Abstract
This work focuses on the solution of a set of algebraic nonlinear equations representing the steady state operation of electrical power systems. The classical modelling of the so-called power flow problem requires the statement of the power balance equations and the specification of some network variables. Usually Newton method is applied to solve these equations, which requires the solution of a linear system at each iteration. Here, the formulation of the power flow problem is modified by increasing the number of variables to be computed, such that an under-determined linear system is solved at each iteration. This strategy imparts flexibility to obtain solutions with respect to selected performance indexes. Numerical results obtained with test-systems ranging from 26 to 1916 equations and 30 to 2013 variables illustrate the main features of the proposed application.
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Souza Salgado, R.d., Moraes, G.R. Solving the Nonlinear Power Flow Problem Through General Solutions of Under-determined Linearised Systems. J Math Model Algor 14, 331–341 (2015). https://doi.org/10.1007/s10852-015-9273-4
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DOI: https://doi.org/10.1007/s10852-015-9273-4