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8/22/2019 Resoult IMM

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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


Rotor Slot Leakage Reactance (ohm): 1.86496

Rotor End-Winding Leakage


Rotor Differential Leakage


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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