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WEEK 17: DESIGN NOTES: ROTOR: FIELD MAGNETS / WINDING


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


Updated: Saturday, October 06, 2000

<-- Back Items 40 - 47

Item 48a. Diameter of Rotor Core, DH
Formula: Use: DH = ½D + 0.25
Item 48b. Length of Rotor Bar, lb
Formula: Use: lb = la + 2lR = la + ks
Notes: Where: 2lR = ks accounts for the skewing the rotor bar one slot pitch and the distance between the ends of the rotor bar and the short-circuiting rings.
Item 48c. Resistance of Rotor Bar, Rb
Formula: Use: Rb = lb / ( CSbfinal × ¼p × 106) ohms.
Item 48d. Watts Lost in Rotor Bar, WB cu
Formula: Use: WB cu= SR Ir Rb
Notes: Where: SR = Number of Rotor Slots, see Item 40.

Item 49. Current in End Rings, Ie
Formula: Use: Ie = SR Ir / p p
Notes: Where: SR = Number of Rotor Slots, see Item 40.

Item 50. End Ring Current Density, De
Formula: Use: De = Ie / CSe = Ie / (m)e
Limits: Standard is approximately 2 DR = see Item 43.

Item 51. Dimensions of End Ring, CMe = CSe = (m)e
Formula: Use: (m)e in CM = CMe = Ie² × Retotal / WE cu Cir. Mils.
Formula: Use: (m)e in sq.in. = CSe = CMe × ¼p × 10-6 sq. in.

Item 52a. Resistance of Each End Ring, Re
Formula: Use: Re = WE cu / 2 Ie²
Item 52b. Mean Length per Turn of End Ring, (mlt)e
Formula: Use: (mlt)e = p ( lb - 3/4" )
Notes: Where 3/4" accounts for eccentricity.
Item 52c. Total Resistance of End Ring, Retotal
Formula: Use: Retotal = 2 (mlt)e p
Notes: Where 2 accounts for two end rings, i.e., at both ends.
Item 52d. Total Copper Loss at End Ring, WE cu
Formula: Use: WE cu = WR cu - WB cu
Notes: Where WR cu = Rotor Copper Loss
. WB cu = Watts lost at Rotor Bars.

Item 53. Total Watts Lost at Rotor, WR cu
Formula: Use: WR cu = strial ( 746 × HP ) / ( 1 - strial )
Notes: strial = s + 1%, where 1% account for full load conditions.
For the slip, s, refer to Art. 108, page 284. This is NOT the full load slip!
Round-off WR cu to the nearest 100 to account for sundry losses.

Item 54a. Full Load Slip, sFL
Formula: Use:

HP

Slip,
%

f&w,
%HP

10

4.0

2.5

30

3.6

1.8

100

3.2

1.2

200

3.0

1.0

250

2.9

0.9

sFL = WR cu / ( 746 HP + WR cu ).
Item 54b. Slip Revolutions at Full Load, NS
Formula: Use: NS = sFL × N

Item 55. Full Load Speed, NFL
Formula: Use: NFL = N - NS = N ( 1 - sFL )

Item 56. Calculated Efficiency, h
Formula: Use: h = 746 HP / ( 746 HP - SLtotal )
Notes: Compare this to Item No. 04.
Formula: Use: SLtotal = WA cu + WR cu + WA fe + WR fe + WFW
Where:
WA cu = Item No. 32
WR cu = Item No. 53
WA fe = Item No. 39
WR fe = 0.05 WA fe
WFW = % f&w (746 HP). Interpolate for other values of HP.

 Characteristics & Performance: Items 57 - 63


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