### Abstract

Original language | English |
---|---|

Pages (from-to) | 2142-2148 |

Number of pages | 7 |

Journal | IEEE Transactions on Magnetics |

Volume | 47 |

Issue number | 8 |

DOIs | |

Publication status | Published - 2011 |

### Fingerprint

### Cite this

*IEEE Transactions on Magnetics*,

*47*(8), 2142-2148. https://doi.org/10.1109/TMAG.2011.2125795

}

*IEEE Transactions on Magnetics*, vol. 47, no. 8, pp. 2142-2148. https://doi.org/10.1109/TMAG.2011.2125795

**Statistical analysis of the effect of magnet placement on cogging torque in fractional pitch permanent magnet motors.** / Heins, Greg; Brown, Travis; Thiele, Mark.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - Statistical analysis of the effect of magnet placement on cogging torque in fractional pitch permanent magnet motors

AU - Heins, Greg

AU - Brown, Travis

AU - Thiele, Mark

PY - 2011

Y1 - 2011

N2 - Theoretically, the layout of fractional pitch permanent magnet motors should ensure the cancellation of most cogging torque harmonics. In reality, manufacturing errors lead to incomplete cancellation and higher than expected cogging torque. One potential manufacturing error is the variation in angle between neighboring magnets. This paper uses the superposition technique to analytically determine the expected magnitude of each cogging torque harmonic based on a Gaussian distribution of angular magnet placement variation. A simple expression is presented for the expected value of each harmonic's magnitude based upon the harmonic number, the number of magnets, and the standard deviation of the Gaussian placement distribution. The derived expression is validated using Monte Carlo simulations and experimental implementation.

AB - Theoretically, the layout of fractional pitch permanent magnet motors should ensure the cancellation of most cogging torque harmonics. In reality, manufacturing errors lead to incomplete cancellation and higher than expected cogging torque. One potential manufacturing error is the variation in angle between neighboring magnets. This paper uses the superposition technique to analytically determine the expected magnitude of each cogging torque harmonic based on a Gaussian distribution of angular magnet placement variation. A simple expression is presented for the expected value of each harmonic's magnitude based upon the harmonic number, the number of magnets, and the standard deviation of the Gaussian placement distribution. The derived expression is validated using Monte Carlo simulations and experimental implementation.

KW - Analytical model

KW - Cogging torque

KW - Mass production

KW - permanent magnet machines

KW - Statistical distribution

KW - AC motors

KW - Angular distribution

KW - Computer simulation

KW - Harmonic analysis

KW - Magnetic devices

KW - Manufacture

KW - Mathematical models

KW - Monte Carlo methods

KW - Permanent magnets

KW - Torque

U2 - 10.1109/TMAG.2011.2125795

DO - 10.1109/TMAG.2011.2125795

M3 - Article

VL - 47

SP - 2142

EP - 2148

JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

SN - 0018-9464

IS - 8

ER -