使用双边Jacobi-Davidson计算大规模电力系统的关键模态

Li Chong-tao

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使用双边Jacobi-Davidson计算大规模电力系统的关键模态

更新时间：2025-08-13

- 使用双边Jacobi-Davidson计算大规模电力系统的关键模态
- Automation of Electric Power Systems Vol. 36, Issue 12, Pages: 7-10(2012)
- 作者机构：
  
  西安交通大学电气工程学院
- 作者简介：
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- Published：2012
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Li Chong-tao. [J]. Automation of electric power systems, 2012, 36(12): 7-10.
DOI：

Li Chong-tao. [J]. Automation of electric power systems, 2012, 36(12): 7-10. DOI：

摘要

介绍了求取大规模的电力系统关键模态的双边Jacobi-Davidson（TSJD）方法。该方法具有灵活的特征值选择策略，而且在求得特征值的同时可以收敛到其左右特征向量，从而能够对所关心的模态直接进行分析。文中给出了该算法的计算流程，以及提高算法计算效率的措施。最后将该方法用于2940阶和29548阶电力系统状态矩阵进行测试，结果表明该方法是高效和可靠的，可以用于实际大规模系统的关键模态计算。

Abstract

This paper describes the two-sided Jacobi-Davidson (TSJD) method to compute the critical modes of large scale power systems. For the proposed method

the selection strategy of eigenvalues is flexible. It converges to right and left eigenvectors as well as eigenvalues which can be used directly for modes analysis. The flow of TSJD method is described and we also give measures to improve computing efficiency. TSJD method is applied to power system state matrices with orders of 2940 and 29548. The results show that TSJD is reliable and efficient. It can be used to compute critical modes of practical large scale power systems.

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