分数阶并联RL_αC_β电路

发布时间：2019-03-15 12:11

【摘要】：RLC并联电路是一种非常重要的单元电路,本文尝试着系统地分析和总结分数阶RLαCβ并联电路的基本特征和规律.对比整数阶RLC并联电路,电感的分数阶阶次α和电容的分数阶阶次β作为两个新的关键参数,使得分数阶RLαCβ并联电路在设计上有了更多自由度、更大的柔性和新意.同时,它们的引入也增加了许多新的现象和规律.本文首先分析了分数阶RLαCβ并联电路的两个基本特性:导纳和相位.进而分析了分数阶条件下分数阶RLαCβ并联电路所特有的纯虚阻抗的问题.并且,分析了LC电路中特有的现象之一——谐振,和五个参数对谐振的影响.进一步地,阻抗和相位关于各参数的敏感性分析也得到了详细地研究.数值分析和理论分析两者互相印证,彼此支持.
[Abstract]:RLC parallel circuit is a very important unit circuit. This paper attempts to systematically analyze and summarize the basic characteristics and rules of fractional order RL 伪 C 尾 parallel circuit. Compared with integer order RLC parallel circuit, fractional order 伪 of inductance and fractional order 尾 of capacitance are two new key parameters, which make fractional order RL 伪 C 尾 parallel circuit have more degrees of freedom, greater flexibility and novelty in design. At the same time, their introduction has also added a lot of new phenomena and rules. In this paper, we first analyze two basic characteristics of fractional order RL 伪 C 尾 parallel circuits: admittance and phase. Furthermore, the pure virtual impedance of fractional order RL 伪 C 尾 parallel circuit is analyzed. The resonance, which is one of the special phenomena in the LC circuit, and the influence of the five parameters on the resonance are also analyzed. Furthermore, the sensitivity analysis of impedance and phase to each parameter is also studied in detail. Numerical analysis and theoretical analysis confirm each other and support each other.
【作者单位】：西北农林科技大学水利与建筑工程学院电气工程系;
【基金】：国家自然科学基金(批准号:50879072) 国家高技术研究发展计划(863计划)(批准号:2011BAD29B08) 中央高校基本科研业务费(批准号:Z109021310) 国家级大学生创新实验项目资助的课题~~
【分类号】：TM132

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