On a comparison of Newton-Raphson solvers for power flow problems

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:360

Article

Sereeter, Baljinnyam¹  Vuik, Cornelis¹  Witteveen, Cees¹ 

[1] Delft Univ Technol, Fac Elect Engn Math & Comp Sci, Mekelweg 4, NL-2628 CD Delft, Netherlands

关键词: Power flow analysis;    Newton-Raphson method;    Power mismatch;    Current mismatch;    Polar;    Cartesian;   

DOI  :  10.1016/j.cam.2019.04.007

来源: Elsevier

【 摘 要 】

A general framework is given for applying the Newton-Raphson method to solve power flow problems, using power and current-mismatch functions in polar, Cartesian coordinates and complex form. These two mismatch functions and three coordinates, result in six possible ways to apply the Newton-Raphson method for the solution of power flow problems. We present a theoretical framework to analyze these variants for load (PQ) buses and generator (PV) buses. Furthermore, we compare newly developed versions in this paper with existing variants of the Newton power flow method. The convergence behavior of all methods is investigated by numerical experiments on transmission and distribution networks. We conclude that variants using the polar current-mismatch and Cartesian current-mismatch functions that are developed in this paper, performed the best result for both distribution and transmission networks. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

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