 Squirrel Cage - MapleSim Help

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 Modelica Standard Library The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.