modelAIM_2phPwr

Simple two-phase induction machine with power calculation

Extends from ComplexLib.Machines.Interfaces.PartialBasicElectricMachine2phPwr (Basic model for two-phase electric machines (no current phasor balance, but using power calculation)).

Information

This approximation of a two-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 PartialBasicElectricMachine2phPwr of an electric two-phase machine with calculation of electric power. The model has four electrical connectors of type ComplexPin (i.e. it has two electrical ports) and one mechanical rotational flange. The stator is assumed to be fixed in the housing.

The electrical submodel has two 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 PartialBasicElectricMachine2phPwr)2Number 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.Interfaces.ComplexOutputcomplexPwr1 (from PartialBasicElectricMachine2phPwr)Complex value of power of phase 1
ComplexLib.Interfaces.ComplexOutputcomplexPwr2 (from PartialBasicElectricMachine2phPwr)Complex value of power of phase 2
ComplexLib.SinglePhase.Interfaces.PosComplexPinp1 (from PartialBasicElectricMachine2phPwr)Positive complex pin no.1
ComplexLib.SinglePhase.Interfaces.PosComplexPinp2 (from PartialBasicElectricMachine2phPwr)Positive complex pin no.2
ComplexLib.SinglePhase.Interfaces.NegComplexPinn1 (from PartialBasicElectricMachine2phPwr)Negative complex pin no.1
ComplexLib.SinglePhase.Interfaces.NegComplexPinn2 (from PartialBasicElectricMachine2phPwr)Negative complex pin no.2

Components

TypeNameDefaultDescription
Modelica.Mechanics.Rotational.Components.InertiainertiaRotor (from PartialBasicMachine)
Modelica.Mechanics.Rotational.Components.FixedfixedHousing (from PartialBasicMachine)
SI.Voltage[m]v (from PartialBasicElectricMachine2phPwr)Voltages between the two plugs
SI.Voltage[m]vRe (from PartialBasicElectricMachine2phPwr)Active parts of voltage phasors
SI.Voltage[m]vIm (from PartialBasicElectricMachine2phPwr)Reactive parts of voltage phasors
SI.Current[m]i (from PartialBasicElectricMachine2phPwr)Currents flowing into positive plug
SI.Current[m]iRe (from PartialBasicElectricMachine2phPwr)Active parts of current phasors
SI.Current[m]iIm (from PartialBasicElectricMachine2phPwr)Reactive parts of current phasors
SI.Angle[m]phi (from PartialBasicElectricMachine2phPwr)Angles between voltage and current phasors
SI.Angle[m]phi_v (from PartialBasicElectricMachine2phPwr)Angles of voltage phasors
SI.Angle[m]phi_i (from PartialBasicElectricMachine2phPwr)Angles of current phasors
SI.Power[m]activePwr (from PartialBasicElectricMachine2phPwr)Active power of phase
SI.Power[m]idlePwr (from PartialBasicElectricMachine2phPwr)Reactive power of phase
SI.AngularFrequencyomegaMechAngular velocity of rotors
RealsSlip
SI.TorqueTrqTorque produced electrically
SI.PowerP_mechMechanical power