electrical degree


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electrical degree

[i′lek·trə·kəl də′grē]
(electricity)
A unit equal to ¹⁄₃₆₀ cycle of an alternating quantity.

Electrical degree

A time interval equal to 1/360 of the time required for one complete cycle of alternating current. Mechanical rotation is often measured in degrees, 360° constituting one complete revolution. In describing alternating voltages and currents, the time for one complete cycle is considered to be equivalent to 360 electrical degrees (360°) or 2&pgr; electrical radians. For example, if the frequency f is 60 cycles per second (60 Hz), 360° corresponds to 1/60 second and 1 electrical degree to 1/21,600 second.

There is a definite relationship between electrical and mechanical degrees in rotating electric generators and motors. The illustration shows typical coil and angular relationships in a two-pole alternator. As the magnetic field in the machine moves relative to the coils in the armature winding, the coils are linked sequentially by the fluxes of north and south magnetic poles; two flux reversals induce one cycle of voltage in a given coil. Thus, in a two-pole machine 360° of electrical cycle corresponds to 360° of mechanical rotation, and an angle measured in mechanical degrees has the same value in electrical degrees. However, in a machine with more than two poles, one electrical cycle is generated per pair of poles per revolution. For example, a six-pole machine generates three cycles of voltage in each armature coil per revolution. In this case, each mechanical degree is equivalent to 3 electrical degrees. In general, the relationship

below is valid, where p is the number of magnetic poles of either the rotor or the stator. It follows that the electrical angle between the centers of succeeding poles of opposite polarity is always 180 electrical degrees.

Coil and angular relationships in a two-pole alternatorenlarge picture
Coil and angular relationships in a two-pole alternator

The concept of electrical degrees simplifies the analysis of multipolar machines by allowing them to be analyzed on a two-pole basis. Furthermore, it permits trigonometry to be used in solving alternating-current problems. See Alternating current, Electric rotating machinery, Generator, Motor, Windings in electric machinery

References in periodicals archive ?
i]--the asymmetry of i-th rectangle of the stair-shape half-period of magnetomotive force in respect of the selected coordinate axis, expressed in electrical degrees of the fundamental space harmonic; v - the number of odd space harmonic; v - the number of even space harmonic.
i]--width of the i-th rectangle, expressed in electrical degrees of the fundamental space harmonic; k--the number of rectangles which constitute the stair-shaped curve of instantaneous rotating magnetomotive force; v--series number of odd space harmonic.
For the purpose of comparison of analyzed winding the two-layer preformed three-phase winding of the following parameters was used: number of poles 2p = 2, number of sections in the group q = 2, number of slots of stator magnetic circuit Z = 2p m q = 2 x 3 x 2 = 12, pole pitch [tau] = Z/(2p) = 12/2 = 6, winding span y = 5 [[tau]/6] = 5 x [6/6] = 5, magnetic circuit slot pitch in electrical degrees [alpha] = 360[degrees]p/Z = 360[degrees] x [1/12] = 30[degrees].
Common parameters of stator for both motors are the following: number of phases m = 3; number of stator magnetic circuit slots Z = = 24; number of poles 2p = 2; number of pole and phase slots q = Z/(2p m) = 24 /(2 x 3) = 4; pole pitch [tau] = Z/2p = = 24 / 2 = 12; slot span expressed in electrical degrees [alpha] = 360[degrees]p /Z = = 360[degrees] x 1/24 = 15[degrees].
i] width of the i-th rectangle of the stair-shaped magnetomotive force expressed in electrical degrees of the fundamental space harmonic; [upsilon]--number of harmonic.
The parameters of it are as follows: number of phases m = 3; number of slots Z = 9; number of poles 2p = 2; number of pole and phase slots q = 3/2; pole pitch [tau] = 4,5; winding span y = 4; slot span expressed in electrical degrees a = 40.
i]--width of the i-th rectangle of the stair-shaped magnetomotive force, expressed in electrical degrees of the fundamental space harmonic; [[gamma].

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