhase.Interfaces.ConditionalHeatPort (Partial model to include conditional HeatPorts in order to describe the power loss via a thermal network).

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.VariableResistor

Multiphase variable resistor

Information

The linear resistors connect the complex voltages v with the complex currents i by i*R = v, using m single phase variable Resistors. The resistances R are given as m input signals.

The resistor model also has m optional conditional heat ports. A linear temperature dependency of the resistances is also taken into account.

See also

VariableResistor, Resistor, Conductor, Capacitor, Inductor, Impedance, Admittance, Variable conductor, Variable capacitor, Variable inductor, Variable impedance, Variable admittance

Extends from Interfaces.TwoPlug (Two plugs with pin-adapter), Modelica.Electrical.MultiPhase.Interfaces.ConditionalHeatPort (Partial model to include conditional HeatPorts in order to describe the power loss via a thermal network).

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.VariableConductor

Multiphase variable conductor

Information

The linear resistors connect the complex currents i with the complex voltages v by v*G = i, using m single phase variable Conductors. The conductances G are given as m input signals.

The conductor model also has m optional conditional heat ports. A linear temperature dependency of the conductances is also taken into account.

See also

VariableConductor, Resistor, Conductor, Capacitor, Inductor, Impedance, Admittance, Variable resistor, Variable capacitor, Variable inductor Variable impedance, Variable admittance

Extends from Interfaces.TwoPlug (Two plugs with pin-adapter), Modelica.Electrical.MultiPhase.Interfaces.ConditionalHeatPort (Partial model to include conditional HeatPorts in order to describe the power loss via a thermal network).

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.VariableCapacitor

Multiphase variable capacitor

Information

The linear capacitors connect the complex currents i with the complex voltages v by v*j*ω*C = i, using m single phase variable Capacitors. The capacitances C are given as m input signals.

See also

VariableCapacitor, Resistor, Conductor, Capacitor, Inductor, Impedance, Admittance, Variable resistor, Variable conductor, Variable inductor Variable impedance, Variable admittance

Extends from Interfaces.TwoPlug (Two plugs with pin-adapter).

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.VariableInductor

Multiphase variable inductor

Information

The linear inductors connect the complex voltages v with the complex currents i by i*j*ω*L = v, using m single phase variable Inductors. The inductances L are given as m input signals.

See also

Inductor, Resistor, Conductor, Capacitor, Inductor, Impedance, Admittance, Variable resistor, Variable conductor, Variable capacitor Variable impedance, Variable admittance

Extends from Interfaces.TwoPlug (Two plugs with pin-adapter).

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.VariableImpedance

Multiphase variable impedance

Information

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

Extends from Interfaces.TwoPlug (Two plugs with pin-adapter), Modelica.Electrical.MultiPhase.Interfaces.ConditionalHeatPort (Partial model to include conditional HeatPorts in order to describe the power loss via a thermal network).

Parameters

Connectors

Modelica.Electrical.QuasiStationary.MultiPhase.Basic.VariableAdmittance

Multiphase variable admittance

Information

The admittance model represents a parallel connection of a resistor and either a capacitor or inductor in each phase.

The linear admittance connects the complex voltage v with the complex current i by v*Y = i in each phase, using m variable singlephase admittances. The admittances Y_ref = G_ref + j*B_ref are given as complex input signals, representing the resistive and reactive components of the input admittances. The resistive components are modeled temperature dependent, so the real part G_actual = real(Y) are determined from the actual operating temperatures and the reference input conductances real(Y_ref). Conditional heat ports are considered. The reactive components B_actual = imag(Y) are equal to imag(Y_ref) if frequencyDependent = false. Frequency dependency is considered by frequencyDependent = true, distinguishing two cases:

(a) imag(Y_ref) > 0: capacitive case

The actual susceptances B_actual are proportional to f/f_ref

(b) imag(Y_ref) < 0: inductive case

The actual susceptances B_actual are proportional to f_ref/f

Note

Zero crossings of the real or imaginary parts of the admittance signals Y_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 impedance,

Extends from Interfaces.TwoPlug (Two plugs with pin-adapter), Modelica.Electrical.MultiPhase.Interfaces.ConditionalHeatPort (Partial model to include conditional HeatPorts in order to describe the power loss via a thermal network).

Parameters

Connectors