This article introduces the analytic modeling optimal control method in details, aiming at solving special control problems of pulsed power supply for heavy-ion accelerator magnet. These problems include variable waveform, high speed, high precision, and wide dynamic range. To meet these requirements, this method has been proposed as a new choice. The mathematical model is analytic function, which is concerned with the continuous dynamics during topology switching period. Moreover, based on the analytic function, the optimal duty cycle can be calculated by high-performance controller. In simulations, compared with PID regulation, this method has a better ability to track a reference waveform which has a wide dynamic range. Meanwhile, we have made simulations with two magnets and four reference waveforms. The current can be controlled to the reference value at the end of each switching cycle. In experiments, the current of power supply can track above four reference waveforms and the maximum rate of current change is 8000 A/s. There is an excellent agreement between the results of experiments and simulations. Therefore, this control method has been verified.

中文翻译：

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加速磁体脉冲电源的解析建模优化控制


本文详细介绍了解析建模优化控制方法，旨在解决重离子加速器磁体脉冲电源的特殊控制问题。这些问题包括波形可变、高速、高精度和宽动态范围。为了满足这些要求，该方法被提出作为一种新的选择。数学模型是解析函数，涉及拓扑切换期间的连续动态。此外，基于解析函数，可以通过高性能控制器计算最佳占空比。在仿真中，与PID调节相比，该方法具有更好的跟踪宽动态范围参考波形的能力。同时，我们用两个磁铁和四个参考波形进行了模拟。在每个开关周期结束时电流可以被控制到参考值。实验中，电源电流可以跟踪以上四种参考波形，最大电流变化率为8000A/s。实验和模拟的结果非常吻合。因此，该控制方法得到了验证。