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Analog circuits and Port-Hamiltonian realizability issues: a resolution method for simulations via equivalent components

机译:模拟电路和哈密尔顿港可实现性问题:一种通过等效组件进行仿真的解决方法

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In order to simulate the Ondes Martenot, a classic electronic musical instrument, we aim to model its circuit using Port-Hamiltonian Systems (PHS). PHS have proven to be a powerful formalism to provide models of analog electronic circuits for audio applications, as they guarantee the stability of simulations, even in the case of non-linear systems. However, some systems cannot be converted directly into PHS because their architecture cause what are called realizability conflicts. The Ondes Marlenol circuit is one of those systems. In this paper, a method is introduced to resolve such conflicts automatically: problematic components arc replaced by equivalent components without altering the overall structure nor the content of the modeled physical system.
机译:为了模拟经典电子乐器Ondes Martenot,我们旨在使用Port-Hamiltonian Systems(PHS)对其电路进行建模。 PHS已被证明是强大的形式主义,可为音频应用提供模拟电子电路模型,因为它们即使在非线性系统中也能保证仿真的稳定性。但是,某些系统不能直接转换为PHS,因为它们的体系结构会导致所谓的可实现性冲突。 Ondes Marlenol电路就是其中之一。本文介绍了一种自动解决此类冲突的方法:将有问题的组件替换为等效组件,而无需更改整体结构或建模物理系统的内容。

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