Subharmonic ferroresonance in an LCR circuit with hysteresis

H. Lamba; M. Grinfeld; S. McKee; R. Simpson

doi:10.1109/20.595906

Subharmonic ferroresonance in an LCR circuit with hysteresis

H. Lamba, M. Grinfeld, S. McKee, R. Simpson

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

47 Citations (Scopus)

Abstract

We use the Preisach model of magnetic hysteresis to model the inductance in a series LCR circuit. By introducing a hysteresis parameter into the Preisach functions used, we are able to continuously vary the width of the hysteresis loop and thereby investigate the effects of magnetic hysteresis on the circuit's behavior. In particular, it is shown that the stability region of a period-3 subharmonic ferroresonant solution can increase significantly as the hysteresis losses are reduced. The bifurcations leading to the appearance and disappearance of this subharmonic solution are examined. Also, strong numerical evidence is provided for the unsuitability of single-valued M-H curves in the analysis of ferroresonant phenomena.

Original language	English
Pages (from-to)	2495-2500
Number of pages	6
Journal	IEEE Transactions on Magnetics
Volume	33
Issue number	4
DOIs	https://doi.org/10.1109/20.595906
Publication status	Published - 31 Jul 1997

Access to Document

10.1109/20.595906

Cite this

@article{57eb580ceb9b4c93a576da3cff5ff4d0,

title = "Subharmonic ferroresonance in an LCR circuit with hysteresis",

abstract = "We use the Preisach model of magnetic hysteresis to model the inductance in a series LCR circuit. By introducing a hysteresis parameter into the Preisach functions used, we are able to continuously vary the width of the hysteresis loop and thereby investigate the effects of magnetic hysteresis on the circuit's behavior. In particular, it is shown that the stability region of a period-3 subharmonic ferroresonant solution can increase significantly as the hysteresis losses are reduced. The bifurcations leading to the appearance and disappearance of this subharmonic solution are examined. Also, strong numerical evidence is provided for the unsuitability of single-valued M-H curves in the analysis of ferroresonant phenomena.",

author = "H. Lamba and M. Grinfeld and S. McKee and R. Simpson",

year = "1997",

month = jul,

day = "31",

doi = "10.1109/20.595906",

language = "English",

volume = "33",

pages = "2495--2500",

journal = "IEEE Transactions on Magnetics",

issn = "0018-9464",

number = "4",

}

TY - JOUR

T1 - Subharmonic ferroresonance in an LCR circuit with hysteresis

AU - Lamba, H.

AU - Grinfeld, M.

AU - McKee, S.

AU - Simpson, R.

PY - 1997/7/31

Y1 - 1997/7/31

N2 - We use the Preisach model of magnetic hysteresis to model the inductance in a series LCR circuit. By introducing a hysteresis parameter into the Preisach functions used, we are able to continuously vary the width of the hysteresis loop and thereby investigate the effects of magnetic hysteresis on the circuit's behavior. In particular, it is shown that the stability region of a period-3 subharmonic ferroresonant solution can increase significantly as the hysteresis losses are reduced. The bifurcations leading to the appearance and disappearance of this subharmonic solution are examined. Also, strong numerical evidence is provided for the unsuitability of single-valued M-H curves in the analysis of ferroresonant phenomena.

AB - We use the Preisach model of magnetic hysteresis to model the inductance in a series LCR circuit. By introducing a hysteresis parameter into the Preisach functions used, we are able to continuously vary the width of the hysteresis loop and thereby investigate the effects of magnetic hysteresis on the circuit's behavior. In particular, it is shown that the stability region of a period-3 subharmonic ferroresonant solution can increase significantly as the hysteresis losses are reduced. The bifurcations leading to the appearance and disappearance of this subharmonic solution are examined. Also, strong numerical evidence is provided for the unsuitability of single-valued M-H curves in the analysis of ferroresonant phenomena.

U2 - 10.1109/20.595906

DO - 10.1109/20.595906

M3 - Article

SN - 0018-9464

VL - 33

SP - 2495

EP - 2500

JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

IS - 4

ER -

Subharmonic ferroresonance in an LCR circuit with hysteresis

Abstract

Access to Document

Fingerprint

Cite this