论文标题
分布电压曲线的非线性颂歌模型的耗散性
Dissipativity of nonlinear ODE model of distribution voltage profile
论文作者
论文摘要
在本文中，我们考虑了一个由直馈线组成的配电系统。非线性普通微分方程（ODE）模型用于描述馈线线上的电压分布曲线。首先，我们显示了与主动和反应力相对应的子系统的耗散性。我们还表明，这些子系统的耗散率与当前幅度平方给出的分布损失一致。此外，整个分配系统被分解为两个子系统，对应于电压振幅和相位。作为主要结果，我们根据分解证明了这些子系统的耗散性。作为对这些结果的物理解释，我们澄清说，与电压振幅和相位相关的现象是在典型的功率分布系统中诱导的，从耗散平等。最后，我们通过将主动和反应力的线性组合作为对照输入的线性组合来讨论分布损失的减少，该组合基于与电压振幅相对应的子系统的耗散速率。
In this paper, we consider a power distribution system consisting of a straight feeder line. A nonlinear ordinary differential equation (ODE) model is used to describe the voltage distribution profile over the feeder line. At first, we show the dissipativity of the subsystems corresponding to active and reactive powers. We also show that the dissipation rates of these subsystem coincide with the distribution loss given by a square of current amplitudes. Moreover, the entire distribution system is decomposed into two subsystems corresponding to voltage amplitude and phase. As a main result, we prove the dissipativity of these subsystems based on the decomposition. As a physical interpretation of these results, we clarify that the phenomena related to the gradients of the voltage amplitude and phase are induced in a typical power distribution system from the dissipation equalities. Finally, we discuss a reduction of distribution losses by injecting a linear combination of the active and reactive powers as a control input based on the dissipation rate of the subsystem corresponding to voltage amplitude.
