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On the Convergence of Newton's Method in Power Flow Studies for DC Microgrids
Ist Teil von
IEEE transactions on power systems, 2018-09, Vol.33 (5), p.5770-5777
Ort / Verlag
New York: IEEE
Erscheinungsjahr
2018
Quelle
IEEE Xplore
Beschreibungen/Notizen
The power flow is a nonlinear problem that requires a Newton's method to be solved in dc microgrids with constant power terminals. This paper presents sufficient conditions for the quadratic convergence of the Newton's method in this type of grids. The classic Newton's method as well as an approximated Newton's method are analyzed in both master-slave and island operation with droop controls. Requirements for the convergence as well as for the existence and uniqueness of the solution starting from voltages close to 1 pu are presented. Computational results complement this theoretical analysis.