查询RLC电网络中“独立”全电容割集的算法研究 |
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引用本文: | 高国章,劳深.查询RLC电网络中“独立”全电容割集的算法研究[J].武汉水运工程学院学报,2012(1):134-136,140. |
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作者姓名: | 高国章 劳深 |
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作者单位: | [1]武汉理工大学能源与动力工程学院,武汉430063 [2]武汉理工大学国际教育学院,武汉430063 |
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基金项目: | 中央高校基本科研业务费专项资金项目资助(批准号:2010-IV-087) |
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摘 要: | 为了在F(z)上分析网络的结构性质,有必要分析网络状态方程系数矩阵A的特征根.在多元有理函数域F(z)上,A的特征根可能是"0"或者不相等的非常数根.根据电网络理论,若网络中含全电容割集和全电感回路结构,A将有"0"根,它对应于F(z)上的"0"根.在网络结构上,部分"0"根对应于全电容割集.对于一个任意的网络,详细讨论了利用计算机来查找电网络中"独立"的全电容割集这一类特殊结构的算法,并通过实例介绍了分析步骤.
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关 键 词: | 电网络 全电容割集 多元有理函数域 算法 环和 |
Research on Algorithms of Analyzing RLC Electrical Network Independent All-capacitor Cut-sets |
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Authors: | Gao Guozhang Lao Shen |
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Institution: | Gao Guozhang Lao Shen (School of Energy and Power Engineering, WUT ,Wuhan 430063, China) 1(School of International Education ,WuhanUniversity of Technology ,Wuhan 430074, China)2 |
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Abstract: | In order to study the structural properties of electrical network over F(z), it is necessary to analyze the coefficient matrix A of the state equations . In previous paper, author has proved that the characteristic roots of A are zeros or unequal non-constants. According to electrical theory, all-capaci- tor cut-set and all-inductor loop would cause zero eigenvalue. Author expatiates an algorithm on how to find the independent all-capacitor cut-set in electrical netwok with computer and uses an example to show the process. |
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Keywords: | electrical network all-capacitor cut-set the field of multi-parameters rational funetional- gorithm ring-sum |
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