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Three-Phase Induction Machine Design
File: Setup1.res
GENERAL DATA
Given Output Power (kW): 5.5
Rated Voltage (V): 380
Winding Connection: Wye
Number of Poles: 2
Given Speed (rpm): 2880
Frequency (Hz): 50
Stray Loss (W): 55
Frictional Loss (W): 0
Windage Loss (W): 0
Operation Mode: Motor
Type of Load: Constant Power
Operating Temperature (C): 75
STATOR DATA
Number of Stator Slots: 24
Outer Diameter of Stator (mm): 169
Inner Diameter of Stator (mm): 88.9
Type of Stator Slot: 1
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Stator Slot
hs0 (mm): 0.8
hs2 (mm): 8.98
bs0 (mm): 3.5
bs1 (mm): 7.7
bs2 (mm): 9.9
Top Tooth Width (mm): 5.06472
Bottom Tooth Width (mm): 5.22779
Length of Stator Core (mm): 132
Stacking Factor of Stator Core: 0.95
Type of Steel: steel_2012-2
Number of lamination sectors 1
Press board thickness (mm): 1
Magnetic press board Yes
Number of Parallel Branches: 1
Type of Coils: 10
Coil Pitch: 0
Number of Conductors per Slot: 30
Number of Wires per Conductor: 2
Wire Diameter (mm): 1.085
Wire Wrap Thickness (mm): 1.2
Wedge Thickness (mm): 0
Slot Liner Thickness (mm): 0
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Layer Insulation (mm): 0
Slot Area (mm^2): 142.603
Net Slot Area (mm^2): 127.533
Slot Fill Factor (%): 245.641
Limited Slot Fill Factor (%): 75
**** Warning - Result is Unfeasable ****
Slot Fill Factor is beyond its limited value.
Wire Resistivity (ohm.mm^2/m): 0.0217
Top Free Space in Slot (%): 0
Bottom Free Space in Slot (%): 0
Conductor Length Adjustment (mm): 0
End Length Correction Factor 1
End Leakage Reactance Correction Factor 1
ROTOR DATA
Number of Rotor Slots: 22
Air Gap (mm): 0.4
Inner Diameter of Rotor (mm): 36.39
Type of Rotor Slot: 1
Rotor Slot
hs0 (mm): 0.95
hs01 (mm): 0.95
hs2 (mm): 12.85
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bs0 (mm): 0
bs1 (mm): 6.5
bs2 (mm): 2.5
Cast Rotor: No
Half Slot: No
Length of Rotor (mm): 132
Stacking Factor of Rotor Core: 0.95
Type of Steel: steel_2012-2
Skew Width: 0
End Length of Bar (mm): 15
Height of End Ring (mm): 10
Width of End Ring (mm): 17.2
Resistivity of Rotor Bar
at 75 Centigrade (ohm.mm^2/m): 0.030303
Resistivity of Rotor Ring
at 75 Centigrade (ohm.mm^2/m): 0.030303
Magnetic Shaft: Yes
MATERIAL CONSUMPTION
Armature Copper Density (kg/m^3): 8900
Rotor Bar Material Density (kg/m^3): 8900
Rotor Ring Material Density (kg/m^3): 8900
Armature Core Steel Density (kg/m^3): 7850
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Rotor Core Steel Density (kg/m^3): 7850
Armature Copper Weight (kg): 3.74885
Rotor Bar Material Weight (kg): 2.43831
Rotor Ring Material Weight (kg): 0.732914
Armature Core Steel Weight (kg): 12.8033
Rotor Core Steel Weight (kg): 3.31222
Total Net Weight (kg): 23.0356
Armature Core Steel Consumption (kg): 23.3789
Rotor Core Steel Consumption (kg): 6.11027
RATED-LOAD OPERATION
Stator Resistance (ohm): 0.891021
Stator Resistance at 20C (ohm): 0.732937
Stator Leakage Reactance (ohm): 2.05078
Rotor Resistance (ohm): 0.800996
Rotor Resistance at 20C (ohm): 0.658883
Rotor Leakage Reactance (ohm): 2.55191
Resistance Corresponding to
Iron-Core Loss (ohm): 4.41247e+007
Magnetizing Reactance (ohm): 72.1142
Stator Phase Current (A): 10.2074
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Current Corresponding to
Iron-Core Loss (A): 4.58592e-006
Magnetizing Current (A): 2.806
Rotor Phase Current (A): 9.48429
Copper Loss of Stator Winding (W): 278.511
Copper Loss of Rotor Winding (W): 216.153
Iron-Core Loss (W): 0.00278392
Frictional and Windage Loss (W): 0
Stray Loss (W): 55
Total Loss (W): 549.667
Input Power (kW): 6.04969
Output Power (kW): 5.50003
Mechanical Shaft Torque (N.m): 18.1952
Efficiency (%): 90.9141
Power Factor: 0.89229
Rated Slip: 0.0378143
Rated Shaft Speed (rpm): 2886.56
NO-LOAD OPERATION
No-Load Stator Resistance (ohm): 0.891021
No-Load Stator Leakage Reactance (ohm): 2.05609
No-Load Rotor Resistance (ohm): 0.800951
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No-Load Rotor Leakage Reactance (ohm): 12.9768
No-Load Stator Phase Current (A): 2.95773
No-Load Iron-Core Loss (W): 0.00309311
No-Load Input Power (W): 79.9606
No-Load Power Factor: 0.0128219
No-Load Slip: 9.232e-006
No-Load Shaft Speed (rpm): 2999.97
BREAK-DOWN OPERATION
Break-Down Slip: 0.31
Break-Down Torque (N.m): 58.3274
Break-Down Torque Ratio: 3.20565
Break-Down Phase Current (A): 49.2037
LOCKED-ROTOR OPERATION
Locked-Rotor Torque (N.m): 38.6244
Locked-Rotor Phase Current (A):70.552
Locked-Rotor Torque Ratio: 2.12279
Locked-Rotor Current Ratio: 6.91182
Locked-Rotor Stator Resistance (ohm): 0.891021
Locked-Rotor Stator
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Leakage Reactance (ohm): 1.76209
Locked-Rotor Rotor Resistance (ohm): 0.831734
Locked-Rotor Rotor
Leakage Reactance (ohm): 0.839798
DETAILED DATA AT RATED OPERATION
Stator Slot Leakage Reactance (ohm): 0.898452
Stator End-Winding Leakage
Reactance (ohm): 0.807038
Stator Differential Leakage
Reactance (ohm): 0.345295
Rotor Slot Leakage Reactance (ohm): 1.86496
Rotor End-Winding Leakage
Reactance (ohm): 0.155291
Rotor Differential Leakage
Reactance (ohm): 0.531658
Skewing Leakage Reactance (ohm): 0
Stator Winding Factor: 0.957662
Stator-Teeth Flux Density (Tesla): 1.49879
Rotor-Teeth Flux Density (Tesla): 1.68995
Stator-Yoke Flux Density (Tesla):1.35419
Rotor-Yoke Flux Density (Tesla): 1.23772
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Air-Gap Flux Density (Tesla): 0.639665
Stator-Teeth Ampere Turns (A.T): 14.0268
Rotor-Teeth Ampere Turns (A.T): 68.1707
Stator-Yoke Ampere Turns (A.T): 60.3584
Rotor-Yoke Ampere Turns (A.T): 5.98262
Air-Gap Ampere Turns (A.T): 269.355
Correction Factor for Magnetic
Circuit Length of Stator Yoke: 0.585218
Correction Factor for Magnetic
Circuit Length of Rotor Yoke: 0.352794
Saturation Factor for Teeth: 1.30516
Saturation Factor for Teeth & Yoke: 1.55146
Induced-Voltage Factor: 0.922328
Stator Current Density (A/mm^2): 5.51998
Specific Electric Loading (A/mm): 26.3147
Stator Thermal Load (A^2/mm^3): 145.256
Rotor Bar Current Density (A/mm^2): 3.86692
Rotor Ring Current Density (A/mm^2): 6.07182
Half-Turn Length of
Stator Winding (mm): 316.371
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WINDING ARRANGEMENT
Angle per slot (elec. degrees): 15
Phase-A axis (elec. degrees): 112.5
First slot center (elec. degrees): 0
TRANSIENT FEA INPUT DATA
For one phase of the Stator Winding:
Number of Turns: 120
Parallel Branches: 1
Terminal Resistance (ohm): 0.891021
End Leakage Inductance (H): 0.00252538
For Rotor End Ring Between Two Bars of One Side:
Equivalent Ring Resistance (ohm): 2.39612e-006
Equivalent Ring Inductance (H): 2.77959e-009
2D Equivalent Value:
Equivalent Model Depth (mm): 132
Equivalent Stator Stacking Factor: 0.965152
Equivalent Rotor Stacking Factor: 0.95
Estimated Rotor Inertial Moment (kg m^2): 0.00608937
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