In this letter, a compressed Newton-Raphson (CNR) method is presented to achieve a high efficient and fast convergent result of power flow analysis of general DC traction network (DCTN). Due to CNR method, the higher-order Jacobian matrix of power flow equation is compressed as a 2-by-2 matrix, which can be calculated by the automatic differentiation technique. As a result, the proposed method has a quadratic convergent speed and a linear computational complexity of every iteration simultaneously. Under ill condition, a high precision solution of power flow equation also can be obtained by CNR method. Finally, the numerical simulation shows the effectiveness and advantages of the proposed method.

中文翻译：

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直流牵引网潮流分析的压缩牛顿-拉夫逊法


在这封信中，提出了一种压缩牛顿拉夫森（CNR）方法，以实现通用直流牵引网（DCTN）潮流分析的高效、快速收敛结果。 CNR方法将潮流方程的高阶雅可比矩阵压缩为2×2矩阵，可以通过自动微分技术进行计算。因此，该方法同时具有二次收敛速度和每次迭代的线性计算复杂度。在恶劣条件下，CNR方法也能得到潮流方程的高精度解。最后，数值模拟表明了该方法的有效性和优点。