Technical Report
- 1. Technical Report General Design Data of a Three Phase Induction Machine 90kW – Squirrel Cage Rotor Tasos Lazaridis Electrical Engineer – CAD/CAE Engineer tasoslazaridis13@gmail.com
- 2. Three-Phase Induction Machine Design GENERAL DATA Given Output Power (kW): 90 Rated Voltage (V): 380 Winding Connection: Wye Number of Poles: 4 Given Speed (rpm): 1463 Frequency (Hz): 50 Stray Loss (W): 1620 Frictional Loss (W): 1000 Windage Loss (W): 2500 Operation Mode: Motor Type of Load: Constant Power Operating Temperature (C): 75 STATOR DATA Number of Stator Slots: 48 Outer Diameter of Stator (mm): 349 Inner Diameter of Stator (mm): 235 Type of Stator Slot: 1 Stator Slot hs0 (mm): 0.5 hs2 (mm): 21 bs0 (mm): 3 bs1 (mm): 9.3 bs2 (mm): 11.4 Top Tooth Width (mm): 6.72953 Bottom Tooth Width (mm): 7.38096 Length of Stator Core (mm): 300 Stacking Factor of Stator Core: 0.95 Type of Steel: D23_50 Number of lamination sectors 0 Press board thickness (mm): 2 Magnetic press board Yes Number of Parallel Branches: 1 Type of Coils: 21 Coil Pitch: 4 Number of Conductors per Slot: 8 Number of Wires per Conductor: 1 Wire Diameter (mm): 4.62 Wire Wrap Thickness (mm): 0 Wedge Thickness (mm): 0 Slot Liner Thickness (mm): 0.3 Layer Insulation (mm): 0.3 Slot Area (mm^2): 303.35 Net Slot Area (mm^2): 251.069
- 3. Slot Fill Factor (%): 68.0113 Limited Slot Fill Factor (%): 75 Wire Resistivity (ohm.mm^2/m): 0.0217 Conductor Length Adjustment (mm): 0 End Length Correction Factor 1 End Leakage Reactance Correction Factor 1 ROTOR DATA Number of Rotor Slots: 38 Air Gap (mm): 0.7 Inner Diameter of Rotor (mm): 70 Type of Rotor Slot: 1 Rotor Slot hs0 (mm): 0.5 hs2 (mm): 22.5 bs0 (mm): 1.5 bs1 (mm): 7 bs2 (mm): 7 Cast Rotor: Yes Half Slot: Yes Length of Rotor (mm): 300 Stacking Factor of Rotor Core: 0.95 Type of Steel: D23_50 Skew Width: 0 End Length of Bar (mm): 0 Height of End Ring (mm): 32 Width of End Ring (mm): 23 Resistivity of Rotor Bar at 75 Centigrade (ohm.mm^2/m): 0.0263158 Resistivity of Rotor Ring at 75 Centigrade (ohm.mm^2/m): 0.0263158 Magnetic Shaft: Yes MATERIAL CONSUMPTION Armature Copper Density (kg/m^3): 8900 Rotor Bar Material Density (kg/m^3): 2689 Rotor Ring Material Density (kg/m^3): 2689 Armature Core Steel Density (kg/m^3): 7820 Rotor Core Steel Density (kg/m^3): 7820 Armature Copper Weight (kg): 23.3299 Rotor Bar Material Weight (kg): 3.01416 Rotor Ring Material Weight (kg): 2.49448 Armature Core Steel Weight (kg): 85.2642 Rotor Core Steel Weight (kg): 78.6141 Total Net Weight (kg): 192.717 Armature Core Steel Consumption (kg): 181.997 Rotor Core Steel Consumption (kg): 96.6668
- 4. RATED-LOAD OPERATION Stator Resistance (ohm): 0.0674703 Stator Resistance at 20C (ohm): 0.0554998 Stator Leakage Reactance (ohm): 0.126467 Rotor Resistance (ohm): 0.0270918 Rotor Leakage Reactance (ohm): 0.282897 Resistance Corresponding to Iron-Core Loss (ohm): 86.3582 Magnetizing Reactance (ohm): 3.12506 Stator Phase Current (A): 196.241 Current Corresponding to Iron-Core Loss (A): 2.253 Magnetizing Current (A): 62.2595 Rotor Phase Current (A): 169.394 Copper Loss of Stator Winding (W): 7794.93 Copper Loss of Rotor Winding (W): 2332.14 Iron-Core Loss (W): 1315.06 Frictional and Windage Loss (W): 3502.88 Stray Loss (W): 1620 Total Loss (W): 16565 Input Power (kW): 106.558 Output Power (kW): 89.9932 Mechanical Shaft Torque (N.m): 587.205 Efficiency (%): 84.4545 Power Factor: 0.812457 Rated Slip: 0.0243366 Rated Shaft Speed (rpm): 1463.5 NO-LOAD OPERATION No-Load Stator Resistance (ohm): 0.0674703 No-Load Stator Leakage Reactance (ohm): 0.126973 No-Load Rotor Resistance (ohm): 0.0270573 No-Load Rotor Leakage Reactance (ohm): 0.288555 No-Load Stator Phase Current (A): 67.8374 No-Load Iron-Core Loss (W): 1535.74 No-Load Input Power (W): 7785.61 No-Load Power Factor: 0.13809 No-Load Slip: 0.000754578 No-Load Shaft Speed (rpm): 1498.87 BREAK-DOWN OPERATION Break-Down Slip: 0.08 Break-Down Torque (N.m): 941.169 Break-Down Torque Ratio: 1.60279 Break-Down Phase Current (A): 418.008 LOCKED-ROTOR OPERATION Locked-Rotor Torque (N.m): 474.54
- 5. Locked-Rotor Phase Current (A): 679.546 Locked-Rotor Torque Ratio: 0.808134 Locked-Rotor Current Ratio: 3.46282 Locked-Rotor Stator Resistance (ohm): 0.0674703 Locked-Rotor Stator Leakage Reactance (ohm): 0.115617 Locked-Rotor Rotor Resistance (ohm): 0.0616147 Locked-Rotor Rotor Leakage Reactance (ohm): 0.193633 DETAILED DATA AT RATED OPERATION Stator Slot Leakage Reactance (ohm): 0.0881042 Stator End-Winding Leakage Reactance (ohm): 0.0201604 Stator Differential Leakage Reactance (ohm): 0.018202 Rotor Slot Leakage Reactance (ohm): 0.152883 Rotor End-Winding Leakage Reactance (ohm): 0.00686664 Rotor Differential Leakage Reactance (ohm): 0.123145 Skewing Leakage Reactance (ohm): 0 Stator Winding Factor: 0.478831 Stator-Teeth Flux Density (Tesla): 1.70722 Rotor-Teeth Flux Density (Tesla): 1.16603 Stator-Yoke Flux Density (Tesla): 1.87124 Rotor-Yoke Flux Density (Tesla): 0.588304 Air-Gap Flux Density (Tesla): 0.753862 Stator-Teeth Ampere Turns (A.T): 190.167 Rotor-Teeth Ampere Turns (A.T): 16.1044 Stator-Yoke Ampere Turns (A.T): 521.959 Rotor-Yoke Ampere Turns (A.T): 4.31289 Air-Gap Ampere Turns (A.T): 478.047 Correction Factor for Magnetic Circuit Length of Stator Yoke: 0.246496 Correction Factor for Magnetic Circuit Length of Rotor Yoke: 0.7 Saturation Factor for Teeth: 1.43149 Saturation Factor for Teeth & Yoke: 2.53236 Induced-Voltage Factor: 0.886832 Stator Current Density (A/mm^2): 11.7062 Specific Electric Loading (A/mm): 102.071 Stator Thermal Load (A^2/mm^3): 1194.86 Rotor Bar Current Density (A/mm^2): 8.33598 Rotor Ring Current Density (A/mm^2): 3.38302 Half-Turn Length of Stator Winding (mm): 407.209
- 6. WINDING ARRANGEMENT The 3-phase, 2-layer winding can be arranged in 12 slots as: AAAAZZZZBBBB Angle per slot (elec. degrees): 15 Phase-A axis (elec. degrees): 52.5 First slot center (elec. degrees): 0 TRANSIENT FEA INPUT DATA For one phase of the Stator Winding: Number of Turns: 64 Parallel Branches: 1 Terminal Resistance (ohm): 0.0674703 End Leakage Inductance (H): 6.04158e-005 For Rotor End Ring Between Two Bars of One Side: Equivalent Ring Resistance (ohm): 5.92974e-007 Equivalent Ring Inductance (H): 3.99331e-009 2D Equivalent Value: Equivalent Model Depth (mm): 300 Equivalent Stator Stacking Factor: 0.963333 Estimated Rotor Inertial Moment (kg m^2): 0.68408
- 7. Διάγραμμα 1. Χαρακτηριςτική καμπφλη φαςικοφ ρεφματοσ – ταχφτητασ. Διάγραμμα 2.Χαρακτηριςτική καμπφλη απόδοςησ – ταχήτητασ. Διάγραμμα 3. Χαρακτηριςτική καμπφλη ςυντελεςτή ιςχφοσ – ταχφτητασ.
- 8. Διάγραμμα 4. Χαρακτηριςτική καμπφλη ιςχφοσ – ταχφτητασ. Διάγραμμα 5. Χαρακτηριςτική καμπφλη ροπήσ – ταχφτητασ. Διάγραμμα 6. Χαρακτηριςτική καμπφλη φαςικοφ ρεφματοσ – ιςχφοσ εξόδου.
- 9. Διάγραμμα 7. Χαρακτηριςτική καμπφλη απόδοςησ - ιςχφοσ εξόδου. Διάγραμμα 8. Χαρακτηριςτική καμπφλη ςυντελεςτή ιςχφοσ - ιςχφοσ εξόδου. Διάγραμμα 9. Χαρακτηριςτική καμπφλη ολίςθηςησ - ιςχφοσ εξόδου.
- 10. Διάγραμμα 10.Χαρακτηριςτική καμπφλη ροπήσ - ιςχφοσ εξόδου. Διάγραμμα 11.Χαρακτηριςτική καμπφλη ροπήσ - ολίςθηςησ
- 11. Διάγραμμα 12. Το ςτιγμιότυπο ςτο οποίο λαμβάνονται οι μετρήςεισ τησ Ηλεκτρομαγνητικήσ προςομοίωςησ. Διάγραμμα 13. Διάγραμμα του διανυςματικοφ δυναμικοφ ςτον κινητήρα.
- 12. Διάγραμμα 14.Διάγραμμα των δυναμικών γραμμών του διανυςματικοφ δυναμικοφ ςτον κινητήρα. Διάγραμμα 15.Διάγραμμα του μαγνητικοφ πεδίου ςτον κινητήρα.
- 13. Διάγραμμα 16. Διάγραμμα του μζτρου του μαγνητικοφ πεδίου ςτον κινητήρα. Διάγραμμα 17.Διαγράμματα ρευμάτων εκκίνηςησ – χρόνου.
- 14. Διάγραμμα 18.Διάγραμμα ροπήσ εκκίνηςησ – χρόνου. Διάγραμμα 19. Διάγραμμα επαγώμενων τάςεων – χρόνου.
- 15. Διάγραμμα 20. Διάγραμμα ροών διαροήσ – χρόνου. Διάγραμμα 21. Διαγράμματα ηλεκτρικήσ και μηχανικήσ ιςχφοσ – χρόνου.