电工技术学报  2018, Vol. 33 Issue (4): 750-758    DOI: 10.19595/j.cnki.1000-6753.tces.161501
电力系统及其自动化 |
基于区间泰勒展开的不确定性潮流分析
廖小兵, 刘开培, 张亚超, 张志轩, 王坤
武汉大学电气工程学院 武汉 430072;
Uncertain Power Flow Analysis Based on Interval Taylor Expansion
Liao Xiaobing, Liu Kaipei, Zhang Yachao, Zhang Zhixuan, Wang Kun
School of Electrical Engineering Wuhan University Wuhan 430072 China;
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摘要 区间算法已经在电力系统不确定性潮流计算中得到了成功应用。然而,迭代法类的区间潮流计算方法由于将区间运算嵌入到了牛顿迭代过程中,使得区间潮流计算过程复杂、计算量大,为此提出基于区间泰勒展开的不确定性潮流计算方法。该方法在建立含区间变量潮流计算数学模型的基础上,利用区间泰勒展开将采用直角坐标系的区间潮流方程求解问题等价转化为三个确定性的代数方程组求解。算例测试结果表明了所提算法在计算精度上高于区间迭代法,与区间迭代法和蒙特卡洛法相比,可以获得良好的加速效果。
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廖小兵
刘开培
张亚超
张志轩
王坤
关键词 区间算法不确定性区间潮流区间泰勒展开加速效果    
Abstract:Interval arithmetic has been successfully applied to uncertain power flow analysis for power systems. However, interval power flow analysis methods based on the interval iterative method have embedded the interval computation into Newton iterative process, which makes complex calculation procedure and huge computational load. In this paper, the interval method based on interval Taylor expansion is proposed to solve the uncertain power flow problem. According to the established interval power flow mathematical model with interval variables, the solution of nonlinear algebraic equations with interval variables, which is defined in rectangular coordinate system, is equivalently transformed into three sets of certain equations by using interval Taylor expansion method. The test results show that the proposed method has higher computational accuracy than the interval iterative method. Compared with the interval iterative method and Monte Carlo simulation method, the proposed method can obtain a better acceleration effect.
Key wordsInterval arithmetic    uncertainty    interval power flow    interval Taylor expansion    acceleration effect   
收稿日期: 2016-09-18      出版日期: 2018-03-05
PACS: TM711  
基金资助:国家重点研发计划(2017YFB0903705)
作者简介: 廖小兵 男,1989年生,博士研究生,研究方向为新能源电力系统分析与控制。E-mail: lxbwhu@126.com;刘开培 男,1962年生,博士,教授,博士生导师,主要从事直流输电、电能质量分析与控制、电力信息融合系统、新能源与智能电网等方面的研究工作。E-mail: kpliu@whu.edu.cn(通信作者);
引用本文:   
廖小兵, 刘开培, 张亚超, 张志轩, 王坤. 基于区间泰勒展开的不确定性潮流分析[J]. 电工技术学报, 2018, 33(4): 750-758. Liao Xiaobing, Liu Kaipei, Zhang Yachao, Zhang Zhixuan, Wang Kun. Uncertain Power Flow Analysis Based on Interval Taylor Expansion. Transactions of China Electrotechnical Society, 2018, 33(4): 750-758.
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