On Various High-Order Newton-Like Power Flow Methods for Well and Ill-Conditioned Cases
Fecha
2021-08
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MDPI
Resumen
Recently, the high-order Newton-like methods have gained popularity for solving power flow problems due to their simplicity, versatility and, in some cases, efficiency. In this context, recent research studied the applicability of the 4th order Jarrat’s method as applied to power flow calculation (PFC). Despite the 4th order of convergence of this technique, it is not competitive with the conventional solvers due to its very high computational cost. This paper addresses this issue by proposing two efficient modifications of the 4th order Jarrat’s method, which present the fourth and sixth order of convergence. In addition, continuous versions of the new proposals and the 4th order Jarrat’s method extend their applicability to ill-conditioned cases. Extensive results in multiple realistic power networks serve to sow the performance of the developed solvers. Results obtained in both well and ill-conditioned cases are promising.
Descripción
Palabras clave
Power-flow analysis, High-order Newton-like methods, 4th order Jarrat's method, Continuous Newton's method
Citación
Alharbi, T.; Tostado-Véliz, M.; Alrumayh, O.; Jurado, F. On Various High-Order Newton-Like Power Flow Methods for Well and Ill-Conditioned Cases. Mathematics 2021, 9, 2019. https://doi.org/10.3390/math9172019