Project 2

RMxprt

ADJUSTABLE-SPEED PERMANENT MAGNET SYNCHRONOUS MOTOR DESIGN

File: Setup1.res

GENERAL DATA

Rated Output Power (kW): 10
Rated Voltage (V): 220
Number of Poles: 4
Frequency (Hz): 50
Frictional Loss (W): 12
Windage Loss (W): 0
Rotor Position: Inner
Type of Circuit: Y3
Type of Source: DC
Trigger Pulse Width in Elec. Degrees: 120
One-Transistor Voltage Drop (V): 2
One-Diode Voltage Drop (V): 2
Operating Temperature (C): 75

STATOR DATA

Number of Stator Slots: 24
Outer Diameter of Stator (mm): 120
Inner Diameter of Stator (mm): 75

Type of Stator Slot: 2
Stator Slot
hs0 (mm): 0.5
hs1 (mm): 1
hs2 (mm): 8.2
bs0 (mm): 2.5
bs1 (mm): 5.6
bs2 (mm): 7.6
Top Tooth Width (mm): 4.62351
Bottom Tooth Width (mm): 4.78125
Skew Width (Number of Slots): 0

Length of Stator Core (mm): 65
Stacking Factor of Stator Core: 0.95
Type of Steel: M19_24G
Designed Wedge Thickness (mm): 0.999999
Slot Insulation Thickness (mm): 0.3
Layer Insulation Thickness (mm): 0.3
End Length Adjustment (mm): 0
Number of Parallel Branches: 1
Number of Conductors per Slot: 52
Number of Layers: 2
Winding Type: Whole Coiled
Average Coil Pitch: 5
Number of Wires per Conductor: 1
Wire Diameter (mm): 0.9116
Wire Wrap Thickness (mm): 0
Slot Area (mm^2): 82.1023
Net Slot Area (mm^2): 63.1044
Limited Slot Fill Factor (%): 75
Stator Slot Fill Factor (%): 68.4782
Coil Half-Turn Length (mm): 136.848
Wire Resistivity (ohm.mm^2/m): 0.0217

ROTOR DATA

Minimum Air Gap (mm): 0.5
Inner Diameter (mm): 26
Length of Rotor (mm): 65
Stacking Factor of Iron Core: 0.95
Type of Steel: M19_24G
Polar Arc Radius (mm): 37
Mechanical Pole Embrace: 0.7
Electrical Pole Embrace: 0.699985
Max. Thickness of Magnet (mm): 3.5
Width of Magnet (mm): 38.7594
Type of Magnet: XG196/96
Type of Rotor: 1
Magnetic Shaft: No

PERMANENT MAGNET DATA

Residual Flux Density (Tesla): 0.96
Coercive Force (kA/m): 690
Maximum Energy Density (kJ/m^3): 183
Relative Recoil Permeability: 1
Demagnetized Flux Density (Tesla): 0.166361
Recoil Residual Flux Density (Tesla): 0.913527
Recoil Coercive Force (kA/m): 726.983

MATERIAL CONSUMPTION

Armature Wire Density (kg/m^3): 8900
Permanent Magnet Density (kg/m^3): 7800
Armature Core Steel Density (kg/m^3): 7650
Rotor Core Steel Density (kg/m^3): 7650

Armature Copper Weight (kg): 0.992071
Permanent Magnet Weight (kg): 0.275114
Armature Core Steel Weight (kg): 2.32481
Rotor Core Steel Weight (kg): 1.41467
Total Net Weight (kg): 5.00667

Armature Core Steel Consumption (kg): 5.32879
Rotor Core Steel Consumption (kg): 1.81796

STEADY STATE PARAMETERS

Stator Winding Factor: 0.933013
D-Axis Reactive Inductance Lad (H): 0.0121607
Q-Axis Reactive Inductance Laq (H): 0.0121607
D-Axis Inductance L1+Lad (H): 0.0151128
Q-Axis Inductance L1+Laq (H): 0.0151128
Armature Leakage Inductance L1 (H): 0.0029521
Slot Leakage Inductance Ls1 (H): 0.00217964
End Leakage Inductance Le1 (H): 0.000644985
Harmonic Leakage Inductance Ld1 (H): 0.000127477
Zero-Sequence Inductance L0 (H): 0.00211728
Armature Phase Resistance R1 (ohm): 1.89275
Armature Phase Resistance at 20C (ohm): 1.55694

NO-LOAD MAGNETIC DATA

Stator-Teeth Flux Density (Tesla): 1.6594
Stator-Yoke Flux Density (Tesla): 1.49617
Rotor-Yoke Flux Density (Tesla): 0.749301
Air-Gap Flux Density (Tesla): 0.697097
Magnet Flux Density (Tesla): 0.753002

Stator-Teeth By-Pass Factor: 0.00811345
Stator-Yoke By-Pass Factor: 0.000133828
Rotor-Yoke By-Pass Factor: 9.08416e-06

Stator-Teeth Ampere Turns (A.T): 73.2699
Stator-Yoke Ampere Turns (A.T): 39.9409
Rotor-Yoke Ampere Turns (A.T): 1.31597
Air-Gap Ampere Turns (A.T): 332.689
Magnet Ampere Turns (A.T): -447.11

Leakage-Flux Factor: 1
Correction Factor for Magnetic
Circuit Length of Stator Yoke: 0.342658
Correction Factor for Magnetic
Circuit Length of Rotor Yoke: 0.70096

No-Load DC Current (A): 0.405359
No-Load Input Power (W): 89.1789
Cogging Torque (N.m): 0.719138

FULL-LOAD DATA

Note:
This motor cannot offer the given rated output power.
The following results are of the maximum output.

Maximum Line Induced Voltage (V): 219.631
Input DC Current (A): 15.7522
Root-Mean-Square Phase Current (A): 15.8068
Armature Thermal Load (A^2/mm^3): 2027.65
Specific Electric Loading (A/mm): 83.7236
Armature Current Density (A/mm^2): 24.2184
Frictional and Windage Loss (W): 12
Iron-Core Loss (W): 8.25081
Armature Copper Loss (W): 1418.75
Transistor Loss (W): 71.7923
Diode Loss (W): 8.21091
Total Loss (W): 1519
Output Power (W): 1946.49
Input Power (W): 3465.49
Efficiency (%): 56.1678

Synchronous Speed (rpm): 1500
Rated Torque (N.m): 12.3917
Torque Angle (degree): 60

Maximum Output Power (W): 1946.49
Torque Constant KT (Nm/A): 0.791515

WINDING ARRANGEMENT

The 3-phase, 2-layer winding can be arranged in 6 slots as below:

AAZZBB

Angle per slot (elec. degrees): 30
Phase-A axis (elec. degrees): 90
First slot center (elec. degrees): 0

TRANSIENT FEA INPUT DATA

For Armature Winding:
Number of Turns: 208
Parallel Branches: 1
Terminal Resistance (ohm): 1.89275
End Leakage Inductance (H): 0.000644985
2D Equivalent Value:
Equivalent Model Depth (mm): 65
Equivalent Stator Stacking Factor: 0.95
Equivalent Rotor Stacking Factor: 0.95
Equivalent Br (Tesla): 0.913527
Equivalent Hc (kA/m): 726.983

MAXWELL 2D