Title :
The approximate expression of power flow jacobian matrix and analysis
Author :
Xu, Zhiyou ; Jia, Qingquan ; Li, Liu
Author_Institution :
Dept. of Electr. Eng., Shengyang Inst. of Eng., Shengyang, China
Abstract :
In order to evaluate the approximate expression of power flow Jacobian matrix, some indices are established according to the relation of singular values between the symmetric part and skew-symmetric part of power flow Jacobian matrix. The comparisons of indices not only include the comparisons of 2-norm and F-norm, but also include the comparisons of the weighted sum of singular values, these indices can also be applicable to complex matrix. The simulations on IEEE30 system show the effectiveness.
Keywords :
Jacobian matrices; reactive power; power flow Jacobian matrix; singular value decomposition; Difference equations; Eigenvalues and eigenfunctions; Jacobian matrices; Load flow; Matrix decomposition; Reactive power; Symmetric matrices; Voltage; (skew-)symmetric matrix; SVD(singular value decomposition); block Gerschgorin theorem; power flow Jacobian matrix; power system;
Conference_Titel :
Sustainable Power Generation and Supply, 2009. SUPERGEN '09. International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-4934-7
DOI :
10.1109/SUPERGEN.2009.5347967
