【摘要】：RLC并聯(lián)電路是一種非常重要的單元電路,本文嘗試著系統(tǒng)地分析和總結(jié)分?jǐn)?shù)階RLαCβ并聯(lián)電路的基本特征和規(guī)律.對比整數(shù)階RLC并聯(lián)電路,電感的分?jǐn)?shù)階階次α和電容的分?jǐn)?shù)階階次β作為兩個新的關(guān)鍵參數(shù),使得分?jǐn)?shù)階RLαCβ并聯(lián)電路在設(shè)計上有了更多自由度、更大的柔性和新意.同時,它們的引入也增加了許多新的現(xiàn)象和規(guī)律.本文首先分析了分?jǐn)?shù)階RLαCβ并聯(lián)電路的兩個基本特性:導(dǎo)納和相位.進(jìn)而分析了分?jǐn)?shù)階條件下分?jǐn)?shù)階RLαCβ并聯(lián)電路所特有的純虛阻抗的問題.并且,分析了LC電路中特有的現(xiàn)象之一——諧振,和五個參數(shù)對諧振的影響.進(jìn)一步地,阻抗和相位關(guān)于各參數(shù)的敏感性分析也得到了詳細(xì)地研究.數(shù)值分析和理論分析兩者互相印證,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 偽 C 尾 parallel circuit. Compared with integer order RLC parallel circuit, fractional order 偽 of inductance and fractional order 尾 of capacitance are two new key parameters, which make fractional order RL 偽 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 偽 C 尾 parallel circuits: admittance and phase. Furthermore, the pure virtual impedance of fractional order RL 偽 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.
【作者單位】： 西北農(nóng)林科技大學(xué)水利與建筑工程學(xué)院電氣工程系;
【基金】：國家自然科學(xué)基金(批準(zhǔn)號:50879072) 國家高技術(shù)研究發(fā)展計劃(863計劃)(批準(zhǔn)號:2011BAD29B08) 中央高校基本科研業(yè)務(wù)費(批準(zhǔn)號:Z109021310) 國家級大學(xué)生創(chuàng)新實驗項目資助的課題~~
【分類號】：TM132

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本文編號：2440611