How different power factor angle and input primary current effects on leakage reactance of the AC Machine?
What is leakage flux?
Basically AC Machine leakage flux is some amount of primary flux would the amount of input given to the primary due to this leakage flux in the magnetic circuit is not found in the whole secondary. Not linked with secondary. So this wastage flax is called leakage flux.
If we imagine an electrical circuit where the reactance, drops some amount of current, In the same way in magnetic circuit the amount of flux that is formed in the total number of primary cannot be induced in the flux secondary.
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| AC Machine Power factor angle Between leakage reactance [figure 1] |
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| AC Machine Power factor angle relation with leakage reactance[figure 2] |
What is leakage reactance ?
In AC Machine some amount of drop or loss of flux in magnetic circuit . So this wastage called leakage reactance.
If any how this leakage reactance change to control value thus its effect falls on the input current and the power factor.
So how is the leakage reaction related with the power factor that is describe in the mathematical equation of AC Machine.
We take 3 power factor angle for realization changes from.
When power factor angle is increased, the primary current also progressive order,
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| AC Machine Power factor angle Between leakage reactance [figure 2] |
Let us see where we get the values of different current for different angles of the power factor in this equation.
Leakage current with different Power factor angle 10°,30°,60°
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| AC Machine Power factor angle Between leakage reactance [figure 3] |
Increasing power factor angle with decreasing leakage inductance,Primary Leakage reactance X1= 2Ï€fL 1
Leakage inductance is directly proportional with the leakage reactance, it means increasing order leakage inductance always increase leakage reactance.
Equation
If we try to find out the mathematical equation of relation between leakage reactance vs permeability and Amp-turns.
Φ= B A wb
B= flux density
A= per unit area
Where,B= μ0 μr H is medium
B=μ0 H is air
H = Magnetic field intensity
μ0= absolute permiablity
μr= relative permiablity
H=mmf/l=NI/l
In the situation we are try to say ae if ampere turn increase, intensity of magnetic field also increase and increased the flux density and flux as a result of leakage reactance increasing.
Conclusion
In this Topic we are just show in AC Machine the what ammount leakage current in different power factor.
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