modelAIM_3ph

Simple three-phase induction machine

Extends from ComplexLib.Machines.Interfaces.PartialBasicElectricMachine3ph (Basic model for three-phase electric machines (no current phasor balance, no power calculation)).

Information

This approximation of a three-phase asynchronous induction machine using phasor domain for the electrical subsystem is based on the well-known steady-state equivalent circuit of such a machine. The machine is an extension of the partial Interface package model PartialBasicElectricMachine3ph of an electric three-phase machine. The model has two electrical connectors of type ComplexPlug (which correspond to six connectors of type ComplexPin) and one mechanical rotational flange. The stator is assumed to be fixed in the housing.

The electrical submodel has three phases. Each phase consists of a main inductance and two stray inductances as well as a stator and a rotor resistance. All inductances are assumed to be ideal (electrically linear, no saturation).
The mechanical submodel contains a shaft which is fixed to the rotor.

Using this model, one can carry out steady-state or quasi-stationary investigations of the electrical subsystem. The mechanical subsystem may show transient behaviour which must be sufficiently slow.

Attention!!!
To ensure that the phasor domain-based model works in a quasi-stationary mode, the slip s may alter only very slowly in comparison with both the nominal frequency f=ω/(2π) and the dominant time constant of the electrical subsystem.

Main Author:
Olaf Enge-Rosenblatt
Fraunhofer IIS/EAS, Dresden
email: olaf.enge@eas.iis.fraunhofer.de

Parameters

TypeNameDefaultDescription
Modelica.SIunits.InertiaJ_Rotor (from PartialBasicMachine)1Rotor's moment of inertia
Integerm (from PartialBasicElectricMachine3ph)3Number of phases
Realn1Ratio of windings
SI.ResistanceRs0.01Ohmic stator resistance per phase
SI.ResistanceRr0.1Ohmic rotor resistance per phase
SI.InductanceLs1Stator inductance per phase
SI.InductanceLr1Rotor inductance per phase
Realsigma0.001Stray ratio

Connectors

TypeNameDefaultDescription
Modelica.Mechanics.Rotational.Interfaces.Flange_ashaft (from PartialBasicMachine)Flange at shaft
ComplexLib.MultiPhase.Interfaces.PosComplexPlugplug_p (from PartialBasicElectricMachine3ph)Positive complex plug
ComplexLib.MultiPhase.Interfaces.NegComplexPlugplug_n (from PartialBasicElectricMachine3ph)Negative complex plug

Components

TypeNameDefaultDescription
Modelica.Mechanics.Rotational.Components.InertiainertiaRotor (from PartialBasicMachine)
Modelica.Mechanics.Rotational.Components.FixedfixedHousing (from PartialBasicMachine)
SI.Voltage[m]v (from PartialBasicElectricMachine3ph)Voltages between the two plugs
SI.Voltage[m]vRe (from PartialBasicElectricMachine3ph)Active parts of voltage phasors
SI.Voltage[m]vIm (from PartialBasicElectricMachine3ph)Reactive parts of voltage phasors
SI.Current[m]i (from PartialBasicElectricMachine3ph)Currents flowing into positive plug
SI.Current[m]iRe (from PartialBasicElectricMachine3ph)Active parts of current phasors
SI.Current[m]iIm (from PartialBasicElectricMachine3ph)Reactive parts of current phasors
SI.AngularFrequencyomegaMechAngular velocity of rotor
RealsSlip
SI.TorqueTrqTorque produced electrically
SI.PowerP_mechMechanical power