论文标题

基于差分转换的动态功率流量方法

A Dynamized Power Flow Method based on Differential Transformation

论文作者

Liu, Yang, Sun, Kai, Dong, Jiaojiao

论文摘要

本文提出了一种新的方法,用于通过加载参数的变化来解决和追踪功率流解决方案。与常规延续功率流量方法不同,该方法反复求解了静态AC功率流程方程,该方法通过在加载参数上添加一个微分方程将功率流模型扩展到虚拟的动态系统中。结果,原始的解决方案曲线跟踪问题将转换为解决重新计算动态系统的时域轨迹。提出了一种基于差异转换的非题算法,以分析以功率序列的形式来分析上述动态模型。本文证明,时间域中的非线性功率流程方程将转换为差分转换后功率系列顺序的域的正式线性方程,从而避免了数值迭代。关于包括2383个布斯系统在内的多个测试系统的案例研究显示了该方法的优点。

This paper proposes a novel method for solving and tracing power flow solutions with changes of a loading parameter. Different from the conventional continuation power flow method, which repeatedly solves static AC power flow equations, the proposed method extends the power flow model into a fictitious dynamic system by adding a differential equation on the loading parameter. As a result, the original solution curve tracing problem is converted to solving the time domain trajectories of the reformulated dynamic system. A non-iterative algorithm based on differential transformation is proposed to analytically solve the aforementioned dynamized model in form of power series of time. This paper proves that the nonlinear power flow equations in the time domain are converted to formally linear equations in the domain of the power series order after the differential transformation, thus avoiding numerical iterations. Case studies on several test systems including a 2383-bus system show the merits of the proposed method.

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