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IE243 ELECTRICAL MACHINES–I [Cr. Hrs = 3+1] [Marks: 100+50] By Asif Ahmed Memon
15
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Page 1: Lecture 2

IE243 ELECTRICAL MACHINES–I [Cr. Hrs = 3+1] [Marks: 100+50]

By

Asif Ahmed Memon

Page 2: Lecture 2

• The simplest possible rotating dc machine is shown in Figure. It consists of a single loop of wire rotating about a fixed axis. The rotating part of this machine is called the rotor, and the stationary part is called the stator.

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• The magnetic field for the machine is supplied by the magnetic north and south poles shown on the stator in Figure

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• Notice that the loop of rotor wire lies in a slot carved in a ferromagnetic core. the iron rotor, together with the curved shape of the pole faces, provides a constant-width air gap between the rotor and stator.

• The reluctance of air is much much higher than the reluctance of the iron in the machine.

• To minimize the reluctance of the flux path through the machine, the magnetic flux must take the shortest possible path through the air between the pole face and the rotor surface.

• Since the magnetic flux must take the shortest path through the air, it is perpendicular to the rotor surface everywhere under the pole faces.

• Also, since the air gap is of uniform width, the reluctance is the same everywhere under the pole faces.

• The uniform reluctance means that the magnetic flux density is constant everywhere under the pole faces.

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The Voltage Induced in a Rotating Loop

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The Voltage Induced in a Rotating Loop

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The Voltage Induced in a Rotating Loop

•To determine the total voltage eind on theloop, examine each segment of the loopseparately and sum all the resulting voltages.•The voltage on each segment is given byEquation

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The Voltage Induced in a Rotating LoopSegment ab In this segment, the velocity of the wire is tangential to the path of rotation. The magnetic field B points out perpendicular to the rotor surface everywhere under the pole face and is. zero beyond the edges of the pole face. Under the pole face, velocity v is perpendicular to B , and the quantity v x B points into the page. Therefore, the induced voltage on the segment is

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The Voltage Induced in a Rotating Loop

Segment bc. In this segment, the quantity v x B is either into or out of the page, while length l is in the plane of the page, so v x B is perpendicular to l. Therefore the voltage in segment be will be zero:

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The Voltage Induced in a Rotating Loop

Segment cd. In this segment, the velocity ofthe wire is tangential to the path of rotation.The magnetic field B points in perpendicularto the rotor surface everywhere under thepole face and is. zero beyond the edges ofthe pole face. Under the pole face, velocity vis perpendicular to B , and the quantity v x 8points out of the page. Therefore, theinduced voltage on the segment is

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The Voltage Induced in a Rotating Loop

Segment da. Just as in segment bc, v x B is perpendicular to I. Therefore the voltage in this segment will be zero too:

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The Voltage Induced in a Rotating Loop

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The Voltage Induced in a Rotating Loop

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The Voltage Induced in a Rotating Loop

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http://www.ece.umn.edu/users/riaz/animations/dcmachine.html

https://www.youtube.com/watch?v=d_aTC0iKO68&list=TLPC-jiNlNkGg

https://www.youtube.com/watch?v=Gzca2CbZ6EM