Modified tensor method to power flow analysis

Abstract

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.