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非线性RLC电路的频响特性与稳定性分析

唐利 高永毅 唐果

太赫兹科学与电子信息学报Issue(4):632-637,6.
太赫兹科学与电子信息学报Issue(4):632-637,6.DOI:10.11805/TKYDA201404.0632

非线性RLC电路的频响特性与稳定性分析

Analysis of frequency response and stability of periodic solution about RLC series circuit with inductance nonlinearity

唐利 1高永毅 1唐果2

作者信息

  • 1. 湖南科技大学物理学院与电子科学学院,湖南 湘潭 411201
  • 2. 湖南科技大学数学与计算科学学院,湖南 湘潭 411201
  • 折叠

摘要

Abstract

A-nonlinear-dynamical-equation-of-the-RLC-series-circuit-with-inductance-nonlinearity-is-established.-The-frequency-response-equation-of-the-RLC-series-circuit-with-inductance-nonlinearity-is-derived,-and-the-jumping-and-hysteresis-of-frequency-response-characteristics-curve-are-studied,-as-well-as-the-condition-under-which-the-resonance-phenomenon-does-not-emerge.-The-stability-of-periodic-solution-of-this-circuit-is-analyzed-by-using-the-method-of-harmonic-balance,-and-the-boundary-equation-of-steady-region-and-instability-region-is-obtained.-The-influence-of-nonlinear-factors-on-the-RLC-series-circuit-is-discussed.-The-condition-of-ignoring-inductance-nonlinear-factors-on-the-RLC-series-circuit-is-acquired.

关键词

电感非线性/RLC串联电路/频率响应特性/周期解/稳定性

Key words

inductance nonlinearity/RLC series circuit/frequency response characteristics/periodic solution/stability

分类

信息技术与安全科学

引用本文复制引用

唐利,高永毅,唐果..非线性RLC电路的频响特性与稳定性分析[J].太赫兹科学与电子信息学报,2014,(4):632-637,6.

太赫兹科学与电子信息学报

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