Abstract: Mathematical model of HL-2M fast control power supply is imitated, which is mainly used for the control of the vertical instability of plasma. The self-inductance and the mutual-inductance are taken full consideration into the mathematical model. The virtual center current control method is innovatively proposed which makes algorithm simpler relatively. The control system uses 2 parameters to control 3 variables benefited from the multiple-input-multiple-output control method. This paper draws up multi-coil coupling voltage based on basic power supply plan and circuit equation based on the fast control power supply topology, then obtains coil voltage mathematical model by combining them. Finally the correctness has been verified with simulations. The results show that the mathematical model is correct, which provides a solid foundation for further calculation.

Key words: Fast control power supply, Multi-coil coupling, Center current control method, Multiple-input- multiple-output control method

摘要： 针对中国环流器2号M(HL-2M)装置中用于核聚变物理实验等离子体的垂直不稳定性控制的快控电源拓扑结构，充分考虑线圈的自感与互感对输出的影响，构建出数学模型，首次提出并运用虚拟中心电流法，使得控制算法更加简单，采用多输入多输出的控制方法，利用2个参量控制3个变量。本文基于基本供电方案得到多线圈耦合电压，基于快控电源拓扑推导出快控电源电路方程，再将其合并得到最终的线圈电压数学模型，最后进行仿真验证。结果表明数学模型搭建正确，为今后进行进一步计算提供了坚实的基础。

关键词: 快控电源, 多线圈耦合, 中心电流控制法, 多输入多输出控制