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WEEK 02: DESIGN NOTES: ARMATURE / COMMUTATOR


Legend: Formula:: Formula | Limits: : Limits, Range | Notes: : Assumption


Sections: Armature | Commutator | Questions

Armature Winding and Core

Item 1. Number of poles, p
Formula: When frequency and speed is given, use 120f ¸ N
Limits: Number of poles is usually limited to the speed of the dynamo. This is usually a multiple of 2. See guide in selecting a suitable number of poles for a preliminary design.
Notes: When frequency is not given, it is safe to use 60 Hz, to solve for the number of poles.

Frequency, f
Formula: When number of poles are assumed, use (p/2) X (N/60)
Limits: Between 30 and 60 cycles per second in ac generators.
Notes: Assume 60 Hz, the permissible limit, when not given.

Item 2. Ratio of pole arc to pole pitch, r
Formula: Usually given.
Limits: For all rotating machines: 0.6 to 0.8, With interpoles: 0.6 to 0.64.
Notes: common value 0.7.

Item 3. Specific Loading, q
Formula: When, the number of conductors, Z, are known, use: ZIc ¸ pD.
Subject for correction when, number of conductors, Z, is finalized.
Limits: For noninterpole machines: 350 to 650,
for those with commutating poles: 400 to 1,300.
Notes: When Output is known, use the table of approximate values of specific loading for interpole dynamos.

Item 4. App. air gap flux density (open circuit), B"g
Formula: When armature length is a final value, use: F ¸ la x t x r
Limits: Dependent on the Output, KW, usually from 37,000 up to 67,500.
Notes: When Output is known, use the table of Approximate Values of Apparent Air-Gap Density.

Item 5. Line current (full load), I
Formula: Use the high-end voltage of the given range, this I = KW ¸ V.
Limits: Current per path not to exceed 250 to 300 Amps.

Item 6. Type of winding
Formula: Number of parallel paths: lap winding: p x plex, wave winding: 2 x plex.
Limits: Lap winding: not to exceed 250 to 300 amps per path.

Exciting current % of rated current, Isc
Formula: Given the Output, KW, use one-step below value from the table for shunt field currents expressed as percentages of the full-load rated currents of machine.
Limits: From 0.3 to 3.0, depending on the output of the amchine.

Item 7. Armature current per circuit, Ic
Formula: Dependent on the Exciting current, use: (I/p) x (1 + % @item6).

Item 8. Output factor, r
Formula: Use laD² = (W/N)(6.06 x 108)/(B"gqr).
Notes: la, B"g, q and r are usually assumed, thus subject for correction.

Item 9. Armature diameter, in, D
Formula: From the Output factor, or for a square pole face for interpole machines, D = pla/2 or when peripheral velocity is determined: D = 12v / N
Limits: Reducing the diameter, D, will increase the specific loading, q.
Notes: When the ratio of pole arc and armature length, k and the number of poles, p are known, use: D = lapk / p r

Item 10. Peripheral velocity, fpm, v
Formula: When diameter and speed are given, use (p DN) /12
Limits: Between 3,000 and 10,000 fpm.
Notes: Assumed when speed of rotation N is not specified.

Armature Ampere-conductor per pole, ZIc/p
Formula: Use p Dq/p.
Limits: Refer to the table for approximate values of Ampere-conductors per pole. Maximum is 25,000.

 Items 11 - 18


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