| 引用本文: | 冷仕鹏,刘开培,冉晓洪,张嘉豪,张学志.考虑输入变量相关性的输电网区间潮流分析[J].电力自动化设备,2020,40(12): |
| LENG Shipeng,LIU Kaipei,RAN Xiaohong,ZHANG Jiahao,ZHANG Xuezhi.Interval power flow analysis of transmission network considering correlation of input variables[J].Electric Power Automation Equipment,2020,40(12): |
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| 摘要: |
| 在仿射算法的基础上，考虑电力系统中部分输入变量之间的相关性对区间潮流算法进行改进。构建以平行四边形模型为基础的区间相关性体系，建立考虑区间相关性的电力系统不确定潮流模型。考虑区间包络不够准确对区间潮流计算准确性的影响，提出一种基于凸多边形模型的区间潮流计算方法。利用仿射算法将传统的区间潮流迭代转化成一组非线性优化问题，通过凸多边形模型将区间变量之间的相关关系转换成一组新的约束条件，并利用优化算法对该非线性优化问题进行求解，得到一系列更窄的区间潮流解。2个输电网算例表明，所提方法不仅能够反映不同相关性水平对计算结果的影响，还能定量刻画区间包络准确程度对区间潮流的影响。 |
| 关键词: 仿射算法 区间潮流 区间相关性 凸多边形模型 潮流分析 |
| DOI：10.16081/j.epae.202010010 |
| 分类号:TM744 |
| 基金项目:湖北省自然科学基金资助项目(2017CFB521)；国家留学基金资助项目 |
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| Interval power flow analysis of transmission network considering correlation of input variables |
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LENG Shipeng1,2, LIU Kaipei1, RAN Xiaohong1, ZHANG Jiahao1, ZHANG Xuezhi1
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1.School of Electrical Engineering and Automation, Wuhan University, Wuhan 430072, China;2.Nanchang City Honggutan Electric Power Supply Company of State Grid Jiangxi Electric Power Company, Nanchang 330006, China
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| Abstract: |
| Based on affine algorithm, the interval power flow algorithm is improved considering the correlation between some input variables in power system. The interval correlation system based on parallelogram model is constructed, and the uncertain power flow model of power system considering interval correlation is established. Considering the influence of inaccurate interval envelope on the accuracy of interval power flow calculation, an interval power flow calculation method based on convex polygon model is proposed. The affine algorithm is used to transform the traditional interval power flow iteration into a set of nonlinear optimization problems, the correlation between interval variables is converted into a new set of constraints by the convex polygon model, and the optimization algorithm is adopted to solve the nonlinear optimization problems, by which a series of narrower interval power flow solutions are obtained. Two transmission network examples show that the proposed method can not only reflect the influence of different correlation levels on the calculative results, but also quantitatively describe the influence of the accuracy of interval envelope on the interval power flow. |
| Key words: affine algorithm interval power flow interval correlation convex polygon model power flow analysis |
