论文标题

非线性功率流程方程的差异转换

Differential Transformation of Nonlinear Power Flow Equations

论文作者

Liu, Yang, Sun, Kai

论文摘要

在我们最近的作品中,差异转换(DT)方法已显示出对电力系统模拟有希望的。该字母将DT方法应用于非线性功率流程方程,并证明非线性功率流程方程将转换为DT后正式线性方程。该字母进一步扩展了经典功率流公式中的恒定功率负载假设到更加通用和实用的ZIP负载假设,并证明DT后的线性方程仍适用于ZIP负载模型,并在系数矩阵上进行了轻微的修改。这些结果证明了DT方法在解决电力系统非线性问题方面的巨大潜力。

Differential transformation (DT) method has shown to be promising for power system simulation in our recent works. This letter applies the DT method to nonlinear power flow equations and proves that the nonlinear power flow equations are converted to formally linear equations after DT. This letter further extends the constant power load assumption in the classical power flow formulation to the more general and practical ZIP load assumption and proves that the linear equation after DT still holds for ZIP load model with slight modifications on the coefficient matrices. These results demonstrate great potential of the DT method in solving power system nonlinear problems.

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