Space mapping techniques for the optimal inflow control of transmission lines
Space mapping techniques for the optimal inflow control of transmission lines
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DOI：
10.1080/10556788.2016.1278542
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发表时间：
2018-01
影响因子：
2.2
通讯作者：
S. Göttlich;C. Teuber
中科院分区：
文献类型：
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作者：
S. Göttlich;C. Teuber
在本文中，我们提出了一种用于输电线路动态流入控制的有效优化方法。对于传输线的描述，有几种数学模型可用。在这里，我们重点研究由双曲微分方程耦合系统组成的电报网络方程。然后，优化是在边界控制方面找到最佳可能的能量输入，以满足给定的需求。为了解决这个问题，我们引入了基于先离散然后优化方法的空间映射技术。空间映射的思想是考虑两种模型层次（细尺度和粗尺度），其中粗尺度模型精度较低但易于求解。我们解释了该方法如何在流入控制框架中工作，设计相应的优化算法并提供各种计算结果以显示数值效率。
In this paper we present an efficient optimization approach for the dynamic inflow control of electric transmission lines. For the description of transmission lines several mathematical models are available. Here, we focus on the telegraph network equations which consist of a coupled system of hyperbolic differential equations. The optimization is then to find the best possible energy input in terms of boundary control to satisfy given demands. To solve this problem we introduce space mapping techniques based on a first discretize – then optimize approach. The idea of space mapping is the consideration of two model hierarchies (fine and coarse scale), where the coarse scale model is less accurate but easy to solve. We explain how this method works in the framework of inflow control, design the corresponding optimization algorithm and present various computational results to show the numerical efficiency.