Motor Calculators
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Analysis
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ConstantsValueUnitsAssumptions
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pi3.14E+00-100% of non-estimated copper mass is considered iron
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Permeability (µ0)1.26E-06H/mThe system is adiabatic
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Flux Density @ Stall1.80E+00TBMagnetic Steel Saturation is between 1.6T and 2.2T
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Copper Resistivity (ρ)1.70E-08Ohm-m
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N-m to oz-in Conversion1.42E+02Oz-in/N-m
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Specific Heat of Copper3.85E-01J/g
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Specific Heat of Iron4.50E-01J/g
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Density of Copper8.96E+06g/m^3
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Min to Sec Conversion6.00E+01s/min
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VariablesValueUnitsRationale
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Current (Thermal Calcs)2.70E+01A
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Starting Temperature2.70E+01C
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Run Time6.00Min
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Measured Motor ParametersValueUnits
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Number of Turns per Coil8turns
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Windings per Tooth16turns
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Number of Poles2poles
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Wire Diameter7.24E-04m
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Coils in Series5coils
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Coils in Parallel4coils
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Number of Slots4slots
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Coil Width3.70E-02m
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Coil Length5.80E-02mComparison to Datasheet Values
ShaunAndKelly
AndyMarkUnitsError
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Tooth Width1.05E-02mB_BAR1.311.35T2.77%
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Tooth Length4.40E-02mB1.801.85T2.77%
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Pole Length5.68E-02mA_BAR1.36E+041.38E+04A/m1.72%
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Rotor Outer Diameter0.04337mNum_slots4.004.00Slots0.00%
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Stator Inner Diameter0.04483mNum_turns16.0016.17Turns1.07%
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Mass of Rotor4.53E+02gGap Distance1.46E-031.99E-03m26.46%
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Mass of Armature3.33E+02gIa130.71128.97A1.35%
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Mass of Copper1.11E+02g
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Distance Between Poles1.60E-02m
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Given Datasheet ValuesValueUnits
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No Load Current2.70E+00A
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Stall Torque3.43E+02oz-in
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Stall Current1.33E+02A
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Armature Stall Current6.54E+01A
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Torque @ Max Efficiency4.50E+01oz-in
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Current @ Max Efficiency1.98E+01A
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Torque @ Normal Load6.40E+01oz-in
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Current @ Normal Load2.70E+01A
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Torque @ Max Power1.72E+02oz-in
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Current @ Max Power6.79E+01A
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Torque Constant1.88E-02N-m/A
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No Load Speed5,310.00RPM
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Calculated MechanicalValueUnits
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Rotor Radius0.021685m
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Air Gap1.46E-03m
Gap distance is OD-ID, not (OD-ID)/2
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Rotor Surface Area6.00E-03m^2
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Tooth Surface Area1.85E-03m^2
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Pole Circumferential Width3.84E-02m
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Pole Surface Area2.18E-03m^2
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4.36E-03
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Calculated MagneticValueUnits
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Average Flux Density1.31E+00TB_BAR
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Calculated ElectricalValueUnits
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Stall Current1.31E+02AI
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Stall Power1,568.47W
Note: Number of active slots under pole = 4
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Specific Electrical Loading1.36E+04A/mA_BAR
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Coil eqv Cross Sectional Area
1.65E-06m^2
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Coil eqv Length1.52E+01m
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Coil Resistance1.57E-01Ohm
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Calculated TorqueValueUnits
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Max Torque, Metric2.32E+00N-mUsing Eq 1.9 in Book22.49%:-(22.49%
Ratio of Pole to Tooth Length
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Max Torque, Metric1.80E+00N-mUsing Eq 8.1 Rice Paper
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Max Torque, English328.12oz-in
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Max Torque, Corrected321.34oz-in
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Calculated MassValueUnits
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Est. Rotor Copper Mass224.27g
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Est. Rotor Iron Mass228.73g
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Calculated Thermal ValueUnits
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Coil Resistive Loss114.39W
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Run Time Thermal Energy41,180.91J
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Delta T217.58C
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Final Temp244.58C
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Andy Mark Motor StatesTorque PredictedGivenUnitsError
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No Load (2.7A)0.000.00oz-in-
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Max Efficiency (19.8 A)42.0445.00oz-in6.58%
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Normal Load (27 A)59.7464.00oz-in6.65%
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Max Power (67.9 A)160.30171.70oz-in6.64%
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Stall (133.0 A)321.34343.40oz-in6.42%
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References
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The book
https://www.amazon.com/Electric-Motors-Drives-Fundamentals-Applications/dp/0080983324/ref=sr_1_1?s=books&ie=UTF8&qid=1486884926&sr=1-1&keywords=electric+motors+and+drives
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Rice Paper
http://www.ece.rice.edu/~jdw/435/book/ch8
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Datasheet
http://files.andymark.com/CIM-motor-curve.pdf
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Test Curve
http://files.andymark.com/CIM-motor-curve-am-0255.pdf
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Forum Explaining Duty Cycle
https://www.chiefdelphi.com/forums/showthread.php?t=64482
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