## Abstract

From the Joules-Atherton (J-A) model, the sign of magnetization energy loss due to hysteresis at the positive-going magnetic field H is opposite to that at the negative-going magnetic field H , which is +1 if dH/dt > 0 and is -1 if dH/dt < 0. This implies that an inductor has different inductances at the current ramp-up time due to dH/dt>0 and ramp-down time due to dH/dt < 0. However, this phenomenon is never reported until now. In this article, the inductance of an inductor is found which is larger than the intrinsic inductance at the current ramp-up time ( t_ up ) and smaller than the intrinsic inductance at the current ramp-down time ( t_ dn ) for a boost converter during the continuous conduction mode (CCM) voltage converter. Moreover, hysteresis also makes the classical model of the voltage conversion ratio for boost converter design, V_ OUT/V_ IN= 1/(1-D) , invalid since D(t_ up/T ) is not a constant caused by the t_ up and t_ dn varied with the output current of boost converter, where t_ up + t_ dn= T. The hysteresis model aids designers in estimating the behavior of inductor current variations more accurately without having to wait for chip manufacturing and measurement to reveal the actual behavior.

Original language | English |
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Article number | 7300105 |

Pages (from-to) | 1-5 |

Number of pages | 5 |

Journal | IEEE Transactions on Magnetics |

Volume | 60 |

Issue number | 1 |

DOIs | |

State | Published - 1 Jan 2024 |

## Keywords

- Converter
- hysteresis
- magnetization
- power loss