AIM Squirrel Cage - MapleSim Help

AIM_Squirrel Cage

Asynchronous induction machine with squirrel cage rotor

Description

The AIM_Squirrel Cage (or AIM Squirrel Cage) component models a three phase asynchronous induction machine with a squirrel cage. The resistance and stray inductance of the stator is modeled directly in stator phases, then using space phasor transformation. The resistance and stray inductance of the rotor's squirrel cage is modeled in two axis of the rotor-fixed coordinate system. Both are connected together via a stator-fixed Air Gap model.

The following losses are modeled:

 • heat losses in the temperature dependent stator winding resistances
 • heat losses in the temperature dependent cage resistances
 • friction losses
 • core losses (only eddy current losses, no hysteresis losses)

Connections

 Name Description Modelica ID $\mathrm{flange}$ Shaft flange ${\mathrm{plug}}_{\mathrm{sn}}$ Negative stator plug plug_sn ${\mathrm{plug}}_{\mathrm{sp}}$ Positive stator plug plug_sp $\mathrm{support}$ Support at which the reaction torque is acting support $\mathrm{thermalPort}$ thermalPort

Parameters

General Parameters

 Name Default Units Description Modelica ID ${f}_{s,\mathrm{nom}}$ 50 $\mathrm{Hz}$ Nominal frequency fsNominal ${J}_{r}$ 0.29 $\mathrm{kg}{m}^{2}$ Rotor moment of inertia Jr ${J}_{s}$ J[r] $\mathrm{kg}{m}^{2}$ Stator moment of inertia Js $p$ 2 Number of pole pairs (Integer) p ${T}_{r,\mathrm{oper}}$ 293.15 $K$ Operational temperature of rotor resistance TrOperational ${T}_{s,\mathrm{oper}}$ 293.15 $K$ Operational temperature of stator resistance TsOperational Use Support Flange $\mathrm{false}$ True (checked) means enable stator support flange useSupport Use Thermal Port $\mathrm{false}$ True (checked) means thermal port is enabled useThermalPort

Friction Losses

 Name Default Units Description Modelica ID ${P}_{\mathrm{ref}}$ $0$ $W$ Reference friction losses PRef ${\omega }_{\mathrm{ref}}$ ${\omega }_{\mathrm{nom}}$ $\frac{\mathrm{rad}}{s}$ Reference angular velocity wRef ${p}_{\omega }$ $2$ $V$ Exponent of friction power_w

See Friction for details of the friction loss model.

Stator Core Losses

 Name Default Units Description Modelica ID ${P}_{\mathrm{ref}}$ $0$ $W$ Reference rotor core losses PRef ${V}_{\mathrm{ref}}$ $V$ Reference RMS voltage VRef ${\omega }_{\mathrm{ref}}$ $2\pi {f}_{s,\mathrm{nom}}$ $\frac{\mathrm{rad}}{s}$ Reference angular velocity wRef

See Core for details of the core loss model.

 Name Default Units Description Modelica ID ${I}_{\mathrm{ref}}$ ${I}_{{a}_{\mathrm{nom}}}$ $W$ Reference RMS current IRef ${P}_{\mathrm{ref}}$ $0$ $W$ Reference friction losses PRef ${\omega }_{\mathrm{ref}}$ ${\omega }_{\mathrm{nom}}$ $\frac{\mathrm{rad}}{s}$ Reference angular velocity wRef ${p}_{\omega }$ $1$ $V$ Exponent of stray load loss power_w

 Name Default Units Description Modelica ID ${\mathrm{\alpha }}_{r}$ 0 $\frac{1}{K}$ Temperature coefficient of rotor resistance at 20 degC alpha20r ${\mathrm{\alpha }}_{s}$ 0 $\frac{1}{K}$ Temperature coefficient of stator resistance at 20 degC alpha20s ${L}_{m}$ [1] $H$ Main field inductance Lm ${L}_{r\sigma }$ [1] $H$ Rotor stray inductance per phase Lrsigma ${L}_{s\sigma }$ [1] $H$ Stator stray inductance per phase Lssigma ${L}_{s,0}$ ${L}_{s\sigma }$ $H$ Stator zero sequence inductance Lszero ${R}_{r}$ 0.04 $\mathrm{\Omega }$ Warm rotor resistance per phase Rr ${R}_{s}$ 0.03 $\mathrm{\Omega }$ Warm stator resistance per phase Rs ${T}_{r,\mathrm{ref}}$ 293.15 $K$ Reference temperature of rotor resistance TrRef ${T}_{s,\mathrm{ref}}$ 293.15 $K$ Reference temperature of stator resistance TsRef
[1] $1.5\frac{1-\sqrt{0.9333}}{\mathrm{\pi }{f}_{s,\mathrm{nom}}}$