| 统一混沌系统在电力系统中的应用 |
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| 引用本文： | 蔡明山.统一混沌系统在电力系统中的应用[J].吉林工学院学报,2005,26(1):38-41. |
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| 作者姓名： | 蔡明山 |
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| 作者单位： | 湖南文理学院电气工程系 湖南常德415000 |
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| 基金项目： | 教育部国家重点基金资助项目(02108) |
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| 摘 要： | 电力系统中的许多问题都可以转化为非线性方程组的求解问题，牛顿迭代法是重要的一维及多维的迭代技术，其迭代本身对初始点非常敏感。文中研究了统一混沌系统的特性．运用Matlab 7．0软件计算了最大Lyapunov指数。以统一混沌模型产生牛顿迭代的初始点．提出了基于统一混沌的牛顿迭代法求解非线性方程组的新方法。电力系统求解实例表明该方法的正确性与有效性。
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| 关 键 词： | 统一混沌系统 映射 电力系统 非线性方程组 |
| 文章编号： | 1006-2939(2005)01-0038-04 |
| 修稿时间： | 2004年7月18日 |
Unified chaotic system and research on its application in power system |
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| CAI Ming-shan.Unified chaotic system and research on its application in power system[J].Journal of Jilin Institute of Technology,2005,26(1):38-41. |
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| Authors: | CAI Ming-shan |
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| Abstract: | Many problems in the power system can be transformed into nonlinear equations. Newton (iterative) method is an important one dimensional and multi-dimensional techniquel, while the iterative process of which is very sensitive to the initial guess point. The characteristic of unified chaotic system is discussed and the largest Lyapunov exponent was calculated with Matlab 7.0 software. Based on (utilizing) the unified chaotic model to obtain initial points of Newton iteration method, a new method for solving sets of nonlinear equations is proposed. Applying this method to the practical examples in power system showed that the method is effective. |
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| Keywords: | unified chaotic system mapping power system nonlinear equations |
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