QuasiStatic IM Squirrel Cage

Induction machine with squirrel cage

Description

The QuasiStatic IM Squirrel Cage component models a multiphase induction machine with a squirrel cage.

Resistances and stray inductances of the machine refer to an $m$ phase stator.

The symmetry of the stator, rotor and supply are assumed.

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 $\mathrm{powerBalance}$ Power balance powerBalance $\mathrm{flange}$ Shaft flange $\mathrm{support}$ Support at which the reaction torque is acting support ${\mathrm{plug}}_{\mathrm{sp}}$ Positive plug of stator plug_sp ${\mathrm{plug}}_{\mathrm{sn}}$ Negative plug of stator plug_sn $\mathrm{thermalPort}$ Thermal port of induction machines thermalPort

Parameters

General Parameters

 Name Default Units Description Modelica ID $m$ $3$ Number of stator phases m ${J}_{r}$ $0.29$ $\mathrm{kg}{m}^{2}$ 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 ${f}_{s,\mathrm{nom}}$ $50$ $\mathrm{Hz}$ Nominal frequency fsNominal ${T}_{s,\mathrm{oper}}$ $293.15$ $K$ Operational temperature of stator resistance TsOperational ${T}_{r,\mathrm{oper}}$ $293.15$ $K$ Operational temperature of rotor resistance TrOperational 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 Effective Stator Turns $1$ Effective number of stator turns effectiveStatorTurns ${L}_{r,0}$ $H$ Lrzero ${L}_{s,0}$ $H$ Lszero

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 ${L}_{m}$ $H$ Main field inductance Lm ${L}_{r\sigma }$ $H$ Rotor stray inductance per phase Lrsigma ${L}_{s\sigma }$ $H$ Stator stray inductance per phase Lssigma ${R}_{r}$ $0.04$ $\mathrm{\Omega }$ 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