Modelica.Electrical.MultiPhase.Basic

Basic components for electrical multiphase models

Information

This package contains basic analog electrical multiphase components.

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

Package Content

Name	Description
Star	Star-connection
Delta	Delta (polygon) connection
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	Ideal linear electrical resistors
Conductor	Ideal linear electrical conductors
Capacitor	Ideal linear electrical capacitors
Inductor	Ideal linear electrical inductors
SaturatingInductor	Simple model of inductors with saturation
MutualInductor	Linear mutual inductor
ZeroInductor	Linear zero sequence inductor
Transformer	Multiphase Transformer
VariableResistor	Ideal linear electrical resistors with variable resistance
VariableConductor	Ideal linear electrical conductors with variable conductance
VariableCapacitor	Ideal linear electrical capacitors with variable capacitance
VariableInductor	Ideal linear electrical inductors with variable inductance

Modelica.Electrical.MultiPhase.Basic.Star

Star-connection

Information

Connects all pins of plug_p to pin_n, thus establishing a so-called star-connection.

Parameters

Name Description

m Number of phases

Name	Description
m	Number of phases

Connectors

Name Description

plug_p

pin_n

Name	Description
plug_p
pin_n

Modelica.Electrical.MultiPhase.Basic.Delta

Delta (polygon) connection

Information

Connects in a cyclic way plug_n.pin[j] to plug_p.pin[j+1], thus establishing a so-called delta (or polygon) connection when used in parallel to another component.

Parameters

Name Description

m Number of phases

Name	Description
m	Number of phases

Connectors

Name Description

plug_p

plug_n

Name	Description
plug_p
plug_n

Modelica.Electrical.MultiPhase.Basic.PlugToPin_p

Connect one (positive) Pin

Information

Connects pin k of plug_p to pin_p, leaving the other pins of plug_p unconnected.

Parameters

Name Description

m Number of phases

k Phase index

Name	Description
m	Number of phases
k	Phase index

Connectors

Name Description

plug_p

pin_p

Name	Description
plug_p
pin_p

Modelica.Electrical.MultiPhase.Basic.PlugToPin_n

Connect one (negative) Pin

Information

Connects pin k of plug_n to pin_n, leaving the other pins of plug_n unconnected.

Parameters

Name Description

m Number of phases

k Phase index

Name	Description
m	Number of phases
k	Phase index

Connectors

Name Description

plug_n

pin_n

Name	Description
plug_n
pin_n

Modelica.Electrical.MultiPhase.Basic.PlugToPins_p

Connect all (positive) Pins

Information

Connects all pins of plug_p to the pin array pin_p.

Parameters

Name Description

m Number of phases

Name	Description
m	Number of phases

Connectors

Name Description

plug_p

pin_p[m]

Name	Description
plug_p
pin_p[m]

Modelica.Electrical.MultiPhase.Basic.PlugToPins_n

Connect all (negative) Pins

Information

Connects all pins of plug_n to the pin array pin_n.

Parameters

Name Description

m Number of phases

Name	Description
m	Number of phases

Connectors

Name Description

plug_n

pin_n[m]

Name	Description
plug_n
pin_n[m]

Modelica.Electrical.MultiPhase.Basic.Resistor

Ideal linear electrical resistors

Information

Contains m resistors (Modelica.Electrical.Analog.Basic.Resistor)

Extends from Interfaces.TwoPlug (Component with one m-phase electric port), Modelica.Electrical.MultiPhase.Interfaces.ConditionalHeatPort (Partial model to include conditional HeatPorts in order to describe the power loss via a thermal network).

Parameters

Name Description

m Number of phases

R[m] Resistances R_ref at temperatures T_ref [Ohm]

T_ref[m] Reference temperatures [K]

alpha[m] Temperature coefficients of resistances at reference temperatures [1/K]

mh Number of heatPorts=number of phases

useHeatPort =true, if all HeatPorts are enabled

T[mh] Fixed device temperatures if useHeatPort = false [K]

Name	Description
m	Number of phases
R[m]	Resistances R_ref at temperatures T_ref [Ohm]
T_ref[m]	Reference temperatures [K]
alpha[m]	Temperature coefficients of resistances at reference temperatures [1/K]
mh	Number of heatPorts=number of phases
useHeatPort	=true, if all HeatPorts are enabled
T[mh]	Fixed device temperatures if useHeatPort = false [K]

Connectors

Name Description

plug_p

plug_n

heatPort[mh]

Name	Description
plug_p
plug_n
heatPort[mh]

Modelica.Electrical.MultiPhase.Basic.Conductor

Ideal linear electrical conductors

Information

Contains m conductors (Modelica.Electrical.Analog.Basic.Conductor)

Parameters

Name Description

m Number of phases

G[m] Conductances G_ref at temperatures T_ref [S]

T_ref[m] Reference temperatures [K]

alpha[m] Temperature coefficients of conductances at reference temperatures [1/K]

mh Number of heatPorts=number of phases

useHeatPort =true, if all HeatPorts are enabled

T[mh] Fixed device temperatures if useHeatPort = false [K]

Name	Description
m	Number of phases
G[m]	Conductances G_ref at temperatures T_ref [S]
T_ref[m]	Reference temperatures [K]
alpha[m]	Temperature coefficients of conductances at reference temperatures [1/K]
mh	Number of heatPorts=number of phases
useHeatPort	=true, if all HeatPorts are enabled
T[mh]	Fixed device temperatures if useHeatPort = false [K]

Connectors

Name Description

plug_p

plug_n

heatPort[mh]

Name	Description
plug_p
plug_n
heatPort[mh]

Modelica.Electrical.MultiPhase.Basic.Capacitor

Ideal linear electrical capacitors

Information

Contains m capacitors (Modelica.Electrical.Analog.Basic.Capacitor)

Extends from Interfaces.TwoPlug (Component with one m-phase electric port).

Parameters

Name Description

m Number of phases

C[m] Capacitance [F]

Name	Description
m	Number of phases
C[m]	Capacitance [F]

Connectors

Name Description

plug_p

plug_n

Name	Description
plug_p
plug_n

Modelica.Electrical.MultiPhase.Basic.Inductor

Ideal linear electrical inductors

Information

Contains m inductors (Modelica.Electrical.Analog.Basic.Inductor)

Extends from Interfaces.TwoPlug (Component with one m-phase electric port).

Parameters

Name Description

m Number of phases

L[m] Inductance [H]

Name	Description
m	Number of phases
L[m]	Inductance [H]

Connectors

Name Description

plug_p

plug_n

Name	Description
plug_p
plug_n

Modelica.Electrical.MultiPhase.Basic.SaturatingInductor

Simple model of inductors with saturation

Information

Contains m saturating inductors (Modelica.Electrical.Analog.Basic.SaturatingInductor)

Attention!!!
Each element of the array of saturatingInductors is only dependent on the current flowing through this element.

Extends from Interfaces.TwoPlug (Component with one m-phase electric port).

Parameters

Name Description

m Number of phases

Inom[m] Nominal current [A]

Lnom[m] Nominal inductance at Nominal current [H]

Lzer[m] Inductance near current=0 [H]

Linf[m] Inductance at large currents [H]

Name	Description
m	Number of phases
Inom[m]	Nominal current [A]
Lnom[m]	Nominal inductance at Nominal current [H]
Lzer[m]	Inductance near current=0 [H]
Linf[m]	Inductance at large currents [H]

Connectors

Name Description

plug_p

plug_n

Name	Description
plug_p
plug_n

Modelica.Electrical.MultiPhase.Basic.MutualInductor

Linear mutual inductor

Information

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

Implementation

  v[1] = L[1,1]*der(i[1]) + L[1,2]*der(i[2]) + ... + L[1,m]*der(i[m])
  v[2] = L[2,1]*der(i[1]) + L[2,2]*der(i[2]) + ... + L[2,m]*der(i[m])
    :              :                         :                                :
  v[m] = L[m,1]*der(i[1]) + L[m,2]*der(i[2]) + ... + L[m,m]*der(i[m])

Extends from Modelica.Electrical.MultiPhase.Interfaces.OnePort (Component with two electrical plugs and currents from plug_p to plug_n).

Parameters

Name Description

m Number of phases

L[m, m] Mutual inductance matrix [H]

Name	Description
m	Number of phases
L[m, m]	Mutual inductance matrix [H]

Connectors

Name Description

plug_p

plug_n

Name	Description
plug_p
plug_n

Modelica.Electrical.MultiPhase.Basic.ZeroInductor

Linear zero sequence inductor

Information

Model of a multi phase zero sequence inductor.

Implementation

  v = Lzero*sum(der(i)) = Lzero*der(sum(i))

Extends from Modelica.Electrical.MultiPhase.Interfaces.OnePort (Component with two electrical plugs and currents from plug_p to plug_n).

Parameters

Name Description

m Number of phases

Lzero Zero sequence inductance [H]

Name	Description
m	Number of phases
Lzero	Zero sequence inductance [H]

Connectors

Name Description

plug_p

plug_n

Name	Description
plug_p
plug_n

Modelica.Electrical.MultiPhase.Basic.Transformer

Multiphase Transformer

Information

Contains m transformers (Modelica.Electrical.Analog.Basic.Transformer)

Extends from Interfaces.FourPlug (Component with two m-phase electric ports).

Parameters

Name Description

m Number of phases

L1[m] Primary inductance [H]

L2[m] Secondary inductance [H]

M[m] Coupling inductance [H]

Name	Description
m	Number of phases
L1[m]	Primary inductance [H]
L2[m]	Secondary inductance [H]
M[m]	Coupling inductance [H]

Connectors

Name Description

plug_p1

plug_p2

plug_n1

plug_n2

Name	Description
plug_p1
plug_p2
plug_n1
plug_n2

Modelica.Electrical.MultiPhase.Basic.VariableResistor

Ideal linear electrical resistors with variable resistance

Information

Contains m variable resistors (Modelica.Electrical.Analog.Basic.VariableResistor)

Attention!!!
It is recommended that none of the R_Port signals should not cross the zero value. Otherwise depending on the surrounding circuit the probability of singularities is high.

Parameters

Name Description

m Number of phases

T_ref[m] Reference temperatures [K]

alpha[m] Temperature coefficients of resistances at reference temperatures [1/K]

mh Number of heatPorts=number of phases

useHeatPort =true, if all HeatPorts are enabled

T[mh] Fixed device temperatures if useHeatPort = false [K]

Name	Description
m	Number of phases
T_ref[m]	Reference temperatures [K]
alpha[m]	Temperature coefficients of resistances at reference temperatures [1/K]
mh	Number of heatPorts=number of phases
useHeatPort	=true, if all HeatPorts are enabled
T[mh]	Fixed device temperatures if useHeatPort = false [K]

Connectors

Name Description

plug_p

plug_n

heatPort[mh]

R[m] [Ohm]

Name	Description
plug_p
plug_n
heatPort[mh]
R[m]	[Ohm]

Modelica.Electrical.MultiPhase.Basic.VariableConductor

Ideal linear electrical conductors with variable conductance

Information

Contains m variable conductors (Modelica.Electrical.Analog.Basic.VariableConductor)

Attention!!!
It is recommended that none of the G_Port signals should not cross the zero value. Otherwise depending on the surrounding circuit the probability of singularities is high.

Parameters

Name Description

m Number of phases

T_ref[m] Reference temperatures [K]

alpha[m] Temperature coefficients of conductances at reference temperatures [1/K]

mh Number of heatPorts=number of phases

useHeatPort =true, if all HeatPorts are enabled

T[mh] Fixed device temperatures if useHeatPort = false [K]

Name	Description
m	Number of phases
T_ref[m]	Reference temperatures [K]
alpha[m]	Temperature coefficients of conductances at reference temperatures [1/K]
mh	Number of heatPorts=number of phases
useHeatPort	=true, if all HeatPorts are enabled
T[mh]	Fixed device temperatures if useHeatPort = false [K]

Connectors

Name Description

plug_p

plug_n

heatPort[mh]

G[m] [S]

Name	Description
plug_p
plug_n
heatPort[mh]
G[m]	[S]

Modelica.Electrical.MultiPhase.Basic.VariableCapacitor

Ideal linear electrical capacitors with variable capacitance

Information

Contains m variable capacitors (Modelica.Electrical.Analog.Basic.VariableCapacitor)

It is required that each C_Port.signal ≥ 0, otherwise an assertion is raised. To avoid a variable index system,
C = Cmin, if 0 ≤ C_Port.signal < Cmin, where Cmin is a parameter with default value Modelica.Constants.eps.

Extends from Interfaces.TwoPlug (Component with one m-phase electric port).

Parameters

Name Description

m Number of phases

Cmin[m] minimum Capacitance [F]

Name	Description
m	Number of phases
Cmin[m]	minimum Capacitance [F]

Connectors

Name Description

plug_p

plug_n

C[m] [F]

Name	Description
plug_p
plug_n
C[m]	[F]

Modelica.Electrical.MultiPhase.Basic.VariableInductor

Ideal linear electrical inductors with variable inductance

Information

Contains m variable inductors (Modelica.Electrical.Analog.Basic.VariableInductor)

It is required that each L_Port.signal ≥ 0, otherwise an assertion is raised. To avoid a variable index system,
L = Lmin, if 0 ≤ L_Port.signal < Lmin, where Lmin is a parameter with default value Modelica.Constants.eps.

Extends from Interfaces.TwoPlug (Component with one m-phase electric port).

Parameters

Name Description

m Number of phases

Lmin[m] minimum Inductance [H]

Name	Description
m	Number of phases
Lmin[m]	minimum Inductance [H]

Connectors

Name Description

plug_p

plug_n

L[m] [H]

Name	Description
plug_p
plug_n
L[m]	[H]

Automatically generated Mon Sep 23 17:20:33 2013.