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WEEK 12: SYNCHRONOUS GENERATOR: ARMATURE DESIGN NOTES


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


Updated: Thursday, August 31, 2000

<-- Back Items 01 - 10

Item 11. Internal Diameter of Stator, D
Limits: This is limited by the Diameter of the Rotor, item 03, plus the initial calculated air gap, item 10.
Notes: Trial D = Dr + 2", which assumes that the d is equal to not less than 1 inch.. This value should at least be a multiple of 1/8".

Item 12. Pole Pitch, t
Formula: t = p × D / p.
Limits: For 60-hz machines running at moderate speeds, this value lies between 6 to 12 inches. A pitch of 8 to 10 inches, or more being very common for alternators rated above 1,000 kVA.

Item 13. Pole arc, tr
Notes: Assume, Distributed winding.

Item 14. Percentage of armature covered by poles
Notes: Assume, Distributed winding.

Item 15. Number of inductors per phase, Z
Formula: Ztrial = (1/3)(pDq/Ic).
Formula: Zfinal = ns x Cs x p.
Notes: For the trial value of Z, use the initial value of q. When the value of q, item 07 have been finalized, the number of inductors per phase, Z should be changed accordingly. Also, take into consideration that the final Z, a whole number, should be at least nearer to the computed trial, else the trial current density will not fall within the limits.

Item 16. Total number of inductors, Z'
Formula: Z' = Z × n.
Notes: Where n = 3, for three-phase, n = 2, for two-phase, and n = 1, for single-phase. At with Z, the Z' should be a whole number.

Item 17. No. of armature slots per pole per phase, ns
Formula: ns is selected arbitrarily.
Limits: Possible numbers: 1, 2, 3, 4, 5, 6
Notes: For ns greater than 6, compute manually for the slots per pole: S/p, the angle of spread: b°, the coil span angle: g°, the distribution factor: k, and the pitch factor: k'.

Electrical degrees between adjacent slots, b°
Formula: b° = 180 / S/p.
Limits: For the relationship of Slots per pole, number of armature slots per pole per phase, ns see table for three-phase below:

Slot per
pole

ns

b°

k

3

1

60

1.000

6

2

30

0.966

9

3

20

0.960

12

4

15

0.958

15

5

12

0.956

18

6

10

0.955

Distribution Factor, k
Formula: Use: k = sin (nsb/2) / ns sin (b/2)

Coil Span, g°
Formula: Use: g° = 180° - b°

Pitch Factor, k'
Formula: Use: k' = sin (g/Z) or
k' = sin [(p/2) x (coil pitch/pole pitch)] or
k' = sin [(p/2) x (S/p - 1)/S/p], using radians.
Notes: Where Z = 2 for the number of adjacent inductors between 180 electrical degrees.

S/p

Coil span, g °

180°

168°

165°

160°

156°

150°

144°

140°

135°

132°

120°

3

1.000

-

-

-

-

-

-

-

-

-

0.866

6

1.000

-

-

-

-

0.966

-

-

-

-

0.866

9

1.000

-

-

0.985

-

-

-

0.940

-

-

0.866

12

1.000

-

0.991

-

-

0.966

-

-

0.924

-

0.866

15

1.000

0.995

-

-

0.978

-

0.951

-

-

0.914

0.866

Winding Factor, d
Formula: Use: d = k' x k

 Items 18 - 26


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