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WOLFRAM SYSTEM MODELER

DC_ElectricalExcited

Electrical shunt/separate excited linear DC machine

Diagram

Wolfram Language

In[1]:=

SystemModel["Modelica.Electrical.Machines.BasicMachines.DCMachines.DC_ElectricalExcited"]

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Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

Model of a DC Machine with electrical shunt or separate excitation.
Armature resistance and inductance are modeled directly after the armature pins, then using a AirGapDC model.
The machine models take the following loss effects into account:

heat losses in the temperature dependent armature winding resistance
heat losses in the temperature dependent excitation winding resistance
brush losses in the armature circuit
friction losses
core losses (only eddy current losses, no hysteresis losses)
stray load losses

No saturation is modelled.
Shunt or separate excitation is defined by the user's external circuit.
Default values for machine's parameters (a realistic example) are:

stator's moment of inertia	0.29	kg.m2
rotor's moment of inertia	0.15	kg.m2
nominal armature voltage	100	V
nominal armature current	100	A
nominal torque	63.66	Nm
nominal speed	1425	rpm
nominal mechanical output	9.5	kW
efficiency	95.0	% only armature
efficiency	94.06	% including excitation
armature resistance	0.05	Ohm at reference temperature
reference temperature TaRef	20	°C
temperature coefficient alpha20a	0	1/K
armature inductance	0.0015	H
nominal excitation voltage	100	V
nominal excitation current	1	A
excitation resistance	100	Ohm at reference temperature
reference temperature TeRef	20	°C
temperature coefficient alpha20e	0	1/K
excitation inductance	1	H
stray part of excitation inductance	0
armature nominal temperature TaNominal	20	°C
armature operational temperature TaOperational	20	°C
(shunt) excitation operational temperature TeOperational	20	°C

Armature resistance resp. inductance include resistance resp. inductance of commutating pole winding and compensation winding, if present.
Armature current does not cover excitation current of a shunt excitation; in this case total current drawn from the grid = armature current + excitation current.

Parameters (24)

Jr	Value: Type: Inertia (kg⋅m²) Description: Rotor's moment of inertia
useSupport	Value: false Type: Boolean Description: Enable / disable (=fixed stator) support
Js	Value: Jr Type: Inertia (kg⋅m²) Description: Stator's moment of inertia
useThermalPort	Value: false Type: Boolean Description: Enable / disable (=fixed temperatures) thermal port
frictionParameters	Value: Type: FrictionParameters Description: Friction loss parameter record
TaOperational	Value: Type: Temperature (K) Description: Operational armature temperature
VaNominal	Value: Type: Voltage (V) Description: Nominal armature voltage
IaNominal	Value: Type: Current (A) Description: Nominal armature current (>0..Motor, <0..Generator)
wNominal	Value: Type: AngularVelocity (rad/s) Description: Nominal speed
TaNominal	Value: Type: Temperature (K) Description: Nominal armature temperature
Ra	Value: Type: Resistance (Ω) Description: Armature resistance at TaRef
TaRef	Value: Type: Temperature (K) Description: Reference temperature of armature resistance
alpha20a	Value: Type: LinearTemperatureCoefficient20 (1/K) Description: Temperature coefficient of armature resistance
La	Value: Type: Inductance (H) Description: Armature inductance
coreParameters	Value: Type: CoreParameters Description: Armature core loss parameter record
strayLoadParameters	Value: Type: StrayLoadParameters Description: Stray load loss parameter record
brushParameters	Value: Type: BrushParameters Description: Brush loss parameter record
IeNominal	Value: Type: Current (A) Description: Nominal excitation current
Re	Value: Type: Resistance (Ω) Description: Field excitation resistance at TeRef
TeRef	Value: Type: Temperature (K) Description: Reference temperature of excitation resistance
alpha20e	Value: Type: LinearTemperatureCoefficient20 (1/K) Description: Temperature coefficient of excitation resistance
Le	Value: Type: Inductance (H) Description: Total field excitation inductance
sigmae	Value: Type: Real Description: Stray fraction of total excitation inductance
TeOperational	Value: Type: Temperature (K) Description: Operational (shunt) excitation temperature

Outputs (9)

phiMechanical	Default Value: flange.phi - internalSupport.phi Type: Angle (rad) Description: Mechanical angle of rotor against stator
wMechanical	Default Value: der(phiMechanical) Type: AngularVelocity (rad/s) Description: Mechanical angular velocity of rotor against stator
tauElectrical	Default Value: inertiaRotor.flange_a.tau Type: Torque (N⋅m) Description: Electromagnetic torque
tauShaft	Default Value: -flange.tau Type: Torque (N⋅m) Description: Shaft torque
powerBalance	Type: PowerBalanceDCEE Description: Power balance
va	Default Value: pin_ap.v - pin_an.v Type: Voltage (V) Description: Armature voltage
ia	Default Value: pin_ap.i Type: Current (A) Description: Armature current
ve	Default Value: pin_ep.v - pin_en.v Type: Voltage (V) Description: Field excitation voltage
ie	Default Value: pin_ep.i Type: Current (A) Description: Field excitation current

Connectors (9)

	flange	Type: Flange_a Description: Shaft
	support	Type: Flange_a Description: Support at which the reaction torque is acting
	internalSupport	Type: Support Description: Support/housing flange of a one-dimensional rotational shaft
	pin_ap	Type: PositivePin Description: Positive armature pin
	pin_an	Type: NegativePin Description: Negative armature pin
	thermalPort	Type: ThermalPortDCEE Description: Thermal port of DC machine with electrical excitation
	internalThermalPort	Type: ThermalPortDCEE Description: Thermal port of DC machine with electrical excitation
	pin_ep	Type: PositivePin Description: Positive excitation pin
	pin_en	Type: NegativePin Description: Negative excitation pin

Components (21)

	frictionParameters	Type: FrictionParameters Description: Friction loss parameter record
	inertiaRotor	Type: Inertia Description: 1D-rotational component with inertia
	inertiaStator	Type: Inertia Description: 1D-rotational component with inertia
	fixed	Type: Fixed Description: Flange fixed in housing at a given angle
	friction	Type: Friction Description: Model of angular velocity dependent friction losses
	coreParameters	Type: CoreParameters Description: Armature core loss parameter record
	strayLoadParameters	Type: StrayLoadParameters Description: Stray load loss parameter record
	brushParameters	Type: BrushParameters Description: Brush loss parameter record
	powerBalance	Type: PowerBalanceDCEE Description: Power balance
	ra	Type: Resistor Description: Ideal linear electrical resistor
	la	Type: InductorDC Description: Ideal linear electrical inductor for electrical DC machines
	brush	Type: Brush Description: Model considering voltage drop of carbon brushes
	core	Type: Core Description: Model of core losses
	strayLoad	Type: StrayLoad Description: Model of stray load losses dependent on current and speed
	thermalAmbient	Type: ThermalAmbientDCEE Description: Thermal ambient for DC machine with electrical excitation
	airGapDC	Type: AirGapDC Description: Linear airgap model of a DC machine
	ground	Type: Ground Description: Ground node
	compoundDCExcitation	Type: CompoundDCExcitation Description: Compound excitation = shunt + series
	groundSE	Type: Ground Description: Ground node
	re	Type: Resistor Description: Ideal linear electrical resistor
	lesigma	Type: InductorDC Description: Ideal linear electrical inductor for electrical DC machines