Dynamical Modeling and Numerical Analysis for Fractional-Order Power Capacitor System

doi:10.7652/xjtuxb201408018

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Dynamical Modeling and Numerical Analysis for Fractional-Order Power Capacitor System

更新时间：2025-07-09

- Dynamical Modeling and Numerical Analysis for Fractional-Order Power Capacitor System
- Vol. 48, Issue 8, Pages: 104-108(2014)
- 作者机构：
  
  西安交通大学电气工程学院,西安,710049
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201408018
  CLC： TM461
- Online First：10 August 2014，
  
  Published：2014
- 稿件说明：
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Dynamical Modeling and Numerical Analysis for Fractional-Order Power Capacitor System[J]. 2014, 48(8): 104-108.
DOI：

Dynamical Modeling and Numerical Analysis for Fractional-Order Power Capacitor System[J]. 2014, 48(8): 104-108. DOI： 10.7652/xjtuxb201408018.

摘要

针对整数阶电力电容器绝缘设计中电场分布不均匀的问题

提出了一种分数阶电场优化模型。该模型基于分数阶微积分算子理论

设计了含10 kV并联电力电容器的分数阶链型等效分抗电路拓扑结构

进而采用ABM(Adams-Bashford-Moulton)预估校正算法对模型进行了频域转换。当分数阶阶次取0.1～0.9且最大误差分别为2 dB和3 dB时

通过数值模拟得到等效电路中电容内部各等效点的电位值。仿真结果表明

当确定了波特图的最大误差时

随着分数阶阶次的增加

电容内部的电场分布趋于均匀

各点电压的相位值在同一时间逐渐增大

并展现出良好的空间关联性。

Abstract

An optimized fractional-order electric field model is proposed to deal with non-uniform electric field distribution in integer-order form of power capacitor design. Following fractional derivative theory

the model for chain type fractional-order circuit topology containing a 10 kV parallel power capacitor is established. Then the frequency domain conversion is performed by Adams-Bashford-Moulton(ABM)predictor-corrector algorithm

the model is simplified and the potential distribution characteristics of fractional-order power capacitor is analyzed by adjusting the parameters. The potential internal capacitance in fractional equivalent circuit can be obtained by taking the fractional order within 0.1-0.9 and the maximum error as 2 dB and 3 dB respectively. The simulation result demonstrates that the electric field inside the capacitor tends to distribute uniformly and the voltage phase value at each point gradually increases as the maximum Bode plot error is determined and the fractional order is heightened.

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references

潘志文, 崔桂梅. 电力电容器的电容值测量及失效分析[J]. 物理测试, 2011, 29(6): 59-62.

PAN Zhiwen, CUI Guimei. Measurement of capacitor value and failure analysis of power capacitors[J]. Physics Examination and Testing, 2011, 29(6): 59-62.

韩长伟, 李晓军, 马丽荣, 等. 电力电容器元件内部的电场计算[J]. 电力电容器与无功补偿, 2009, 30(6): 22-30.

HAN Changwei, LI Xiaojun, MA Lirong, et al. Internal electric field calculation of power capacitor element[J]. Power Capacitor Reactive Power Compensation, 2009, 30(6): 22-30.

郭天兴, 吴俊丽, 张建平. 有限元法在标准电容器电场计算中的应用[J]. 电力电容器, 2004(1): 3-8.

GUO Tianxing, WU Junli, ZHANG Jianping. The application of finite element methods to electric field calculation in the standard capacitor[J]. Power Capacitor, 2004(1): 3-8.

徐文彬, 庄铭杰, 王德苗. 基于叉指结构的平面分形电容研究[J]. 集美大学学报: 自然科学版, 2010, 15(5): 389-393.

XU Wenbin, ZHUANG Mingjie, WANG Demiao. Fractal planar capacitors based on interdigital structures[J]. Journal of Jimei University: Natural Science, 2010, 15(5): 389-393.

刘崇新. 一个超混沌系统及其分数阶电路仿真实验[J]. 物理学报, 2007, 56(12): 6865-6874.

LIU Chongxin. A hyperchaotic system and its fractional order circuit simulation[J]. Acta Physica Sinica, 2007, 56(12): 6865-6874.

LIU Chongxin, LU Junjie. A novel fractional-order hyperchaotic system and its circuit realization[J]. International Journal of Modern Physics: B, 2010, 24(10): 1299-1307.

YU Simin, LU Jinhu, CHEN Guanrong, et al. Generating grid multiwing chaotic attractors by constructing heteroclinic loops into switching systems[J]. IEEE Transactions on Circuits and Systems: II Express Briefs, 2011, 58(5): 314-318.

LIU Ling, LIU Chongxin, ZHANG Yanbin. Experimental verification of a four-dimensional Chua's system and its fractional order chaotic attractors[J]. International Journal of Bifurcation and Chaos, 2009, 19(8): 2473-2486.

LIU Ling, LIU Chongxin, ZHANG Yanbin. Experimental confirmation of a modified Lorenz system[J]. Chinese Physics Letter, 2007, 24(10): 2756-2758.

SAMAVATI H, HAJIMIRI A, SHAHANI A R, et al. Fractal capacitors[J]. IEEE Journal of Sold-State Circuits, 1998, 33(12): 2035-2041.

WESTERLUND S. Capacitor theory[J]. IEEE Trans Dielectrics Electron Insulation, 1994, 1(5): 826-829.

JESUS S I, MACHADO T J. Development of fractional order capacitors based on electrolyte processes[J]. Nonlinear Dynamics, 2009, 56(2): 45-55.

CHAREF A, SUN H H, TSAO Y Y, et al. Fractal system as represented by singularity function[J]. IEEE Transactions on Automatic Control, 1992, 37(9): 1465-1470.

AHMAD W M, SPROTT J C. Chaos in fractional-order autonomous nonlinear system[J]. Chaos, Solitons and Fractals, 2003, 16: 339-351.

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