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© 2009 ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary© 2009 ANSYS, Inc. All rights reserved. 1 ANSYS, Inc. Proprietary
PM Machine Demagnetization Analysis due to Fault Conditions
PM Machine Demagnetization Analysis due to Fault Conditions
Scott StantonRyan MagargleJulius Saitz
ANSYS, Inc.
Scott StantonRyan MagargleJulius Saitz
ANSYS, Inc.
© 2009 ANSYS, Inc. All rights reserved. 2 ANSYS, Inc. Proprietary
Motivation
1. In many permanent magnet motors during the startup condition, the incident field can push the operating point the knee and thus never allowing the magnet to fully recover.
2. The knee point can lie in either in the 2nd or 3rd quadrant
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Test Case
Linear High Permeable Material: μr = 20,000
Non-Linear MagnetN
I
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Determine Demag Point #1 using I=I1and Original B-H Curve
rB
O
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Determine Demag Point #1 using I=I1and Original B-H Curve
1
rB
O
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Draw a Line from the Origin to Point #1
1
rB
O
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Determine Point #2: Intercept off Original BH Curve in 3rd Quadrant
1
rB
O2
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Determine New Remanent Point Br’
Parallel to Original B-H Curve Slope
1
rB
O2
rB′
Parallel
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Solve again, using Br’ and Calculate Point #3
rB
O
rB′
3
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Draw a Line from the Origin to Point #3
rB
O
rB′
3
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Determine Point #4 which is the Intercept off Original BH Curve in 3rd
Quadrant
rB
O
rB′
34
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Determine New Remanent Point Br’’
Parallel to Original B-H Curve Slope
rB
O
rB′
34
rB ′′
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Solve again, using new Br and Calculate Point #5
-920
rB
O
5
rB ′′′
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Determine Point #6 which is the Intercept off Original BH Curve in 3rd
Quadrant
-920
rB
O
5
rB ′′′
6
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Continue to Iterate Until the Solved Point Lies on the Original B-H Curve within an Acceptable Tolerance
-920
rB
O
1rB
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This process is done on an element-by-element basis
-920
rB
O
1rB
2rB
3rB
4rB
nB
nrH4rH3rH2rH1rH 5rH
5rB
© 2009 ANSYS, Inc. All rights reserved. 17 ANSYS, Inc. Proprietary
Extend Nonlinear BH Curve Into the 3rd Quadrant
MQP-B+ from Magnequench
Demag point
Hc′ afterdemag
Working point
rB′
rB
© 2009 ANSYS, Inc. All rights reserved. 18 ANSYS, Inc. Proprietary
Test Case
Linear High Permeable Material: μr = 20,000
Non-Linear MagnetN
I
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Non-linear definition into the 3rd
Quadrant: Maxwell V13
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Step 1: Analyze Design with I = 0 amps
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Step 1: Analyze Design with I = 0 amps
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Step 2: Compute Demagnetization PointsExcitation is Starting Current
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By and Hy on Magnet
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By is Below the Knee Point into the 3rd Quadrant
Expect to recoil in this range
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Step 3: Create a Dynamically Linked Design
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Use the Same Mesh as the Source Design: Don’t Refine the Mesh
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Reset Coil Current to Zero
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Magnetic Field and Flux Density in Magnet
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Demag and Recoil Permeabilities
Demag Operating Points
Recoil Operating Points
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B-H Curve for Alnico 9
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Dynamic demagnetization
Time
Current
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BH curve at a point inside magnet
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Working with demagnetized magnet
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Generator Fault Example
• 550 W PM generator• 4 Pole• 3 Phase, 50HZ AC• Ceramic 8D PM• Rated Speed,
Open-Circuit toShort-Circuit Fault
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Magnet
• 2nd quadrant demagnetization (demag)• Spatially dependent demag due to fault
Initial Radial Magnetization
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0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.00 40.00Time [ms]
-80.00
-25.00
30.00
80.00
Volts
[V]
Ansoft LLC Maxwell3DDesign23D_EMF_save_demag ANSOFT
Curve InfoInducedVoltage(PhaseA)
Setup1 : TransientInducedVoltage(PhaseB)
Setup1 : TransientInducedVoltage(PhaseC)
Setup1 : Transient
0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.00 40.00Time [ms]
-80.00
-25.00
30.00
80.00
Volts
[V]
Ansoft LLC Maxwell3DDesign23D_EMF_save_demag ANSOFT
Curve InfoInducedVoltage(PhaseA)
Setup1 : TransientInducedVoltage(PhaseB)
Setup1 : TransientInducedVoltage(PhaseC)
Setup1 : Transient
Short-Circuit Analysis
• Short circuit at 15.2ms: Phase A peak
Bus short for all phases
-3.00E+005 -2.00E+005 -1.00E+005 0.00E+000H [A/m]
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
B [T
]
Ansoft LLC Maxwell3DDesign2BH_Data_Points_Initial_Demag ANSOFT
-3.00E+005 -2.00E+005 -1.00E+005 0.00E+000H [A/m]
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
B [T
]
Ansoft LLC Maxwell3DDesign2BH_Data_Points_Initial_Demag ANSOFT
Material BH Curve
Operating Point
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Short-Circuit Analysis
• Subsequent use of the magnet results in reduced performance
0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.00 40.00Time [ms]
-80.00
-25.00
30.00
80.00
Volts
[V]
Ansoft LLC Maxwell3DDesign33D_EMF_demaged ANSOFT
Curve InfoInducedVoltage(PhaseA)
Setup1 : TransientInducedVoltage(PhaseB)
Setup1 : TransientInducedVoltage(PhaseC)
Setup1 : Transient
0.00 5.00 10.00 15.00 20.00 25.00 30.00 35.00 40.00Time [ms]
-80.00
-25.00
30.00
80.00
Volts
[V]
Ansoft LLC Maxwell3DDesign33D_EMF_demaged ANSOFT
Curve InfoInducedVoltage(PhaseA)
Setup1 : TransientInducedVoltage(PhaseB)
Setup1 : TransientInducedVoltage(PhaseC)
Setup1 : Transient
Addt’l short for all phasesWeak Back EMF
-3.00E+005 -2.00E+005 -1.00E+005 0.00E+000H [A/m]
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
B [T
]
Ansoft LLC Maxwell3DDesign3BH_Data_Points_Demag ANSOFT
-3.00E+005 -2.00E+005 -1.00E+005 0.00E+000H [A/m]
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
B [T
]
Ansoft LLC Maxwell3DDesign3BH_Data_Points_Demag ANSOFT
Operating Points
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Short-Circuit Analysis
• Leading edge is weakened significantly
0.00 5.00 10.00 15.00Time [ms]
-80.00
-25.00
30.00
80.00
Volts
[V]
Ansoft LLC Maxwell3DDesign33D_EMF_demaged ANSOFT
0.00 5.00 10.00 15.00Time [ms]
-80.00
-25.00
30.00
80.00
Volts
[V]
Ansoft LLC Maxwell3DDesign33D_EMF_demaged ANSOFT
0.00 5.00 10.00 15.00Time [ms]
-80.00
-25.00
30.00
80.00
Volts
[V]
Ansoft LLC Maxwell3DDesign23D_EMF_save_demag ANSOFT
0.00 5.00 10.00 15.00Time [ms]
-80.00
-25.00
30.00
80.00
Volts
[V]
Ansoft LLC Maxwell3DDesign23D_EMF_save_demag ANSOFT
Original
Fault
© 2009 ANSYS, Inc. All rights reserved. 39 ANSYS, Inc. Proprietary
Conclusion
• To account for non-linear permanent magnets in your designs, the ability to accurately calculate the demagnetization point can be critical.
• It has been shown that Maxwell® 3D accurately accounts for this effect.
© 2009 ANSYS, Inc. All rights reserved. 40 ANSYS, Inc. Proprietary
Extend Nonlinear BH Curve Into the 3rd Quadrant
MQP-B+ from Magnequench
rB
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Determine Working Point #1 using I=I1 and Original B-H Curve
MQP-B+ from Magnequench
Working point
rB
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Freeze mur in Each Element, Set I=0 to Determine No-Load Point
MQP-B+ from Magnequench
Working point
rB
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Determine Magnet Load Line at I=0 amps
MQP-B+ from Magnequench
Load line without other sources
Working point
rB
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Determine Magnet Load Line for the Working Point
MQP-B+ from Magnequench
Load line without other sources
Load line with other sources
Working point
rB
© 2009 ANSYS, Inc. All rights reserved. 45 ANSYS, Inc. Proprietary
Determine Demag Point
MQP-B+ from Magnequench
Load line without other sources
Load line with other sources
Demag point
Working point
rB
© 2009 ANSYS, Inc. All rights reserved. 46 ANSYS, Inc. Proprietary
Determine New Remanent Point Br
’and Coercive Point Hc’
MQP-B+ from Magnequench
Load line without other sources
Load line with other sources
Demag point
Hc′ afterdemag
Working point
rB′
rB
© 2009 ANSYS, Inc. All rights reserved. 47 ANSYS, Inc. Proprietary
Extend Nonlinear BH Curve Into the 3rd Quadrant
MQP-B+ from Magnequench
Load line without other sources
Load line with other sources
Demag point
Hc′ afterdemag
Working point
rB′
rB
© 2009 ANSYS, Inc. All rights reserved. 48 ANSYS, Inc. Proprietary
Add Magnetization Capability
B
H0
• Based on the original non-remanent B-H curve
• Construct line b at the operating point p, which is parallel to the line a
• Br is the intersection of line b with B-axis
• Element by element
Br Line b
Line a
p