WOLFRAM SYSTEM MODELER
DC_PermanentMagnetPermanent magnet DC machine |
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Diagram
Wolfram Language
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SystemModel["Modelica.Electrical.Machines.BasicMachines.DCMachines.DC_PermanentMagnet"]
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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 permanent magnets.
Armature resistance and inductance are modeled directly after the armature pins, then using a AirGapDC model. Permanent magnet excitation is modelled by a constant equivalent excitation current feeding AirGapDC. The machine models take the following loss effects into account:
- heat losses in the temperature dependent armature 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.
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 speed | 1425 | rpm |
| nominal torque | 63.66 | Nm |
| nominal mechanical output | 9.5 | kW |
| efficiency | 95.0 | % |
| armature resistance | 0.05 | Ohm at reference temperature |
| reference temperature TaRef | 20 | °C |
| temperature coefficient alpha20a | 0 | 1/K |
| armature inductance | 0.0015 | H |
| armature nominal temperature TaNominal | 20 | °C |
| armature operational temperature TaOperational | 20 | °C |
Parameters (18)
| 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 |
| TpmOperational |
Value: 293.15 Type: Temperature (K) Description: Operational temperature of permanent magnet |
Outputs (7)
| 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: PowerBalanceDCPM 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 |
Connectors (7)
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flange |
Type: Flange_a Description: Shaft |
|---|---|---|
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support |
Type: Flange_a Description: Support at which the reaction torque is acting |
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internalSupport |
Type: Support Description: Support/housing flange of a one-dimensional rotational shaft |
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pin_ap |
Type: PositivePin Description: Positive armature pin |
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pin_an |
Type: NegativePin Description: Negative armature pin |
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thermalPort |
Type: ThermalPortDCPM Description: Thermal port of DC machine with permanent magnets |
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internalThermalPort |
Type: ThermalPortDCPM Description: Thermal port of DC machine with permanent magnets |
Components (18)
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frictionParameters |
Type: FrictionParameters Description: Friction loss parameter record |
|---|---|---|
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inertiaRotor |
Type: Inertia Description: 1D-rotational component with inertia |
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inertiaStator |
Type: Inertia Description: 1D-rotational component with inertia |
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fixed |
Type: Fixed Description: Flange fixed in housing at a given angle |
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friction |
Type: Friction Description: Model of angular velocity dependent friction losses |
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coreParameters |
Type: CoreParameters Description: Armature core loss parameter record |
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strayLoadParameters |
Type: StrayLoadParameters Description: Stray load loss parameter record |
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brushParameters |
Type: BrushParameters Description: Brush loss parameter record |
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powerBalance |
Type: PowerBalanceDCPM Description: Power balance |
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ra |
Type: Resistor Description: Ideal linear electrical resistor |
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la |
Type: InductorDC Description: Ideal linear electrical inductor for electrical DC machines |
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brush |
Type: Brush Description: Model considering voltage drop of carbon brushes |
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core |
Type: Core Description: Model of core losses |
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strayLoad |
Type: StrayLoad Description: Model of stray load losses dependent on current and speed |
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thermalAmbient |
Type: ThermalAmbientDCPM Description: Thermal ambient for DC machine with permanent magnets |
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airGapDC |
Type: AirGapDC Description: Linear airgap model of a DC machine |
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eGround |
Type: Ground Description: Ground node |
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ie |
Type: ConstantCurrent Description: Source for constant current |
Used in Examples (8)
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Modelica.Electrical.Machines.Examples.DCMachines Test example: DC with permanent magnet starting with voltage ramp |
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Modelica.Electrical.Machines.Examples.DCMachines Test example: DC with permanent magnet starting with current controller |
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Modelica.Electrical.Machines.Examples.DCMachines Test example: Investigate temperature dependency of a DCPM motor |
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Modelica.Electrical.Machines.Examples.DCMachines Test example: Cooling of a DCPM motor |
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Modelica.Electrical.Machines.Examples.DCMachines Test example: Compare DCPM motors transient - quasi-static |
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Modelica.Electrical.Machines.Examples.DCMachines Test example: Investigate influence of losses on DCPM motor performance |
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ThyristorBridge2mPulse_DC_Drive Modelica.Electrical.PowerConverters.Examples.ACDC.RectifierBridge2mPulse 2*m pulse thyristor bridge feeding a DC drive |
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Modelica.Electrical.PowerConverters.Examples.DCDC.HBridge H bridge DC/DC converter with DC drive |
Used in Components (1)
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Modelica.Electrical.Machines.Examples.ControlledDCDrives.Utilities Partial controlled DC PM drive with H-bridge from battery |
Extended by (1)
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Modelica.Electrical.Machines.BasicMachines.QuasiStaticDCMachines Quasi-static permanent magnet DC machine |