| 分数阶耦合电感的无源性 |
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| 引用本文： | 马龙,王璐,梁贵书. 分数阶耦合电感的无源性[J]. 科学技术与工程, 2021, 21(1): 165-172. DOI: 10.3969/j.issn.1671-1815.2021.01.023 |
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| 作者姓名： | 马龙 王璐 梁贵书 |
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| 作者单位： | 华北电力大学电力工程系,保定071003;华北电力大学科技学院,保定071051;华北电力大学电力工程系,保定071003 |
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| 基金项目： | 国家自然科学基金项目（面上项目，重点项目，重大项目），中央高校基金项目 |
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| 摘 要： | 分数阶耦合电感的提出进一步丰富和完善了已有的电路元件体系,开展该类分数阶元件的无源性研究将促进相关的电路分析和综合理论的发展.从频域角度入手,使用耗散矩阵的概念推导了分数阶耦合电感的无源性条件,并通过几个实例进行了说明.可以看到,整数阶耦合电感仅为分数阶耦合电感中较为特殊的一类;两者的无源性条件存在较大差异,前者无源时...
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| 关 键 词： | 分数阶微积分 分数阶耦合电感 无源条件 耗散矩阵 |
| 收稿时间： | 2019-07-18 |
| 修稿时间： | 2020-10-10 |
Study on Passivity of Fractional Mutual Inductors |
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| Ma Long,Wang Lu,Liang Guishu. Study on Passivity of Fractional Mutual Inductors[J]. Science Technology and Engineering, 2021, 21(1): 165-172. DOI: 10.3969/j.issn.1671-1815.2021.01.023 |
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| Authors: | Ma Long Wang Lu Liang Guishu |
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| Affiliation: | North China Electric Power University |
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| Abstract: | Fractional mutual inductor was proposed recently which can be further enrich and consummate the existing circuit element system, and in this paper the passivity of fractional mutual inductors is discussed by aids of the concept of dissipative matrix in frequency domain, and some examples are also demonstrated. It can be seen that the classical integer order mutual inductors are special cases of the fractional mutual inductors, and the passivity conditions for them have great differences. The results given in this paper will facilitate the development of corresponding circuit analysis and synthesis theory. |
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| Keywords: | fractional calculus fractional mutual inductor passivity conditions dissipative matrix |
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