| 基于多级高阶辛Runge-Kutta方法的暂态稳定性并行计算方法 |
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| 引用本文： | 汪芳宗,何一帆.基于多级高阶辛Runge-Kutta方法的暂态稳定性并行计算方法[J].电力系统保护与控制,2011,39(11):22-26，32. |
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| 作者姓名： | 汪芳宗 何一帆 |
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| 作者单位： | 三峡大学电气与新能源学院，湖北 宜昌 443002 |
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| 摘 要： | 将 级 阶的辛Runnge-Kutta方法用于电力系统暂态稳定性计算，利用矩阵分裂技巧以及矩阵求逆运算的松弛方法，导出了一种新的暂态稳定性并行计算方法，具有较好的时间并行特性和超线性收敛性。利用IEEE 145节点系统，对导出的并行算法进行了仿真测试和评估。仿真测试结果表明，所提出的并行算法具有很好的收敛性，有效地解决了时间并行度与收敛性之间的矛盾，可以获得较高的加速比和很好的并行计算效率。
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| 关 键 词： | 暂态稳定性 辛几何方法 并行算法 矩阵分裂 松弛牛顿法 |
Parallel computation of transient stability based on multi-level high-order symplectic Runge-Kutta method |
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| WANG Fang-zong,HE Yi-fan.Parallel computation of transient stability based on multi-level high-order symplectic Runge-Kutta method[J].Power System Protection and Control,2011,39(11):22-26，32. |
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| Authors: | WANG Fang-zong HE Yi-fan |
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| Affiliation: | WANG Fang-zong,HE Yi-fan(Electrical Engineering & Renewable Energy School,China Three Gorges University,Yichang 443002,China) |
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| Abstract: | In this paper,the s-stage 2s-order symplectic Runge-Kutta method is adopted for numerical calculation of power system transient stability.By an artful splitting of Jacobian matrix and using relaxation technique of matrix inverse,a new parallel algorithm for transient stability computation has been derived.The proposed algorithm is of complete parallel-in-time,and has super-linear convergence rate.For test,IEEE 145-bus power system is used,and through numerical simulation the proposed algorithm has been comp... |
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| Keywords: | transient stability symplectic geometry algorithm parallel algorithm matrix splitting relaxed Newton method |
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