Jing Li, Boyang Zhao, Shenquan Liu, 等. A Novel Harmonic State-space Modelling Method on the Modular Multilevel Matrix Converter and Coupling Analysis[J]. 中国电机工程学会电力与能源系统学报(英文), 2025,11(1):78-90.
Jing Li, Boyang Zhao, Shenquan Liu, et al. A Novel Harmonic State-space Modelling Method on the Modular Multilevel Matrix Converter and Coupling Analysis[J]. CSEE Journal of Power and Energy Systems, 2025, 11(1): 78-90.
Jing Li, Boyang Zhao, Shenquan Liu, 等. A Novel Harmonic State-space Modelling Method on the Modular Multilevel Matrix Converter and Coupling Analysis[J]. 中国电机工程学会电力与能源系统学报(英文), 2025,11(1):78-90. DOI: 10.17775/CSEEJPES.2024.00370.
Jing Li, Boyang Zhao, Shenquan Liu, et al. A Novel Harmonic State-space Modelling Method on the Modular Multilevel Matrix Converter and Coupling Analysis[J]. CSEE Journal of Power and Energy Systems, 2025, 11(1): 78-90. DOI: 10.17775/CSEEJPES.2024.00370.
A Novel Harmonic State-space Modelling Method on the Modular Multilevel Matrix Converter and Coupling Analysis
The fractional frequency transmission system is an emerging technology for long-distance wind power integration
and the modular multilevel matrix converter (M<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3C) is the keen equipment. Since the M<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3C directly connects two ac grids with different frequencies
the external and internal harmonics have complex coupling relationships with a unique dual-fundamental-frequency spectrum
which has not been properly investigated due to a lack of an effective method. To address this issue
a novel harmonic state-space method is proposed to achieve comprehensive modelling of the harmonic dynamics of the M<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3C. Based on the principle of two-dimensional Fourier transform
the decomposition of the dual-fundamental-frequency harmonics is realized
and the multiplicative coupling between time-domain variables is modelled through double-layer convolution on the frequency domain. Besides
the general expression of the proposed method is provided
which highlights a modularized matrix with easy scalability to meet different truncation requirements. Then
the HSS model of M<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3C considering the close-loop control is established
based on which a panoramic harmonic coupling relationship between the system- and the low-frequency side is concluded. Finally
the M<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3C model and harmonic coupling relationship are validated by simulation tests conducted in MATLAB/Simulink environment.