WOLFRAM SYSTEMMODELER

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 0.29kg.m2
rotor's moment of inertia 0.15kg.m2
nominal armature voltage 100V
nominal armature current 100A
nominal torque 63.66Nm
nominal speed 1425rpm
nominal mechanical output 9.5kW
efficiency 95.0% only armature
efficiency 94.06% including excitation
armature resistance 0.05Ohm at reference temperature
reference temperature TaRef 20°C
temperature coefficient alpha20a 01/K
armature inductance 0.0015H
nominal excitation voltage 100V
nominal excitation current 1A
excitation resistance 100Ohm at reference temperature
reference temperature TeRef 20°C
temperature coefficient alpha20e 01/K
excitation inductance 1H
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 TRef

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 TRef

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 (7)

flange

Type: Flange_a

Description: Shaft

support

Type: Flange_a

Description: Support at which the reaction torque is acting

pin_ap

Type: PositivePin

Description: Positive armature pin

pin_an

Type: NegativePin

Description: Negative armature pin

thermalPort

Type: ThermalPortDCEE

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

inertiaStator

Type: Inertia

fixed

Type: Fixed

friction

Type: Friction

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

la

Type: InductorDC

brush

Type: Brush

core

Type: Core

strayLoad

Type: StrayLoad

thermalAmbient

Type: ThermalAmbientDCEE

airGapDC

Type: AirGapDC

ground

Type: Ground

compoundDCExcitation

Type: CompoundDCExcitation

groundSE

Type: Ground

re

Type: Resistor

lesigma

Type: InductorDC

Used in Examples (1)

DCEE_Start

Modelica.Electrical.Machines.Examples.DCMachines

Test example: DC with electrical excitation starting with voltage ramp

Extended by (1)

DC_ElectricalExcited

Modelica.Electrical.Machines.BasicMachines.QuasiStationaryDCMachines

Quasistationary electrical shunt/separate excited linear DC machine