modelling steps for induction machine

1. INDUCTION MACHINE
MODELLING
EQUATIONS
PREPARED BY :
UPADHYAY RAKSHITA R.
Er No : 140370707018
Roll No : 24

2. Contents..
 Introduction
 Voltage equations
 Flux linkage equations
 Torque equations
 Conclusion
 References
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3. Introduction
 Types of reference frames :
1) Arbitrary reference frame : rotating at speed of w in the
direction of rotor.
2) Stationary reference frame theory : w=0
3) Synchronously rotating reference frame : w= we
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4. Voltage equations
1) Convert the Vabc to Vqdo
Where ,
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5. 2 ) Voltage equations in qd0 frame:
from transformation we can write,
And finally we can write
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6. Flux linkage equations
1) Flux linkage equations in qdo frame
qdo stator flux equation
qdo rotor flux equation
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By combining both stator and rotor flux linkage we get
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8. Torque equations
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1) Instantaneous input power of all 6 winding
In terms of qdo quantities:
Putting value of voltages we get

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Using flux linkage relationship we can write
Finally torque equations can be written as

10. Conclusion
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 The arbitrary reference frame is the easiest way to
express induction machine mathematically and also
permits effect of saturation to be readily simulated.

11. References
 Dynamic Simulation of Electric Machinery using
MATLAB by ONG, Chee-Mun - Prentice Hall PTR
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