### Abstract

In the frame of the constantly increasing in electric power systems (EPSs) complexity, the challenge of ensuring adequacy of relay protection (RP) devices operation becomes more and more urgent. The authors propose to use the detailed mathematical models of the combination «instrument transformers (IT)—RP» with modern EPS simulators as the solution. It is very important to adequately simulate IT, in particular, the magnetic core magnetization process, because IT largely determines the shape of the RP-controlled signal and affects on its operation. However, in practice simplified models are currently used due to the lack of an accurate mathematical description of the IT core magnetization characteristics. Such models do not reflect all processes in the magnetic core. The aim of this work is to develop a hysteresis mathematical model, which will have a high accuracy in reproducing the magnetization processes of transformer core. The main research method is mathematical modeling of the ferromagnetic material magnetization processes in the MathCAD software. The article presents main development principles of the mathematical model with magnetic hysteresis memory based on the Preisach theory, which reproduces with high accuracy both the major and minor hysteresis loops.

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

Pages (from-to) | 3-9 |

Number of pages | 7 |

Journal | Electrical Engineering |

Volume | 101 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Apr 2019 |

### Fingerprint

### Keywords

- Inverse hysteresis model
- Magnetic hysteresis
- Major hysteresis loop
- Mathematical simulation
- Minor hysteresis loop
- Preisach theory
- Relay protection

### ASJC Scopus subject areas

- Electrical and Electronic Engineering
- Applied Mathematics

### Cite this

*Electrical Engineering*,

*101*(1), 3-9. https://doi.org/10.1007/s00202-018-0751-3

**Design of the magnetic hysteresis mathematical model based on Preisach theory.** / Andreev, Mikhail; Askarov, Alisher; Suvorov, Aleksey.

Research output: Contribution to journal › Article

*Electrical Engineering*, vol. 101, no. 1, pp. 3-9. https://doi.org/10.1007/s00202-018-0751-3

}

TY - JOUR

T1 - Design of the magnetic hysteresis mathematical model based on Preisach theory

AU - Andreev, Mikhail

AU - Askarov, Alisher

AU - Suvorov, Aleksey

PY - 2019/4/1

Y1 - 2019/4/1

N2 - In the frame of the constantly increasing in electric power systems (EPSs) complexity, the challenge of ensuring adequacy of relay protection (RP) devices operation becomes more and more urgent. The authors propose to use the detailed mathematical models of the combination «instrument transformers (IT)—RP» with modern EPS simulators as the solution. It is very important to adequately simulate IT, in particular, the magnetic core magnetization process, because IT largely determines the shape of the RP-controlled signal and affects on its operation. However, in practice simplified models are currently used due to the lack of an accurate mathematical description of the IT core magnetization characteristics. Such models do not reflect all processes in the magnetic core. The aim of this work is to develop a hysteresis mathematical model, which will have a high accuracy in reproducing the magnetization processes of transformer core. The main research method is mathematical modeling of the ferromagnetic material magnetization processes in the MathCAD software. The article presents main development principles of the mathematical model with magnetic hysteresis memory based on the Preisach theory, which reproduces with high accuracy both the major and minor hysteresis loops.

AB - In the frame of the constantly increasing in electric power systems (EPSs) complexity, the challenge of ensuring adequacy of relay protection (RP) devices operation becomes more and more urgent. The authors propose to use the detailed mathematical models of the combination «instrument transformers (IT)—RP» with modern EPS simulators as the solution. It is very important to adequately simulate IT, in particular, the magnetic core magnetization process, because IT largely determines the shape of the RP-controlled signal and affects on its operation. However, in practice simplified models are currently used due to the lack of an accurate mathematical description of the IT core magnetization characteristics. Such models do not reflect all processes in the magnetic core. The aim of this work is to develop a hysteresis mathematical model, which will have a high accuracy in reproducing the magnetization processes of transformer core. The main research method is mathematical modeling of the ferromagnetic material magnetization processes in the MathCAD software. The article presents main development principles of the mathematical model with magnetic hysteresis memory based on the Preisach theory, which reproduces with high accuracy both the major and minor hysteresis loops.

KW - Inverse hysteresis model

KW - Magnetic hysteresis

KW - Major hysteresis loop

KW - Mathematical simulation

KW - Minor hysteresis loop

KW - Preisach theory

KW - Relay protection

UR - http://www.scopus.com/inward/record.url?scp=85057824248&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85057824248&partnerID=8YFLogxK

U2 - 10.1007/s00202-018-0751-3

DO - 10.1007/s00202-018-0751-3

M3 - Article

VL - 101

SP - 3

EP - 9

JO - Electrical Engineering

JF - Electrical Engineering

SN - 0948-7921

IS - 1

ER -