Absolute Stability Analysis Using the Liénard Equation: A Study Derived From Control of Fuel Cell Ultracapacitor Hybrids

Absolute Stability Analysis Using the Liénard Equation: A Study Derived From Control of Fuel Cell Ultracapacitor Hybrids
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使用 Liénard 方程进行绝对稳定性分析:源自燃料电池超级电容器混合动力控制的研究

DOI:
10.1115/1.4032318
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发表时间:
2016
期刊:
and Control
影响因子:
--
通讯作者:
Das, Tuhin
Das, Tuhin
中科院分区:
--
文献类型:
--
作者:
Nowak, William;Geiyer, Daniel;Das, Tuhin

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固体氧化物燃料电池(SOFC)中的负载跟随(Load-following)与用于能量存储的超级电容器混合,是指燃料电池的产生功率跟随可变功率需求的操作模式,从而在稳态下输送总需求功率。实现这种操作模式在动力系统和控制中提出了一系列丰富的问题。本文重点研究了负载跟踪、瞬态约束和未知非线性条件下的超级电容器荷电状态控制问题。该问题被推广到包含驱动器和驱动动态级联连接的设备的稳定,其中前者是非线性的,在很大程度上是未知的。闭环系统的稳定性研究作为一个Lur 'e问题,并通过基于能量的李雅普诺夫方程,但都施加保守的非线性条件。另一种方法的开发,其中的闭环动态制定为一类Liénard方程。相应的分析,这是基于Liénard方程的非线性特性,产生更明确的和更少的保守性稳定性准则。导致极限环的附加条件也来自,并揭示了分叉模式。所提出的方法的一般性表明适用于各种非线性系统。
Load-following in solid oxide fuel cells (SOFCs), hybridized with an ultracapacitor for energy storage, refers to an operating mode where the fuel cell's generated power follows the variable power demand, delivering the total demanded power at steady-state. Implementing this operating mode presents a rich set of problems in dynamical systems and control. This paper focuses on state-of-charge (SOC) control of the ultracapacitor during load-following, under transient constraints, and in the presence of an unknown nonlinearity. The problem is generalized to stabilization of a plant containing a cascaded connection of a driver and a driven dynamics, where the former is nonlinear and largely unknown. Closed-loop stability of the system is studied as a Lur'e problem and via energy-based Lyapunov equations, but both impose conservative conditions on the nonlinearity. An alternate approach is developed, where the closed-loop dynamics are formulated as a class of Liénard equations. The corresponding analysis, which is based on the nonlinear characteristics of the Liénard equation, yields more definitive and less conservative stability criteria. Additional conditions that lead to limit cycles are also derived, and a bifurcation pattern is revealed. The generality of the proposed approach indicates applicability to a variety of nonlinear systems.
基于蒸汽重整器的固体氧化物燃料电池系统的稳态和瞬态分析
DOI: 10.1115/1.3120269
发表时间: 2010
影响因子: --
作者:
Tuhin Das;S. Narayanan;R. Mukherjee
通讯作者: R. Mukherjee
DOI: 10.1109/pesw.2002.985024
发表时间: 2002
期刊: 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309)
影响因子: --
作者:
K. Sedghisigarchi;A. Feliachi
通讯作者: A. Feliachi
SOFC 系统中燃料利用控制的基于反馈的负载整形策略
DOI: 10.1109/acc.2009.5160551
发表时间: 2009
期刊: 2009 American Control Conference
影响因子: --
作者:
Tuhin Das;R. Weisman
通讯作者: R. Weisman