徐政,张哲任
XU Zheng,ZHANG Zheren

• 1:浙江大学电气工程学院

摘要(Abstract)：

低频海底电缆输电技术在远海风电送出和海上风电场构网方面具有竞争优势,而M~3C(模块化多电平矩阵变流器)是低频输电技术的核心元件。针对M~3C的稳态特性与主回路参数设计展开研究,基于M~3C在αβ坐标系中的数学模型并依据控制器将M~3C环流抑制到零的条件,推导出各桥臂电流的表达式;基于开关函数法和逐次逼近法,推导出子模块电容电流集合平均值以及子模块电容电压集合平均值的解析表达式。并在此基础上,给出确定桥臂子模块数目的算法和设计子模块电容器电容值的公式。
Low-frequency submarine cable power transmission technology has competitive advantage in offshore wind power transmission and offshore wind farm network construction, and the modular multilevel matrix converter(M~3C) is the core component of low-frequency power transmission technology. This paper focuses on the steady-state characteristics and the design of main circuit parameters of the M~3C. Based on the mathematical model of the M~3C in the αβ coordinate system and the condition that the controller suppresses the M~3C circulating current to zero, this paper derives the expression of the arm current of the M~3C. Based on the switching function(SF) approach and the successive approximations method(SAM), this paper derives the analytical expressions of the set average value of the sub-module capacitor current and the set average value of the sub-module capacitor voltage of the M~3C. On this basis, the algorithm for determining the number of sub-modules of the arm and the formula for designing the capacitance value of the sub-module are given.

关键词(KeyWords)： 低频输电;M~3C;环流;开关函数;主回路参数
low-frequency transmission;M~3C;circulating current;switching function;main circuit parameter

Abstract:

Keywords:

基金项目(Foundation):

作者(Author): 徐政,张哲任
XU Zheng,ZHANG Zheren

DOI: 10.19585/j.zjdl.202110003

参考文献(References)：

• [1]FAN B R,WANG K,WHEELER P,et al.A branch current reallocation based energy balancing strategy for the modular multilevel matrix converter operating around equal frequency[J].IEEE Transactions on Power Electronics,2018,33(2):1105-1117.
• [2]KARWATZKI D,MERTENS A.Generalized control approach for a class of modular multilevel converter topologies[J].IEEE Transactions on Power Electronics,2018,33(4):2888-2900.
• [3]OU Z J,WANG G Z,ZHANG L H.Modular multilevel converter control strategy based on arm current control under unbalanced grid condition[J].IEEE Transactions on Power Electronics,2018,33(5):3826-3836.
• [4]FAN B R,WANG K,WHEELER P,et al.An optimal full frequency control strategy for the modular multilevel matrix converter based on predictive control[J].IEEE Transactions on Power Electronics,2018,33(8):6608-6621.
• [5]LIU S Q,SAEEDIFARD M,MANG X F.Analysis and control of the modular multilevel matrix converter under un balanced grid conditions[J].IEEE Journal of Emerging and Selected Topics in Power Electronics,2018,6(4):1979-1989.
• [6]李遥，许烈，李永东.模块化多电平矩阵变换器开关次数最优的拓扑连接策略[J].电工技术学报，2018,33(2):342-352.
• [7]刘健.模块化多电平矩阵变换器的控制策略研究[D].杭州：浙江大学，2019.
• [8]黄明煌，王秀丽，刘沈全，等.分频输电应用于深远海风电并网的技术经济性分析[J].电力系统自动化，2019,43(5):167-174.
• [9]YAO W X,LIU J,LU Z Y.Distributed control for the modular multilevel matrix converter[J].IEEE Transactions on Power Electronics,2019,34(4):3775-3788.
• [10]DIAZ M,CARDANAS R,ESPINOZA M,et al.Vector control of a modular multilevel matrix converter operating over the full output-frequency range[J].IEEE Transactions on Industrial Electronics,2019,66(7):5102-5114.
• [11]LIU S Q,SAEEDIFARD M,MANG X F,et al.A current reallocation strategy to attenuate the peak arm current of the modular multilevel matrix converter[J].IEEE Journal of Emerging and Selected Topics in Power Electronics,2019,7(4):2292-2302.
• [12]LUO J J,ZHANG X P,XUE Y,et al.Harmonic analysis of modular multilevel matrix converter for fractional frequen cy transmission system[J].IEEE Transactions on Power Delivery,2019,35(3):1209-1219.
• [13]李姝玉，于弘洋，葛菁，等.双端口矩阵变换器在工/低频电网互联下的电容及电压波动特性分析[J].电网技术，2020,44(4):1437-1444.
• [14]王文杰，杨益平，杭丽君，等.应用于交-交变换的M3C矩阵变换器系统控制策略[J].电力系统自动化，2020,44(12):186-192.
• [15]SUN P W,WANG X F,HU Y S,et al.The harmonic analysis and the arm capacitor parameters selection of module multilevel matrix converter[C].2016 IEEE PES Asia-Pacific Power and Energy Conference,Xi'an,China,IEEE,2016:1617-1621.
• [16]徐政，肖晃庆，张哲任.柔性直流输电系统[M].2版.北京：机械工业出版社，2017.
• [17]徐政，张哲任.低频输电技术基本理论之一———M3C的数学模型与等效电路推导[J].浙江电力，2021,40(10):13-21.