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WEEK 17: INDUCTION MOTOR (SQUIRREL CAGE) ARMATURE DESIGN NOTES


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


Updated: Saturday, October 06, 2000

<-- Back Items 24 - 28

Item 29a. Winding Length per Turn, mlt
Formula: Use: mlt = 2 la + 2.3 t + 6.

Item 29b. Turns in Series per Phase, T/f
Formula: Use: T/f = Z / a
Notes: Should be a whole number.

Item 29c. Length per Phase Winding, L/f
Formula: Use: L/f = mlt ( T/f) / 12 feet.

Item 30. Hot Resistance per Phase, R/f
Formula: Use: R/f = ( R/f / 1000 ) × ( R60°C / a )
Notes: Where: R60°C = resistance per 1000 ft. at 60°C. from the wire table, Table 1.

Item 31. Voltage Drop per Phase, IR/f
Formula: Use: IR/f = Ic × R/f.

Item 32. Total Stator Copper Loss, WA cu
Formula: Use: WA cu = 3 Ic² ( R/f)

Item 33. Flux Density At Core, B"gcore = B"c
Notes: Convert B"gmax in Item 06 into kilogauss then relate to equivalent B"t in kilogauss using Figure 49 on page 100.
Formula: Use: B"ctrial = B"tFig.49 × 1000 × 6.45 / 1.366
Formula: Use: B"cfinal = F / ( 2 Rdfinal × ln ).
Limits: Permissible flux density in core usually between 50,000 to 85,000 lines per sq. in for 60-hz machines.

Item 34a. Net Radial Depth of Armature Core below Slots, Rd
Formula: Use: Rdtrial = F / (2 B"ctrial × ln ).
Formula: Use: Rdfinal = ½ (Dofinal - D - 2d ).

Item 34b. Outside Diameter of Stator, Do
Formula: Use: Dotrial = D + 2d + 2 Rdtrial.
Formula: Use: Dofinal = round-off Dotrial to the nearest multiple of 1/8 inch.
Notes: Increase Rdtrial, i.e., add a multiple of 1/8 inch, if B"cfinal is out of range.

Item 35. Weight of Iron in Core (Without Teeth), Wtcore
Formula: Use: Wtcore =0.28 p × (Dofinal - Rdfinal ) ×ln × Rdfinal.

Item 36. Weight of Iron in Teeth, Wtteeth
Formula: Use: Wtteeth = 0.28 × tave × d × ln × SA.
Notes: . Where:
tave = average tooth width, item 23e.
d = stator slot depth, item 28.
SA = No. of Armature Slots, item 17.

Item 37. Losses in Core without Teeth, Wcore
Formula: Use: Wcore = Wtcore × f × ( watts/lb )
Notes: Where: watts/lb from Fig. 67, page 139 is based on B"gcore or B"c.

Item 38. Losses in Stator Teeth, Wteeth
Formula: Use: Wteeth = Wtteeth × f × ( watts/lb )
Notes: Where: watts/lb from Fig. 67, page 139 is based on B"t.

Item 38. Total (Iron) Core Loss, WA fe
Formula: Use: WA fe = Wcore + Wteeth.

 Rotor Design: Items 40 - 48


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