| 引用本文: | 刘 畅,崔 惟,王克文.小干扰稳定分析中特定模式降阶法的快速实现[J].电力自动化设备,2013,33(8): |
| LIU Chang,CUI Wei,WANG Kewen.Fast realization of special mode order reduction in small signal stability analysis[J].Electric Power Automation Equipment,2013,33(8): |
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| 摘要: |
| 对特定模式降阶法进行改进以提高计算速度。在降阶过程中，采用共享保留机组的方法来减少确定保留状态变量的计算量；在复矩阵运算的实数化表达基础上，对外迭代算式矩阵结构进行调整，改善对角元的数值大小，从而可直接采用顺序消去法形成因子表，实现复矩阵的快速求逆；内层迭代中将顺序消去和主元消去相结合，兼顾计算速度和精度2个因素；三元组压缩的矩阵存储方式保证了矩阵运算的稀疏处理；通过引入OpenMP编程接口的计算功能，实现多核微机上对降阶模式的并行计算。70机和105机算例验证了理论分析的正确性。 |
| 关键词: 电力系统 稳定性 振荡模式 稀疏技术 并行计算 |
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| Fast realization of special mode order reduction in small signal stability analysis |
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LIU Chang, CUI Wei, WANG Kewen
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School of Electrical Engineering，Zhengzhou University，Zhengzhou 450001，China
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| Abstract: |
| The method of special mode order reduction is improved to increase its calculation speed. During the process of order reduction，the retained generators are shared to reduce the computation load for determining the retained state variables. Based on the realification expression of complex matrix，the matrix structure in the outer iteration expression is adjusted to improve the absolute values of diagonal elements，by which，the sequence elimination approach can be directly used to form the factor table for realizing the fast inverse of complex matrix. With the consideration of both computation time and precision，the sequence elimination approach and the pivoting elimination approach are combined in the inner iteration process. Only the non-zero elements with their row and column numbers are stored to ensure the sparse processing in matrix operation. The parallel computation function of OpenMP technique is introduced for the parallel calculation of order reduction mode on multi-core computer. Case study for 70-machine and 105-machine verifies the correctness of theoretic analysis. |
| Key words: electric power systems stability oscillation mode sparse technique parallel computation |
