The number of parallel paths of a P pole n-plex wave winding is:

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  1. nP
  2. P
  3. 2
  4. 2n

Answer (Detailed Solution Below)

Option 4 : 2n
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Explanation:

The Number of Parallel Paths in a P Pole N-Plex Wave Winding

Definition: Wave winding is a type of winding used in electrical machines, particularly in armatures of DC machines. It is named "wave winding" because the winding progresses in a wave-like fashion across the surface of the armature. The number of parallel paths in such windings is a critical parameter that determines the current-carrying capacity and efficiency of the machine.

Key Formula for Wave Winding:

The number of parallel paths (A) in a wave winding is given by the formula:

A = 2

This means that, irrespective of the number of poles (P) or the plexity (n), the wave winding always results in only two parallel paths. This is a key characteristic of wave winding.

Explanation of the Correct Option:

The correct answer is:

Option 4: 2

This option is correct because, in wave winding, the number of parallel paths remains constant at 2, regardless of the machine's number of poles (P) or the plexity (n). This is because the winding is designed in such a way that it connects all the coils in series to form two parallel paths. These two paths carry the entire armature current, thereby ensuring efficient current distribution in the machine.

Additional Information

To further understand the analysis, let’s evaluate the other options:

Option 1: nP

This option suggests that the number of parallel paths is equal to the product of the plexity (n) and the number of poles (P). This is incorrect for wave winding. While this formula might apply to lap windings, where the number of parallel paths equals the number of poles multiplied by the plexity, it does not apply to wave winding. In wave winding, the number of parallel paths is always 2, irrespective of the values of n and P.

Option 2: P

This option implies that the number of parallel paths is equal to the number of poles (P). This is also incorrect for wave winding. While this might hold true for simplex lap windings, where the number of parallel paths equals the number of poles, wave winding always has only 2 parallel paths, regardless of the number of poles.

Option 3: 2

This option is the correct answer, as explained above. It accurately represents the number of parallel paths in wave winding, which is always 2.

Option 4: 2n

This option suggests that the number of parallel paths is twice the plexity (2n). While this might apply to lap windings with multiple plexities, it is not correct for wave winding. In wave winding, the number of parallel paths remains constant at 2, regardless of the plexity.

Conclusion:

Wave winding is characterized by its simplicity and efficiency, with the number of parallel paths fixed at 2. This feature makes it suitable for applications requiring higher voltage and lower current. By understanding the fundamental principle that wave windings always have two parallel paths, it becomes easier to distinguish them from other types of windings, such as lap windings, where the number of parallel paths depends on the number of poles and plexity.

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