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首页> 外文期刊>Power Electronics, IET >Discrete-time simulation of a peak current controlled DC/DC buck converter using modal decomposition
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Discrete-time simulation of a peak current controlled DC/DC buck converter using modal decomposition

机译：使用模态分解的峰值电流控制DC / DC降压转换器的离散时间仿真

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摘要

This study presents an accurate and fast method for large-signal discrete-time simulation of current controlled DC/DC buck converter in continuous conduction mode. It employs modal decomposition of the state transition matrix for each topology, resulting in an exact and computationally efficient set of decoupled discrete-time state equations. This enables one to obtain an accurate solution for duty ratios iteratively, by equating the switching conditions of the state variables with state equations, which are non-linear in duty ratio. In the absence of a compensating ramp, an efficient way to compute duty ratios explicitly, without iteration, is also suggested. Subsequently, state variables are propagated through the ON and OFF periods, using the state equations exactly but without the need to compute a matrix exponential. This way numerical integration at multiple intermediate points between two switching instants of interest is avoided, which makes the simulation considerably faster, leading to significantly reduced storage requirement compared to common simulation methods, such as using SPICE. It is shown under different parametric conditions that the proposed method has superior accuracy over several approximate simulation methods proposed in the literature. The method can be generalised for other converter topologies, operational modes and control configurations with appropriate changes.
机译：这项研究为连续控制模式下的电流控制DC / DC降压转换器的大信号离散时间仿真提供了一种精确而快速的方法。它对每种拓扑结构都采用状态转换矩阵的模态分解，从而产生了一套精确且计算效率高的解耦离散时间状态方程组。通过将状态变量的切换条件与占空比成非线性的状态方程式等效，可以使人们迭代地获得占空比的精确解。在没有补偿斜坡的情况下，还提出了一种无需迭代即可明确计算占空比的有效方法。随后，状态变量将使用状态方程精确地传播到ON和OFF时段，而无需计算矩阵指数。这样，避免了在两个感兴趣的开关时刻之间的多个中间点进行数值积分，从而使模拟速度大大加快，与使用SPICE等常规模拟方法相比，大大降低了存储需求。结果表明，在不同的参数条件下，与文献中提出的几种近似仿真方法相比，该方法具有更高的精度。该方法可以推广到具有适当变化的其他转换器拓扑，操作模式和控制配置。

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