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首页> 外文期刊>Automatica >A dual relation between port-Hamiltonian systems and the Brayton-Moser equations for nonlinear switched RLC circuits
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A dual relation between port-Hamiltonian systems and the Brayton-Moser equations for nonlinear switched RLC circuits

机译：非线性切换RLC电路的Port-Hamiltonian系统与Brayton-Moser方程对偶关系

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In the last decades, several researchers have concentrated on the dynamic modeling of nonlinear electrical circuits from an energy-based perspective. A recent perspective is based on the concept of port-Hamiltonian (PH) systems. In this paper, we discuss the relations between the classical Brayton-Moser (BM) equations-stemming from the early sixties-and PH models for topologically complete nonlinear RLC circuits, with and without controllable switches. It will be shown that PH systems precisely dualize the BM equations, leading to possible advantages at the level of controller design. Consequently, useful and important properties of the one framework can be translated to the other. Control designs for the PH model cannot be directly implemented since they require observation of flux and charges, which are not directly available through standard sensors, while the BM models require only observation of currents and voltages. The introduced duality allows to pull back PH designs to the space of currents and voltages. This offers the possibility to exchange several different techniques, available in the literature, for modeling, analysis and controller design for RLC circuits. Illustrative examples are provided to emphasize the duality between both frameworks. (C) 2003 Elsevier Science Ltd. All rights reserved. [References: 16]
机译：在过去的几十年中，一些研究人员从基于能量的角度出发，致力于非线性电路的动态建模。最近的观点基于哈密尔顿港（PH）系统的概念。在本文中，我们讨论了从六十年代初期开始的经典Brayton-Moser（BM）方程和具有或不具有可控开关的拓扑完全非线性RLC电路的PH模型之间的关系。将显示PH系统精确地将BM方程对偶化，从而在控制器设计级别上带来可能的优势。因此，一个框架的有用和重要的属性可以转换为另一个。 PH模型的控制设计不能直接实现，因为它们需要观察通量和电荷，而这不能通过标准传感器直接获得，而BM模型仅需要观察电流和电压。引入的双重性允许将PH设计拉回到电流和电压的空间。这提供了交换文献中可用的几种不同技术以进行RLC电路的建模，分析和控制器设计的可能性。提供了说明性示例，以强调两个框架之间的双重性。 （C）2003 Elsevier ScienceLtd。保留所有权利。 [参考：16]

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