| 引用本文: | 吕智林,杨再学,王先齐.基于曲率半径及两分搜索法的改进延拓法[J].电力自动化设备,2018,(3): |
| Lü Zhilin,YANG Zaixue,WANG Xianqi.Improved continuation method based on curvature radius and bisection-search method[J].Electric Power Automation Equipment,2018,(3): |
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| 摘要: |
| 传统延拓法追踪电力系统平衡解流形存在局部失真严重和搜索分岔点计算量大、精度低的问题。针对这些问题，提出一种基于曲率半径及两分搜索法的改进延拓法。基于曲率半径的改进不仅在弯曲程度高的区域使平衡解流形的失真程度较小，而且在平坦区域具有较高的追踪速度；基于两分搜索法的改进简化了分岔点的搜索步骤、减小了计算量、提高了精度。以典型三节点电力系统为例进行数值仿真实验，先应用自动改变同伦的算法从任意点获取平衡解流形起始点，再从不同的起始点追踪到多条纯数学理论下的平衡解流形，接着使用两分搜索法搜索平衡解流形上的分岔点，最后将所得结果与Matcont软件包、传统延拓法求解结果的对比分析，验证了所提方法的正确性和有效性。 |
| 关键词: 延拓法 平衡解流形 分岔点 曲率半径 两分搜索法 电力系统 |
| DOI：10.16081/j.issn.1006-6047.2018.03.017 |
| 分类号:TM761 |
| 基金项目:国家自然科学基金资助项目(61364027) |
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| Improved continuation method based on curvature radius and bisection-search method |
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Lü Zhilin, YANG Zaixue, WANG Xianqi
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College of Electrical Engineering, Guangxi University, Nanning 530004, China
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| Abstract: |
| There exist problems in tracking the ESM(Equilibrium Solution Manifold) of power system by the traditional continuation method, i. e.,serious local distortion, large computational amount and low precision in searching the bifurcation points. In order to address these issues, an improved continuation method based on curvature radius and bisection-search method is proposed. The improvement based on curvature radius makes ESM have low distortion degree in high-bending area and fast tracking speed in flat area, while the improvement based on bisection-search method simplifies the searching steps of bifurcation point, reduces the calculation amount and improves the accuracy. A typical three-bus power system is taken as an example for numerical simulation experiment. Firstly, the automatic homotopy method is adopted to obtain the start point of ESM from arbitrary points. Secondly, the multiple ESM curves under pure mathematical theory are tracked down from different start points, and then, the bisection-search method is adopted to search the bifurcation points of the ESM. Finally, the correctness and effectiveness of the proposed method are verified by the comparison of the results obtained by Matcont software package and traditional continuation method. |
| Key words: continuation method equilibrium solution manifold bifurcation point curvature radius bisection-search method electric power systems |
