Modelling and analysis of multicell converters using discrete time models
Modelling and analysis of multicell converters using discrete time models
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使用离散时间模型对多节转换器进行建模和分析
DOI：
10.1109/iscas.2006.1693046
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
L. Martínez
中科院分区：
文献类型：
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作者：
A. E. Aroudi;B. Robert;L. Martínez
文献中报道的用于预测电力电子电路非线性现象的离散时间模型的主要缺点是其复杂性，这使得它们在系统设计中的应用非常有限。近似离散时间模型的可用性既保留了精确模型的准确性，又使系统设计变得简单，这将为此类系统的控制设计提供新的视角。本文采用离散时间公式对高压用双单元DC-DC降压变换器进行了详细的分析研究。不同的工作模式是可能的，它们可以用一个统一的离散时间模型来建模。该系统考虑采用数字控制器。该控制器包括一个数字积分器形式的动态补偿器，用于输出变量调节。导出了一个精确描述系统动力学行为的电流递推方程形式的离散时间近似模型。该模型用于预测某些设计参数变化时的不稳定性。为了得到设计参数空间的稳定性边界，对特征多项式进行了Jury检验。数值模拟证实了理论预测
The main drawback of the discrete time models reported in the literature for predicting nonlinear phenomena in power electronic circuits is their complexity which make their use in system design very minted. The availability of approximated discrete time models that retain the accuracy of the exact model and at the same time makes the system design simple would give new perspectives in the control design of such systems. In this paper we give a detailed analytical study of a two-cell DC-DC buck converter for high voltage applications by using discrete time formulation. Different operating modes are possible and they can be modeled by a unified discrete time model. A digital controller is considered for the system. This controller includes a dynamic compensator in the form of digital integrator for the output variable regulation. An approximated discrete time model in the form of current recurrence equation which accurately describes the dynamical behavior of the system is derived. This model is use to predict instabilities when some design parameters are varied. The Jury test is applied to the characteristic polynomial in order to obtain boundary of stability in the design parameter space. Numerical simulations confirm the theoretical predictions