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Halbach Components
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Halbach Components
Detail
The Halbach array is a special arrangement of magnets, invented by American physicist Klaus Halbach in 1980. The array is characterized by a magnetic field that is very concentrated on one side of the array and almost zero on the other.Halbach arrays are made by skillfully arranging permanent magnets so that the magnetic lines of force are enhanced on one side of the array and cancel each other out on the opposite side.
Characteristics of Halbach array:
1. Asymmetry of the magnetic field: this is the most significant feature of the Halbach array. The magnetic field is strong on one side of the array and almost disappears across 180 degrees.
2. Localized enhancement of the magnetic field: It is possible to generate a more concentrated magnetic field on one side of the array than conventional magnets.
3. Adjustability of the magnetic field: By changing the arrangement and size of the magnets, the magnetic field distribution can be adjusted.
Application areas:
1. Motors and generators: Halbach arrays can be used to create more efficient and smaller motors and generators.
2. Magnetic levitation devices: The use of a strong magnetic field on one side of the array can be used to achieve stable magnetic levitation of objects.
3. Medical devices: In magnetic resonance imaging (MRI), Halbach arrays can be used to generate a more uniform magnetic field.
4. Sensors: Sensors used to accurately measure parameters such as angle and position.
5. Linear actuators: In linear motion applications where precise control is required.
Principle of operation:
Halbach arrays work by arranging magnets in a regular pattern (usually alternating polarity) so that the magnetic fields of each magnet are superimposed on each other in space. On one side of the array, these fields reinforce each other, while on the other side they cancel each other out, resulting in a significantly stronger magnetic field on one side of the array and a significantly weaker field on the other side, thus producing a stronger magnetic field with fewer magnets.
Below is a comparison between the effect of a normal magnet arrangement and the effect of a Halbach array arrangement.

This is a practical application of Helbeh

(2-stage Heilbech motor stator consisting of 16 magnets)
The following is the waveform and magnetic field distribution of the stator

The magnetic field is sinusoidally distributed, and the greater the number of magnets in each pole, the higher the degree of sinusoidal distribution.
Advantages:
* Reduce the harmonic of motor.
* Enlarge air gap of motor
* Increased utilization of magnetic field
Magnetic properties of Sintered NdFeB magnets:
| Grade |
Residual magnetism Br |
Coercivity HcB |
Endowed with coercivity Hcj |
Maximum magnetic energy product (BH)max |
Recommended maximum working temperature |
||||||||
| kGs | T | kOe | kA/m | kOe | kA/m | MGOe | kJ/m3 | ||||||
| L/D≥0.7 | |||||||||||||
| Max | Min | Max | Min | Min | Min | Min | Min | Max | Min | Max | Min | ℃ | |
| N30 | 11.3 | 10.8 | 1.13 | 1.08 | ≥10 | ≥796 | ≥12 | ≥955 | 31 | 28 | 247 | 223 | ≤80 |
| N33 | 11.8 | 11.3 | 1.18 | 1.13 | ≥10.5 | ≥836 | ≥12 | ≥955 | 34 | 31 | 271 | 247 | ≤80 |
| N35 | 12.2 | 11.8 | 1.22 | 1.18 | ≥10.9 | ≥868 | ≥12 | ≥955 | 36 | 33 | 287 | 263 | ≤80 |
| N38 | 12.6 | 12.2 | 1.26 | 1.22 | ≥11.3 | ≥899 | ≥12 | ≥955 | 39 | 36 | 311 | 287 | ≤80 |
| N40 | 12.9 | 12.6 | 1.29 | 1.26 | ≥11.4 | ≥907 | ≥12 | ≥955 | 41 | 38 | 327 | 302 | ≤80 |
| N42 | 13.3 | 12.9 | 1.33 | 1.29 | ≥11.5 | ≥915 | ≥12 | ≥955 | 43 | 40 | 342 | 318 | ≤80 |
| N45 | 13.7 | 13.3 | 1.37 | 1.33 | ≥11.5 | ≥915 | ≥12 | ≥955 | 46 | 43 | 366 | 342 | ≤80 |
| N48 | 14.1 | 13.7 | 1.41 | 1.37 | ≥11 | ≥876 | ≥12 | ≥955 | 49 | 45 | 390 | 358 | ≤80 |
| N50 | 14.5 | 14.0 | 1.45 | 1.40 | ≥11 | ≥876 | ≥12 | ≥955 | 51 | 47 | 406 | 374 | ≤80 |
| N52 | 14.8 | 14.3 | 1.48 | 1.43 | ≥10.9 | ≥868 | ≥11 | ≥876 | 53 | 49 | 422 | 390 | ≤70 |
| N55 | 15.2 | 14.6 | 1.52 | 1.46 | ≥10.5 | ≥836 | ≥11 | ≥876 | 55 | 51 | 438 | 406 | ≤70 |
| 30M | 11.3 | 10.8 | 1.13 | 1.08 | ≥10 | ≥796 | ≥14 | ≥1114 | 31 | 28 | 247 | 223 | ≤100 |
| 33M | 11.8 | 11.3 | 1.18 | 1.13 | ≥10.5 | ≥836 | ≥14 | ≥1114 | 34 | 31 | 271 | 247 | ≤100 |
| 35M | 12.2 | 11.8 | 1.22 | 1.18 | ≥10.9 | ≥868 | ≥14 | ≥1114 | 36 | 33 | 287 | 263 | ≤100 |
| 38M | 12.6 | 12.2 | 1.26 | 1.22 | ≥11.3 | ≥899 | ≥14 | ≥1114 | 39 | 36 | 311 | 287 | ≤100 |
| 40M | 12.9 | 12.6 | 1.29 | 1.26 | ≥11.6 | ≥923 | ≥14 | ≥1114 | 41 | 38 | 327 | 302 | ≤100 |
| 42M | 13.3 | 12.9 | 1.33 | 1.29 | ≥12 | ≥955 | ≥14 | ≥1114 | 43 | 40 | 342 | 318 | ≤100 |
| 45M | 13.7 | 13.3 | 1.37 | 1.33 | ≥12.5 | ≥995 | ≥14 | ≥1114 | 46 | 43 | 366 | 342 | ≤100 |
| 48M | 14.1 | 13.7 | 1.41 | 1.37 | ≥12.9 | ≥1027 | ≥14 | ≥1114 | 49 | 45 | 390 | 358 | ≤100 |
| 50M | 14.5 | 14.0 | 1.45 | 1.40 | ≥13.,1 | ≥1043 | ≥14 | ≥1114 | 51 | 47 | 406 | 374 | ≤100 |
| 52M | 14.7 | 14.2 | 1.47 | 1.42 | ≥12.9 | ≥1027 | ≥14 | ≥1114 | 53 | 49 | 422 | 390 | ≤100 |
| 54M | 15.2 | 14.7 | 1.52 | 1.47 | ≥12.5 | ≥995 | ≥14 | ≥1114 | 55 | 51 | 438 | 406 | ≤100 |
| 30H | 11.3 | 10.8 | 1.13 | 1.08 | ≥10 | ≥796 | ≥17 | ≥1353 | 31 | 28 | 247 | 223 | ≤120 |
| 33H | 11.8 | 11.3 | 1.18 | 1.13 | ≥10.5 | ≥836 | ≥17 | ≥1353 | 34 | 31 | 271 | 247 | ≤120 |
| 35H | 12.2 | 11.8 | 1.22 | 1.18 | ≥10.9 | ≥868 | ≥17 | ≥1353 | 36 | 33 | 287 | 263 | ≤120 |
| 38H | 12.6 | 12.2 | 1.26 | 1.22 | ≥11.3 | ≥899 | ≥17 | ≥1353 | 39 | 36 | 311 | 287 | ≤120 |
| 40H | 12.9 | 12.6 | 1.29 | 1.26 | ≥11.6 | ≥923 | ≥17 | ≥1353 | 41 | 38 | 327 | 302 | ≤120 |
| Grade |
Residual magnetism Br |
Coercivity HcB |
Endowed with coercivity Hcj |
Maximum magnetic energy product (BH)max |
Recommended maximum working temperature |
||||||||
| kGs | T | kOe | kA/m | kOe | kA/m | MGOe | kJ/m3 | ||||||
| L/D≥0.7 | |||||||||||||
| Max | Min | Max | Min | Min | Min | Min | Min | Max | Min | Max | Min | ℃ | |
| 42H | 13.3 | 12.9 | 1.33 | 1.29 | ≥12 | ≥955 | ≥17 | ≥1353 | 43 | 40 | 342 | 318 | ≤120 |
| 45H | 13.7 | 13.3 | 1.37 | 1.33 | ≥12.5 | ≥995 | ≥17 | ≥1353 | 46 | 43 | 366 | 342 | ≤120 |
| 48H | 14.1 | 13.7 | 1.41 | 1.37 | ≥12.9 | ≥1027 | ≥17 | ≥1353 | 49 | 46 | 390 | 366 | ≤120 |
| 50H | 14.5 | 14.0 | 1.45 | 1.40 | ≥13 | ≥1034 | ≥17 | ≥1350 | 51 | 47 | 406 | 374 | ≤120 |
| 52H | 14.7 | 14.2 | 1.47 | 1.42 | ≥13.5 | ≥1074 | ≥17 | ≥1350 | 53 | 49 | 422 | 390 | ≤120 |
| 30SH | 11.4 | 10.8 | 1.14 | 1.08 | ≥10.1 | ≥804 | ≥20 | ≥1592 | 31 | 28 | 247 | 223 | ≤150 |
| 33SH | 11.8 | 11.4 | 1.18 | 1.14 | ≥10.6 | ≥844 | ≥20 | ≥1592 | 34 | 31 | 271 | 247 | ≤150 |
| 35SH | 12.2 | 11.8 | 1.22 | 1.18 | ≥11.0 | ≥876 | ≥20 | ≥1592 | 36 | 33 | 287 | 263 | ≤150 |
| 38SH | 12.6 | 12.2 | 1.26 | 1.22 | ≥11.4 | ≥907 | ≥20 | ≥1592 | 39 | 36 | 311 | 287 | ≤150 |
| 40SH | 12.9 | 12.6 | 1.29 | 1.26 | ≥11.6 | ≥939 | ≥20 | ≥1592 | 41 | 38 | 326 | 302 | ≤150 |
| 42SH | 13.3 | 12.9 | 1.33 | 1.29 | ≥12.4 | ≥987 | ≥20 | ≥1592 | 43 | 40 | 342 | 318 | ≤150 |
| 45SH | 13.7 | 13.2 | 1.37 | 1.32 | ≥12.6 | ≥1003 | ≥20 | ≥1592 | 46 | 42 | 366 | 334 | ≤150 |
| 48SH | 14.1 | 13.7 | 1.41 | 1.37 | ≥12.9 | ≥1027 | ≥20 | ≥1592 | 49 | 46 | 390 | 366 | ≤150 |
| 50SH | 14.5 | 14.0 | 1.45 | 1.40 | ≥13 | ≥1034 | ≥20 | ≥1592 | 51 | 47 | 406 | 374 | ≤150 |
| 52SH | 14.7 | 14.2 | 1.47 | 1.42 | ≥13.5 | ≥1074 | ≥20 | ≥1592 | 53 | 49 | 422 | 390 | ≤150 |
| 28UH | 10.8 | 10.4 | 1.08 | 1.04 | ≥9.6 | ≥764 | ≥25 | ≥1989 | 29 | 26 | 231 | 207 | ≤180 |
| 30UH | 11.4 | 10.8 | 1.14 | 1.08 | ≥10.1 | ≥804 | ≥25 | ≥1989 | 31 | 28 | 247 | 223 | ≤180 |
| 33UH | 11.8 | 11.4 | 1.18 | 1.14 | ≥10.7 | ≥852 | ≥25 | ≥1989 | 34 | 31 | 271 | 247 | ≤180 |
| 35UH | 12.2 | 11.8 | 1.22 | 1.18 | ≥10.8 | ≥860 | ≥25 | ≥1989 | 36 | 33 | 287 | 263 | ≤180 |
| 38UH | 12.6 | 12.2 | 1.26 | 1.22 | ≥11.3 | ≥899 | ≥25 | ≥1989 | 39 | 36 | 311 | 287 | ≤180 |
| 40UH | 12.9 | 12.5 | 1.29 | 1.25 | ≥11.3 | ≥899 | ≥25 | ≥1989 | 41 | 38 | 326 | 302 | ≤180 |
| 42UH | 13.3 | 12.8 | 1.33 | 1.28 | ≥11.6 | ≥923 | ≥25 | ≥1989 | 43 | 40 | 342 | 318 | ≤180 |
| 45UH | 13.7 | 13.2 | 1.37 | 1.32 | ≥12.5 | ≥995 | ≥25 | ≥1989 | 46 | 42 | 366 | 334 | ≤180 |
| 28EH | 10.8 | 10.4 | 1.08 | 1.04 | ≥9.8 | ≥780 | ≥30 | ≥2388 | 29 | 26 | 231 | 207 | ≤200 |
| 30EH | 11.4 | 10.8 | 1.14 | 1.08 | ≥10.1 | ≥804 | ≥30 | ≥2388 | 31 | 28 | 247 | 223 | ≤200 |
| 33EH | 11.8 | 11.4 | 1.18 | 1.14 | ≥10.3 | ≥820 | ≥30 | ≥2388 | 34 | 31 | 271 | 247 | ≤200 |
| 35EH | 12.2 | 11.8 | 1.22 | 1.18 | ≥10.5 | ≥836 | ≥30 | ≥2388 | 36 | 33 | 287 | 263 | ≤200 |
| 38EH | 12.6 | 12.2 | 1.26 | 1.22 | ≥11.3 | ≥899 | ≥30 | ≥2388 | 39 | 35 | 311 | 278 | ≤200 |
| Grade |
Residual magnetism Br |
Coercivity HcB |
Endowed with coercivity Hcj |
Maximum magnetic energy product (BH)max |
Recommended maximum working temperature |
||||||||
| kGs | T | kOe | kA/m | kOe | kA/m | MGOe | kJ/m3 | ||||||
| L/D≥0.7 | |||||||||||||
| Max | Min | Max | Min | Min | Min | Min | Min | Max | Min | Max | Min | ℃ | |
| 40EH | 12.9 | 12.5 | 1.29 | 1.25 | ≥11.3 | ≥899 | ≥30 | ≥2388 | 41 | 38 | 326 | 302 | ≤200 |
| 42EH | 13.3 | 12.8 | 1.33 | 1.28 | ≥11.6 | ≥923 | ≥30 | ≥2388 | 43 | 40 | 342 | 318 | ≤200 |
| 45EH | 13.7 | 13.2 | 1.37 | 1.32 | ≥12.5 | ≥995 | ≥30 | ≥2388 | 46 | 42 | 366 | 334 | ≤200 |
| 28AH | 10.9 | 10.4 | 1.09 | 1.04 | ≥9.8 | ≥780 | ≥35 | ≥2785 | 29 | 26 | 231 | 207 | ≤230 |
| 30AH | 11.3 | 10.8 | 1.13 | 1.08 | ≥10.1 | ≥804 | ≥35 | ≥2785 | 31 | 28 | 247 | 223 | ≤230 |
| 33AH | 11.8 | 11.3 | 1.18 | 1.13 | ≥10.3 | ≥820 | ≥35 | ≥2785 | 34 | 31 | 271 | 247 | ≤230 |
| 35AH | 12.2 | 11.8 | 1.22 | 1.18 | ≥10.5 | ≥860 | ≥35 | ≥2785 | 36 | 33 | 287 | 263 | ≤230 |
| 38AH | 12.6 | 12.2 | 1.26 | 1.22 | ≥11.3 | ≥899 | ≥35 | ≥2785 | 39 | 35 | 311 | 278 | ≤230 |
Note: The above magnetic performance parameters are tested at 20℃~23℃ room temperature.
| Grade |
Residual magnetism Br |
Coercivity HcB |
Endowed with coercivity Hcj |
Maximum magnetic energy product (BH)max |
||||||||
| kGs | T | kOe | kA/m | kOe | kA/m | MGOe | kJ/m3 | |||||
| Max | Min | Max | Min | Min | Min | Min | Min | Max | Min | Max | Min | |
| G50SH | 14.4 | 13.9 | 1.44 | 1.39 | 13.0 | 1035 | 20 | 1592 | 50 | 47 | 398 | 374 |
| G50SHT | 14.4 | 13.9 | 1.44 | 1.39 | 13.0 | 1035 | 22 | 1751 | 50 | 47 | 398 | 374 |
| G52SH | 14.6 | 14.2 | 1.46 | 1.42 | 13.2 | 1050 | 20 | 1592 | 52 | 49 | 414 | 390 |
| G52SHT | 14.6 | 14.2 | 1.46 | 1.42 | 13.2 | 1050 | 22 | 1751 | 52 | 49 | 414 | 390 |
| G45UH | 13.7 | 13.2 | 1.37 | 1.32 | 12.4 | 987 | 25 | 2149 | 46 | 42 | 366 | 334 |
| G45UHT | 13.7 | 13.2 | 1.37 | 1.32 | 12.4 | 987 | 27 | 2149 | 46 | 42 | 366 | 334 |
| G48UH | 14.0 | 13.6 | 1.40 | 1.36 | 12.7 | 1011 | 25 | 1990 | 48 | 45 | 382 | 358 |
| G48UHT | 14.0 | 13.6 | 1.40 | 1.36 | 12.7 | 1011 | 27 | 2149 | 48 | 45 | 382 | 358 |
| G50UH | 14.4 | 13.9 | 1.44 | 1.39 | 13.0 | 1035 | 25 | 1990 | 50 | 47 | 398 | 374 |
| G52UH | 14.5 | 14.2 | 1.45 | 1.42 | 13.7 | 1090 | 26 | 1989 | 52 | 49 | 414 | 390 |
| G42EHT | 13.3 | 12.8 | 1.33 | 1.28 | 12.0 | 955 | 32 | 2547 | 43 | 40 | 342 | 318 |
| G45EH | 13.7 | 13.2 | 1.37 | 1.32 | 12.4 | 987 | 30 | 2388 | 46 | 42 | 366 | 334 |
| G45EHT | 13.7 | 13.2 | 1.37 | 1.32 | 12.4 | 987 | 32 | 2547 | 46 | 42 | 366 | 334 |
| G38AHT | 12.6 | 12.1 | 1.26 | 1.21 | 11.8 | 939 | 37 | 2945 | 39 | 35 | 310 | 278 |
| G40AH | 12.9 | 12.5 | 1.29 | 1.25 | 12.0 | 955 | 35 | 2786 | 41 | 38 | 326 | 302 |
| G40AHT | 12.9 | 12.5 | 1.29 | 1.25 | 12.0 | 955 | 37 | 2945 | 41 | 38 | 326 | 302 |
| G42AH | 13.3 | 12.8 | 1.33 | 1.28 | 12.0 | 955 | 35 | 2786 | 43 | 40 | 342 | 318 |
Note: The above magnetic performance parameters are tested at 20℃~23℃ room temperature.
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