Open AccessModified tensor method to power flow analysis
Author(s) -
Santos Erika Pequeno,
Kobay Bruna,
Rosa Mauro Augusto,
Souza Salgado Roberto,
Issicaba Diego
Publication year - 2019
Publication title -
iet generation, transmission and distribution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.92
H-Index - 110
eISSN - 1751-8695
pISSN - 1751-8687
DOI - 10.1049/iet-gtd.2018.6187
Subject(s) - jacobian matrix and determinant , tensor (intrinsic definition) , robustness (evolution) , taylor series , mathematics , iterative method , newton's method , power flow , algorithm , electric power system , mathematical optimization , control theory (sociology) , computer science , mathematical analysis , power (physics) , geometry , physics , nonlinear system , artificial intelligence , quantum mechanics , gene , control (management) , biochemistry , chemistry
This study introduces a modified tensor‐based power flow method designed using complex voltages represented in their rectangular form. Tensor‐based methods employ the second‐order Taylor series expansion of the power flow equations to estimate a correction vector to be added to the iterative increments of the Newton–Raphson method. In the proposed approach, the estimation of the correction vector is improved by taking advantage of a relation between the Jacobian and tensor arrays and symmetries between matrix–vector products involving Jacobian matrices. Result analysis highlights the efficiency and robustness of the proposed method in comparison with the original tensor‐based approach using test systems and an actual system.