Quasistationary DC Electrical Excited

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Quasistationary DC Electrical Excited

Electrical shunt/separate excited linear DC machine

Modelica Standard Library

	Description
	The Quasistationary DC Electrical Excited (or DC Electrical Excited) component models a DC Machine with electrical shunt or separate excitation. This model is fully compatible with the regular DC Electrical Excited model, the only difference is that electrical transients are neglected.

Variables

Name	Units	Description	Modelica ID
$phiMechanical$	$rad$	Mechanical angle of rotor against stator	phiMechanical
$wMechanical$	$\frac{rad}{s}$	Mechanical angular velocity of rotor against stator	wMechanical
$tauElectrical$	$N m$	Electromagnetic torque	tauElectrical
$tauShaft$	$N m$	Shaft torque	tauShaft
$inertiaRotor$			inertiaRotor
$inertiaStator$			inertiaStator
$fixed$			fixed
$friction$			friction
$va$	$V$	Armature voltage	va
$ia$	$A$	Armature current	ia
$ra$			ra
$la$			la
$brush$			brush
$core$			core
$strayLoad$			strayLoad
$thermalAmbient$			thermalAmbient
$ve$	$V$	Field excitation voltage	ve
$ie$	$A$	Field excitation current	ie
$airGapDC$			airGapDC
$ground$			ground
$compoundDCExcitation$			compoundDCExcitation
$groundSE$			groundSE
$re$			re
$lesigma$			lesigma

[1] $flange \cdot φ - internalSupport \cdot φ$

[2] $inertiaRotor \cdot {flange}_{a} \cdot τ$

Connections

Name	Description	Modelica ID
$flange$	Shaft	flange
${pin}_{an}$	Negative armature pin	pin_an
${pin}_{ap}$	Positive armature pin	pin_ap
${pin}_{en}$	Negative excitation pin	pin_en
${pin}_{ep}$	Positive excitation pin	pin_ep
$support$	Support at which the reaction torque is acting	support
$thermalPort$	Optional thermal port	thermalPort

Parameters

General Parameters

Name	Default	Units	Description	Modelica ID
$J_{r}$		$kg m^{2}$	Rotor moment of inertia	Jr
$J_{s}$		$kg m^{2}$	Stator moment of inertia	Js
$T_{a, oper}$		$K$	Operational armature temperature	TaOperational
$T_{e, oper}$		$K$	Operational (shunt) excitation temperature	TeOperational
Use Support Flange	$false$		True (checked) means enable stator support	useSupport
Use Thermal Port	$false$		True (checked) means thermal port is enabled	useThermalPort

Excitation Parameters

Name	Default	Units	Description	Modelica ID
$α_{e}$		$\frac{1}{K}$	Temperature coefficient of excitation resistance	alpha20e
$I_{e, nom}$		$A$	Nominal excitation current	IeNominal
$L_{e}$		$H$	Total field excitation inductance	Le
$R_{e}$		$Ω$	Warm field excitation resistance	Re
$σ_{e}$			Stray fraction of total excitation inductance	sigmae
$T_{e, ref}$		$K$	Reference temperature of excitation resistance	TeRef

Brush Losses

Name	Default	Units	Description	Modelica ID
$V$	$0$	$V$	Total voltage drop of brushes, if $i_{brush} > I_{linear}$	V
$I_{linear}$	$0.01 I_{a_{nom}}$	$A$	Current indicating linear voltage region of brush voltage drop	ILinear

See Brush for details of the brush loss model.

Core Losses

Name	Default	Units	Description	Modelica ID
$P_{ref}$	$0$	$W$	Reference rotor core losses	PRef
$V_{ref}$	$V_{nom}$	$V$	Reference RMS voltage	VRef
$ω_{ref}$	$ω_{nom}$	$\frac{rad}{s}$	Reference angular velocity	wRef

See Core for details of the core loss model.

Friction Losses

Name	Default	Units	Description	Modelica ID
$P_{ref}$	$0$	$W$	Reference friction losses	PRef
$ω_{ref}$	$ω_{nom}$	$\frac{rad}{s}$	Reference angular velocity	wRef
$p_{ω}$	$2$	$V$	Exponent of friction	power_w

See Friction for details of the friction loss model.

Stray Load Losses

Name	Default	Units	Description	Modelica ID
$I_{ref}$	$I_{a_{nom}}$	$W$	Reference RMS current	IRef
$P_{ref}$	$0$	$W$	Reference friction losses	PRef
$ω_{ref}$	$ω_{nom}$	$\frac{rad}{s}$	Reference angular velocity	wRef
$p_{ω}$	$1$	$V$	Exponent of stray load loss	power_w

See Stray Load for details of the stray load loss model.

Nominal Parameters Parameters

Name	Default	Units	Description	Modelica ID
$I_{a, nom}$		$A$	Nominal armature current	IaNominal
$ω_{nom}$		$\frac{rad}{s}$	Nominal rotational speed	wNominal
$T_{a, nom}$		$K$	Nominal armature temperature	TaNominal
$V_{a, nom}$		$V$	Nominal armature voltage	VaNominal

Nominal Resistances And Inductances Parameters

Name	Default	Units	Description	Modelica ID
$α_{a}$		$\frac{1}{K}$	Temperature coefficient of armature resistance	alpha20a
$L_{a}$		$H$	Armature inductance	La
$R_{a}$		$Ω$	Warm armature resistance	Ra
$T_{a, ref}$		$K$	Reference temperature of armature resistance	TaRef

	Modelica Standard Library
	The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.

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