Critically coupled algorithms for solving the power flow equation

Abstract

Two new algorithms for solving the power flow equation are presented. The algorithms are modifications of the BX and XB algorithms, obtained by explicitly treating lines with high r/x ratios. An analytical justification of the algorithm is given together with test results comparing the performance of the new algorithms with that of the Newton algorithm, the constant Jacobian quasi-Newton algorithm and the BX and XB algorithms. The test results indicate that the new algorithms have greatly increased robustness properties over the BX and XB algorithms.<>