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首页> 外文期刊>International review of electrical engineering >Power Flow Solutions by Newton-Raphson Method with Approximated Second-Order Term of Taylor Series
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Power Flow Solutions by Newton-Raphson Method with Approximated Second-Order Term of Taylor Series

机译：牛顿-拉夫森法潮流流解，具有泰勒级数的近似二阶项

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摘要

This paper presents a Newton-Raphson method with an approximated second-order term of the Taylor series for solving the power flow problem where the power flow equations are in polar form. The proposed method is to include the second-order derivative term of the Taylor series in the Newton-Raphson method and subsequently approximate it using the first-order differentiation of the central finite difference. To compare the proposed method's capability of finding a solution, it is compared with the Newton-Raphson method both in the polar form and rectangular form of power flow equations. The proposed method and the comparative methods are applied to the ill-conditioned 13 bus, IEEE 14 bus and IEEE 30 bus systems. The results demonstrate that the proposed method is the only method that can satisfy in all systems and the ill-conditioned 13 bus systems with a high and highly reactive load at bus 11. While the Newton-Raphson method both in polar form and rectangular form can identify the solution in all systems, it cannot identify the solution in the ill-conditioned 13 bus with a highly reactive load at bus 11.
机译：本文提出了一种泰勒级数近似的二阶项的Newton-Raphson方法，用于解决潮流方程为极坐标形式的潮流问题。拟议的方法是将牛顿泰勒级数的二阶导数项包含在牛顿-拉夫森法中，然后使用中心有限差分的一阶微分对其进行近似。为了比较所提出的方法的求解能力，将其与潮流方程的极坐标形式和矩形形式与牛顿-拉夫森方法进行了比较。所提出的方法和比较方法被应用于病态的13总线，IEEE 14总线和IEEE 30总线系统。结果表明，所提出的方法是唯一可以满足所有系统以及病态严重的13总线系统（在11总线上具有高和高电抗性负载）的方法，而Newton-Raphson方法可以采用极坐标形式和矩形形式识别所有系统中的解决方案，它无法识别病态的13总线中的解决方案，总线11上的电抗性负载很高。

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