Analysis on Ferroresonance Chaotic System Based on Fractional Calculus Transformer Model

ZHANG Xunkang; LIANG Hao; WANG Jiaotong; HAN Yuchao

doi:10.13296/j.1001-1609.hva.2017.12.033

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Analysis on Ferroresonance Chaotic System Based on Fractional Calculus Transformer Model

更新时间：2025-04-26

- Analysis on Ferroresonance Chaotic System Based on Fractional Calculus Transformer Model
- High VoltageApparatus Vol. 53, Issue 12, Pages: 202-207(2017)
- 作者机构：
  
  1. 国网安康供电公司
  2. 西安理工大学
- 作者简介：
- 基金信息：
- DOI：10.13296/j.1001-1609.hva.2017.12.033
  CLC： TM864
- Published：2017
- 稿件说明：
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[1]张勋康,梁昊,王交通,韩宇超.基于分数阶微积分变压器模型的铁磁谐振混沌系统分析[J].高压电器,2017,53(12):202-207.

ZHANG Xunkang, LIANG Hao, WANG Jiaotong, et al. Analysis on Ferroresonance Chaotic System Based on Fractional Calculus Transformer Model[J]. High voltageapparatus, 2017, 53(12): 202-207.
[1]张勋康,梁昊,王交通,韩宇超.基于分数阶微积分变压器模型的铁磁谐振混沌系统分析[J].高压电器,2017,53(12):202-207. DOI： 10.13296/j.1001-1609.hva.2017.12.033.

ZHANG Xunkang, LIANG Hao, WANG Jiaotong, et al. Analysis on Ferroresonance Chaotic System Based on Fractional Calculus Transformer Model[J]. High voltageapparatus, 2017, 53(12): 202-207. DOI： 10.13296/j.1001-1609.hva.2017.12.033.

摘要

铁磁谐振是一种复杂的电力系统故障

短时间内能造成电力系统设备过电压烧毁

由于小水电的特性

其接入可造成局部电力系统的谐振现象。为了研究铁磁谐振的触发条件以及其表现

需要获取精确的模型

而分数阶微积分在此具有无可比拟的优势。通过分数阶微积分建立了分数阶铁磁谐振模型

利用混沌理论对其非线性动力学行为进行分析

利用模拟电路仿真证明了混沌的真实存在性

文中结果证明铁磁谐振线路在特定参数下会进入混沌状态

对电力系统产生巨大威胁

具有实际意义。

Abstract

Ferroresonance is a complex power system fault

which may induce overvoltage on electric equipment in a short time to damage the equipment.In order to understand the producing condition of the ferroresonance

an accurate model is needed.Fractional calculus is superior in obtaining the model.In this paper

a fractional-order ferroresonance model is established by using fractional calculus

and its nonlinear dynamic behavior is analyzed by using chaos theory.And the existence of chaos is proved by circuit simulation.It is concluded that ferroresonance circuit will get to chaotic state under specific parameters to heavily harm the power system.

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Related Institution

西安交通大学陕西西安710049

Xi’an Jiaotong University

西安交通大学电气工程学院陕西西安710049

School of Electrical Engineering,Xi’an Jiaotong University

武汉大学电气工程学院湖北武汉430072

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