After you have run an analysis, you can view the solution data.
1. Click RMxprt>Results>Solution Data.
This opens the Solutions window with the Solutions tab selected, and the Full Load Operation Data displayed. The Solutions window contains tabs for the following:
•
Solution Data - the Data field in the Solutions window is a drop down menu from which you can select the following:•
Curves - Selecting the Curves tab lets you view pre-defined graphs.2. With the Solution tab selected, select Stator Winding as the Data selected.
Except for a few data corresponding to the wire gauge, this part of data should be the same as the data input in the Stator Winding Properties window. Since automatic design function for Load Type Const Power
the wire gauge is selected in the input, RMxprt calculates the following data:
The electromagnetic wire with Wire Diameter of 0.8118 is equivalent to AWG 20. Stator Slot Fill Factor represents the percentage of occupation of the slot area, i.e. the ratio of the total square sectional area of wires (including Wire Wrap Thickness) in a slot to the total slot area less the slot insulation.
a. Now that Wire Diameter of the electromagnetic wire is calculated by RMxprt, you can open the Winding Properties window and specify the value.
b. For Wire Size, open the Wire Size selection window, select 0.8118 for the electromag-netic wire diameter, which corresponds to 20 for the wire gauge.
c. In the slot Wire Wrap field, input 0.08 for the insulation thickness of the electromagnetic wire.
d. Click OK to close the properties window.
e. Click RMxprt>Analyze All.
After the second analysis is completed, click RMxprt>Results>Solution Data to view the effect of Wire Wrap Thickness of the electromagnetic wire on Stator Slot Fill Factor.
3. In the Solutions window, change the Data selection to Rotor Data.
The Rotor data is displayed.
Here most of the data is the same as input in the Rotor Pole properties window. The only dif-ference is that the Pole Arc radius replaces Pole Arc Offset and, in addition to Mechanical Pole Embrace which is input based on the physical geometry, Electrical Pole Embrace is also given. Electrical Pole Embrace is calculated by the ratio of the average magnetic flux density to the maximum magnetic flux density according to the magnetic flux density distribu-tion along the air-gap.
4. In the Solutions window, change the Data selection to Permanent Magnet.
Wire Diameter (mm):
0.8118 for the diameter of the electromagnetic wire.
Wire Wrap Thickness (mm):
0 for the insulation thickness of the electromagnetic wire. Because input wire wrap is 0, RMxprt picks it up from the selected wire library (American wire), but it still 0 based on the wire wrap data in the library.
Stator Slot Fill
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Getting Started with RMxprt 20-31
This part displays the characteristic data of the permanent magnets as well as the Demagnetiza-tion Flux density, the Recoil Residual Flux density and Recoil Coercive Force of the recoil line based on the demagnetization flux density, which are used for finite element analysis when a linear PM characteristics must be specified.
5. In the Solutions window, change the Data selection to Steady State Parameters.
This part displays the stator winding factor, direct- and the quadratic-axis inductances, the leakage inductance, the resistance of the phase winding, the direct- and the quadratic-axis time constants, the ideal torque constant KT and the ideal back emf constant KE.
6. In the Solutions window, change the Data selection to No-Load Operation.
This part displays the magnetic flux densities in the teeth and the yoke of the stator, and the yoke of the rotor. The maximum value among the three magnetic flux densities is 1.52 Tesla, which locates at the knee part of the B-H curve, below the saturation situation.
The mmfs of the teeth and the yoke of the stator, the air-gap, the yoke and the permanent mag-net of the rotor are given respectively for half magmag-netic reluctance path.
The armature reaction mmf due to the armature current is referred to the demagnetization mmf.
The magnetic flux leakage coefficient takes into account the part of the magnetic flux in the rotor not linking with the stator. The correction factors for the yoke lengths of the stator and the rotor to calculate the yoke mmfs of the stator and the rotor are also given here.
The no-load revolution speed of this machine is equal to 2001 rpm.
7. In the Solutions window, change the Data selection to Full Load Operation.
At Rated Output Power (kW): 0.550, the following characteristic parameters of the machine are calculated as:
Parameters Calculated Values Units
Average Input Current 2.93 A
(of input current waveform in one voltage period)
RMS Armature Current 2.45 A
(of phase current waveform in one voltage period)
Armature Thermal Load 70.88 A2/mm3
(product of Specific Electric Loading and Armature Current Density
)
Specific Electric Load 14.97 A/mm
(stator current distribution per circumferential length along air-gap)
Armature Current Density 4.73 A/mm2
(through cross-sectional area of stator wire)
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8. In the Solutions window, select the Design Sheet tab, and scroll down to Winding Arrange-ment.
This is the layout and the arrangement of the whole two-phase winding of phases A and B, and the short coil pitch factor 5 is taken into account.
Frictional and Wind Loss 11.46 W
(at computed Rated Speed)
Iron-Core Loss 20.24 W
(due to loss curves of stator and rotor iron-core materials)
(the rated operating point is derived based on Output Power)
Input Power 645.6 W
(product of Rated Voltage and Average Input Current)
Efficiency 85.2 %
(ratio of Output Power to Input Power)
Rated Speed 1562 rpm
(at Rated Output Power)
Rated Torque 3.36 Nm
(at Rated Output Power)
Locked-Rotor Torque 32.3 Nm
(starting torque at zero revolution speed)
Locked-Rotor Current 47.6 A
(starting current at zero revolution speed)
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Getting Started with RMxprt 20-33
The 2-phase, 2-layer winding can be arranged in 6 slots as below:
AAABBB
9. In the Solutions window with the Design Sheet table selected, scroll down to Transient FEA
Input Data. (This is at the very bottom.)
The following data of the armature winding corresponds to one phase armature winding.
The following data is the equivalent values used to 2D electromagnetic field analyses.
10. In the Solutions window, click the Curves tab.
This displays the Input DC Current Versus Speed graph. If the text is too small to read, you can resize the window. You can view other predefined graphs by selecting from the drop down menu in the Name field.
Selecting the Curves tab lets you view pre-defined graphs for the following relations:
•
Inut DC Current Versus Speed•
Efficiency Versus Speed•
Output Power Versus Speed•
Output Torque Versus Speed Angle per slot (elec. degrees): 30 Phase-A axis (elec. degrees): 105 First slot center (elec. degrees): 0Number of Turns 360
(total number of turns viewed into output terminals)
Parallel Branches 1
Terminal Resistance 4.5 Ohm
(stator winding dc resistance under given operating temperature, 75oC)
End Leakage Inductance 1.7 mH
(of stator winding)
Equivalent Model Depth 65 mm
Equivalent Stator Stacking Factor 0.95 Equivalent Rotor Stacking Factor 0.95
Equivalent Br (residual flux density) 0.87 Tesla Equivalent Hc (coercive force) 690 kA/m Estimated Rotor Moment of Inertia 0.0015 kg.m2
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•
Cogging Torque in Two Teeth•
Induced Coil Voltages at Rated Speed•
Air-Gap Flux Density•
Induced Winding Phase Voltage at Rated Speed•
Winding Currents Under Load•
Phase Voltage Under LoadYou can also create additional plots with multiple curves.
11. For example, click RMxprt>Results>Create Report.
This displays the Create Report dialog box. Click OK to display the Traces window.
12. In the Traces window, select Input DC Current and Efficiency vs Speed, and click the Add Trace button. Then select Output Torque.
13. These traces appear in the Traces field. Click Done to close the Traces window and display the combined graph.
To continue to part Six of the example, go to Output Design Data.