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Stationary-Frame Complex-Valued Frequency-Domain Modeling of Three-Phase Power Converters

By Yicheng Liao and Xiongfei Wang


The stationary-frame complex-valued frequency-domain modeling has been applied to characterize the frequency-coupling dynamics of three-phase converters. Yet, those models are generally derived through mathematical transformations of the linearized time-invariant models in the rotating dq -frame. A step-by-step modeling method with clear physical insight in the stationary frame is still missing. This article attempts to fill in the void by introducing a general stationary ( αβ )-frame, three-port equivalent circuit model for the converter power stage, based on the direct linearization around time-periodic trajectories. The model not only reveals the frequency-coupling effect of the ac–dc dynamic interaction but also provides an explicit theoretical basis for incorporating the control dynamics. Moreover, the dependence of the frequency-coupling terms on the initial phase of the input voltage is pointed out. Considering the phase-dependent feature, a frequency scan method that can accurately measure the αβ -frame converter model is proposed. The measured frequency responses in both the nonlinear time-domain simulations and experimental tests validate the effectiveness of the frequency scan method and the theoretical analysis

Topics: Complex vector, frequency coupling, impedance measurement, phase dependence, stationary(αβ)-frame model, voltage-source converter (VSC).
Publisher: 'Institute of Electrical and Electronics Engineers (IEEE)'
Year: 2020
DOI identifier: 10.1109/JESTPE.2019.2958938
OAI identifier:
Provided by: VBN

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