ABB模块 SCC-C23070-010132110 DCS模拟量输入模件

　　双有源桥 (DAB) 转换器包含交流和直流两种状态。因此，DAB 的状态空间平均建模是复杂的。在文献中，已经开发了几种 DAB 模型来重建 AC 状态。但是，全阶模型比降阶模型提供更好的准确性。基于频域的建模捕获转换器的总体行为，例如广义平均建模 (GAM) 或基于系列的解决方案。然而，随着模型中更多谐波的考虑，状态方程和状态矩阵的推导变得乏味。因此，它对考虑大信号模型中的谐波造成了限制。本文提出了一种用于 DAB 的谐波状态空间 (HSS) 建模框架，该框架克服了上述障碍，并根据其中包含的谐波数量准确地模拟了交流和直流状态。此处描述的建模框架适用于单、双和三相移调制方案。该建模框架提供了一种直接的方法并具有明确的结构，这在推导输入-输出关系时提供了灵活性和便利性。该框架基于复数形式的傅里叶级数。在这种建模技术中，两个重要的属性是 - 1) 每次依赖量都被包含其傅立叶系数的块矩阵替换。2) 将两个时间相关变量的乘法替换为一个变量的 Toeplitz 矩阵与另一个变量的傅立叶块矩阵的乘法。因此，状态空间矩阵的元素是块矩阵，系统的状态是傅立叶状态。由于 DAB 是 DC-DC 转换器，而感兴趣的量本质上是 DC，因此 DC 傅里叶系数足以直接获得随时间变化的 DC 量。导出和分析大信号和小信号模型，考虑多达 9 个每个状态的谐波次数。该模型通过在 MATLAB/Simulink 上执行的时域仿真得到验证。对 DAB 原型的实验研究也验证了该模型。

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　　The dual active bridge (DAB) converter contains both AC and DC states. Hence, state space average modeling of DAB is intricate. In the literature, several models of DAB have been developed to reconstruct the AC state. However, full order models provide better accuracy than reduced order models. Frequency domain based modeling captures the total behaviour of the converter such as generalized average modeling (GAM) or series-based solutions. However, with the consideration of more harmonics in the model, derivation of state equations and thus state matrices become tedious. Thus, it poses a limitation in the consideration of the harmonics in the large signal model. This paper proposes a harmonic state space (HSS) modeling framework for DAB that overcomes above obstacles and accurately models both the AC and DC states depending on the inclusion of the number of harmonics in it. The modeling framework described here is applicable to single, dual and triple phase shift modulation schemes. This modeling framework presents a straightforward approach and has a definite structure, which presents flexibility and ease in deriving the input-output relationship. This framework is based on complex form of Fourier series. In this modeling technique, two important properties are – 1) each time dependent quantities are replaced by block matrix containing its fourier coefficients. 2) multiplication of two time dependent variables are replaced by multiplication of Toeplitz matrix of one variable with Fourier block matrix of other variable. Thus the elements of the state space matrices are block matrices and the states of the system are Fourier states. Since the DAB is a DC-DC converter and the quantity of interest is DC in nature, DC Fourier coefficient is sufficient to obtain the time varying DC quantity directly. Both large signal and small signal models are derived and analyzed considering up to 9th harmonic order for each state. This model is validated by time domain simulation, performed on MATLAB/Simulink. Experimental investigations on a prototype of DAB also validate this model.