On the Convergence of Newton's Method in Power Flow Studies for DC Microgrids
On the Convergence of Newton's Method in Power Flow Studies for DC Microgrids
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DOI：
10.1109/tpwrs.2018.2820430
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发表时间：
2018-09-01
影响因子：
6.6
通讯作者：
Garces, Alejandro
中科院分区：
文献类型：
--
作者：
Garces, Alejandro
功率流是一个非线性问题，在具有恒功率终端的直流微电网中需要使用牛顿法来求解。本文提出了牛顿法在此类网格中二次收敛的充分条件。在具有下垂控制的主从操作和孤岛操作中分析了经典牛顿法和近似牛顿法。提出了从接近 1 pu 的电压开始收敛的要求以及解的存在性和唯一性。计算结果补充了这一理论分析。
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.