Basic Electrical and Electronics Engineering: Unit II: Electrical Machines

Double Field Revolving Theory

From the principle, ie any alternating quantity can be resolved into two quantities which rotate in opposite directions and have half of the magnitudes.

DOUBLE FIELD REVOLVING THEORY

From the principle, ie any alternating quantity can be resolved into two quantities which rotate in opposite directions and have half of the magnitudes. The alternating sinusoidal flux (ϕm) produced in the single phase induction motor can be represented by two revolving fluxes, each equal to half the value of (ϕm/2) the alternating flux and each Ns = 120ƒ/p in opposite directions by shown in fig 3.66.


The vectors a and b have been rotated by an angle +Ɵ and -Ɵ is shown in fig 3.67.


The resultant flux would be 2 × ϕm/2 × cos 2Ɵ/2

= ϕm cos Ɵ

After the quarter cycle of rotation that means Ɵ = 90°, fluxes a and b will be oppositely directed as shown in fig 3.68.


Now the resultant flux is zero.

After the half cycle rotation, which meansƟ = 180°, fluxes a and b will have resultant of -2 × ϕm/2 = -ϕm, is shown in fig 3.69


After three quarter of a cycle, that is Ɵ = 270°, again the resultant flux is zero is shown in fig 3.70.


Each of the two component fluxes revolving round the stator cuts the rotor, induces an emf and produces its own torque. This two torque are oppositely directed so that the net torque is equal to their differences.

Basic Electrical and Electronics Engineering: Unit II: Electrical Machines : Tag: : - Double Field Revolving Theory


Basic Electrical and Electronics Engineering: Unit II: Electrical Machines



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