Rotation Angle (deg)
A
ngle E
rror (d
eg)
0
45
90
135
180
225
270
315
360
-4
-3.6
-3.2
-2.8
-2.4
-2
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2
2.4
2.8
3.2
3.6
4
Natural Error
1st Harmonic Approximation
Figure 3-7. First Harmonic Approximation
Rotation Angle (deg)
A
ngle E
rror (d
eg)
0
45
90
135
180
225
270
315
360
-4
-3.6
-3.2
-2.8
-2.4
-2
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2
2.4
2.8
3.2
3.6
4
Natural Error
2nd Harmonic Approximation
Figure 3-8. Second Harmonic Approximation
Rotation Angle (deg)
A
ngle E
rror (d
eg)
0
45
90
135
180
225
270
315
360
-4
-3.6
-3.2
-2.8
-2.4
-2
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2
2.4
2.8
3.2
3.6
4
Natural Error
3rd Harmonic Approximation
Figure 3-9. Third Harmonic Approximation
For all of the test results, the data was captured at 0.25° intervals and analyzed for harmonic reduction.
To achieve consistent results in a real manufacturing environment, some degree of calibration for each system is
likely necessary as each unit would exhibit slight variations in the various mechanical tolerances.
Hardware, Software, Testing Requirements, and Test Results
Absolute Angle Encoder Reference Design With Hall-Effect Sensors for
Precise Motor Position Control
23
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