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Frequency Coupling Matrix of a Voltage-Source Converter Derived From Piecewise Linear Differential Equations

机译:由分段线性微分方程推导的电压源变换器的频率耦合矩阵

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摘要

When a power-electronic converter is introduced into a linear network, voltage and current harmonics of differing orders become coupled (through the modulation effect of the converter). The interharmonic coupling introduced by the modulation effect of a converter may be mathematically represented through a frequency coupling matrix (FCM). Given that the source of the coupling is a modulation process, researchers have, in the past, focused on deriving the FCM in the frequency domain—a process that requires the truncation of the harmonic representation of signals. This paper presents an alternate approach to evaluate the FCM based on a time-domain derivation. In contrast to frequency-domain-based methods, it is shown that the time-domain approach avoids truncation. Furthermore, the time-domain approach does not require system linearization about an operating point; thus, the FCM is not limited by small-signal assumptions.
机译:当将功率电子转换器引入线性网络时,不同阶次的电压和电流谐波会耦合(通过转换器的调制效应)。通过转换器的调制效应引入的间谐波耦合可以通过频率耦合矩阵(FCM)在数学上表示。考虑到耦合的源头是调制过程,研究人员过去一直专注于在频域中推导FCM,这一过程需要截断信号的谐波表示。本文提出了一种基于时域推导评估FCM的替代方法。与基于频域的方法相比,已表明时域方法避免了截断。此外,时域方法不需要关于工作点的系统线性化;因此,FCM不受小信号假设的限制。

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