Analysis of a two-phase induction motor using dynamic model ...

More documents

Recommendations

Info

As. J. Energy Env. 2010, 11(01), 48-59 51isαL=ψ− Lψrα sα mα rα,2Ls αLrα − Lmα(9)isβL=ψ− Lψrβ sβ mβ rβ,2LsβLrβ − Lmβ(10)irαL ψ=− Lψsα rα mα sα,2Ls αLrα − Lmα(11)irβL=ψ− Lψsβ rβ mβ sβ.2LsβLrβ − Lmβ(12)The equation of electromagnetic torque produced by the machine is then given by the equation:Te = pp( Lmβisβir α−Lm αisαi rβ), (13)and the mechanical dynamic is modeled by the equationdJ ωr= Te −TL.dt(14)where vs α, vsβ, vr α,vsβare the stator and rotor voltages, is α, isβ, ir α,isβare the stator and rotorcurrents, ψs α, ψsβ, ψr α,ψs βare the stator and rotor flux linkages, Rs α, Rsβ, Rr α,Rsβare the stator androtor resistances, Ls α, Lsβ, Lr α,Lsβare the stator and rotor inductances, Lmα, Lmβare themagnetizing inductances, ω ris the electrical rotor angular speed, T eis the electromagnetictorque, TLis the load torque, J is the rotor moment of inertia, d dtand a is the main per auxiliary winding turns ratio.Modelling Using Matlab/Simulinkis the differential operatorMatlab/Simulink models were developed to examine the asymmetrical two-phase inductionmotor. The equation from (1)-(4) and (9)-(14) have been implemented in Simulink using adifferent block. In this paper the step by step modelling of the asymmetrical two-phaseinduction motor has been described.Figs. 3 and 4 show the subsystem block of stator and rotor voltages and currents, respectively.The electromagnetic torque and rotor speed determined is as shown in Fig. 5. Finally in Fig. 6implementation of the Simulink model of asymmetrical two-phase induction motor has beenshown.
As. J. Energy Env. 2010, 11(01), 48-59 52Figure 3. Stator and rotor voltage equations.Figure 4. Stator and rotor current equations.Figure 5. Electromagnetic torque and rotor speed equations.
Page 1 and 2: As. J. Energy Env. 2010, 11(01), 48
Page 3: As. J. Energy Env. 2010, 11(01), 48

Analysis of a two-phase induction motor using dynamic model ...

You also want an ePaper? Increase the reach of your titles

Delete template?

Save as template?