The approximate expression of power flow jacobian matrix and analysis
Zhiyou Xu, Qingquan Jia, Liu Li
Abstract
Zhiyou Xu, Qingquan Jia, Liu Li
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.
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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.
Key concepts: Jacobian matrix and determinant, Mathematics, Singular value, Expression (computer science), Matrix (chemical analysis), Norm (philosophy), Applied mathematics, Power flow