High-frequency oscillation analysis and suppression strategy for M3C-based low-frequency transmission system of offshore wind power
Chen Pengwei1, Li Haojian1, Chen Jie1, Liu Zongye1, Xu Yunfei2
1. College of Automation Engineering Nanjing University of Aeronautics and Astronautics Nanjing 211106 China;
2. China Electric Power Research Institute (State Key Laboratory of Advanced Power Transmission Technology) Beijing 102209 China
The low-frequency transmission based on the modular multilevel matrix converter (M3C) demonstrates substantial potential for offshore wind power. As a typical multi-input multi-output system characterized by multiple control loops, the M3C exhibits a highly pronounced conflict between model complexity and accuracy. Furthermore, as a voltage-source converter, when operating under current vector control, the M3C presents negative resistance characteristics in the high-frequency domain, rendering it susceptible to high-frequency oscillations.
To address the mechanism analysis and suppression requirements of high-frequency oscillations in offshore wind power low-frequency transmission systems, this paper establishes an M3C four-port admittance model that facilitates system integration. A truncation-based order reduction method, constrained by preserving port self-admittance characteristics and described using the average Manhattan distance, is proposed. Subsequently, by integrating the single-machine equivalent output impedance of a direct-drive wind farm and a multi-segment π-type equivalent model of low-frequency submarine cables, the analysis focuses on potential high-frequency oscillations on the low-frequency side. Based on impedance intersection characteristics, high-frequency oscillations are classified into two typical frequency bands, and key parameters influencing these oscillations are identified. An additional control strategy based on a virtual resistance-inductance branch is proposed, along with a parameter design method considering the wide-range impedance distribution of wind farms. Finally, through MATLAB/Simulink time-domain simulation and hardware-in-the-loop experiment, the admittance modeling, high-frequency oscillation mechanism, and the robustness of proposed additional control strategy were verified.
The results of this paper are as follows: Firstly, the full-order M3C four-port admittance model is overly complex. Truncation-based order reduction via Manhattan distance is feasible for stability analysis and parameter design. Secondly, the coupling impedance between the wind farm and M3C is significantly smaller than the self-impedance, enabling the use of dq-axis amplitude-phase characteristics to analyze dominant instability mechanisms. Thirdly, in long-distance low-frequency transmission scenarios, the high-frequency impedance of the wind farm side is dominated by low-frequency submarine cables. Impedance mismatch with the M3C readily induces high-frequency oscillations.
Based on the above results, the conclusions of this paper are as follows: (1) The isolating effect of sub-module capacitors in the M3C results in weak coupling between the low-frequency side and the power-frequency side. When studying the stability of the low-frequency side or power-frequency side in an offshore wind power low-frequency transmission system, part of the coupling elements introduced by sub-module capacitors can be neglected to form a reduced-order admittance model. (2) Low-frequency submarine cables, M3C arm inductors, control parameters, and delays significantly affect high-frequency oscillations. Cable parameters most directly influence oscillation distribution, with shorter cables exacerbating stability issues. (3) The virtual resistance-inductance-based additional control effectively suppresses oscillations caused by low-frequency cables and control delays. Moreover, the parameter design takes into account the impedance distribution range of wind farms, endowing the strategies with enhanced robustness.
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